The following histogram shows the number of minutes that 29 students took to complete an exam.

The area of the base of a square notepad is 2.25 square inches. What is the length of one side of the base of the notepad?

scoundrel [369]

Answer:

1.5 inches

Step-by-step explanation:

Because the base of the notepad is a square, that means that each side of the base would be equal. Since the area is 2.25 square inches, and each side would have to be equal, the equation to solve would be x*x = 2.25, or x^2=2.25. So, you just take the square root of both sides, and x=1.5 inches. Each side of the notepad would be 1.5 inches.

4 0

3 years ago

(2^3)^7 (2^-9)^2 how do i put that in exponential form

jok3333 [9.3K]

Answer:

2³ = 8

Step-by-step explanation:

According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:

$(2^{3})^{7}*(2^{-9})^{2}=2^{21}*2^{-18}=2^{21+-18}=2^{3}$

7 0

3 years ago

The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ

dangina [55]

Answer:

$6\pi$ in

Step-by-step explanation:

The formula to find the area of a circle: $\pi r^{2}$ , where $r$ is the radius.

The formula to find the circumference (perimeter) of a circle: $2\pi r$ , where $r$ is the radius.

1) To find the circumference of the circle, we need to find the radius ( $r$ ) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.

$9\pi =\pi r^2$

Cancel the $\pi$ by bringing it to the other side.

$9 =\pi r^2$ ÷ $\pi$

$9 = r^2\\\sqrt{9} = r\\3 = r$

2) Find the circumference of the circle by using the formula, $2\pi r$ .

= $2*\pi *3$

= $6\pi$ in

3 0

2 years ago

The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16

dusya [7]

Answer:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

$n_1 = 16$ represent the sampe size 1

$n_2 =16$ represent the sample 2

$s^2_1 = 2.5$ represent the sample deviation for 1

$s^2_2 = 5.5$ represent the sample variance for 2

$\alpha=0.10$ represent the significance level provided

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}$

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: $\sigma^2_1 = \sigma^2_2$

H1: $\sigma^2_1 \neq \sigma^2_2$

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0

3 years ago

S=hp+2b solve for h i forgot the word to decribe how i forgot to do tis

irga5000 [103]

To solve for h, you need to isolate/get h by itself in the equation:

s = hp + 2b Subtract 2b on both sides

s - 2b = hp + 2b - 2b

s - 2b = hp Divide p on both sides to get h by itself

$\frac{s-2b}{p} =\frac{hp}{p}$

$\frac{s-2b}{p} =h$

5 0

3 years ago