The annual amount of rainfall in Ventura County is bounded by 6.3 and 20.5, is continuous and each outcome is equally likely. Use this information to answer the following four questions.

a. Determine P(10.2 < x < 18.7).
b. Determine P(x > 17.1).
c. Determine P(x < 6.3).
d. What is E[x]?

Answers

Answer 1

Answer:

a.0.5984

b.0.2394

c.0

d.13.4

Step-by-step explanation:

We are given that

a=6.3,b=20.5

The pdf of uniform distribution

[tex]f(x)=\frac{1}{b-a}=\frac{1}{20.5-6.3}=0.0704[/tex],6.3<x<20.5

            0, otherwise

Now,

a.

P(10.2<x<18.7)=[tex]\int_{10.2}^{18.7}f(x) dx[/tex]

[tex]=0.0704[x]^{18.7}_{10.2}[/tex]

[tex]P(10.2<x<18.7)=0.0704(18.7-10.2)=0.5984[/tex]

b.P(x>17.1)

[tex]P(x>17.1)=\int_{17.1}^{20.5}0.0704dx[/tex]

[tex]=0.0704(20.5-17.1)[/tex]

[tex]=0.2394[/tex]

c.P(x<6.3)=0

d.E[x]=[tex]\frac{a+b}{2}=\frac{6.3+20.5}{2}=13.4[/tex]


Related Questions

PLEASE HELP I WILL GIVE BRAINLIST I’m stressing out because I don’t get it, thank you!

Answers

Answer:

LINE B OR D

Step-by-step explanation:

i hope i could help... not 100%!! <3

The students at Job's high school

were surveyed to determine their

favorite foods. The results are shown

in the table below. Suppose students

were randomly selected and asked

what their favorite food is. Find the

probability of each event. Write as a

fraction in simplest form.


Favorite Food Responses

Pizza 19

Steak 8

Chow-mein 5

Seafood 4

Spaghetti 3

Cereal 1


16. P(steak)

17. P(Spaghetti)

18. P(cereal or seafood)

19. P(not chow-mein)

19. P(pizza)

20. P(cereal or steak)

21. P(not steak) 22. P(not cereal or seafood)

23. P(chicken) 24. P(chow mein or spaghetti)

Answers

Maybe pay attention to school and u would know

so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)​

Answers

52/100 X 175



Solve it

Answer:

84

Step-by-step explanation:

52%of math problem are pointless

52%of math problem = pointless

52% of 175

(52/100)×175

91 =pointless

math problem - pointless =not pointless

175 - 91 = 84

HELP ASAP! Brainliest for correct answer!

Answers

Answer : 20% probability

Answer:

30

i hope it helps

Can someone help? I don't understand the equasion

Answers

Answer:

a = 1/6

Step-by-step explanation:

To solve, divide both sides by 5 1/4

a = 7/8 / (5 1/4)

a = (7/8) / (21/4)

a= 7/8 * 4/21

a= 28/168

a= 1/6

3x + 1 = -2 (solve for x)

Answers

Answer:

x = -1

Step-by-step explanation:

3x + 1 = -2

Subtract 1 from both sides.

3x = -2 - 1

Simplify -2 - 1 to 3.

3x = -3

Divide both sides by 3.

x = -1

Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.

Answers

Answer:Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

1 because the other 3 make no sense because it 4 wouldn’t be congruent on the other planes and number 3 0 is on the other axis
Deez nurs

PLZZ HELP !! Select the correct answer. What are the zeros of the function y= (x-4)(x^2 - 12x+36)
A. -6,4 and 6
B. 4 and 6
C. -6 and -4
D. 0, 4, and 6​

Answers

It’s B. 4 and 6
If I’m not wrong

The zeroes of any function are where the function touches or passes through the x-axis.

To find these zeroes, we can factor, and set each part equal to 0.

y = (x - 4)(x^2 - 12x + 36)

It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.

y = (x - 4)(x - 6)(x - 6)

Finally, set each part equal to 0!

x - 4 = 0

x = 4

x - 6 = 0

x = 6

x - 6 = 0

x = 6

Therefore, the zeroes of the function are 4 and 6, option B.

Hope this helps!! :)

please brainlist who ever answers

Answers

Answer:

190 square inches

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

Jasper Diaz apostrophe Balance Sheet. Total assets are 15,800 dollars. Total liabilities are 4,400 dollars.
Consider Jasper’s balance sheet.

What is the total value of Jasper’s assets?


What is the total value of Jasper’s liabilities?

Answers

Answer:

the total value of jaspers assets is:  $15,800

the total value of jaspers liabilities is: $4,400

Step-by-step explanation:

Answer:

the total value of jaspers assets is:  $15,800

the total value of jaspers liabilities is: $4,400

Step-by-step explanation:

hope this helps :D

what is $7.50 with a added 6% sales price.​

Answers

Answer:

0.0125 dollars per sales

hope this helps

Step-by-step explanation:

Answer:

7.89 i believe i looked it up

When Max got home from school yesterday, he went into the kitchen to get a snack. There was 3/4 pan of brownies on the counter. Max ate 1/4 of what was left. What part of the pan of brownies did Mark eat?

Answers

Answer:

1/2

Step-by-step explanation:

3/4-1/4=1/2

Please help and thank you

Answers

Answer:

in lowest term it's

Step-by-step explanation:

10/33

Answer:

10 : 33

Step-by-step explanation:

Both 20 and 66 are multiples of 2.

20 = 2 x 10

66 = 2 x 33

So, this ratio becomes 2 x 10: 2 x 33

Dividing both sides by 2 gives us 10:33, which can't be simplified further.

To practice for an Ironman competition, John swam 0.86 kilometer each day for 3 weeks. How many meters did he swim in those 3 weeks?

Answers

Step-by-step explanation:

rhehdjvjdjdisjfjehsugjdjsjcjfi

Answer:

18,060

Step-by-step explanation:

0.86 kilometers is the same as 860 meters. If he swam 860 meters a day for twenty-one days, (860 times 21) he'd end up with 18,060 meters in total.

(That's about 722 1/2 lengths of a pool, but you didn't need to know that :P )

5x - 10y=-20
5x + 3y = 6
Show work

Answers

Answer:

5x -10y= -20

5x + 3y = 6

-(5x + 3y=6)

5x-10y=-20

-5x-3y=-6

-10y  -3y = -20 -6

-13y=-26

y= -26/-13

y=2

5x-10(2)=-20

5x-20=-20

5x=-20-20

5x=-40

x= -40/5

x= -8, and y= 2

SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.

Answers

Answer: Present age = 12 yrs old

Explanation:

Let x be the present age

x + 12 = 3(x - 4)
x + 12 = 3x - 12
x - 3x = -12 - 12
-2x = -24
x = -24/-2
x = 12

Explain the similarity and differences of standard normal distribution and a normal distribution. 

Answers

Answer:

Okau

Step-by-step explanation:

Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.

PLEASE NEED HELP aS FASt

Answers

Answer:

The second choice

Step-by-step explanation:

The second choice is correct because:

1.5*4=6

How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(

Answers

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

what are the coordinates of point h?​

Answers

-1,3 that’s easy u should definitely pay attention in class

Answer:

(-1.5, 3) are the coordinates of point h

iGIVEEEEEEEEEEEEEEEEE BRAINLILSTTT

Answers

Answer:

first box (x): 10

second box (y): 12

Step-by-step explanation:

HIJ is a translation of HIJ

translation just means you move the whole thing without any rotations dialations ect just moving it

from the blue shape it is asking what do you have to do to the x and y to get to the purple shape

you have to go +_x and take away _y

when you add a digit to x it moves to the right

when you add a digit to y it goes one up

because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer

im going to use J

on the blue J you can see the x value is -8

the purple J's value is 5

to get from -5 to 5 you add 10

-5+5=0

0+5=5

5+5=10

therefore the first box (x) is 10

same thing for the y value im going to use J again

blue y value of J is 7

purple y value of J is -5

their distance is 12

7-7=0

0-5=-5

7+5=12

second box (y) is 12

i hope this helps

Identify the variable in the algebraic expression.
5x + 13

Answers

Answer:

x

Step-by-step explanation:

The definition of a variable is an unknown quantity, usually represented by a letter.

The variable in the algebraic expression 5x + 13 will be 'x'.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ 5x + 13

Now,

Since, The algebraic expression is,

⇒ 5x + 13

Hence, The variable of the algebraic expression = x

Therefore, The variable in the algebraic expression 5x + 13 = x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?


A $108
B $96
C $162
D $180
ASAP PLEASEEE

Answers

Answer:

A $108

Step-by-step explanation:

40% = .4

.4 * 270 = 108

Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.


(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help

Answers

Answer:

[tex]1\ meter = 1.094\ yard[/tex]

Step-by-step explanation:

Given

[tex]1\ yard = 0.914\ meter[/tex]

Required

Create a convert meter to yard expression

[tex]1\ yard = 0.914\ meter[/tex]

Divide both sides by 0.914

[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]

[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]

[tex]1.09409190372\ yard = 1\ meter[/tex]

[tex]1\ meter = 1.09409190372\ yard[/tex]

[tex]1\ meter = 1.094\ yard[/tex] --- approximated

Answer:

Step-by-step explanation:

ANSWER FAST PLS HAVE 5 MIN FOR THIS


Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x

Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

H+4.78=8.02 evaluate

Answers

Answer:

h=3.24

Step-by-step explanation:

Four co-workers contributed $2.58, $10.20, $19.89, and $12.89 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift?

Answers

Answer:

the answer is $45.56!

Step-by-step explanation:

you just have to add all of there amounts to find how much money they have

Find the value of each variable.

Answers

Ummm What variables

I bought a pizza Alexis ate 3/4 of the pizza how much pizza do I have left???

Answers

Answer:

8/7 left, Hope i helped :)

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyuujuuju

Step-by-step explanation:

HI dude was good

Enter 72% as a fraction in the simplest form

Answers

Answer:

18/25

Step-by-step explanation:

72% = 72/100

72/100 simplified

=18/25

it would be 72/100 but then simplified to 36/50 but then simplified again to be 18/25
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