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2 years ago

The ratio of the length to width of a rectangle is 3:4 the perimeter is 56 in, find the length and the width

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

Answer: Length is 12in and width is 16in

Let's use the ratio method!

3+3+4+4 is 14

Let's think the length as," L " and the width as," W "

L / 56 = 3/14

L = 3/14 * 56

L = 12

And for width:

W / 56 = 4/14

W =4/14 * 56

W = 16

There you go! We did it!

Now make sure to click the Brainliest button if I gave the correct answer

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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to

NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0

3 years ago

Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the

Natalija [7]

Answer:

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Step-by-step explanation:

Given:

Total height of the bench = 18 in

Depth of the stone bench = $3\frac{\textup{3}}{\textup{8}}\ in$ = $\frac{\textup{27}}{\textup{8}}\ in$ = 3.375 in

Measure of stones = $3\frac{\textup{1}}{\textup{2}}\ in$ = $\frac{\textup{7}}{\textup{2}}\ in$ = 3.5 in

measure of another stone = $5\frac{\textup{1}}{\textup{4}}\ in$ = $\frac{\textup{21}}{\textup{4}}\ in$ = 5.25 in

let the height of the third stone be 'x'

Now,

The total height of the bench = depth of bench + Measure of two stones + x

18 = 3.375 + 3.5 + 5.25 + x

x = 18 - 12.125

x = 5.875 in

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

6 0

2 years ago

Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Whi

love history [14]

Answer:

The answer is 75% and 75/100

8 0

3 years ago

Graph the equation by plotting three

tangare [24]

Graph the equation in a graphing calculator or in the table in a regular calculator and look for the zero on the x axis and the y axis

8 0

3 years ago

Divide a24 - a18 + a12 by a6.

AnnZ [28]

24a-18a+12a is equal to 18a
hence, divide it by 6a
so you get 3a :)

3 0

2 years ago