All categories

3 years ago

Solve the equation: -6p + 14 and 3p - 2

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

p = 16/9

Step-by-step explanation:

$-6p+14=3p-2\qquad\text{subtract 14 from both sides}\\\\-6p=3p-16\qquad\text{subtract 3p from both sides}\\\\-9p=-16\qquad\text{divide both sides by (-9)}\\\\\boxed{p=\dfrac{16}{9}\to p=1\dfrac{7}{9}}$

You might be interested in

Plz this for ten points

lesya692 [45]

Answer:

Bran to blueberry ---- 4:1

banana nut to bran ---- 1 to 2

total to corn ---- 12 muffins to 5 muffins

bran to total ---- 1/3

Step-by-step explanation:

4 0

3 years ago

Find A U B. please help much needed!

kvasek [131]

Answer:

A u B = {3,5,6,7,8,11,12}

Step-by-step explanation:

A = {3,6,7,11}

B = {3,5,7,8,12}

A u B = {3,5,6,7,8,11,12}

6 0

4 years ago

What is 5 + 5 + 5 + 5 equals 550

lora16 [44]

5 + 5 + 5 + 5 equals 550 lgjf8654

5 0

3 years ago

Read 2 more answers

Sample size: A researcher is trying to decide how many people to survey. Which of the following sample sizes will result in a co

oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given that a researcher is trying to decide how many people to survey.

We have confidence intervals are intervals with middle value as the mean and on either side margin of error.

Confidence interval = Mean ± Margin of error

Thus confidence interval width depends on margin of error.

Margin of error = $Critical value *\frac{\sigma}{\sqrt{n} }$

Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.

Hence for small n we get wide intervals.

So if sample size = 300, the researcher will get wider confidence interval

4 0

4 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.