15. Find the rate of change

Answer:

Katherine is 27 years old.

Step-by-step explanation:

44-17=27.

Answer:

27

Step-by-step explanation:

44 age of Joe

-17 years younger

______________

27 years of age

Answer:

5/27

Step-by-step explanation:

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

Answer:

-2,0

Step-by-step explanation:

See the steps below:)

Solution :

P(2 states or more | college degree)

[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]

Total number of people = 58

The number of people who lived in two states or more than two states and also have a college degree = 18

Therefore,

[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]

The number of people who have a college degree = 20

So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]

Thus,

[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]

                                                      [tex]$=\frac{18}{20}$[/tex]

                                                      = 0.900  

Answer:

124 students

Step-by-step explanation:

Girls participating in the exercise

4/15 x 285 = 76

Boys participating in the exercise

3/20 x 320 = 48

Total students participating

76 + 48 = 124

Answer:

13

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.

Answer:

4

Step-by-step explanation:

2m−13=−8m+27

2m+8m=27+13

10m=40

m=40÷10

Therefore, m=4

Answer:

2m - 13 = -8m +27

2m + 8m = 27 + 13

10m = 40

m = 4

Answer: 7 kg

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4096/27

Step-by-step explanation:

This is Exact Form

Answer:

11.69

Step-by-step explanation:

Given that y2 is directly proportional to the cube of x and y is always positive. then;

y² = kx³

if y = 18 when x =4

18² = k4³

324 = 64k

k  = 324/64

k = 5.0625

To get y when x = 3

Recall

y² = kx³

y² = (324/64)3³

y² = 324/64 * 27

y² = 136.6875

y = √136.6875

y = 11.69

Hence the value of y is 11.69

value of. when x = 3 if y = 18 when x =4

A) 27 B) 11.67 C) 29

Answer:

5(8+12)

Step-by-step explanation:

Answer:

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $0.35 and a standard deviation of $0.33.

This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].

What is the probability that a randomly selected stock will close up $0.75 or more?

This is 1 subtracted by the p-value of Z when X = 0.75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]

[tex]Z = 1.21[/tex]

[tex]Z = 1.21[/tex] has a p-value of 0.8869.

1 - 0.8869 = 0.1131

0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.

Answer:

it is C I did the before it is really easy

Answer:

7 yards

Step-by-step explanation:

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.

The answer is A which is 30. :D

Answer:

30

Step-by-step explanation:

2x + x - 10 = 80

3x - 10 = 80

3x (- 10 + 10)= 80 + 10

3x = 90

3x/3 = 90/3

x = 30

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]

Substituting given values, we get

[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]

[tex]=0.6291[/tex]

Therefore, the coefficient of determination = 0.6291

Answer:

It's C, 4/3! Just did the question and got it right

Step-by-step explanation:

The limit of f(x) as x approaches negative 1 is four thirds.

Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.

Given function is,

[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]

We have to find the value of the limit as x approaches to negative 1.

This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.

We have,

f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1

Substitute x = -1 in the above equation

x² - [tex]\frac{1}{3}[/tex] x  = (-1)² - (1 / 3) (-1)

            = 1 + [tex]\frac{1}{3}[/tex]

            =  [tex]\frac{4}{3}[/tex]

[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]

Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.

To learn more about Limits, click on the link given below :

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Answer:

34

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

Answer:

See work below.

Step-by-step explanation:

[tex](k-9)^2=(k-9)(k-9)\\=k^2-2(k)(9)+9^2\\=k^2-18k+81[/tex]

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: 0.0112%

Step-by-step explanation:

Answer:

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

Step-by-step explanation:

Eugene and Jenny are selling cookie dough for a school fundraiser. Customers can buy packages

of chocolate chip cookie dough and packages of gingerbread cookie dough. Eugene sold i

package of chocolate chip cookie dough and 10 packages of gingerbread cookie dough for a total

of $174. Jenny sold 4 packages of chocolate chip cookie dough and 2 packages of gingerbread

cookie dough for a total of $50. Find the cost each of one package of chocolate chip cookie

dough and one package of gingerbread cookie dough.

.

.

Two sides of a triangle have lengths 10 and 15.

What must be true about the length of the third side?

Greater than 5 but less than 25

Less than 15

Less than 25

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Answer: 7

Step-by-step explanation: 7+7=14

Answer:

w = 6ft 8in

Step-by-step explanation:

the proportions will be the same

w/7.5 = 12/13.5

multiply both sides by 7.5

w = 12/13.5 * 7.5

w = 6.6666666667ft

w = 6ft 8in

The original truck was 6.67 feet wide.

"It is a comparison of two or more numbers that indicates their sizes in relation to each other."

"It is an equation in which two ratios are set equal to each other."

For given example,

A model truck is 13.5 inches long 7.5 inches wide.

The ratio of length to width of a model truck would be,

13.5 : 7.5                       ...........................(1)

The original truck was 12 feet long.

This means the original truck was 144 inches long.

Let 'x' be the width (in inches) of the original truck.

So, the ratio of the length to the width of the original truck would be,

144 : x                           .................................(2)

Also, the ratios given by (1) and (2) must be in proportion.

[tex]\Rightarrow \frac{13.5}{7.5} = \frac{144}{x} \\\\\Rightarrow 13.5 \times x = 144 \times 7.5\\\\\Rightarrow \bold{x=80~inches}\\\\\Rightarrow \bold{x=6.67~feet}[/tex]

Therefore, the original truck was 6.67 feet wide.

Learn more about ratio and proportion here:

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Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.