All categories

3 years ago

Name the postulate or theorem you can use to prove the triangles congruent.

Mathematics

1 answer:

Burka [1]3 years ago

8 0

Two triangles are right triangles since they both have a right angle.

hypotenuse and leg are given (congruent)

by the hypotenuse leg theorem which states that two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent.

You might be interested in

The six nutrients found in food

77julia77 [94]

carbohydrates, protein, fat, vitamins, minerals, water

4 0

3 years ago

Read 2 more answers

3x+y=-8 x+6y=3 Elimination Method

diamong [38]

Answer is (-3,1) x=-3 y=1

6 0

4 years ago

Read 2 more answers

Greg's soccer team is selling sets of 3 raffle tickets for $5.00. What is the constant of proportionality of dollars per ticket?

vodka [1.7K]

The constant is 5. :)

6 0

3 years ago

Read 2 more answers

A random sample of the correct choice on 400 multiple-choice questions on a variety of AP exams1 shows that B was the most commo

maks197457 [2]

Answer:

a) Null hypothesis: $p\leq 0.2$

Alternative hypothesis: $p > 0.2$

b) $z=\frac{0.225 -0.2}{\sqrt{\frac{0.2(1-0.2)}{400}}}=1.25$

$p_v =P(Z>1.25)=0.106$

Step-by-step explanation:

1) Data given and notation

n=400 represent the random sample taken

X=90 represent the number of questions with B as the correct answer

$\hat p=\frac{90}{400}=0.225$ estimated proportion of arrests that were not prosecuted

$p_o=0.2$ is the value that we want to test, since we assume that each question present 5 options and just one is correct, 1/5 =0.2 if all five options were equally likely

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.2.:

Null hypothesis: $p\leq 0.2$

Alternative hypothesis: $p > 0.2$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.225 -0.2}{\sqrt{\frac{0.2(1-0.2)}{400}}}=1.25$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(Z>1.25)=0.106$

If we compare the p value obtained and the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 5% of significance the proportion of B correct answers is not significantly higher than 0.2.

8 0

4 years ago

What advantage does this 401k have over other types of investments?

Marina86 [1]

Example needed please

8 0

4 years ago

﻿﻿Name the postulate or theorem you can use to prove the triangles congruent.

Name the postulate or theorem you can use to prove the triangles congruent.