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Advocard [28]
3 years ago
12

Determine the distance between -7 and 7

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0
Answer= 14

Distance between-7 and 0 is 7 plus the distance between 7and 0 which is also 7 Gives is the total distance of 14
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Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85
Lubov Fominskaja [6]

Answer:

The p value for this test is given p_v = 0.1071

Since the p value is higher than the significance level given of \alpha=0.05 we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

Step-by-step explanation:

We define the proportion of interest as p who represent the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workers

And we want to anaylze the following system of hypothesis:

Null hypothesis: p \leq 0.85

Alternative hypothesis: p >0.85

And the statistic for this test is given by:

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

The p value can be calculated with this formula:

p_v = P(z>z_{calc})

And the p value for this test is given p_v = 0.1071

Since the p value is higher than the significance level given of \alpha=0.05 we have enough evidence to FAIL to reject the null hypothesis. And we can say that the true proportion of firms in the manufacturing sector still do not offer any child-care benefits to their workersis is not significantly higher than 0.85 or 85% at 5% of significance.

4 0
3 years ago
Which of the following correctly describes the quotient of a nonzero rational number and an irrational number?
Aleonysh [2.5K]
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8<span> is a rational number because it can be written as the fraction </span>8/1. <span>In mathematics, a </span>rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a </span>rational number. ... A real number<span> that is not </span>rational<span> is called irrational.</span>
6 0
3 years ago
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
Ganezh [65]

Given:

Principal = $14850

Rate of interest = 4% compounded semiannually.

Time = 3 years

To find:

The amount after 3 years.

Solution:

Formula for amount is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.

The interest is compounded semiannually, so n=2.

Putting P=14850, r=4, n=2, t=3 in the above formula, we get

A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}

A=14850\left(1+0.02\right)^{6}

A=14850\left(1.02\right)^{6}

On further simplification, we get

A=14850(1.12616242)

A=16723.511937

A\approx 16723.51

Therefore, the amount in the account after three years is $16723.51.

6 0
3 years ago
A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha
Genrish500 [490]

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

H_o : p = 10

The alternative hypothesis is:

H_1 : p > 10

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

8 0
3 years ago
First person to type supercalifragilisticexpialidocious
brilliants [131]
Supercalifragilosticexpialidocious

good expilnation
5 0
3 years ago
Read 2 more answers
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