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3 years ago

What is the solution for -3(p+7)=4-6 (p+3)

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

You would need to distribute the 3 on the left side and the -6 on the right side. p=7/3

serg [7]3 years ago

4 0

Answer:

You need to get rid of the parenthesis first and the work out to isolate p.

Step-by-step explanation:

You will first need to apply distributive to get rid of parethensis.

-3p -21 = 4 -6p -18

Now you need to bring all the p's to one side of the equation

-3p +6p = 4 -18 +21

add everything you can up

3p = 7

now take the 3 to the other side dividing

p = 7/3

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve the system of equations using the substitution method.

Katena32 [7]

4x+5y=7
y=3x+9

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3 years ago

A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti

jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence interval: (0.438, 0.642).

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$\pi = \frac{0.438 + 0.642}{2} = 0.54$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}$