Step-by-step explanation:
[tex] = { (- 12)}^{ - 2} [/tex]
[tex] = \frac{1}{ {( - 12)}^{2} } [/tex]
[tex] = \frac{1}{ {12}^{2} } \: or \: \frac{1}{144} [/tex]
What is the slope of the blue line
Hello there!
To find the slope of a line, we need to know at least two points contained in the graph of the line.
The slope [tex]m[/tex] of a line passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula: [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].
As we can see on the graph, two points contained on the line are [tex](0,~3)[/tex] and [tex](2,~0)[/tex].
Using the formula above, we get that:
[tex]m=\dfrac{3-0}{0-2}[/tex]
Subtract the values on both numerator and denominator of the fraction
[tex]m=-\dfrac{3}{2}~~\checkmark[/tex]
This is the slope of this line we were looking for and is the answer contained on the 4th option.
The amount of time taken to finish a Biology exam has a normal distribution with a mean of 80 minutes and standard deviation of 15 minutes. About what percent of test takers finished the exam less than 65 minutes
Answer:
15.86552112%
Step-by-step explanation:
Approximately 15.87% of test takers completed the exam in under 65 minutes.
How to find the percentage of test takers?To find the percentage of test takers who finished the exam in less than 65 minutes, we need to use the normal distribution to find the proportion of test takers who fall within this time range.
First, we need to convert the time in minutes to a standard score, also known as a z-score.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the value (in this case, the time taken to finish the exam), μ is the mean, and σ is the standard deviation.
Substituting the given values into the formula, we get:
z = (65 - 80) / 15 = -1
This means that the time of 65 minutes is 1 standard deviation below the mean.
Next, we can use a z-table or a calculator that can calculate the area under the normal curve to find the proportion of test takers who scored less than 65 minutes. This proportion is the same as the percentage of test takers who finished in less than 65 minutes.
Using a z-table or a calculator, we find that the proportion of test takers who scored less than 1 standard deviation below the mean is about 0.1587 × 100% = 15.87%. This is also the percentage of test takers who finished the exam in less than 65 minutes.
Therefore, about 15.87% of test takers finished the exam in less than 65 minutes.
Learn more about the z-score here:
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30 ptss answer my last question plzz
Answer:
I did :)
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)?
como se presenta el nucleo en el predicado
On this view, the primary constituent units of the Page 4 Chapter 1, page 4 clause are the NUCLEUS, which contains the predicate (usually a verb), the CORE, which contains the nucleus and the arguments of the predicate, and the PERIPHERY, which subsumes non-arguments of the predicate.
HELPPP sorry about the quality i couldn’t get it any clear .
Answer:
180-130=50
Then fill in the blanks (* sorry if this doesn't make sense but here are the answers *)
1,3,4,5,6: 130
2,7,8: 50
:)
A rectangular area is to be enclosed and divided into thirds. The family has $880 to spend for the fencing material. The outside fence costs $10 per foot installed, and the dividers cost $20 per foot installed. What are the dimensions that will maximize the area enclosed
Answer:
\W = Width
L = Length
Draw rectangle W x L
Divde rectangle into thirds with two lines parallel with width.
Outside fance perimeter = 2 W + 2 L
Inside fance length = 2 W
Total cost :
( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $
( 2 W + 2 L ) * 10 + 2 W * 20 = 400
20 W + 20 L + 40 W = 400
60 W + 20 L = 400 Divide both sides by 20
60 W / 20 + 20 L / 20 = 400 / 20
3 W + L = 20 Subtract 3 W to both sides
3 W + L - 3 W = 20 - 3 W
L = 20 - 3W
Area :
A = W * L =
W * ( 20 - 3W ) =
20 W - 3 W ^ 2
First derivation :
dA / dW = 20 - 3 * 2 * W = 20 - 6 W
If first derivation = 0 a function has a local maximum or a local minimum.
dA / dW = 0
20 - 6 W = 0 Add 6 W to both sides
20 - 6 W + 6 W = 0 + 6 W
20 = 6 W Divide both sides by 6
20 / 6 = 6 W / 6
20 / 6 = W
2 * 10 / ( 2 * 3 ) = W
10 / 3 = W
W = 10 / 3 ft
If second derivative < 0 then function has a maximum.
If second derivative > 0 then function has a mimum.
In this case second derivative = - 6
Second derivative < 0 so function has a maximum.
For W = 10 / 3 ft
L = 20 - 3W = 20 - 3 * 10 / 3 = 20 - 10 = 10 ft
Amax = W * L = 10 / 3 * 10 = 100 / 3 ft ^2
Rectangle ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin. What are the coordinates of rectangle A″B″C″D″?
A)
A″ (1, –1), B″ (5, 1), C″ (5, –4), D″ (1, –4)
B)
A″ (1, 1), B″ (1, 5), C″ (4, 5), D″ (4, 1)
C)
A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
D)
A″ (5, 1), B″ (1, 1), C″ (1, 4), D″ (5, 4)
Answer:
c
Step-by-step explanation:
The coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
ABCD is a rectangle.
ABCD is translated according to the rule (x, y) → (x + 6, y) to rectangle A′ B′ C′ D′ and then rotated 90° counterclockwise about the origin.
Translating means equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally.
The coordinates of rectangle after translations are A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
Hence the coordinates of rectangle A″B″C″D″, A″ (–5, 1), B″ (1, –1), C″ (–1, 4), D″ (–5, 4)
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If a carpet costs $6.99 per square yard, how much
would it cost to buy carpet for the room in
problem 1?
Carpet costs $1 to $5 per square foot on average for the materials. Carpet prices start at $0.50 to $0.75 per square foot for cheap, builder-grade nylon, polyester, or olefin. Medium grade to high-quality carpet costs $2 to $10 per square foot on average.
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
A. infinitely many
B. 0
ОО
C. cannot be determined
D.
Answer:
No solutions (cannot be determined)
Step-by-step explanation:
If the slopes are the same, but the y-intercepts are different, this means that the lines will never intersect each other because they are going at the same rate but starting on different positions of the y-axis. Therefore, there are no solutions for the system of equations.
survey of 25 students in line during registration that 3 were math majors 10 were history majors 2 were psychology majors 7 were biology majors and the rest were undecided if the clerk calls a name from the same line of students at random find the probability of students would be either history or biology major
Answer:
Most likely math majors
Step-by-step explanation:
Math majors have 10, and biology majors was 7. If you put it in percent for using 100% as your highest percent it is 10%MM and 7%BM
MM = math majors
BM = biology majors
Hope this helps!!:)))
what is the slope of this line A 3/2 B 2/3 C -3/2
Answer:
B 2/3
Step-by-step explanation:
HEY. YES, YOU. PLEASE HELP
Answer:
B: 1 years
Step-by-step explanation:
thats what the 1+ means
PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
a) 294
b) 10
Step-by-step explanation:
42minutes*7gallongs= 294 gallons in 42 minutes
30fish/3days = 10 fish per day.
What is the value of y in the triangle shown below?
Answer:
Step-by-step explanation:
sinθ = opp/hyp
ssin30 = 17 / y
y = 17 / sin30 = 17 /0.5 = 34
An animal pen is in the shape of a triangle. One of the interior angle of the triangle is 60 degrees. The measures of the other interior angles are 2x and x. What are the measures of the other interior angles?
Answer:
2x=80º
x=40º
Step-by-step explanation:
180-60=3x
120=3x
40=x
Solve. Graph the solution and write the solution in interval notation.
2+|x−4|>6
Answer:
i graphed it for you
Step-by-step explanation:
There are 25 students in math class. Yesterday, 6 students were absent. What percent of students were absent?
Answer:
1.5 out of 25
Step-by-step explanation:
Work put and simplify where possible
2/5 + 1/3
5/9 - 1/2
Answer:
11/15 and 1/18
Step-by-step explanation:
2/5+1/3 common denominator
6/15+5/15=11/15
5/9-1/2 common denominator
10/18-9/18=1/18
If you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.25% or more
Using the binomial distribution, it is found that there is a 0.04 = 4% probability that both the stocks in your selection had yields of 3.25% or more.
For each stock, there are only two possible outcomes, either it yields 3.25% of more, or it does not. The probability of an stock yielding 3.25% or more is independent of any other stock, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 2 stocks, hence [tex]n = 2[/tex]We suppose that 20% of them yield 3.25% of more, hence [tex]p = 0.2[/tex].The probability of both is P(X = 2), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]
0.04 = 4% probability that both the stocks in your selection had yields of 3.25% or more.
A similar problem is given at https://brainly.com/question/24863377
2.
Write an equation for the translation of y = |x|.
10.5 units left
A. y = |x – 10.5|
B. y = |x| + 10.5
C. y = |x| – 10.5
D. y = |x + 10.5|
Answer:
D. y = |x + 10.5|
Step-by-step explanation:
I got this answer correct
Is this relation a function? Justify your answer.
A. No, because two points with the same y-value have different x- values.
B. Yes, because every x-value corresponds with a single y-value.
C. Yes, because every x- and y-value is positive.
D. Yes, because the number of x-values is the same as the number of y-values.
Answer:
the answer is b
Step-by-step explanation:
Please help me with this problem! thank you!!
[tex]\theta = 0.1278\:\text{rad}[/tex]
Step-by-step explanation:
The arc length S is related to the angle subtended by the is relation:
[tex]S = r\theta[/tex]
where r is radius of the circular orbit. In this case the radius is
[tex]r = 3960\:\text{mi} + 500\:\text{mi} = 4460\:\text{mi}[/tex]
and S = 570 mi so the angle [tex]\theta[/tex] is
[tex]\theta = \dfrac{S}{r} = \dfrac{570\:\text{mi}}{4460\:\text{mi}}[/tex]
[tex]\:\:\:\:\:= 0.1278\:\text{rad}[/tex]
4x+12y=-16 solve for y show work
Solution for 4x-12y=16 equation:
Simplifying
4x + -12y = 16
Solving
4x + -12y = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12y' to each side of the equation.
4x + -12y + 12y = 16 + 12y
Combine like terms: -12y + 12y = 0
4x + 0 = 16 + 12y
4x = 16 + 12y
Divide each side by '4'.
x = 4 + 3y
Simplifying
x = 4 + 3y
1. Mrs. Shelley's class is reading The Lion, the Witch,
and the Wardrobe. If they read 16 pages every week,
how many pages can they read in 5 weeks?
Answer:
80 weeks
Step-by-step explanation:
We can use proportions to figure out the answer to this problem:
[tex]\frac{16}{1} = \frac{x}{5}[/tex]
16 pages every week, and some amount of pages every 5 weeks. Notice that if we can multiply 1 by 5 to get 5, we should be able to multiply 16 by 5 to get the value of x. 16 times 5 is 80, and this is the answer to our problem.
If you have any questions, let me know!
Please help thank you :)
Answer:
80%. Eighty percent of them
Using the graph as your guide, complete the following statement.
The discriminant of the function is ____
Step-by-step explanation:
Graph is not intersecting with Line X, so D < 0
Discriminant is negative
Option → A
Answer:
A. Negative
Step-by-step explanation:
a diamond ring was reduced from $799.99 to $499.99 find the percent decrease in the price round the answer to the nearest tenth of a percent if necessary
Answer:
The price was reduced by about 53%
Step-by-step explanation:
Per cent of change = (amount of change) ÷ (original amount)
% change = (799.99 - 375.99)/799.99
= 424 / 799
= .5300
= 53 %
Find the sum 8 2/9 - 2 2/3
A. 5 1/3
B. 5 5/9
C. 6 2/3
D. 6 5/9
Answer:
I think it's B :D
Step-by-step explanation:
D.6 5/9
HOPE IT HELP CHILD
HELP PLS!!! I just need help on #2 the commutative property of addition
