The One-to-One Property of natural logarithms states that if ln x = ln y, then ____

What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns

Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

$A=\frac{1}{2}(9)(6)=27\ in^2$

step 2

Determine the area of the square

$A=(3^2)=9\ in^2$

step 3

Determine the probability

$P=\frac{9}{27}$

simplify

$P=\frac{1}{3}$

therefore

One-third

5 0

2 years ago

Given: 3AB = 7AD and 3AC = 7AE Prove: ΔABC ~ ΔADE Triangles A B C and A E D are connected at point A. Complete the steps of the

Effectus [21]

Want me to still send the answer or later?

4 0

2 years ago

Read 2 more answers

Royce has $15 with him and spends $12 to buy his favorite comics. He has $3 left, which he deposits in the bank. Which number wi

Damm [24]

The value 3 will be entered. It's a positive value to indicate he is not in debt of any kind.

7 0

2 years ago

How is quadrilateral ABCD related to quadrilateral A'B'C'D' shown below?

coldgirl [10]

What you put is correct. A’B’C’D’ is what would be shown if you rotate ABCD 90 degrees clockwise

4 0

2 years ago

A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she survey

zysi [14]

Answer:

$z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

$\hat p=0.30$ estimated proportion of people who thought the economy is getting worse

$p_o=0.32$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

8 0

2 years ago

The One-to-One Property of natural logarithms states that if ln x = ln y, then _____