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3 years ago

5

Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of p

ens ordered to boxes of pencils ordered?

1 answer:

Bad White [126]3 years ago

4 0

The ratio of pens to pencils is 8 : 5.

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The sum of two numbers is 51 and the difference is 11. what are the numbers?

stiv31 [10]

(51 - 11) : 2 = 20

20 + 11 = 31

20 and 31

6 0

3 years ago

What’s the equation for this table? Use y=mx+b. HELP

Verdich [7]

Answer:

y = 2x + 12

Step-by-step explanation:

You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.

y2-y1/x2-x1

16-14/2-1 = 2/1 = 2. So our slope equals 2.

If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.

14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.

3 0

3 years ago

.Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session ti

Ugo [173]

Answer:

6/15 divided by 6

Step-by-step explanation:

$\frac{2}{5} / 6\\= \frac{6}{15} / 6\\$

4 0

2 years ago

How many times must we toss a coin to ensure that a 0.95-confidence interval for the probability of heads on a single toss has l

musickatia [10]

Answer:

(1) 97

(2) 385

(3) 9604

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error in this interval is:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The formula to compute the sample size is:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}$

(1)

Given:

$\hat p = 0.50\\MOE=0.1\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.1^{2}}\\=96.04\\\approx97$

Thus, the minimum sample size required is 97.

(2)

Given:

$\hat p = 0.50\\MOE=0.05\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.05^{2}}\\=384.16\\\approx385$

Thus, the minimum sample size required is 385.

(3)

Given:

$\hat p = 0.50\\MOE=0.01\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.01^{2}}\\=9604$

Thus, the minimum sample size required is 9604.

8 0

2 years ago

A quadrilateral has no pairs of parallel sides.what two shapes could be it

Basile [38]

Answer:

All trapezoids are quadrilaterals.

Step-by-step explanation:

Incorrect. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

8 0

3 years ago

Read 2 more answers