Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a value between 75 to 90 is ________.

Answers

Answer 1

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

How to get the probability?

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

If you want to learn more about probability, you can read:

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Related Questions

A ladder leans against the side of a house. The top of the ladder is 14 from the ground. The bottom of the ladder is 10 from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth.

Answers

Answer:

17.2 to the nearest tenth.

Step-by-step explanation:

Use the Pythagoras theorem

If x is the length of the ladder:

x^2 = 14^2 + 10^2

x^2 = 296

x = √296 = 17.2047

what is the answer? tap on the image

Answers

Answer:

D

Step-by-step explanation:

The distance between point C and the y axis is 2 units

The distance between point A and the y axis is 9 units

2<9

D

Answer:

its d, point c is closer to the y-axis than point a

Step-by-step explanation:

If a man goes to a cafe he wants to buy a wrap with the price of 8.80 dollars he gives the cafe lady 10 dollars how much change does he get?

Answers

It would be $1.20
8.80 + 1.20 = 10

Jack bought five bracelets and one necklace
for $24. Jill bought six bracelets and four
necklaces for $54. Write an equation for each
person. Use b to represent the number of
bracelets and n to represent the number of
necklaces

Answers

Answer:

Jack: 4 x 6 = 24

Jill: 5.4 x 10 = 54

Step-by-step explanation:

Jack:

5 + 1 = 6

24 ÷ 6 = 4

4 = $4 per item

Jill:

6 + 4 = 10

54 ÷ 10 = 5.4

5.4 = $5.4

B: 11

N: 5

Hope this helps!

How do you write – 6 5/9 as a decimal?

Answers

Answer: 6.56

Step-by-step explanation:

Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

6 × 9 = 54

Step 2: Add the product you got in Step 1 to the numerator:

54 + 5 = 59

Step 3: Divide the sum from Step 2 by the denominator:

59 ÷ 9 = 6.555556

That's it folks! The answer to 6 5/9 in decimal form is displayed below:

6 5/9 ≈ 6.56

Solve for f.

4
f − 3
=
5
f − 6

There may be 1 or 2 solutions.

f =
or f =

Answers

Answer:

3

Step-by-step explanation:

4f-3 = 5f-6

First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides

4f -3 = 5f -6

  +6         +6

Making it into: 4f + 3 = 5f

Now to get the 4f on the other side we will have to subtract it from both sides

4f +3 = 5f

-4f         -4f

3= f  (Remember you do not have to put the 1, making 3 your answer)

A convex polyhedron has faces that consist of 6 squares and 8 triangles. The polyhedron has 24 edges. How many vertices does it have?

Euler’s formula: V + F = E + 2

12
18
26
36

Answers

Answer:  A 12 vertices

i got a 100 on unit test on edge

Step-by-step explanation: because a polyhedron that consist of 6 squares and 8 triangle and has 24 edges is a Cuboctahedron which has 12 vertices

https://en.wikipedia.org/wiki/Cuboctahedron

Answer:

12

Step-by-step explanation:

edge 2023

ASAPPPPPPPPPPPPPPPPPPP HELP 50 PTS AND BRAINLY EST

Answers

answer is 1 1/2

hope it helps...!!!

Highest weight is 4(3/4)
Lowest weight is 3(1/4)

Find the difference:
4[3/4] - 3[1/4]=
Subtract 3 from 4:
4-3 = 1
Subtract the fractions:
3/4 - 1/4 =
2/4=
1/2
Combine:

1[1/2]

Round 0.293263 to the ten thousandths place

Answers

Answer:

0.293263 rounded to the ten thousandths place

=0.2933

Answer:

0.2933

Step-by-step explanation:

0.293263 is the decimal you have to round.

0.293263 (the first 2 is in the tenths place)

0.293263 (the 9 is in the hundredths place)

0.293263 (the first 3 is in the thousandths place)

0.293263 (the second 2 is in the ten-thousandths place)

0.293263 (the 6 is in the hundred-thousandths place)

0.293263 (the second 3 is in the millionths place)

They tell you to round the decimal to the ten thousandths place.

The second 2 is in the ten-thousandth place (0.293263).

To round digits you look at the number to its right, if it is 5-9 you round the number up, if it is 0-9 you leave the number as it is.

The number to the right of the number we're rounding (the 2 in the ten-thousands place) is a 6, 6 is a 5-9 number so we round the ten-thousands place digit up 1 number, (from 2 to 3).

And we have our rounded number 0.2933

Hope that helped... Chow!

A(-4,7) B(3,5) C(-6, 2) Triangle ABC is reflected across the line y = 2 to form triangle A'B'C'. What is the x- coordinate of B'?​

Answers

I think the x-coordinate of B’ is 3 since it is reflecting over the Y axis, so the X values should not change.

can you help me please

Answers

Answer:

r = 728   ( there might be an easier way! )

Step-by-step explanation:

w/r = 3/8       then   w = 3/8 r

b/w = 2/7       b = 2/7 w     sub in the above equation  b = 2/7 (3/8 r) = 6/56 r

r + w + b = 1079

r + 3/8 r + 6/56 r = 1079

  r = 728

PLEASE HELP WITH THIS DUE IN A COUPLE HOURS

Answers

Answer:

D) 15

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]

A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
A. 8,031,810,176
B. 3,315,312,000
C. 823,543
D.657,800

Answers

Answer:

B

Step-by-step explanation:

This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.

1st - 26

2nd - 25

3rd - 24

4th - 23

5th - 22

6th - 21

7th - 20

To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.

Answer:

B

Step-by-step explanation:

The answer is B

you can find answers for questions like these on quizlet.

What is the factorization of 121b4 − 49? (11b − 7)(11b − 7) (11b 7)(11b − 7) (11b2 − 7)(11b2 − 7) (11b2 7)(11b2 − 7)

Answers

The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).

The equation 121b⁴ − 49

To find the Factorization of 121b⁴ − 49.

What is the factor of a^2-b^2?

The factor of a^2-b^2 is  (a+b)(a-b)

We have write the given equation in the form of a^2-b^2

[tex]= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)[/tex]

Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).

To learn more about the factor visit:

https://brainly.com/question/25829061

Answer:

(11b2 + 7)(11b2 − 7)

Step-by-step explanation:

just did the test

PLEASE PLEASE HELP ME WITH THE BOTTOM ONE!!!

Answers

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

If x – 4 is a factor of x2 + 8x + k, what is the value of k?

Answers

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:

If a+5=b, then what is the value of (b-a)^4

Answers

Answer:82

Step-by-step explanation:

90 + 90 × 10%

= 90 + 90 × 0.10

= 90 + 9

= 99

PLEASE HELp
find the degree for the two points below using the circle

Answers

Answer:

Step-by-step explanation:

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire

attached? Write your answer in simplest form

Answers

The wire is attached to the pole at 18 root3 ft high.

We have given that,

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.

This is a right triangle formed of which hypotenuse is

h=36ft.

Angle is θ=60degree

Let P be the height of pole.

What is the value of the sin ratio?

[tex]\frac{Opposite\ side}{hypotenous}[/tex]

then, sin60=P/H or root3/2=P/36

P=36√3/2

or

P=18√3ft.

The wire attached to the pole at P=18√3ft.

To learn more about the pole visit:

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Find the output, kkk, when the input, ttt, is 333.
k = 13t-2k=13t−2

Answers

Answer:

The answer is 37.

Step-by-step explanation:

Step 1: To find the output, k, we need to substitude 3 into the equation for t.

Step 2: k = 13t - 2

k = 13 x 3 - 2

= 39 - 2

= 37

Step 3: When the input is 3, the output is 37.

How many ways can we list the names Bobby, Billy, Mickey, Sally, Betty, Jimmy, Mary, and Fred? Show your work and leave your answer in either exponential or factorial form.

Answers

Answer:

40,320

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

The factorial of a natural number is denoted with n! and is equal to the product of all the natural numbers in sequence from 1 to n.

What is a Factorial?

This refers to the different ways a thing can be arranged from an available selection of items.

Hence, given that we do not have the complete information, we can only give you a general overview of how to solve a factorial and get answers.

Read more about factorials here:

https://brainly.com/question/2279140

#SPJ2

Determine the most appropriate model for the data in the table.
Please help

Answers

Answer:

An exponential model will be the best for the data.

Step-by-step explanation:

If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.

Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.

solve each inequality |8x+5|<-3

Answers

Step-by-step explanation:

[tex]| 8x - 5 | < - 3[/tex]

[tex]8x < - 3 + 5[/tex]

[tex]8x < 2[/tex]

[tex] \frac{8x}{8} < \frac{2}{8} [/tex]

[tex]x = \frac{1}{4} [/tex]

Answer:

x = 1/4

Step-by-step explanation:

In ∆VAC, what is the value of x?

Answers

Answer:

a = 180 - 150 = 75

x = 180 - 75 = 48

x = 57

PLS I GIVE BRAINLIEST

Answers

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°.

How to determine a missing angle within a geometrical system

By Euclidean geometry we know that squares are quadrilaterals with four sides of equal length and four right angles and triangles are equilateral when its three sides have equal length and three angles with a measure of 60°. In addition, a complete revolution has a measure of 360°.

Finally, we must solve the following equation for the angle QUP:

m∠QUR + m∠QUP + m∠PUT + m∠RUT = 360

60 + m∠QUP + 60 + 90 = 360

m∠QUP + 210 = 360

m∠QUP = 150

The size of the angle QUP in the system formed by the equilateral triangle QUR, the equilateral triangle PUT and the square RUTS is equal to 150°. [tex]\blacksquare[/tex]

To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/13805601

Data and Statistics- Find the median in the box plot below:

Answers

Answer:

Your median is 40

Step-by-step explanation:

During his winter vacation, George reunited skis and boots for 5 days from the slope slayer ski shop. The shop charges the same rate for each day of a rental. Including a $7.50 application fee, George paid a total of $177.25 to rent skis and boots.

What is the rate of change, in dollars per day, for the function that represents George’s rental cost.

A. 7.50

B. 33.95

C. 35.45

D. 42.95

Answers

The answer is B



Explanation: you start with 177.25 the total and subtract 7.5. Then you grab 169.75 and divide by 5. Getting you 33.95

Answer:

B. 33.95

Step-by-step explanation:

177.25 - 7.50 = 169.75

169.75/5 = 33.95

I need help please im not sure what the answer is .

Answers

Answer:

[tex]log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Step-by-step explanation:

[tex] log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Find the volume of the cone shown as a decimal rounded to the tenth. 22m 12m

Answers

Answer:

b

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius , h is the height )

here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then

V = [tex]\frac{1}{3}[/tex]π × 6² × 22

   = [tex]\frac{1}{3}[/tex]π × 36 × 22

    = [tex]\frac{1}{3}[/tex]π × 792 ( cancel 3 and 792 by 3 )

    = π × 264

    ≈ 829.4 m³ ( to the nearest tenth )

Lauren bought 10 packs of dog toys. If there are 10 dog toys in each pack, how many packs of dog toys did Lauren buy?

Answers

10 packs of dog toys; or 100 dog toys all together.

Step-by-step explanation:

If Lauren bought 10 packs of dog toys, and there are 10 dog toys in each pack, you could simply multiply 10•10, which would come out to 100 dog toys.

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