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vlabodo [156]
3 years ago
8

How are rational numbers created

Mathematics
2 answers:
madreJ [45]3 years ago
5 0
Rational numbers are created by dividing two integers. Learn about the definition of rational numbers and explore several examples.

Hope this helps you have a good day/Night..
Y_Kistochka [10]3 years ago
3 0

Answer:

A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)

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Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

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

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
What is the mean of 72, 65, 76, 34, 98, 76, 64, 54, and 64.
SOVA2 [1]

Answer:

67

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

7 0
3 years ago
Read 2 more answers
Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%,
lukranit [14]

Answer:

a) Simple interest paid = $360

b) Total repayment amount = $6360

Step-by-step explanation:

It is given that:

Principal, P = $6000

Rate of interest, R = 2%

Time, T = 3 years

<em>(a) Total interest paid</em>:

<u>Formula</u> for Simple Interest is given as:

S.I. = \dfrac{P \times R \times T}{100}

Putting the values of P, R and T to find out Simple Interest:\\\Rightarrow S.I. = \dfrac{6000 \times 2 \times 3}{100}\\\Rightarrow S.I. = \$360

<em>(b) Total repayment amount</em>:

We know that formula for total amount is given as:

<em>Amount = Principal + Simple Interest</em>

Amount = 6000 + 360 = $6360

So, total repayment amount = $6360

So, the answers are:

a) Simple interest paid = $360

b) Total repayment amount = $6360

3 0
3 years ago
Find the product of 0.34 and 0.02
dmitriy555 [2]

Answer:

<h2>The product is 0.68</h2>

Step-by-step explanation:

A product means we are multiplying. we are multiplying 0.34 and 0.02 which is 0.68

6 0
3 years ago
Read 2 more answers
1/4 + 1/2 +x=−3/4
masya89 [10]
Work from the left to right.
add 1/4 and 1/2 which would give you 3/4
then subtract 3/4 from both sides of the equal sign witch would give you
x=-3/2
5 0
3 years ago
Read 2 more answers
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