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3 years ago

Help me I need help ASAP will Give BRAINLIEST

Mathematics

1 answer:

makvit [3.9K]3 years ago

5 0

Answer:

real numbers: all

rational: all but pi

Integers: 20,-9

Whole, 20,-9, radical 16

Natural: 20

Irrational: pi

Step-by-step explanation:

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According to Nielsen Media Research. of all the U.S. households that owned at least one television set, 83% had two or more sets

Rudik [331]

Answer:

The proportion of U.S. households that owned two or more televisions is 83%.

Step-by-step explanation:

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

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

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

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3 years ago

Amy has 1/4 hour to do 5 chores. She plans to spend the same fraction of an hour on each chore. She wants to use the number line

Kazeer [188]

I think it would take her 1/20 of an hour to do each chore and i dont know what point a is .

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4 years ago

State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0

Vadim26 [7]

Answer:

addittional property

Step-by-step explanation:

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3 years ago

2х - Зу = 32 x + 4у = -20 solve the system of equations

ANTONII [103]

Answer: x=68/11 and y=-72/11

Steps:

2(x+4y=-20)

2x+8y=-40

2x - 3y = 32
- 2x + 8y = -40

-11y=72

y=-72/11

x + 4(-72/11) = -20

x - 288/11 = -20

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5 0

3 years ago

Since 1980 the average height of 20-year-old females has increased by 2.3 cm, to 170.6 cm. What was the average height of a 20-y

marusya05 [52]

Answer:

168.3 cm

Step-by-step explanation:

It was 2.3 cm less than 170.6 cm, so we use subtraction.

170.6 cm - 2.3 cm = 168.3 cm

3 0

3 years ago