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2 years ago

-4(2p + 5) + 8p = -11

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

6 0

Answer:

There are no values of P to make it true

Step-by-step explanation:

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The fastest speed a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming. What is the

Marrrta [24]

Given there is no speed given for the fastest swimming, the tennis ball is 13.07 times f(Fastest Swimming), or 13.07f.

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2 years ago

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wants the perimeter of his rectangular garden to be, at most, 60 feet. He plans on making the length 19 feet. what is the maximu

Elina [12.6K]

Answer:

width = 11 feet

Step-by-step explanation:

The perimeter of a rectangle is 2 times length + width.

He already decided that the perimeter is at most 60 feet and the length is 19 feet. Then replacing in the formula for perimeter you have:

60 = 2 ( 19 + width)

30 = 19 + width

11 = width

Therefore the maximum width is 11 feet

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3 years ago

Of the 36 students in the book club .five ninths Of the students prefer adventure books to historical books. How many of the stu

Effectus [21]

You have to make a tape diagram and divide it in to 9 parts because it is 5 out of 9 then you will make a bracket pointing to only 4 parts of the tape diagram then you do 36/9 and it will equal 4 so put 4 in to each part and so 4 x 4 is 16 so the answer is 16 people prefer historical books

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3 years ago

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One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

What is the probability of rolling a 3 on two consecutive rolls of a fair 6-sided die?

Ad libitum [116K]

Answer:

$\frac{1}{36}$ chance

Step-by-step explanation:

Each time you roll a die, you have a $\frac{1}{6}$ chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are $\frac{1}{6}$ .

$\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}$

Hope this helped!

4 0

3 years ago