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3 years ago

Is this a good math essay?

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

Answer:

I'm just going to assume that your answer is correct since you didn't attach the question. If you are submitting this to your teacher then you are going to want to have correct spelling and grammar. The slang usage isn't professional, but if your teacher is fine with it then you should only worry about spelling. Hope this helped you!!

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Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

3 years ago

Heyyyyy! Need Help with this! I will give brainliest to correct answer!! <3

Alex787 [66]

Answer:

The answer is 1/8 pints left

Step-by-step explanation:

If you had 3/4 pints already and you poured 5/8 pints into your glass, you would only have 1/8 pints left. First you need to make them both have the same denominator (8) to do that you need to multiply 3/4(2)=6/8. 6/8-5/8=1/8 pints left.

5 0

3 years ago

Find the area of a regular octagon with

vodka [1.7K]

Answer:

Step-by-step explanation:

Area=2(1+ $\sqrt{2}$ )8²

=309.0(round to nearest tenth)

5 0

3 years ago

Find the sum and express it in simplest form. (3a^2 + 2a) + (5a^-a -7)

fredd [130]

Answer:

8a^2+a-7

Step-by-step explanation:

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3 years ago

2 Which expression is equivalent to 64-*?

Rasek [7]

Answer:

Step-by-step explanation:

(8-x)(8+x)

8×8=64

-x·+x=-x^2

64-x^2

3 0

3 years ago