The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?

Answers

Answer 1

Answer:

0.74751

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ, where

x is the raw score = $460

μ is the population mean = $490

σ is the population standard deviation = $45

z = 460 - 490/45

z = -0.66667

Probability value from Z-Table:

P(x < 460) = 0.25249

P(x > 460) = 1 - P(x<460)

P(x > 460) = 1 - 0.25249

P(x > 460) = 0.74751

The probability that a randomly selected teacher earns more than $460 a week is 0.74751


Related Questions

PLEASE HELP FAST AND CORRECT! 50 POINTS

Answers

Answer:

So glass 2/3 full than full 2/3 glass so full 3 than so

Step-by-step explanation:

SOURCE TRUST ME BRO

Match each equation with its graph

Answers

Answer:

The first graph would be y=5x+2

The second graph would be y=3x+3

The third graph would be y=2x+3

Step-by-step explanation:

First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.

Second Graph: x = -1.

y=3

The line in the graph goes through both.

Third Graph:  x = -1.5

y = 3

The line also goes through both.

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)

Answers

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

What mathematical property is represented by the equation below

c+d=d+c

Answers

Answer:

Step-by-step explanation:

c+d=d+c

Associative Property

Find the next term of the following sequence. 25,10,4

Answers

Answer:

8/5

Step-by-step explanation:

25/10=2.5, 10/4=2.5, 4/2.5=1.6

Find the equation of the line. Use exact numbers.​

Answers

y = -2x + 5
hope this helps!
-2 + 5 i think so...

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23


What is the value of 3-(-2)?

Answers

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-(-2) is equal to +2, so the equation is 3+2 which is 5

If {x) = 3x + 2, what is (5)?​

Answers

You mean f(x) = 3x+2 and what is f(5)?

f(5) = 3(5)+2

f(5) = 15+2

f(5) = 17

So f(5) = 17

Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D

Answers

Answer:

D. Julie’s assets decreased by more than her liabilities.

Hope it helps❣️

Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?

Answers

I’m guessing 3 miles. You would have to cross multiply and solve for x, miles. I hope this is right.

find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1

Answers

Answer:

B) 38.7

Step-by-step explanation:

Answer:

A) 36.9

Step-by-step explanation:

took the test :)

Which angles are alternate interior angles explain

Answers

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

Answers

Answer:

See below

Step-by-step explanation:

[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]

Thus proved

Solve this 2 step equation 3x-7=20

Answers

Answer:

x=9 if thats what your asking

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3x-7=20

3x=20+7

3x=27

X=27/3

X=9

So the value of X is 9

Which linear regression equation best fits the given points?

(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)

yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9

Answers

Answer:

Here you go! Hope I am not to late..

Step-by-step explanation:

I took the test.

Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.

Answers

Answer:

0.02

Step-by-step explanation:

Given a normal distribution :

Mean income (m) = 25000

Standard deviation of income (s) = 6000

X ≥ 12000

Using the relation to fund the standardized score :

Zscore =(x - m) / s

Zscore = ( 12000 - 25000) / 6000

Zscore = -13000 / 6000

Zscore = - 2.167

Using a z probability calculator :

P(Z ≤ - 2.167) = 0.015117

= 0.02

Write each set of numbers in set-builder and interval notation

X>50

Answers

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise

Answers

Answer:

I think the answer is 720!

Step-by-step explanation:

8x-2 (6x + 4) simplify by using the distributive property

Answers

Answer:

48x^2+ 20x-8

Step-by-step explanation:

The answer is -4x -8.

A coat discount 40% off it's regular price. Which value is equivalent to 40%

Answers

0.4 ,2/5 as a fraction, and a ratio 2:5 !

A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.

Is this a valid conclusion?

Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.

Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.

No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.

Answers

Answer:

C

Step-by-step explanation:

No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.

Given that,
A statement is given we have to justify which among the option is the correct reason.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.

Thus, Option C is correct.

Learn more about Statistics here:
https://brainly.com/question/23091366

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Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
(blank) feet.

Answers

Answer:

There is descending of 8260 feet in altitude for all 4 balloons.

Anybody know the answer to this ?

Answers

it’s 5.8 hope this helps

Answer:

13.08 United States Dollars

Calculate the volume

Please show the steps...

Answers

Answer:

(a) 2.6 m^2

(b) 3.9 m^3

Step-by-step explanation:

(a)

ABCD is a trapezoid.

A = (B + b)h/2

A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2

(b)

The skip is shaped like a prism with trapezoidal bases.

V = area of base * height

V = 2.6 m^2 * 1.5 m = 3.9 m^3

someone helppp please!!

Answers

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Solve for www. -4(w+1) = -24

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-4w-4=-24

-4w=-24+4

-4w=-20 to find w divide both side by -4

-4w/-4 =-20/-4

w=5

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.

Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.

Answers

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