50 points! Please help random answers will be reported. I hope mhanifa helps me

Answer:

0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The heights of adults in a certain town have a mean of 65.42 inches with a standard deviation of 2.32 inches.

This means that [tex]\mu = 65.42, \sigma = 2.32[/tex]

Sample of 144:

This means that [tex]n = 144, s = \frac{2.32}{\sqrt{144}} = 0.1933[/tex]

Find the probability that a sample of this size would have a mean of 64.82 inches or less.

This is the pvalue of Z when X = 64.82. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{64.82 - 65.42}{0.1933}[/tex]

[tex]Z = -3.1[/tex]

[tex]Z = -3.1[/tex] has a pvalue of 0.001

0.001 = 0.1% probability that a sample of this size would have a mean of 64.82 inches or less.

Answer:

65 ft

Step-by-step explanation:

You can find the length of the hypotenuse using the formula a^2+b^2=c^2 where c is the hypotenuse and the other two sides are a and b.

16^2=256

63^2=3969

256+3969=4225

4225=c^2

Get c by itself by taking the square root of both sides.

This leaves you with c=65

Answer:

2 x  + 12

Step-by-step explanation:

Answer:

2x+12

Step-by-step explanation:

Multiply 2 by 10, and multiply 2 by x and -4 since x and -4 are in the parenthesis you just have to multiply them both by 2 separately.

2(10) + 2(x – 4)

20+2x-8

Subtract 20 by 8

2x+20-8

Finally, you have your answer!

2x+12

Answer:

The answer is  C)140

Answer:

527.52 cm²

Step-by-step explanation:

Area of the shaded region = area of the outer circle - area of the inner circle

Area of circle is given as πr²

Radius of inner circle = 11 cm

Area of outer circle = 17 cm

π = 3.14

Thus:

Area of shaded region = 3.14*17² - 3.14*11²

= 907.46 - 379.94

= 527.52 cm²

Answer:

$1.35

Step-by-step explanation:

$0.09/5 = $0.018

75 x $0.018 = $1.35

can i be brainiest...

Answer:

2.5 mph

Step-by-step explanation:

Peter walks 2.5 miles per hour

If he walks 15 miles in 6 hours then divide 15 by 6

15 divided by 6 is 2.5 so every hour peter walks 2.5 miles or 2 1/2

Answer:

=x?15

Step-by-step explanation:

Answer:

hhhhh

Step-by-step explanation:

Answer:

3. multiply the numerator and denominator of the fraction by 2

Step-by-step explanation:

Multiplying the numerator and denominator by 2 is like multiplying the fraction by 2/2. 2/2 is one so it doesn't change the value.

Answer:

❌Divide the numerator and denominator of the fraction by 2.

❌Subtract 40 from the numerator and denominator of the fraction.

✔️Multiply the numerator and the denominator of the fraction by 2.

❌Add 50 to the numerator and denominator of the fraction.

Answer:

9 bags.

Step-by-step explanation:

If you find the area of the garden ( 15 times 12) and divide the area by 20 (the size of one bag) you get 9 bags.

Answer:Kevin will need 9 bags

Step-by-step explanation:

15 x 12

=180

180 by 20

= 9

Answer:

with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.

so 15 Large pizzas or 30 10 in pizzas

Step-by-step explanation:

Answer:

x² - 1 = 8

Step-by-step explanation:

Given the following algebraic expression;

x² - 1

When x = -3

Substituting the value of x, we have;

x² - 1 = (-3)² - 1

x² - 1 = 9 - 1

x² - 1 = 8

Method II.

x² - 1 = (x - 1)(x + 1)

Substituting the value of x, we have;

x² - 1 = (-3 - 1)(-3+ 1)

x² - 1 = -4(-2)

x² - 1 = 8

Answer:

2(2x+6) is the same problem in a different format.

Step-by-step explanation:

Distribute the 2 to each place which gives you 4x+12

Answere : 4 times (x + 3)

Answer:

D. Systematic sampling

Step-by-step explanation:

Answer:

i just want my points.....

Step-by-step explanation:

Answer:

55.

Step-by-step explanation:

121 is what percent of 220? = 55.

Answer:

y = [tex]\frac{2}{3}x[/tex] + 6

Step-by-step explanation:

Answer:

alternate exterior angle is answer

Answer:

Angle 2 and angle 8 are alternative exterior angles

Answer:

The estimate of the percentage of millionaires in each of these cities:

                          Bridgeport      San Jose    Washington    Lexington Park

                                CT                 CA               D.C.                MD

Percentage of

Millionaires             9%                 12%              9%                 8.3%

Step-by-step explanation:

Data and Calculations:                            City

                            Bridgeport,     San Jose,   Washington,   Lexington Park,

Millionaire                   CT                 CA              D.C.                 MD

Yes                             45                  36               36                    33

No                              455               264             364                 367

Sample                      500               300             400                 400

Percentage of

 Millionaires            45/500         36/300         36/400           33/400

=                               0.09               0.12             0.09            0.0825

=                                 9%                 12%              9%               8.3%

Using the percentage concept, it is found that the estimate of the percentage of millionaires in these cities is of 9.25%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching the problem on the internet, it is found that:

Then:

[tex]P = \frac{148}{1600} \times 100\% = 9.25\%[/tex]

The estimate of the percentage of millionaires in these cities is of 9.25%.

More can be learned about the percentage concept at https://brainly.com/question/10491646

The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.

Given that,

The graph of r = -3 + 5cosθ is symmetric about what?

When we plot the graph we can say that it is symmetric about x axis only.

Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only

Learn more about Symmetry click;

brainly.com/question/16180199

#SPJ3

Answer:

No solution

y= -3x +4

y= -3x +8

Answer:

It would be (0,-3) ^^you can see on the graph

Answer:

C.8/1125 is the answer......

Answer:

AB

Step-by-step explanation:

Using FOIL (first outer inner last) u can determine that the final term will be produced by multiplying the last terms in each bracket. These are A and B, so the final term of the resulting trinomial is AB.

You can check this by fully expanding (x + A)(x + B):

[tex](x + A)(x + B)\\= x^{2} + Bx + Ax + AB[/tex]

the terms B and A are usually numbers, so Bx and Ax tend to get added together to form a middle term. hope this helps!

Answer:

I have #1, answer is 400

Step-by-step explanation:

80% of 500 is 400

Answer:

First one is 400

Step-by-step explanation:

Answer: 22% decrease

Step-by-step explanation:

Old price - sale price = 115 - 90 = 25

25/115 x 100 = 21.7% rounded to 22%

104.00

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Answer:

12 ways

Step-by-step explanation: