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3 years ago

What happens when the a value gets smaller

Mathematics

1 answer:

EastWind [94]3 years ago

8 0

Answer:

When the value of a slope of a line gets smaller, the line on a graph gets flatter.

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Determine which expression has a greater value -12+6-4 or -34 -3+39

patriot [66]

By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.

-12+6=-6-4=-10

-34-3=-37+39=2

So, -34-3+39 is greater.

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3 years ago

Which names are other ways to name ∠1?

Drupady [299]

A), e), and g) are the correct answers

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3 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 - α) % 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 z-table for the critical value.

Compute the value of n 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 z-table for the critical value.

Compute the value of n 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 z-table for the critical value.

Compute the value of n 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.

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3 years ago

The measure of arc QS is (4x – 18)°.

Zigmanuir [339]

Answer: 49.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A line y=mx+b passes through point (−6, 4) and is perpendicular to y=−12x+10. What is the value of b?

Mademuasel [1]

Answer:34.5

Step-by-step explanation:trust me

7 0

3 years ago

What happens when the a value gets smaller​

What happens when the a value gets smaller