All categories

3 years ago

A 9-foot piece of wood is cut into shelves. If each is 3/7 foot in length, how many shelves are there?

Mathematics

1 answer:

Aloiza [94]3 years ago

6 0

Hello!

To find how much shelves we cut, we need to divide 9 feet by 3/7 feet. When dividing by fractions, it is like multiplying its reciprocal.

This means that the reciprocal of 3/7 is 7/3.

$9 / \frac{3}{7} = \frac{9}{1} * \frac{7}{3} = \frac{63}{3} = 21$

Therefore, if each shelf is 3/7 feet in length, then there are 21 shelves.

You might be interested in

A woman bought a number of items for $24. She realized that if she had bought 4 more items for

Roman55 [17]

Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:

X = 24

X + 4 = 24

24/2 = 12

24/6 = 4

12 - 4 = 8

Therefore, the woman bought 2 items.

3 0

3 years ago

How much does 18cm are in mm

77julia77 [94]

Answer:
18 cm = 180 mm
Explanation:
18 cm • 10 cm (in one mm) = 180 mm

6 0

3 years ago

10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

A store finds that the number of shirts sold increases each week. In the first week, only 15 shirts were sold. In the next week,

Pepsi [2]

The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.

15, 22, 29,...

The first term a = 15

The common difference d = 22 - 15 = 7

a(n) = 15 + (n - 1)7

a(n) = 7n + 8

Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

6 0

2 years ago

What is the change in temperature from -8°F to 14°F?

gizmo_the_mogwai [7]

Answer:

22 degrees, 1. 2 degrees, 2. 14 degrees, 3. 14 degrees, 4.30 degrees

Step-by-step explanation:

6 0

3 years ago