PLZZ HELP AND PLZZ HURRY

Mathematics

1 answer:

kap26 [50]2 years ago

3 0

Answer: The correct answer is Choice B.

In the diagram, we can see that we have two pairs of sides that are proportional.

10/15 = 20/30

One of the ways to prove triangles similar is with the SAS similarity theorem. Therefore, all we are missing is the included angle. Knowing that angle I is congruent to angle F would be enough to prove the triangles are similar.

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In measuring reaction time, a psychologist estimates that a standard deviation is .05 seconds. How large a sample of measurement

blondinia [14]

Answer:

Step-by-step explanation:

We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.

We will use following formula to solve our given problem.

$n\geq (\frac{z_{\alpha/2}\cdot\sigma}{E})^2$ , where,

$\sigma=\text{Standard deviation}=0.05$ ,

$\alpha=\text{Significance level}=1-0.95=0.05$ ,

$z_{\alpha/2}=\text{Critical value}=z_{0.025}=1.96$ .

$E=\text{Margin of error}$

$n=\text{Sample size}$

Substitute given values:

$n\geq (\frac{z_{0.025}\cdot\sigma}{E})^2$

$n\geq (\frac{1.96\cdot0.05}{0.01})^2$

$n\geq (\frac{0.098}{0.01})^2$

$n\geq (9.8)^2$

$n\geq 96.04$

Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.

5 0

2 years ago

The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?

Marizza181 [45]

<u>Given</u>:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

<u>Constant of proportionality:</u>

The constant of proportionality can be determined using the formula,

$\frac{y}{x}=k$