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andreyandreev [35.5K]
3 years ago
11

I need help thank you

Mathematics
2 answers:
kogti [31]3 years ago
4 0

1 9 , 2 114 I Hope it help this is correct

Luden [163]3 years ago
4 0

Answer:

351

Step-by-step explanation:

\frac{1}{3} p - 3 = 114 ( multiply through by 3 to clear the fraction )

p - 9 = 342 ( add 9 to both sides )

p = 351

There are 351 pages in the novel

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The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50
Natali5045456 [20]

Answer:

(a) See Explanation

(b) \bar x =50 and \sigma_x = 0.8944

(c) The shape is normal

(d) P(\bar x > 55) = 0

Step-by-step explanation:

Given

\mu = \$50 -- mean

\sigma = \$20 --- standard deviation

n=500 --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

\bar x =\mu

\bar x =50

The sample standard deviation is calculated as thus:

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{20}{\sqrt{500}}

\sigma_x = \frac{20}{22.36}

\sigma_x = 0.8944

Solving (c): The shape of the distribution.

We have:

n = 500 --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

<em>Hence, the shape is normal</em>

Solving (d): P(\bar x \ge 55)

Calculate the test statistic (t)

t = \frac{\bar x - \mu}{\sigma}

t = \frac{55 - 50}{0.8945}

t = \frac{5}{0.8945}

t = 5.590

So:

P(\bar x > 55) = P(t > 5.590)

Referencing the z table, we have:

P(t > 5.590) = 0

Hence:

P(\bar x > 55) = 0

5 0
3 years ago
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is th
cricket20 [7]

Answer: 11

Students have both a brother and a sister

Step-by-step explanation:

I don't think probability should be used for this question because the answer is quite clear

So in a class of 25 students

5 students don't have a sibling

So 25-5=20

Total number of siblings=14+17=31 siblings in total

So 20 people have 31 siblings

31-20=11

So the answer should be 11

5 0
2 years ago
Read 2 more answers
Grade low in math help if you can :) Geometry
mestny [16]

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

5 0
3 years ago
What is the exact value of sinF?
Delicious77 [7]

Answer:

Option 2

Step-by-step explanation:

To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!

4 0
3 years ago
What is the mean of this data set? If necessy, round your answer to the nearest tenth. 12,16,22,23,34,44,46,47,48,64,67,73,83,88
Dmitry_Shevchenko [17]
The mean for the data set is 50.4

Rounded to the nearest 10th is 50
8 0
3 years ago
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