Which algerbraic expression is not equivalent to 13x + 10

1 answer:

5 0

There are no common factors between the two terms
13
x
and
10
- see explanation below.
Explanation:
First, we can try factoring the constants in each term:
13 is a prime number and therefore can only be factored to 1 and 13.
10 can be factored as (1 x 10) or (2 x 5).
Because there are no common factors other than
1
the constants cannot be factored.
And, because there is no
x
in the second term (10), we cannot factor an
x
out of the two terms.
Therefore this expression cannot be factored.

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in a survey of 7000 women 4431 say they change their nail polish once a week.Construct a 95% confidence interval for the populat

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Answer:

The 95% confidence interval would be given (0.622;0.644).

We are confident (95%) that the true proportion of people that said that they change their nail polish once a week is between 0.622 and 0.644

Step-by-step explanation:

Data given and notation

n=7000 represent the random sample taken

X=4431 represent the people that said that they change their nail polish once a week

$\hat p=\frac{4431}{7000}=0.633$ estimated proportion of people that said that they change their nail polish once a week

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that said that they change their nail polish once a week

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.