1.64 points as a mix number in simplest form

Include step by step directions MAKE SURE ITS CORRECT

Yuliya22 [10]

Answer:56

Step-by-step explanation:do 180-68, then divide by 2(because the x angles are equal to each other.

7 0

3 years ago

Solve for x.

kumpel [21]

Divide by 1.8
x = around 35.56

6 0

3 years ago

Read 2 more answers

A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10%

Kisachek [45]

Answer:

Null and alternative hypothesis

$H_0: \pi \geq0.25\\\\H_1: \pi$

Test statistic $z=-26.82$

P-value $P=0$

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

$H_0: \pi \geq0.25\\\\H_1: \pi$

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056$

The test statistic is calculated as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056} =-26.82$

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0

3 years ago

Add a meeting six people each one another by shaking hands. If each person must shake hands once with every other person in the

Phantasy [73]

The number of handshakes is the number of ways 6 objects can be selected 2 at a time.

.. C(6,2) = 6·5/(2·1) = 15

The appropriate choice is

... C) 15

_____

Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.

8 0

3 years ago

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

Coefficient Standard Error

Intercept 25675.5 11393

x 5321 2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0