Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 81st percentile.

Answers

Answer 1

Answer:

[tex]P(81)=56.16[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\mu=50[/tex]

Standard Deviation [tex]\sigma=7[/tex]

Percentile 81st

Generally Probability of 81st Percentile

 [tex]P(Z<x)=81\%[/tex]

Using Standard normal Table

 [tex]P(Z<0.88)=81\%[/tex]

Therefore the 81st percentile is given as

 [tex]P(81)=z*\sigma *\mu[/tex]

 [tex]P(81)=0.88*7*50[/tex]

 [tex]P(81)=56.16[/tex]


Related Questions

This is another problem for my math class
Solve the inequality below
X + 14 > 27

Answers

Answer:

x = 14+

Step-by-step explanation:

If 14 + 14 = 28

Then

28 > 27 is true.

Find the missing side. X is the hypotenuse 12 and 5 are the legs

Answers

Answer:

10.9

Step-by-step explanation:

Given that,

Hypotenuse = 12

One leg = 5

We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :

[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]

So, another leg is 10.9.

There are 6 red marbles, 4 blue marbles, and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probability that you will choose a red marble?

Answers

Answer:

6+4+15 = 25 and since there are 6 red marbles the answer is 6/25

Answer:

6 out of 25 chance/ 24%

Step-by-step explanation:

15 + 4 = 19 + 6 = 25

6/25 = 0.24 = 24%

Select the correct answer.
tan
What is
11
6
O A.
-V3
B.
V3
3
O C. 3
OD.
V3
3
Reset
Next

Answers

Answer:

A)

Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make a 100% and have a nice day! -Amelia♥

The value of tan(11pi/6) is -√3/(3), the correct option is B.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are given that;

The trigonometric function= tan(11pi/6)

The value of tan(11pi/6) can be found by using the unit circle or by using trigonometric identities. One way to find it is by using the identity tan(x) = sin(x)/cos(x) and plugging in 11pi/6 for x.

tan(11pi/6) = sin(11pi/6)/cos(11pi/6)

To find sin(11pi/6) and cos(11pi/6), we can use the reference angle pi/6 and recall that sin(pi/6) = 1/2 and cos(pi/6) = √3/2. Since 11pi/6 is in the fourth quadrant, where sine is negative and cosine is positive, we have:

sin(11pi/6) = -1/2

cos(11pi/6) = √3/2

Plugging these values into the expression for tan(11pi/6), we get:

tan(11pi/6) = (-1/2)/(√3/2)

tan(11pi/6) = -1/(√3)

We can rationalize the denominator by multiplying both numerator and denominator by √3:

tan(11pi/6) = (-1/(√3))(√3)/(√3)

tan(11pi/6) = -√3/(√3)(√3)

tan(11pi/6) = -√3/(√9)

tan(11pi/6) = -√3/(3)

Therefore, by the trigonometry the answer will be -√3/(3).

Learn more about trigonometric;

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Pls help 10 pnt
X=
6
3.75
2

Answers

4 × ( x + 4 ) = 3 × ( 3 + 5 )

4 × ( x + 4 ) = 3 × 8

Divide both sides by 4

x + 4 = 3 × 2

x + 4 = 6

Subtract both sides 4

x = 2

A recipe calls for 2/5 cup of chicken broth and 1/6 cup of vegetable broth. What is the total amount of broth need for the recipe?​

Answers

Answer:

I may not be correct, depending on what you were taught, but it would be...

17/30

Step-by-step explanation:

(2/5×6/6)+(1/6×5/5)

12/30 + 5/30

17/30

keep in mind you don't add the denominators at all ( the numbers at the bottom half of the fraction)

Which is the equation of the axis of symmetry

Answers

Answer:

Step-by-step explanation:

It would be X=2 because axis of symmetry is the line passing through X=2.

A bag contains four red marbles and eight
blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag.Both marbles are red.

Answers

Answer:

B is most credible for this problem. :-D

Hi I am so happy that I have had to

Multiply and find the total

Algebra

Answers

Answer:

n - 1

Step-by-step explanation:

(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)

Kindly check attached picture for simplification

Need help with the answer??

Answers

Answer:

answer is optioc c

Step-by-step explanation:

area of circular pizza=pie*diameter

=1/4*pie*d^2

=3.14/4*100

=314/4

=78.5

area of square pizza=l^2

=9^2

=81

therefore square pizza is bigger in area than circular pizza.

PPLEASE HELP FAST
The social welfare department of town conducted a survey to know the number of illiterate males and females in the town. The results are given below.
Total number of males = 58,409
Total number of literate males = 47,354
Total number of females = 54,289
Total number of literate females = 42,876
Based on the above information answer the following questions.
a) Find the number of illiterate males and females and write their number name.

b) Find the total number of people in the town and round it to the nearest hundreds place.

Answers

A) 58,409 - 47,354 = 11,055
There are 11,055 illiterate males in the town.

54,289 - 42,876 = 11,413
There are 11,413 illiterate females in the town.

There are (11,413 - 11,055) 358 more illiterate females than males in the town.


B) There are exactly 112,698 people in the town. If rounded to nearest hundreds, there is approximately 112,700 people in the town.

Find the area of the shape shown below...
Please help-

Answers

Answer:

[tex]A=32~sq~units[/tex]

------------------

[tex]A=A_1+A_2+A_3+A_4[/tex][tex]A=1/2(4)(10)+1/2(2)(2)+(2)(2)+1/2(2)(6)[/tex][tex]A=20+2+4+6[/tex][tex]A=32[/tex]

-------------------------

hope it helps...

have a great day!!

Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]

Required

Find x

To do this, we make use of the following equivalent ratios

[tex]JK:JL = JD:JC[/tex]

This gives

[tex]98 : 63 = 7x + 7:27[/tex]

Express as fraction

[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]

Multiply both sides by 27

[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]

[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]

[tex]3* \frac{98 }{ 7} =7x + 7[/tex]

[tex]3* 14 =7x + 7[/tex]

[tex]42 =7x + 7[/tex]

Collect like terms

[tex]7x = 42 - 7[/tex]

[tex]7x = 35[/tex]

Divide both sides by 7

[tex]x = 5[/tex]

ASAP HELP you have $125 dollars in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer:

9

Step-by-step explanation:

3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?

Answers

They will have the same amount of money saved in 4 days

A car travels 374 miles in five hours and 30 minutes. how many miles does it travel per hour?

Answers

Answer:

the answer is 68 miles

Step-by-step explanation:

you would change 5 hours and 30 minutes to 330 minutes and then you would do 374/330 and 330/330 that would be 1.13333333333 and 1 next you would do 1.13333333333 times 60 and 1 times 60 and it would equal to 68 miles in 60 minutes or 1 hour

2. Luego de entrevistar a diez de los pasajeros que viajaba en el bus que chocó intempestivamente contra un poste, se concluyó que el chofer era inocente. Identifica la población, la muestra, variable y el tipo de variable.

Answers

Respuesta:

Población = Todos los pasajeros en el autobús

Muestra = los 10 pasajeros entrevistados

Variable = inocencia del conductor; por tanto es una variable cualitativa

Explicación paso a paso:

La población se refiere a todo el conjunto de observaciones que están relacionadas con un evento o experimento en particular. Aquí, todos los pasajeros del vehículo constituyen la población, ya que nuestra investigación se basa en el vehículo.

La muestra es un subconjunto de la población que generalmente se elige al azar de manera que sea representativa de la población.

La variable que pretendemos medir es si el conductor es inocente o no. Por lo tanto, llamamos a esto la variable medida. Debido a que la culpa o la inocencia no es numérica, se considera una variable cualitativa.

What is the measure of the angle

Answers

Answer:

it's 60 degree in my thinking

Step-by-step explanation:

hope this is the answer

Answer:

I think it's somewhere in the 80's or 70's

Step-by-step explanation:

bit you actually need a protractor to figure out the exact measurements

the cost of 21 articles is equal to selling price of 18 articles. find the profit or loss percent.​

Answers

Answer:

If all the items are sold, the profit percentage is 14.28%.

Step-by-step explanation:

Given that the cost of 21 articles is equal to selling price of 18 articles, to find the profit or loss percent the following calculation must be performed:

21 = 100

21 - 18 = X

21 = 100

3 = X

(3 x 100) / 21 = X

300/21 = X

14.28 = X

Therefore, if all the items are sold, the profit percentage is 14.28%.

Analyze the diagram below and answer the the question that follows. Which statement is false? A. Angle MNO is congruent to angle OPM by SSS. B. angle MON is congruent to angle OMP by SAS. C. angle MPO is congruent to angle MNO by SAS. D. MO = OM

Answers

9514 1404 393

Answer:

  C. triangle MPO is congruent to triangle MNO by SAS

Step-by-step explanation:

Enough information is given in the diagram so that we know ...

  ΔMNO ≅ ΔOPM

by either the SSS or SAS congruence postulates.

What makes statement C false is the fact that the vertices listed are not corresponding vertices.

_____

Additional comment

The wording here is of the form <angle 1> is congruent to <angle 2> by <some triangle congruence postulate>. A triangle congruence postulate can be used to show triangle congruence. Angle congruence must be based on a different claim.

Kelly Slater and Andy Irons are in a surf competition among 10 competitors.
If all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place
2nd? Write your answer as a simplified fraction.

Answers

Answer:

The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.

Step-by-step explanation:

Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:

1/10 x 1/9 = X

0.1 x 0.11 = X

0.01111 = X

1/90 = 0.011111 = X

Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.

Find the equation of the line below

Answers

the answer is y=1/4x

What are the zeros of the function f(x) = (2x +6)(x-4)?
A. x=-6 and x= -4
B. x= 3 and x=-4
C. x = 6 and x= -4
D. x= -3 and x = 4

Answers

Answer:

2x+6=0 x-4=0 2x=-6 x=-3 x=4

Answer:

- 3 and 4

Step-by-step explanation:

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
4x+x–2x

Answers

Answer:

2x+x

Step-by-step explanation:

Find the equation of the line that
is perpendicular to y = -2x + 1
and contains the point (8, 2).
[?]
y =
x+ [

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept

y=mx+b

2=[tex]\frac{1}{2}[/tex](8)+b

2=4+b

B=-2

y=[tex]\frac{1}{2}x-2[/tex]

Find...
2/7 of 36
I really need help!

Answers

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

You roll a six sided number cube and flip a coin.What is the probability of rolling a number less than 6 and flipping heads?Write fraction in simplest form

Answers

Answer:

5/12

Step-by-step explanation:

Probability to roll a number<6 = 5/6 (each number has probability of 1/6, and there are 5 numbers < 6)

Probability to toss heads = 1/2

Condition "and" = multiplication of probabilities=5/6*1/2=5/12

I would greatly appreciate if you could solve this 4 me. Thank you!

Answers

Answer:

Look at the image.

Step-by-step explanation:

It would be A i’m pretty sure

The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.

Answers

Answer:

Step-by-step explanation:

The equation for finding the perimeter of a rectangle is 2Lx2H

So since the length is 16, you multiply that by 2 to get 32.

Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height

hope this helped!

Answer:

5

Step-by-step explanation:

73/16

16*5=73

Find the value of x and y. Show your work.

WILL GIVE BRAINLIEST!!!!!

Answers

Step-by-step explanation:

4x = 112

× = 112 ÷ 4

× = 28

Corresponding angles are equal

y = 28

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