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Gennadij [26K]
3 years ago
10

Type the correct answer in the box. Round your answer to two decimal places.

Mathematics
2 answers:
Rasek [7]3 years ago
3 0

Answer:

13 units

Step-by-step explanation:

3^2+2^2=\sqrt{13^2} \\9+4=13

Paul [167]3 years ago
3 0

Answer:

The length of BC is 3.61 units.

Step-by-step explanation:

√13=3.60555128=3.61 (Round off to two places)

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Perpendicular given=3 units

Base given=2 units

H²=3²+2²

H²=9+4

H²=13

H=√13 units

H=3.61 units (approx)

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According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at
miskamm [114]

Answer:

The conditions for use of the normal model to represent the distribution of sample proportion are not met. He should increase the sample size until the conditions are met.

If the test is done anyway, the null hypothesis failed to be rejected.

The conclusion is taht there is not enough evidence to support the claim that the percentage is lower in this district.

Step-by-step explanation:

The conditions for use of the normal model to represent the distribution of sample proportion are not met, as the affirmative responses are less than 10.

np=80*0.1=8

If the test of hypothesis is done as if the conditiones were met, we know that the claim is that  the percentage is lower in this district.

Then, the null and alternative hypothesis are:

H_0: \pi=0.173\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=80.

The sample proportion is p=0.1.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.173*0.827}{80}}\\\\\\ \sigma_p=\sqrt{0.001788}=0.042

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.1-0.173+0.5/80}{0.042}=\dfrac{-0.067}{0.042}=-1.578

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.057) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that  the percentage is lower in this district.

7 0
3 years ago
In a school there are 600 teachers ad 1200 students
8_murik_8 [283]

Answer:

Can you please give a clearer explanation of what is your question?

Step-by-step explanation:

8 0
3 years ago
What is the supplementary angel of 60
AURORKA [14]
A line is 180°, so the supplementary angel makes up the difference between. 180 - 60 = 120°
3 0
3 years ago
Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be
Makovka662 [10]

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

Ratio = \frac{B}{A}

Ratio = \frac{4}{2}

Ratio = 2

Considering Side of A = 3 and Side of B = 5

Ratio = \frac{B}{A}

Ratio = \frac{5}{3}

Ratio = 1.67

There's no need to check further, since the two ratios calculated so far do not have the same value;

<em>Hence, one quadrilateral is not a scale of the other</em>

7 0
3 years ago
I need help with both of em
bazaltina [42]
The answer to the first one is C) 16. The second one is A) 3,072
7 0
3 years ago
Read 2 more answers
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