Answer:
a) 0.705015
b) 0.13424
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
a) Find the probability that an egg has an incubation period between 328 and 338 hours.
For x = 328
z = 328 - 336/3.5
z = -2.28571
Probability value from Z-Table:
P(x = 328) = 0.011135
For x = 338
z = 338 - 336/3.5
z = 0.57143
Probability value from Z-Table:
P(x = 338) = 0.71615
The probability that an egg has an incubation period between 328 and 338 hours.
P(x = 338) - (P(x = 328)
0.71615 - 0.011135
= 0.705015
b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
We are given a sample of 15 wren eggs,
We use this z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 337 - 336/3.5/√15
z = 1.10657
Probability value from Z-Table:
P(x<337) = 0.86576
P(x>337) = 1 - P(x<337) = 0.13424
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality
Answer:
Multiplication sorry I late
Step-by-step explanation:
Answer: Multiplication property of equality
If three fifths of the 45 students in the math class do not like working with
fractions, how many of the students like working with fractions?
Answer:
18
Step-by-step explanation:
Two fifths like working with fractions.
2/5x45/1=90/5
Hope I helped!
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
2p(9p − 1) pls help will give brainiest
Answer:
18p^2-2p
Step-by-step explanation:
You need to distribute
2*9= 18, p*p= p^2 so 18p^2
Then
2*-1= -2 and you need to include the p so -2p
what is the decimal expansion for 7 over 9
Answer:
0.77777777......
Step-by-step explanation:
You divide them. Hope I helped!
Please mark Brainliest!!!!
Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6
Answer:
To find this, multiply 6 by the decimal value of the percent.
6*2.6=15.6
Final answer: 15.6
Step-by-step explanation:
Answer:
15.6 or c
Step-by-step explanation:
What value(s) of x will make x2 = 36 true?
Answer:
x²=36
x²=6²
equating both squares
x=6
so, b is correct answer
The solution of the given quadratic equation is x=6 and x=-6.
The given equation is x²=36.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation can be solved as follows
Now, x²=36
Square root on both the sides, we get
x=±√36
⇒ x=±6
So, x=6 and x=-6
Hence, the solution of the given quadratic equation is x=6 and x=-6.
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Find the measures of the angles.
(8x-1)º
(3x + 4)º
(3x + 9)
°
95, 40, 45
90, 25, 65
80, 52, 48
70, 68, 42
Answer:
answer is - 95, 40, 45
Step-by-step explanation:
Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:
(8x-1)+(3x + 4)+(3x + 9) = 180
=> 14x +12 = 180
=> 14x = 180-12
=> x = 168/14 = 12
now putting value of x = 12
we get---
8*12 -1 = 96-1 = 95
3*12 + 4 = 36+4 = 40
3*12 + 9 = 36 + 9 = 45
( Answer )
what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship
Answer:
Vertical Angles...............
pls hurry ill make brainliest!
The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9
Answer:
B.
g= 10
Step-by-step explanation:
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
In a survey of 2,300 people who owned a certain type of car, 1,150 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
To find percentage, take the number out of the whole number, and divide it by the whole number. In this case, 1495 out of 2300 said they are satisfied. To find the percent, we have to do 1495/2300=0.65, which is 65%.
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)
A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.
B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.
C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.
D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.
Answer:
I am not really good at this but...if I had to choose the ones that make sense
A and B
Step-by-step explanation:
Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.
Then again I woild not trust my math for the second answer cause I am no good at math.
Solve for x: 5x + 15 = 28
Answer:
[tex]x=\frac{13}{5}[/tex]
Step-by-step explanation:
In order to get the answer to this question you need to subtract and divide on both sides.
[tex]5x + 15 = 28[/tex]
Minus 15 on both sides:
[tex]28-15=13[/tex]
[tex]5x=13[/tex]
Divide 5 on both sides:
[tex]13\div5=\frac{13}{5}[/tex]
[tex]x=\frac{13}{5}[/tex]
Hope this helps.
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]
A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .
Answer:10,-4 and 58/9,-2
Step-by-step explanation:
Plato users
Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices
Answer:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]
Step-by-step explanation:
We are letting d represent the number of drinks and p represent the number of pizza slices.
We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:
[tex]2d+4p=28[/tex]
We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:
[tex]d+p=9[/tex]
Therefore, our system of equations is:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]What is the missing side? Round your answer to the nearest hundredth if necessary .
Answer:
20......................
2. Sara decided to look at new and used vans. Sara found a used van for $3000. A new van is $1500, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
help me please
Answer:
50%
Step-by-step explanation:
Half of 3,000 is 1,500 so she would be paying half, or 50%
In need of help for geometry
Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C
Answer:
m∠A = 60°, m∠B = 80°, m∠C = 40°Step-by-step explanation:
Since BD = DC, the triangle BDC is isosceles, so
m∠C = m∠2Having m∠BDC = 100°, we can find m∠C
m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°Finding angle B
m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°Finding angle A
m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°Answer:
m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
{1.2.3.4.5} set builder
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)
The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Trigonometric equation:
Given equation are,
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]
We know that, [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Hence, The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Learn more about the trigonometric equation here :
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f(x) = x g(x) = 1
What is the domain of (
g
f
) (x)?
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}
Consider the following sequence of successive numbers of the 2k -th power: 1, 2²^k , 3²^k , 4²^ k , 5²^k , ... Show that the difference between the numbers in this sequence is odd for all k ∈ N.
Answer:
The difference between two consecutive numbers in this sequence would be something like:
(2n + 1)^(2*k) - (2n)^(2k)
(or in the other order, but is essentially the same)
where n is an integer number.
Then:
2*n is an even number
2*n + 1 is an odd number.
(2n)^(2k) = 2*(2^(2k-1)*n^(2k)) this will be even for any natural number k.
(2n + 1)^(2k)
Let's suppose that k = 1.
Then we have:
(2n + 1)^(2) = (2n + 1)*(2n + 1) = (2n)^2 + 4n + 1 = 2*(2n^2 + 2n) + 1
If (2n^2 + 2n) is an integer (and it is) we can rename it as N
(2n + 1)^(2) = 2*N + 1
It is still odd.
Now if k = 2, we will have:
(2n + 1)^(2*2) = (2n + 1)^(4)
And using what we found above, we can rewrite this as:
(2*N + 1)^2
And we know that this will be odd.
Then we can already see that:
(2n + 1)^(2k) will be odd for any value of k (where k is a natural number)
Then:
(2n + 1)^(2k) - (2n)^(2k)
Is the difference between an odd number and an even number, and this will always be an odd number.
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
Please help ASAP
Complete the explanation to determine whether each statement is always, sometimes, or never true. If line d is perpendicular to line e, then the slope of line e is 0.
If line d is vertical, then line e is (parallel, vertical, or horizontal) and has a slope of 0. The statement is (always, sometimes, or never) true.
Answer:
Step-by-step explanation:
We know that, two lines with same slope are parallel.
Thus two lines with same positive slopes are parallel.
⇒Two lines with positive slopes are sometimes parallel.
Two lines with same slope can never be perpendicular to each
other as they must be parallel.
