The weekly incomes follow the normal probability distribution, with a mean of $1,000 and standard deviation of $100. What is the area under this normal curve (probability) between $840 and $1,200?

Answers

Answer 1

Answer:

0.922

Step-by-step explanation:

→ State the distribution

X ~ N ( 1000 , 100² )

→ State the required probability

p ( 840 < x < 1200)

→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution

0.922


Related Questions

If x and y vary inversely and x = -9 when y = -30, what is the constant of variation

Answers

Answer:

270

Step-by-step explanation:

 x = k/y     This is an inverse relationship with k = constant of proportion (or variation)

-9 = k/(-30)

k = -9  *  -30 = 270

Answer:

Constant of variation  = 270.

Step-by-step explanation:

y = k/x

-30 = k / -9

k = -30 * -9

k = 270

find the circumference and the area of a circle with 6m.
write your answer in terms of π, and be sure to include the correct units in your answer

Answers

Answer:

C = [tex]12\pi m[/tex]

A = [tex]36\pi m^2[/tex]

Step-by-step explanation:

I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].

For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].

If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].

40 points please give the right answer

Answers

Step-by-step explanation:

dk if this makes sense

2- If A=(3, 4) and B = (7,8), find AB.​

Answers

Use distance formula and take this question down, easily.

Step-by-step explanation:

Distance xy =

[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]

Therefore AB

=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]

=[tex]\sqrt{(4)^2 +(4)^2}[/tex]

=[tex]\sqrt{32}[/tex]

=[tex]\boxed{4 \sqrt{2}-units} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]

➢ Here question is asking to find the distance between points "A" and "B"

➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula

➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions

[tex]\rule{80mm}{2.5pt}[/tex]

[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]

★ Here

[tex] \sf \:➣ x_2 = 7 \\ [/tex][tex] \sf➣x_1=3[/tex]

[tex] \sf➣y_2=8[/tex]

[tex] \sf➣y_1=4[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]

[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

Hence distance of AB =

[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]

Hope it helps !

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.

Answers

Answer:

answer is (-2,1), (-1,4), (1,2)

pls mark me as brainliest

The cost of hiring a games console has a one-off cost of £9 plus 50p every day.
Write a formula for the cost (C) in pounds (£) of hiring a games console for f days.

Answers

C=£9+50f
Please let me know if it’s correct also please mark brainliest please.

which of the following is a true statement

Answers

Answer:

The correct answer is the second one.

Step-by-step explanation:

68/5 - 18/5 = 50/5

50/5 simplified is 10

Making the second equation true.

Hope this helps:) Goodluck!

will give brainliest
69 + 420 / 3 = ?

Answers

Answer:

hope this will help you

Step-by-step explanation:

69+420/3

first of all divide 420 by 3 which is 140

69+140

then add with 69

209

Answer:

The correct answer should be 209.

Step-by-step explanation:

Also here Is your art my good sir!

A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck

Answers

Answer:

Step-by-step explanation:

b

One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job

Answers

Answer:

20 hrs

Step-by-step explanation:

t = third worker

1 / ( 1/20 + 1/15 + 1/t)  = 6

1 = 6/20 + 6/15 + 6/t

3/10 = 6/t

t = 20 hrs    

Which ordered pairs represent the equivalent ratios in the table? check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)

Answers

Answer:

(1,4) and (2,8)

Step-by-step explanation:

If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.

Answer:

B, C and D

Step-by-step explanation:

Edge 2022/2023

Please Help! Give full description on how you did both pls. Giving brainleist.

Answers

Answer:

7. m^21n^27

8. a^21b^28

Step-by-step explanation:

7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21

then  n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27

your answer is m^21n^27

8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21

b^4 raised to the 7th power = b( 4 * 7 ) = b^28

your answer is a^21b^28

hope this helps:)

In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.

Pls help i didn’t understand what the teach said

Answers

Answer:

12% decrease

Step-by-step explanation:

given:

In 2017, a chocolate bar had a mass of 250g.

In 2018, the mass of the chocolate bar was reduced to 220g.

The difference in mass is 250 - 220 = 30g

30 / 250 = 0.12 which is how much out of the 250g

0.12 x 100 = 12

12% decrease in the mass of chocolate bars from 2017 to 2018.

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100.

According to the question, it is given that

The mass chocolate bar had a mass of 250g in 2017

The mass of the chocolate bar was reduced to 220g in 2018

We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=(250-220)/250×100

Percentage decrease in the mass of chocolate bars from 2017 to 2018

=30/250×100

=0.12×100

=12%

Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Find the measure of all sides. Round to the nearest tenth.

Answers

Answer:

(15squrt3)/2

Step-by-step explanation:

cos30=x/15

Factorize (x-q) (2f+k)-f(r-q)

Answers

Answer:

..........................

find the value of x in the given figure ​

Answers

Answer:

20

Step-by-step explanation:

2x+3x+4x = 180 degree

9x = 180

X = 20.

Which property is demonstrated below? startfraction 17 over 3 endfraction times startfraction 3 over 17 endfraction = 1 associative property of multiplication inverse property of multiplication identity property of multiplication commutative property of multiplication

Answers

The property applied to the expression is (b) inverse property of multiplication

How to determine the property?

The expression is given as:

[tex]\frac{17}{3} * \frac{3}{17} = 1[/tex]

The numbers 17/3 and 3/17 are multiplicative inverses.

This means that the property applied to the expression is (b) inverse property of multiplication

Read more about expression properties at:

https://brainly.com/question/723406

#SPJ4

Answer:

Inverse Multiplication

Step-by-step explanation:

If you want the work to be shown, look up, otherwise my answer was B on Edge 2022

4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.

Answers

Answer:

116 centimeter squared

Step-by-step explanation:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

can u guys help me with this​

Answers

Answer:

Step-by-step explanation:

A.) 16500 Seconds

B.) 12569 Seconds

C.) 38116 Seconds

D.) 20700  Seconds

E.) 7256

find the surface area of the trianlurprisum.

Answers

Answer: 56

Step-by-step explanation:

you multitouch answers I think


15 x 17 x 20 = 5,100

What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem

Answers

Answer:

C) SSA Similarity Theorem

Step-by-step explanation:

The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.

Estimate, to the nearest degree, the size of each radian measure in degrees.

a) 2.5
b) 5.2
c) 6.8

Answers

B. Just saying, this is an estimate, yet it seems more logical.

PLEASE HELP ME IN MY MATH PROBLEM

Answers

The values are

.|8|=8|-8|=8-|8|=-8-|-8|=-8

First plot two dots on 8

Then rest two on -8

Answer:

See below ~

Step-by-step explanation:

Solving :

|8| = 8|-8| = 8-|8| = -8-|-8| = -8

please solve
5x+3x-2x=

Answers

Answer:

hope it help you

Step-by-step explanation:

[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]

Answer:

6x

Step-by-step explanation:

Take x as the common factor and calculate.

5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6x

Please help I’m so tired of zearn

Answers

Answer:

3

Step-by-step explanation:

At this stage, you have to isolate x. To do this, you must divide by 7 on each side of the equation. 21/7 is 3.

Hope this helped!

Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?

Answers

Answer:

Emily=24 marbles Zak=8 marbles

Step-by-step explanation:

sum of ratio= 3+1=4

Emily: Zak= 3:1

no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles

                                      = [tex]\frac{3}{4}[/tex]×32

                                      =24 marbles

No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32

                                    =8 marbles

This is to get easy points but to also be kind
If Carmen drives 17.5 miles to a grocery store and 17.5 miles back then can’t find what she needs so she drive 12.5 miles to a gas station and 12.5 back how many miles did she drive.

I will be giving points out for being on this app so be on the lookout

Answers

Answer:

60 miles

Step-by-step explanation:

Distance travelled :

2 x Distance to grocery + 2 x Distance to gas station2(17.5) + 2(12.5)35 + 2560 miles

please help me on this you will get alot of point and brainliest

Answers

Answer:

0.8 miles

Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Airport to Arcadia is one leg of right triangle = x

Airport to Stafford is leg2 of right triangle  = 7.6

9.2 miles is hypotenuse of right triangle

Pythagorean theorem:

x^2 + 7.6^2 = 9.2^2

x = ~ 5.2 miles


Three straight lines are shown in the diagram.
310°
a
C
38%
87%

Answers

Step-by-step explanation:

______________________

The sum of angle at a point is 360° so...

310° + a = 360°

a = 360° - 310°

a = 50°

Now...

here b and 180° are supplementary angle so ....

b = 180° - 80°

b = 100°

Again...

The sum of all angle of triangle is 180° so...

100° + 50° + c = 180°

150° + c = 180°

c = 180° - 150°

c = 30°

______________________

Hence...the value of a is 50° , b is 100° and c is 30°...

______________________

Help me pleaseeee 25 points.

Answers

ok i dont have a calculator but basically just do 6x6 for the area of the square. then do pi•9
then take both of those answers and add them together and thats it.
(the two semicircles make one circle so only one calculation is needed for that :)

area of semicircle + area of square + area of semicircle

I think 149.04 in²

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