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2 years ago

A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm.

1 answer:

6 0

The area formula is length times width, and since the length is 17 cm in this case, 17 times width = 102, so we must divide 102 divided by 17, and you will get 6. The perimeter formula is 2 times the length plus 2 times the width, so
2(17) + 2(6), which gives us 46, so the perimiter is 46.

You might be interested in

Convert 674 cm into m

Lyrx [107]

Answer is below. Look at my explanation to understand my answer.

To convert centimetres into meters, you'll divide how many centimetres by 100.

With that being said...

674 ÷ 100 = 6.74

Hence, 6.74 is your answer.

Let me know of any questions or concerns.

7 0

2 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$

$0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}$

$n = 78.68$

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0

3 years ago

Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner

Novosadov [1.4K]

Answer:

$48.30

Step-by-step explanation:

If the dinner was $42.00 and they wanted to give a 15% tip, then to find that start by multiplying 42 by 0.15

42.00 x 0.15 = 6.3

now add $6.30 to $42.00

42 + 6.3 = 48.3

4 0

2 years ago

Read 2 more answers

-3x+6y= -3 and -5+y=-23

Ira Lisetskai [31]

-5 +y = -23

add 5 to each side

y = -18

-3x+6y = -3

-3x + 6(-18) = -3

-3x -108 = -3

add108 to each side

-3x = 105

divide by -3

x = -35

x=-35

y= -18

5 0

2 years ago

Read 2 more answers

What is 2 2/5×2 7/9 in simplest mixed number form?

Scorpion4ik [409]

Answer:

6 2/3

Step-by-step explanation:

2 2/5 * 2 7/9

Change each number to an improper fraction

2 2/5 = (5*2+2)/5 = 12/5

2 7/9 = (9*2+7) = 25/9

12/5 * 25/9

Rewriting

25/5 * 12/9

5/1 * 4/3

20/3

Now changing to a mixed number

3 goes into 20 6 times with 2 left over

6 2/3

7 0

3 years ago