Please help, super confused!

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.

Mean $39725 and standard deviation $7320.

This means that [tex]\mu = 39725, \sigma = 7320[/tex]

Sample of 125:

This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}} = 654.72[/tex]

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{39000 - 39725}{654.72}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Answer:

?

Step-by-step explanation:

Answer:

A. Five more than the product of 8 and 3, minus 2

Step-by-step explanation:

A is the correct answer because it correctly displays "5 + 8 x 3 - 2"

Hope this helps. :D

-Luna

Answer:

arc ? = 255°

Step-by-step explanation:

arc DB = 180° - 75° = 105°

arc ? = 360° - 105° = 255°

Answer:

P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:

Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.

Answer:

45.16%

Step-by-step explanation:

31 students is 100%

so, 14x100/31=45.16

Answer:

Rule : x subtracted by 12 = y , first ? = 6 (6,-6) , second ? = -22 (-10,-22)

Answer:

15.6

Step-by-step explanation:

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

Answer:

the answer would be false

Answer:

c. 480 miles.

Step-by-step explanation:

From the graph:

after 5 hours  distance travelled is 200 miles.

So by proportion distance in 12 hours = 200 * 12/ 5

= 2400/5

= 480 miles.

Answer:

What types of nouns should be used in effective process writing?

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

The angle of elevation of a kite is 53.13°

"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."

"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,

[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"

For given question,

Consider the following diagram for given question.

The length of the string (AC) = 50m

The kite is flying 40m vertically above the ground.

⇒AB = 40m

We need to find the angle of elevation [tex]\theta[/tex]

Consider the sine of angle  [tex]\theta[/tex]

[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]

Therefore, the angle of elevation of a kite is 53.13°

Learn more about the angle of elevation here:

https://brainly.com/question/21137209

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Answer:

the highest or greatest common factor 12,20,and 28 is 4

Answer:

12, 20, 28.

Step-by-step explanation:

here is the answer

no links

no photos

just a simple answer

have a great day/night

:)

Answer: 90 yards

Step-by-step explanation:

10 by 3 by 3 is 90

Answer:

que

Step-by-step explanation:

no sé

Answer:

(B) 0.0864

Step-by-step explanation:

Correct on Edge

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

88<106

so false

Answer:

D

Step-by-step explanation:

[tex]5(3x-2)=6\\15x-10=6\\15x=16\\x=\frac{16}{15}[/tex]

Answer:

D.) 16/15

Step-by-step explanation:

To solve we must first distribute the 5 to everything that is inside the parenthesis. To do this we can multiply 5×3x = 15x     and      5×-2 = -10.We can then combine these new numbers and set them equal to 6.

5(3x-2) ---> 15x-10=6

From here we need to get the x on one side all alone. To do this we need to first move the -10. We can add 10 to both sides.

15x=6+10

Simplify...

15x=16

Then we can divide both sides by 15 to get x alone

x=16/15

Answer:

[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the base of the triangle BC = 11

The height of the triangle AB = 7

The hypotenuse of the triangle AC = x

Now , the length of AC can be calculated from the Pythagoras Theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , AC² = AB² + BC²

Substituting the values in the equation , we get

AC² = 11² + 7²

AC² = 121 + 49

AC² = 170

Taking square roots on both sides of the equation , we get

The value of AC = √170

The value of AC = 13.038

Therefore , the value of x = 13.038

Hence ,

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

To learn more about triangles click :

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Answer:

You can tell if they are similar if all the angles correspond and the sides are all scaled down by the same factor. For instance, a triangle with sides of 30, 40, and 50 scaled down by a factor of 2 would have sides of 15, 20, and 25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Sry I don't know yrrrrrrrrrrrr

Answer:

A,C,D

Step-by-step explanation:

I took it on Edge

Answer:

28 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula of area for triangles: [tex]\frac{1}{2}bh[/tex]

[tex]\frac{1}{2}[/tex] * 7 = 3.5   (3.5 *2) = 7

The formula for area of a rectangle: bh

7*3 = 21

Add the areas together 21+7 = 28 squared cm

Answer:

28cm²

Formula of area of triangle:

1/2 x base x height

Formula of area of rectangle:

length x width

thus,

area of the whole thing:

(1/2 x 7cm x 2cm)+(3cm x 7cm)

=7cm²+21cm²

=28cm²

Answer:

the answer is $ 83,634

your welcome

Answer:

A

Step-by-step explanation:

y = 3x + 10

Ur welcome