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Mathematics

2 answers:

Sauron [17]2 years ago

7 0

Answer:

118.75

Step-by-step explanation:

hope it helps

...

IRINA_888 [86]2 years ago

3 0

Answer:

118.75

Step-by-step explanation:

47.50 multiplied by 2.5 would equal 118.75

ur welcome :)

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Write 15 + 45 as a product of two factors using the gcf and the distributive property.

Alja [10]

Answer:

15 (3+1)

Step-by-step explanation:

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5 0

2 years ago

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An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects maximum height if the equati

Free_Kalibri [48]

Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square

h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144

vertex is (2,144)
at t=2, the height is 144

max height is 144ft

4 0

2 years ago

Please help! I don't understand how to solve this problem

Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

$S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.