Estimate the measure of the angle ? 85 70 235 310

If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$

Where $\mu=100000$ and $\sigma=20000$

We are interested on this probability

$P(X>117000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

7 0

2 years ago

Twice a number is 24 a. 2- n = 24 b. 2 + n = 24 c. 2 / n = 24 d. 2n = 24

Novosadov [1.4K]

Answer:

the answers are

a)-22

b)22

d)12

8 0

2 years ago

Read 2 more answers

Question one please and show work

Ilya [14]

Answer:

Step-by-step explanation:

c is correct bcause if you work out a it says is less than. then the gcf is 2 and 3 but do 2 times 3

6 0

3 years ago

Read 2 more answers

SHOW YOUR WORK,Solve this system of equations for x using the addition method

maria [59]

Answer:

NUMBER 1.)

Step 1

Subtract 3y3y from both sides.

5x=10-3y5x=10−3y

Step 2

Divide both sides by 55.

\frac{5x}{5}=\frac{10-3y}{5}

5

5x

=

5

10−3y

Hint

Undo multiplication by dividing both sides by one factor.

Step 3

Dividing by 55 undoes the multiplication by 55.

x=\frac{10-3y}{5}x=

5

10−3y

Hint

Undo multiplication.

Step 4

Divide 10-3y10−3y by 55.

x=-\frac{3y}{5}+2x=−

5

3y

+2

Hint

Divide.

Solution

x=-\frac{3y}{5}+2x=−5

3y+2

Step-by-step explanation:

NUMBER 2.)

Step 1

Add 4y4y to both sides.

3x=6+4y3x=6+4y

Step 2

The equation is in standard form.

3x=4y+63x=4y+6

Step 3

Divide both sides by 33.

\frac{3x}{3}=\frac{4y+6}{3}

3

3x

=

3

4y+6

Hint

Undo multiplication by dividing both sides by one factor.

Step 4

Dividing by 33 undoes the multiplication by 33.

x=\frac{4y+6}{3}x=

3

4y+6

Hint

Undo multiplication.

Step 5

Divide 6+4y6+4y by 33.

x=\frac{4y}{3}+2x=

3

4y

+2

Hint

Divide.

Solution

x=\frac{4y}{3}+2x= 3

4y+2

4 0

1 year ago

Jaeden is shopping for shoes. The available styles are Jordan (J), Adidas (A), and under armor (U), Make an organized list to sh

anzhelika [568]

Answer:

J, A

J, U

A, U

Step-by-step explanation:

5 0

2 years ago

Estimate the measure of the angle ?8570235310​

Estimate the measure of the angle ?8570235310