Since polygon A prime B prime C prime D prime above is above the image of polygon ABCD, the type of transformation shown is: D. vertical translation.
What is a transformation?In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.Read more on function and translation here: brainly.com/question/31559256
#SPJ1
Answer:
Vertical translation
Step-by-step explanation:
I am in the middle of taking the quiz and belive this is the correct answer!
What is the area of the shaded part of the circle?
And also, I am so confused about how to do it so can someone help me pls?
The required area of the shaded part of the circle is 50.24 sq. cm
What is area of a circle?A circle of radius r has an area of r2 in geometry. Here, the Greek letter denotes the constant ratio of a circle's diameter to circumference, which is roughly equivalent to 3.14159.
According to question:Given data:
Radius of small circle = 6/2 = 3 cm
Radius of big circle = 10/2 = 5 cm
then.
Area of shaded part = area of big circle - area of small circle
Area of shaded part = π(5)² - π(3)²
Area of shaded part = 25π - 9π
Area of shaded part = 16π
Area of shaded part = 50.24 sq. cm
Thus, required area of the shaded part of the circle is 50.24 sq. cm
To know more about Circle visit:
brainly.com/question/12711347
#SPJ1
What is the probability of selecting an Ace, not replacing it, and then selecting a King?
The probability of selecting an Ace, not replacing it, and then selecting a King is 4/663 or approximately 0.006 or 0.6%.
The probability of selecting an Ace, not replacing it, and then selecting a King can be calculated using the rules of conditional probability.
First, we need to determine the probability of selecting an Ace from a standard deck of 52 cards. There are four Aces in the deck, so the probability of selecting an Ace is 4/52, which can be simplified to 1/13.
Next, we need to consider the fact that the Ace is not replaced before selecting the King. This means that the deck now contains 51 cards, with only three remaining Aces. Therefore, the probability of selecting a King after selecting an Ace without replacement is 4/51.
To determine the overall probability of selecting an Ace and then a King, we multiply the probability of selecting an Ace (1/13) by the probability of selecting a King after selecting an Ace without replacement (4/51).
The calculation is as follows:
(1/13) x (4/51) = 4/663
To know more about conditional probability, refer to the link below:
https://brainly.com/question/30144287#
#SPJ11
8
Violet is taking a computer-adaptive test, where each time she answers a question correctly, the computer gjves
her a more difficult question. Let Q be the number of questions Violet answers correctly before she misses one.
What type of variable is Q?
None of them.
Geometric
ОООО
Binomial
Algebraic
The variable Q, representing the number of questions Violet answers correctly before she misses one in a computer-adaptive test, is a Geometric variable.
This is because a geometric distribution models the number of trials needed for the first success in a series of Bernoulli trials with a constant probability of success.
Where as all aspects of a logarithmic articulation that is isolated by a short or in addition to sign is known as the term of the algebraic expression and an algebraicexpression with two non-zero terms is called a binomial.
To learn more about variable: https://brainly.com/question/28248724
#SPJ11
Let ∑an be a convergent series, and let S=limsn, where sn is the nth partial sum
The given statement "If ∑an is a convergent series, then S = limsn, where sn is the nth partial sum. " is true. This is because the sum of the series is defined as the limit of the sequence of partial sums.
Given that ∑an is a convergent series, sn is the nth partial sum, S=limsn
To prove limn→∞ an = 0
Since ∑an is convergent, we know that the sequence {an} must be a null sequence, i.e., it converges to 0. This means that for any ε>0, there exists an N such that |an|<ε for all n≥N.
Now, let's consider the partial sums sn. We know that S=limsn, which means that for any ε>0, there exists an N such that |sn−S|<ε for all n≥N.
Using the triangle inequality, we can write:
|an|=|sn−sn−1|≤|sn−S|+|sn−1−S|<2ε
Therefore, we have shown that limn→∞ |an| = 0, which implies limn→∞ an = 0, as required.
Hence, the proof is complete.
To know more about convergent series:
https://brainly.com/question/15415793
#SPJ4
Learning Task 4: Fill in the boxes for the correct information needed.
Quadrilaterals
Remember that we can relate triangle to quadrilateral through the
illustration that each triangle has a total of 180 degrees and a
quadrilateral has 360 degrees, therefore, there are two triangles in a
quadrilateral to have both equal to 360 degrees.
The relationship of triangles and quadrilaterals is in their area. The
formula in getting the area of a quadrilateral is A=BxH while in a triangle
it is A=(BxH)/2. This shows that in every quadrilateral there are two
triangles
There are many different types of quadrilaterals and they all share the
similarity of having four sides, two diagonals, and the sum of their interior
angles is 360 degrees. They all have relationships to one another, but
they are not all exactly alike and have different properties.
Quadrilaterals have four sides, two diagonals, and the sum of their interior angles is 360 degrees.
How to find Quadrilaterals?Quadrilaterals are four-sided polygons that have two diagonals connecting opposite vertices. One of the most important properties of quadrilaterals is that the sum of their interior angles is always equal to 360 degrees. This means that a quadrilateral can be divided into two triangles, each of which has a total of 180 degrees. This relationship between triangles and quadrilaterals is useful when calculating the area of a quadrilateral.
The formula for calculating the area of a quadrilateral is A = B x H, where A is the area, B is the base, and H is the height. This formula is applicable to all types of quadrilaterals, regardless of their shape or size. However, different types of quadrilaterals have unique properties and formulas for calculating their area.
For example, a square is a type of quadrilateral that has four sides of equal length and four right angles. The formula for finding the area of a square is A = s², where s is the length of the side. A rectangle is a type of quadrilateral with two pairs of parallel sides and four right angles. The formula for calculating the area of a rectangle is A = L x W, where L is the length and W is the width.
A rhombus is another type of quadrilateral that has four sides of equal length, but its angles are not necessarily right angles. The formula for finding the area of a rhombus is A = (D₁ x D₂) / 2, where D₁ and D₂ are the lengths of the diagonals.
A trapezoid is a quadrilateral with one pair of parallel sides. The formula for finding the area of a trapezoid is A = ((B₁ + B₂) / 2) x H, where B₁ and B₂ are the lengths of the parallel sides, and H is the height between them.
Kites are quadrilaterals with two pairs of adjacent equal-length sides. The formula for finding the area of a kite is A = (D₁ x D₂) / 2, where D₁ and D₂ are the lengths of the diagonals.
In summary, all quadrilaterals share some common characteristics, such as having four sides, two diagonals, and the sum of their interior angles being equal to 360 degrees. However, different types of quadrilaterals have distinct properties and formulas for finding their area. By understanding these properties and formulas, one can solve problems involving different types of quadrilaterals.
Learn more about quadrilateral
brainly.com/question/29934440
#SPJ11
"Please let me know if this is convergent or divergent and what
test (comparison, integral, limit, p-series, divergence test) was
used to get the answer. Please show work"
k = 1
Sum= 5^(K-1)2^(K+1)/K^k
As k goes to infinity, the expression (k / (k+1)) approaches 1. Therefore, the limit becomes: lim (k -> infinity) 10 * (1^k) = 10
Since the limit is greater than 1, the Ratio Test indicates that the series is divergent.
To determine if the given series is convergent or divergent, we can use the Ratio Test. The series is given by:
Σ(5^(k-1) * 2^(k+1) / k^k) from k=1 to infinity
First, let's find the ratio of consecutive terms, a_(k+1)/a_k:
a_(k+1)/a_k = [(5^k * 2^(k+2)) / (k+1)^(k+1)] * [k^k / (5^(k-1) * 2^(k+1))]
Now, let's simplify the expression:
a_(k+1)/a_k = (5 * 2) * (k^k / (k+1)^(k+1))
Now, let's take the limit as k goes to infinity:
lim (k -> infinity) a_(k+1)/a_k = lim (k -> infinity) 10 * (k^k / (k+1)^(k+1))
We can rewrite the expression as:
lim (k -> infinity) 10 * ((k / (k+1))^k)
As k goes to infinity, the expression (k / (k+1)) approaches 1. Therefore, the limit becomes:
lim (k -> infinity) 10 * (1^k) = 10
Since the limit is greater than 1, the Ratio Test indicates that the series is divergent.
to learn more about Convergent series click here:
https://brainly.com/question/15415793
#SPJ11
During 2022, each of the assets was removed from service. The machinery was retired on January 1. The forklift was sold on June 30 for $13,000. The truck was discarded on December 31. Journalize all entries required on the above dates, including entries to update depreciation, where applicable, on disposed assets. The company uses straight-line depreciation. All depreciation was up to date as of December 31, 2021
Loss on disposal of plant assets = $46400 - $32550
Loss on disposal of plant assets = $13850
How to solveDate Account titles and Explanation Debit Credit
Jan. 01 Accumulated depreciation-Equipment $81000
Equipment $81000
June 30 Depreciation expense (1) $4000
Accumulated depreciation-Equipment $4000
(To record depreciation expense on forklift)
June 30 Cash $13000
Accumulated depreciation-Equipment (2) $28000
Equipment $40000
Gain on disposal of plant assets (3) $1000
(To record sale of forklift)
Dec. 31 Depreciation expense (4) $5425
Accumulated depreciation-Equipment $5425
(To record depreciation expense on truck)
Dec. 31 Accumulated depreciation-Equipment (5) $32550
Loss on disposal of plant assets (6) $13850
Equipment $46400
(To record sale of truck)
Calculations :
(1)
Depreciation expense = (Book value - Salvage value) / Useful life
Depreciation expense = ($40000 - $0) / 5 = $8000 per year
So, for half year = $8000 * 6/12 = $4000
(2)
From Jan. 1, 2019 to June 30, 2022 i.e 3.5 years.
Accumulated depreciation = $8000 * 3.5 years = $28000
(3)
Gain on disposal of plant assets = Sale value + Accumulated depreciation - Book value
Gain on disposal of plant assets = $13000 + $28000 - $40000
Gain on disposal of plant assets = $1000
(4)
Depreciation expense = (Book value - Salvage value) / Useful life
Depreciation expense = ($46400 - $3000) / 8
Depreciation expense = $5425 per year
(5)
From Jan. 1, 2017 to Dec. 31, 2022 i.e 6 years.
Accumulated depreciation = $5425 * 6 years = $32550
(6)
Loss on disposal of plant assets = Book value - Accumulated depreciation
Loss on disposal of plant assets = $46400 - $32550
Loss on disposal of plant assets = $13850
Read more about depreciation here:
https://brainly.com/question/27971176
#SPJ1
7) Compute the derivative of the function m(x) = -5xğ · V(x2 – 9)3. =
The answer for the derivative of m(x) is:
m'(x) = -10x(x^2 – 9)^(3/2) - 15x^3(x^2 – 9)^(1/2)
This is the final result after applying the product rule and the chain rule.
By use the product rule and the chain rule how we find the derivative?We can use the product rule and the chain rule to find the derivative of the function
First, let's break down the function as follows:
[tex]m(x) = -5x^2 · V(x^2 – 9)^3[/tex][tex]= -5x^2 · (x^2 – 9)^3/2[/tex]
Using the product rule, we have:
[tex]m'(x) = [-5x^2]' · (x^2 – 9)^3/2 + (-5x^2) · [(x^2 – 9)^3/2]'[/tex]Taking the derivative of the first term:
[tex][-5x^2]' = -10x[/tex]Taking the derivative of the second term using the chain rule:
[tex][(x^2 – 9)^3/2]' = (3/2)(x^2 – 9)^(3/2-1) · 2x[/tex][tex]= 3x(x^2 – 9)^(1/2)[/tex]
Putting it all together:
[tex]m'(x) = -10x · (x^2 – 9)^(3/2) + (-5x^2) · 3x(x^2 – 9)^(1/2)[/tex][tex]= -10x(x^2 – 9)^(3/2) - 15x^3(x^2 – 9)^(1/2)[/tex]
To compute the derivative of a function, we need to apply the rules of differentiation, which include the product rule and the chain rule. In this case, we have a product of two functions, [tex]-5x^2[/tex] and [tex]V(x^2 – 9)^3[/tex], where V represents the square root. We apply the product rule to differentiate the two functions.
The product rule states that if we have two functions, u(x) and v(x), then the derivative of their product, u(x) · v(x), is given by u'(x) · v(x) + u(x) · v'(x). We use this rule to differentiate the two terms in the product.For the first term, [tex]-5x^2[/tex], the derivative is straightforward and is simply -10x.
For the second term, [tex]V(x^2 – 9)^3[/tex], we need to use the chain rule because the function inside the square root is not a simple polynomial. The chain rule states that if we have a function g(u(x)), where u(x) is a function of x, then the derivative of g(u(x)) is given by g'(u(x)) · u'(x). In this case, we have [tex]g(u(x)) = V(u(x))^3[/tex], where [tex]u(x) = x^2 – 9[/tex]. We need to apply the chain rule with [tex]g(u) = V(u)^3[/tex] and [tex]u(x) = x^2 – 9[/tex].
To apply the chain rule, we first take the derivative of the function [tex]g(u) = V(u)^3[/tex] with respect to u. The derivative of [tex]V(u) = u^(1/2[/tex]) is [tex]1/(2u^(1/2))[/tex].
Learn more about Derivative
brainly.com/question/30365299
#SPJ11
I will give brainlyist to who ever answers it.
A family with travel 475 miles on the Road trip which inequality can be used to find all possible values of T the time it would take to reach their destination if they travel in an average speed of at least in miles per hour
The inequality that can be used to find all possible values of T, the time it would take to reach their destination if they travel at an average speed of at least "r" miles per hour, can be expressed as:
T ≤ 475 / r
This inequality states that the time taken (T) should be less than or equal to the distance traveled (475 miles) divided by the average speed (r miles per hour). By dividing the total distance by the average speed, we obtain the maximum time it would take to reach the destination. Any time less than or equal to this value would satisfy the condition of traveling at an average speed of at least "r" miles per hour.
To know more about average speed, refer here:
https://brainly.com/question/10449029
#SPJ11
Match the term to its description.
Match Term Definition
Elliptical galaxy A) Has a large flattened core
Galaxy B) Forms a perfect sphere or an ellipse and is flattened to some degree
Lens galaxy C) Has a central core from which curved arms spiral outward
Spiral galaxy D) Is a collection of several billion stars and interstellar matter isolated in space
The type of galaxy matched to its description.
Elliptical galaxy: B) Forms a perfect sphere or an ellipse and is flattened to some degree
Galaxy: D) Is a collection of several billion stars and interstellar matter isolated in space
Lens galaxy: A) Has a large flattened core
Spiral galaxy: C) Has a central core from which curved arms spiral outward
Elliptical galaxy: An elliptical galaxy is a type of galaxy that typically forms a perfect sphere or an ellipse shape. It is characterized by its smooth and featureless appearance, lacking the distinct spiral arms seen in spiral galaxies. Elliptical galaxies often have a flattened shape due to their rotation and gravitational interactions with other galaxies.
Galaxy: A galaxy refers to a vast collection of stars, interstellar gas, dust, and dark matter, all held together by gravity. Galaxies come in various shapes and sizes, and they can contain billions or even trillions of stars. They are the building blocks of the universe and are distributed throughout the cosmos.
Lens galaxy: A lens galaxy is a type of galaxy that has a large flattened core. It gets its name from the gravitational lensing effect it produces. Gravitational lensing occurs when the gravitational field of the lens galaxy bends and distorts the light from objects behind it, creating a lens-like effect.
Spiral galaxy: A spiral galaxy is a type of galaxy that has a central core or bulge from which curved arms spiral outward. These arms are made up of stars, gas, and dust, and they give spiral galaxies their distinct appearance. Spiral galaxies often have a flattened disk shape with a central bulge and extended arms that can stretch out across the disk.
Learn more about the galaxy:
https://brainly.com/question/17117676
#SPJ11
how long is the red ribbon if the blue ribbon is 10 inches?
Joe started a tutoring job and earns $40 per week tutoring his classmates. He bought a new iPad to help with his tutoring job for $150. Write a linear equation that represents Joe's money, y, after x amount of weeks.
PLEASE HELP WILL MARK BRANLIEST
If the first, last, middle car in the parking-row are blue, then the total number of different arrangements are 144.
There are 7 different models of cars, out of which 3 are blue and 4 are red.
If the first, middle and last car in the row is blue, which means that the the position of blue cars is fixed and these 3 "blue-cars" can be arranged in 3! ways.
Now, only the 4 spots are left, so, the remaining 4 red-cars can be arranged in the remaining 4 spots in = 4! ways.
Therefore, the total number of ways is = 3! × 4! = 6 × 24 = 144.
Learn more about Arrangement here
https://brainly.com/question/14738268
#SPJ1
Find the value of k. Give your answer in degrees ().
k
84°
Not drawn accurately
Step-by-step explanation:
I had to add some assumed portions to your posted picture. See image.
The yellow boxed angle is 84 degrees (upper LEFT) due to alternate interior angles of parallel lines transected by another line.
then, since the triangle is isosceles ....the other (lower LEFT) angle is 84 degrees also....
that means that k= 12 degrees for the triangle interior angles to sum to 180 degrees .
helppppp asap
solve the system of equations using elimination
5x + 3y = 8
4x + y = 12
1. (1, 1)
2. (2, 4)
3. (3, 0)
4. (4, -4)
Answer:
4.
Step-by-step explanation:
What is elimination method?
In the elimination method you either add or subtract the equations to get an equation in one variable
Lets solve for X first.
We have the equations:
5x+3y=8
4x+y=8
We take the GCM (3) and multiply everything on the bottom by -3 and multiply everything on the top by 1 (which in this case, dont touch the top) which we should now have:
5x+3y=8
-12x-3y=-36
We can now eliminate the Y and add like terms from the top to bottom, from which we should now have remaining:
-7x=-28
Solve for X
x=4
Now that we have 4, plug it in to one of the equations, which we should plug it in to 4x+y=12
4(4)+y=12
Simplify:
16+y=12
Subtract 16 to the other side:
y=-4
So now we got our x and y vaule, from which is how we get the answer (4,-4)
We can calculate the depth � dd of snow, in centimeters, that accumulates in Harper's yard during the first ℎ hh hours of a snowstorm using the equation � = 5 ℎ d=5hd, equals, 5, h. How many hours does it take for 1 11 centimeter of snow to accumulate in Harper's yard? 1/5 hours How many centimeters of snow accumulate per hour?
It takes 1/5 hours or 12 minutes for 1 centimeter of snow to accumulate in Harper's yard.
We are given that the depth of snow that accumulates in Harper's yard during the first h hours of a snowstorm is given by the equation d = 5h.
To find out how many hours it takes for 1 centimeter of snow to accumulate, we need to find the value of h when the depth of snow d is equal to 1 centimeter.
Substituting d = 1 in the equation d = 5h, we get:
1 = 5h
Dividing both sides by 5, we get:
h = 1/5
In summary, the equation d = 5h gives the depth of snow in centimeters that accumulates in Harper's yard during the first h hours of a snowstorm. To find how many hours it takes for 1 centimeter of snow to accumulate, we substitute d = 1 and solve for h, which gives us h = 1/5 hours or 12 minutes.
To learn more about equation click on,
https://brainly.com/question/11494745
#SPJ1
Complete question is:
We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d = 5h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?
Solve the equation. 2 = \dfrac{f}{8}2= 8
f
2, equals, start fraction, f, divided by, 8, end fraction
f =\,f=f, equals
The solution to the equation is f = 16. The value of f can be found by multiplying both sides of the equation by 8.
How we solve the equation: 2 = f/8 for f?To solve the equation 2 = f/8 for f, we aim to isolate f on one side of the equation.
To do so, we can multiply both sides of the equation by 8, as this will cancel out the denominator of f/8.
By multiplying 2 by 8, we obtain 16 on the left side of the equation.
On the right side, the 8 in the denominator cancels out with the 8 we multiplied, leaving us with just f.
we find that f = 16 is the solution to the equation.
This means that if we substitute f with 16 in the equation, we will have a true statement: 2 = 16/8, which simplifies to 2 = 2.
f = 16 satisfies the original equation and is the solution.
It's important to note that when solving equations, we perform the same operation on both sides to maintain equality.
Learn more about equation
brainly.com/question/10413253
#SPJ11
If a card never cost to ask what the first minimum payment would be for $3000 balance transfer at 4. 99% there is currently no balance on the account and the fee is 4% the minimum payment would be what
The first minimum payment would be $62.40 as it is higher than $25.
To determine the first minimum payment for a $3000 balance transfer at 4.99% with a 4% fee, you need to first calculate the balance transfer fee and add it to the initial balance. Then, you'll need to determine the minimum payment based on the credit card issuer's policy.
1. Calculate the balance transfer fee: $3000 * 4% = $120
2. Add the balance transfer fee to the initial balance: $3000 + $120 = $3120
3. The minimum payment depends on the credit card issuer's policy. Typically, the minimum payment is a percentage of the balance or a fixed amount, whichever is higher. For example, if the issuer requires a minimum payment of 2% of the balance or $25, whichever is higher:
- Calculate 2% of the balance: $3120 * 2% = $62.40
- Since $62.40 is higher than $25, the first minimum payment would be $62.40.
Please note that the actual minimum payment may vary depending on the specific credit card issuer's policy.
To know more about minimum payment, refer to the link below:
https://brainly.com/question/18917426#
#SPJ11
Write as a logarithm with a base of 4.
2
To express the number 2 as a logarithm with a base of 4, you would write it as log₄(16). This is because 4² = 16.
In general, the logarithm function is the inverse of exponentiation. When we write logₐ(b) = c, it means that a raised to the power of c equals b.
In your example, you want to find the logarithm of 2 with a base of 4, which means you are looking for the exponent to which 4 must be raised to obtain 2.
So, log₄(2) represents the exponent c such that 4 raised to the power of c equals 2.
To learn more about exponent, refer below:
https://brainly.com/question/5497425
#SPJ11
Solve for x. Assume that lines which appear tangent are tangent.
Is The number of insects feeding on a tree leaf discrete or continious
The number of insects feeding on a tree leaf is a discrete variable.
The number of insects feeding on a tree leaf is a countable variable that can only take on integer values (0, 1, 2, 3, etc.). It cannot take on fractional or continuous values. This is because each insect can either feed on the leaf or not, and there cannot be a fractional or continuous number of insects feeding on the leaf.
Therefore, the number of insects feeding on a tree leaf is a discrete variable. This is in contrast to a continuous variable, which can take on any value within a certain range. For example, the weight of the insects on the leaf would be a continuous variable since it can take on fractional values.
In mathematical terms, the number of insects feeding on a tree leaf can be represented as a discrete random variable X, where X can take on any non-negative integer value.
For more questions like Variable click the link below:
https://brainly.com/question/17344045
#SPJ11
If a circle has a circumference of 40π and a chord of the circle is 24 units, then the chord is ____ units from the center of the circle
A circle with a circumference of 40π and a chord of the circle is 24 units, then the chord is 16 units from the center of the circle,
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Here, we are given that the circumference is 40π. That is
40π = 2πr
Dividing both sides by 2π, we get:
r = 20
Now, we need to find the distance between the chord and the center of the circle. Let O be the center of the circle, and let AB be the chord. We know that the perpendicular bisector of a chord passes through the center of the circle. Let P be the midpoint of AB, and let OP = x.
By the Pythagorean Theorem,
x^2 + 12^2 = 20^2
Simplifying,
x^2 + 144 = 400
x^2 = 256
x = ±16
Since OP is a distance, it must be positive. Therefore, x = 16, and the chord is 16 units from the center of the circle.
To learn more about circumference : https://brainly.com/question/27447563
#SPJ11
The spinner below is spun and a letter from the word MATH is chosen. Draw a tree
diagram and list the sample space.
Spinner:
Red
Blue
Yellow
The sample space of the number of outcomes is A = 12
Given data ,
To create a tree diagram and list the sample space, we need to consider the possible outcomes at each stage of the event.
First, we have three options for the spinner: Red, Blue, and Yellow.
Now, let's consider the possible outcomes when a letter is chosen from the word MATH
The total number of outcomes A = 12 outcomes
where A = { RM , BM , YM , RA , BA , YA , RT , BT , YT , RH , BH , YH }
Red Blue Yellow
/ \ / \ / \
M A M A M A
/ \ / \ / \
T H T H T H
Hence , the number of outcomes is A = 12 and the tree diagram is solved
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ1
Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 403 pounds. Agriculture scientists believe that the new fertilizer may decrease the yield. State the appropriate null and alternate hypotheses
Alternative hypothesis can also be written to reflect an increase in yield if the researchers believed that was a possibility.
Why Alternative hypothesis reflect an increase in yield?In hypothesis testing, the null hypothesis is a statement that assumes there is no difference or no effect between two variables.
The alternative hypothesis, on the other hand, assumes that there is a difference or an effect between the variables being tested.
In this scenario, the null hypothesis would be that the new fertilizer has no effect on the yield of the orange grove. The alternative hypothesis would be that the new fertilizer decreases the yield of the orange grove.
So, the appropriate null and alternative hypotheses for this scenario can be stated as follows:
Null hypothesis (H0): The new fertilizer has no effect on the yield of the orange grove.
Alternative hypothesis (Ha): The new fertilizer decreases the yield of the orange grove.
It is important to note that the alternative hypothesis can also be written to reflect an increase in yield if the researchers believed that was a possibility.
Learn more about hypothesis
brainly.com/question/29519577
#SPJ11
Se van a repartir $10000 entre 3 personas de tal forma q la primera recibe $900 mas q la segunda y esta $200 mas q la tercera.La persona más beneficiada recibe en total: a- $4600. b- $4400. c- $4200. d- $4000
Answer:
The answer is A
Step-by-step explanation:
Kimi wants to teach her puppy 4 new tricks. in how many different orders can the puppy learn the tricks?
Answer:
3! = 6
Step-by-step explanation:
Once she teaches the puppy one trick there are 3 possible tricks left. After teaching the second trick there are 2 and after the third there is 1. Therefore, we multiply these numbers together to get 3(2)(1)=6 which is 3!.
Match each angle description on the left with its possible angle measure, m, on the right.
Acute angle ⇒ 0⁰ < m < 90⁰
Straight angle ⇒ m = 180⁰
Obtuse angle ⇒ 90⁰ < m < 180⁰
Right angle ⇒ m = 90⁰
What is an obtuse angle?An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, an obtuse angle is an angle that is wider than a right angle (90 degrees), but not as wide as a straight angle (180 degrees).
When two rays or line segments intersect at a point, they form an angle. If the angle formed is less than 90 degrees, it is called an acute angle. If the angle is exactly 90 degrees, it is called a right angle.
If the angle is greater than 90 degrees but less than 180 degrees, it is called an obtuse angle. Finally, if the angle measures exactly 180 degrees, it is called a straight angle.
Learn more about obtuse angle here: https://brainly.com/question/3250447
#SPJ1
A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 56°. What is the measure of the arc of the monument that her lines of sight intersect?
The measure of the angle of the near arc of the monument that her lines of sight intersect with is 124°
What is the angle of an arc of a circle?The angle of an arc of a circle is the angle formed by the two radii of the circle that intersects with the boundaries of the arc
The distance the park maintenance person stands from the monument = 16 m
The angle the lines of sight from the maintenance person that are tangent with the monument make where they intersect = 56°
Whereby the tangent lines from the monument to the maintenance person intersect and form an angle of 56°, we get that the tangent lines form two right triangles, please see the attached figure which is created with MS Excel;
The right triangles ΔABO and ΔACO are congruent by Leg Hypotenuse, LH, congruence rule
Therefore; ∠OAC ≅ ∠OBC
m∠OAC = m∠OBC (Definition of congruent angles)
Similarly, m∠BOA = m∠COA
However, m∠BAC = m∠OAC + m∠OBC (Angle addition postulate)
m∠BAC = 2 × m∠OAC = 56°
m∠OAC = 56° ÷ 2 = 28°
m∠BOA = 90° - m∠OBC (Acute angles of a right triangle)
m∠BOA = 90° - 28° = 62°
Therefore, m∠BOA = m∠COA = 62°
The angle at the center = m∠BOC = m∠BOA + m∠COA
m∠BOC = 62° + 62° = 124°
Angle formed at the center of the monument, m∠BOC = 124°
The arc angle of a circle = The angle the radius of the arc forms at the center of the circle.
The measure of the arc close to the park maintenance person is 124°
Learn more on circle theorems here: https://brainly.com/question/28699728
#SPJ1
Multiply (x-4)(x+5) Show your work in the box and enter your answer in the spot below: (No work loses points)
The solution to the expression is x² + x - 20
How to calculate the expression?(x-4)(x+5)
open the bracket
x² + 5x - 4x - 20
x² + x - 20
Hence the solution to the expression leads to quadratic equation which is written is x² + x -20
Read more on expression here
https://brainly.com/question/3726877
#SPJ1
17. Cylinder A is similar to Cylinder B with a scale
factor of 3:7. If the surface area of Cylinder A
is 153 cm², find the surface area of Cylinder B.
The value of the surface area of Cylinder B is, 357 cm²
We have to given that;
Cylinder A is similar to Cylinder B with a scale factor of 3:7.
And, the surface area of Cylinder A.
Let us assume that,
The value of the surface area of Cylinder B is, y.
Hence, We can formulate;
3x : 7x = 153 : y
By comparing,
3x = 153
x = 51
Thus, The value of the surface area of Cylinder B is,
y = 7x
y = 7 x 51
y = 357 cm²
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ1
