A scale drawing of a playground is shown below.

The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, e

lord [1]

Answer:

The answer is "7.62 cm ".

Step-by-step explanation:

Given:

$Width = 6\ cm \\\\Depth = 4 \ cm\\\\Vertical \ height = 7 \ cm\\\\$

Dividing the prism's face into two halves:

As just a result, the vertical height becomes 7cm, as well as the width, becomes $\frac{6\ cm}{2} = 3 \ cm$ . If the 's' on both sides of the edge is equal:

$s^2 = width^2 + height^2\\\\$

$= \sqrt{(width^2 + height^2)}\\\\$

$= \sqrt{(3^2 + 7^2)}\\\\= \sqrt{9 + 49}\\\\= \sqrt{58}\\\\= 7.62 \ cm$

4 0

3 years ago

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic.

nexus9112 [7]

Answer:

a) b. 9

b) c. 4

c) d. 4

Step-by-step explanation:

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?a. 11 b. 9 c. 10 d. 8

The formula for degree of freedom

= n - 1

n = 10

Degrees of freedom for the sample = 10 - 1

= 9

Option b is correct.

b) With another study, where you also plan on evaluating a mean using the t statistic, you have sample of n =31 that has as SS of 120.

What is the variance for the sample?a. 10.95 b. 14,400 c. 4 d. 2.00

The formula for Variance of a samples = SS(Sum of squares) /n - 1

n = 31

Variance of samples = 120/31 - 1

= 120/30

= 4

Option c is correct

c) For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16 b. 17 c. 4.08 d. 4

The formula for standard error =

Standard deviation/√n

We are given Sample variance.

Standard deviation = √400

= 20

Hence, Standard Error = 20/√25

= 20/5

= 4

Option d is correct.

5 0

3 years ago

Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as

stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

$a=7\ cm\\c=13\ cm$

substitute

$13^{2}=7^{2}+b^{2}$

Solve for b

$169=49+b^{2}$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

we have that

<em>Jayden's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\b=13\ cm$

substitute and solve for c

$7^{2}+13^{2}=c^{2}$

$49+169=c^{2}$

$218=c^{2}$

$c=\sqrt{218}\ cm$

$c=14.76\ cm$

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

$a^{2}+b^{2}=c^{2}$

$a=7\ cm\\c=13\ cm$

substitute

$7^{2}+b^{2}=13^{2}$

Solve for b

$49+b^{2}=169$

$b^{2}=169-49$

$b^{2}=120$

$b=\sqrt{120}\ cm$

$b=10.95\ cm$

therefore

Sheridan's Work is correct

6 0

3 years ago

Read 2 more answers

Denise goes to work with her father. She notices that one man worked 31 1\ 4 hours for the week, and he was paid $9.20 per hour.

pochemuha

Answer:

$287.50

Step-by-step explanation:

31.25 x 9.20 = $287.50

5 0

3 years ago

Read 2 more answers

Pls answer this question I give brainliest thank you!

matrenka [14]

Answer:

(0-10)

Step-by-step explanation:

If she plans to use 10 intervals and the highest number in the data set is just under 100, then it makes sense to split the histogram into ten intervals of 10.

6 0

3 years ago