X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to the left of 8.52.

Answers

Answer 1

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7


Related Questions

A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?

Answers

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%​

Answers

Answer:

I think its B

Step-by-step explanation:

Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP

Answers

9:1. 9 miles in 1 hour.
First guy is correct 9:1 ratio :)

I need help I will give brainliest I promise

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Help please ! I'm soo confused

Answers

Answer:

(1/7)^(-1)<(1/7)^(-2)

7(-1)<(1/7)^(-1)

7^-2<7^-1

Step-by-step explanation:

U can look at the negative exponent that negative sign as the divide sign over 1

7^(-1)means 1/7

7^(-2) means 1/7^(2)=1/49

(1/7)^(-1)=7

(1/7)^(-2)=49

What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33

Answers

i hope this can help you

Answer:

y = 3

Step-by-step explanation:

     3x + 5y = 33       ---------------(I)

     3x + 4y = 30       ----------------(II)  {subtract  equation (II) from (I)}

    -     -       = -

             1y = 3

y = 3

The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes

Answers

He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225

thisss plss LOL again> (no link) if u do die.

Answers

Add a+b+c=p for the triangle.

24+26+10=60, Then add this to the semi-circles perimeter.

p=r(pi+2)

r=d/2

p=13(3.14+2)

p=13(5.14)

p=66.82

Add 66.82+60

66.82+60=126.82

Answer: 126.82

what is 10 +10+10+10 +20'

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

What do rhombuses always have

Answers

Answer:

A, B, and D

Step-by-step explanation:

Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00

Answers

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.

Answers

Answer: 1st one is geometric I think not fully sure but the second is 3 times

Step-by-step explanation: I was doing it

Answer:

geometric, 3 times

Step-by-step explanation:

imagine math

Can someone please help! I'll do anything you want!

Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No

Answers

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

if a/b=2 what would 4b/a be

Answers

Answer:

2 i think

Step-by-step explanation:

if a/b is 2 then it means a/b is equivalent to  2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2

Answer:

2

Step-by-step explanation:

We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.

add these values into the equation

4(1)/2

4/2

2

Find the angle measures.

Answers

A straight line = two linear pairs
They form supplementary angles
(Add up to 180 degrees)

5x + x + 12 = 180
6x + 12 = 180
6x = 168, x = 28
m<1 = 5(28) = 140 degrees
m<2 = 28 + 12 = 40 degrees

Solution: m<1 = 140 degrees
m<2 = 40 degrees

What is the radius when the circumference is 314

Answers

Answer:

Radius is 50 cm.

Step-by-step explanation:

A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?

Answers

Answer:

There are 24 squares in the entire rectangle

Step-by-step explanation:

Trom the problem, we are given that one row covers 1/8 of the entire rectangle.

We are also told that this one row, contains three squares.

In other words, what this means is that three squares cover 1/8 of the entire rectangle.

The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.

In fraction, we can represent a whole using 1/1

We can set up a simple relation to this effect.

3 squares give 1/8 of the rectangle

x squares give 1/1 of the rectangle

cross multiplying, we have

x = 3 ÷(1/8) = 24

Therefore, there are 24 squares in the entire rectangle

someone please explain to me how this is done please​

Answers

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Which of the following expressions will find the sum interior angles of a polygon with 14 sides?

A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)

Answers

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

What is the Sum of the Interior Angles of a Polygon?

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

Learn more about sum of inetrior angles of a polygon on:

https://brainly.com/question/24966296

#SPJ2

A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?

Answers

1/2 gray and 1/5 and the other one is a pretty good probability for the color

Answer:

[tex]\frac{5}{78}[/tex]

Step-by-step explanation:

First, find the probability that the first card is gray.

Since there are 13 cards in total, and 2 are gray, the probability will be 2/13

Next, find the probability that the second card is pink.

Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.

Now, to find the probability that these are drawn in order, multiply the probabilities together:

[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]

= [tex]\frac{5}{78}[/tex]

So, the probability is [tex]\frac{5}{78}[/tex]

Someone please Help!!!!!

Answers

Answer:

I believe that the slant height is 15.3 because of pythagorean theorem.

This means that the surface area is 740.2

Step-by-step explanation:

ayo can yall help me plzzz

Answers

Answer:

D, Impossible

Step-by-step explanation:

Answer:impossible

Step-by-step explanation:

there aren’t any green folders

If you multiply 2 xr you will get the ....?

Answers

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0



O
С
D

Answers

Answer:

c) 32.5

Step-by-step explanation:

the formula for the mean of a data set is-

average= sum/count

14+54+54+35+25+34+21+23=260

so now we have our sum- 260

for the count, we just have to count how many numbers there are-

8

average= sum/count

=260/8

=32.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)

Answers

Answer: A notebook cost $2.25

A pen cost $3.50

Step-by-step explanation:

Let the price of notebook be n

Let the price of pens be p.

Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:

4n + 2p = 16 ..... equation i

Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:

5n + p = 14.75 ..... equation ii

Combining both equations will give us:

4n + 2p = 16 ..... i

5n + p = 14.75 ...... ii

Multiply equation i by 1

Multiply equation ii by 2

4n + 2p = 16 ....... iii

10n + 2p = 29.50 ...... iv

Subtract equation iii from iv

6n = 13.50

n = 13.50/6

n = 2.25

A notebook cost $2.25

Since 4n + 2p = 16 from equation I

4n + 2p = 16

4(2.25) + 2p = 16

9 + 2p = 16

2p = 16 - 9

2p = 7

p = 7/2

p = 3.5

A pen cost $3.50

8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale. ​

Answers

Answer:

Hello! Answer: 496

Step-by-step explanation:

When finding area for triangles we have to do base x height then divide by 2 so

62 x 16 = 992

992 ÷ 2 = 496

So 496 is our answer!

Answer:

A - 496

Step-by-step explanation:

formula for area of a triangle

[tex]a = \frac{bh}{2} [/tex]

where b = base length and h = height

The triangle shown has a base length of 62 ft and a height of 16 ft

That being said we plug in the given values into the formula

[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]

Hence the area of the triangle is 496 square feet

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

which sequence has nth term 2n+5

a)7,21,35,
b)7,9,11,13
c)1,4,9,16

Answers

Answer:

The answer is b.Look below for details.

Step-by-step explanation:

Question no 1. The sequence has the common difference of 14.

t1=7

t2=21

t3=35

We have

tn=a+(n-1)d

=7+(n-1)14

=7+14n-14

=14n-7(Its not our answer)

Lets try b.

The common difference is 2 in this sequence.

t1=7

t2=9

t3=11

t4=13

We have

tn=7+(n-1)2

=7+2n-2

=2n+5(Its is our answer.) Got it.

Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean

Answers

I think the answer is C

This diagram shows

Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles

Answers

supplementary angles
Explanation: supplementary angles are angles that add up to 180 degrees and as these two angles are on a straight line and straight lines are always 180 degrees
hope that helps if u have any questions let me know and i would rly appreciate if u could mark this as brainliest !!
Other Questions
True or false ????Help please A jar contains 25 gray, 7 pink, and 22 orange marbles. A marble is drawn at random.P(not gray). 3. Which of the following is often written in chronological order?memoirbiographyautobiographynovel Can someone please help me I will mark u brilliant im confused? this lesson was so confusing What is the equation of the line that passes through the point (1,5) and it parallel to the line 2x + y = 10? HELP NOW Each of three friends flips a coin 36 times 36 times. Angel records tail 20 times Michael records tails 17 times Fernada records tails 23 timesa. Find the relative frequency with which each friend record "Tails"b. Which friend has a relative frequency that is closest to the theoretical probability of flipping "tails" 36 times The right rectangular prisms are similar. The bigger prism has a length of 2.2, width of .8, and height of 3.2. The smaller prism has a length of 1.1, width of .4, and height of 1.6. Which statements are correct? Check all that apply. - The angles in the smaller prism measure 90 degrees. - The perimeter of the rectangular bases changes by a factor of 2. - The surface area changes by a factor of 8. - The larger prism has twice the volume of the smaller prism. - The area of the rectangular bases changes by a factor of 4. 29:07Using the patterns of inverse variation, complete the following table if y is inversely proportional to the cube of x:x0.5642Y16a.10.0374b.2C.d.8Please select the best answer from the choices providedABD Desmond is 25 years old and he participates in his employers 401(k) plan. During the year, he contributed $3,000 to his 401(k) account. What is Desmonds 2016 savers credit in each of the following alternative scenarios?a) Desmond is not married and has no dependents. His AGI after deducting his 401(k) contribution is $34,000.b) Desmond is not married and has no dependents. His AGI after deducting his 401(k) contribution is $17,500.c) Desmond files as a head of household and has an AGI of $44,000.d) Desmond and his wife file jointly and report an AGI of $30,000 for the year. How did South Carolinians contribute to the Harlem Renaissance? Please help ????? Just the bottom question Sleep is just one long blink. Change my mind. What's the captain of Illinois ? If a substance has a half life of 58 years and starts with 500 g radioactive, how much remains radioactive after 30 years? find z. explain please This is a whatA human b alien C mammal D all the above. (45 points)(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?I NEED THIS ASAP! If anyone has done the edge acids and bases lab please help me it would be deeply appreciated Do ecosystems always stay the same? Explain