Records indicate that the daily high January temperatures on a tropical island tend to have a uniform distribution over the interval from 75°F to 90°F. A tourist arrives on the island on a randomly selected day in January.

a. What is the probability that the temperature will be above 80°F
b. What is the probability that the temperature will be between 80°F and 85°F 
c. What is the expected temperature?

Answers

Answer 1

Answer:

a) 0.6667 = 66.67% probability that the temperature will be above 80°F.

b) 0.3333 = 33.33% probability that the temperature will be between 80°F and 85°F.

c) The expected temperature is of 82.5ºF.

Step-by-step explanation:

Uniform distribution:

The probability of all outcomes between a and b is the same.

Uniform distribution over the interval from 75°F to 90°F.

This means that [tex]a = 75, b = 90[/tex]

a. What is the probability that the temperature will be above 80°F?

We have that, on the uniform distribution:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this question:

[tex]P(X > 80) = \frac{90 - 80}{90 - 75} = \frac{10}{15} = 0.6667[/tex]

0.6667 = 66.67% probability that the temperature will be above 80°F.

b. What is the probability that the temperature will be between 80°F and 85°F?

We have that:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Then, in this question:

[tex]P(80 \leq X \leq 85) = \frac{85 - 80}{90 - 75} = \frac{5}{15} = 0.3333[/tex]

0.3333 = 33.33% probability that the temperature will be between 80°F and 85°F.

c. What is the expected temperature?

The expected value of the uniform distribution is:

[tex]E = \frac{a + b}{2}[/tex]

In this question:

[tex]E = \frac{75 + 90}{2} = 82.5[/tex]

The expected temperature is of 82.5ºF.


Related Questions

Readin
Look at the two sums shaded in the addition table. Why are the sums the same?
+
0
1
2 3
4
5
because
5 x 9 = 9 x 5
0
1
2
because 9 is greater
than 5
unwN -
because
5 +9= 9+5
WNO
0 00 von A
6 7 8 9 10
3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
because 5 and 9 are
both odd numbers
6
7
8
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19 20

Answers

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

 

Step-by-step explanation:

Can someone answer this please

Answers

Answer:

40

Step-by-step explanation:

The first step is to calculate x

because it's a straight line all angles must add up to 180

we can write the following equation

(3x+94)+(x+30)+(2x-4)=180

6x+120=180

6x=60

x=10

Now to solve for COD just plug in 10 for x+30

10+30=40

Choose the graph of the following function

Answers

Answer:

b

Step-by-step explanation:

find the other perimeter

Answers

Answer:

28.56

Step-by-step explanation:

6+10+ (3.14×8)/2

= 16 + 12.56

= 28.56 ft

Rodas is standing 100 feet from the Eiffel Tower and sees a bird land on the top of the tower (he has really good eyes!). If the angle of elevation from Rodas to the top of the Eiffel Tower is close to 84.6°, how tall is the tower? Round to two decimal places.

Answers

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

What is the greatest common factor (GCF) of 25 and 35​

Answers

Answer:

15

Step-by-step explanation:

The GCF of 25 and 35, is 15

Answer:

5

Step-by-step explanation:

Use the L method or the tree method. If you go through your numbers and see which number can divide both 25 And 35, you should find 5 because both of them end in 5 Since anything is divisible by 5 if it has a 0 or a 5 as the ones.

If you also needed help with the LCM, it is, keep one of the fives and divide the other to get rid of the five, then multiply them all together, so 25 * 7 = 175.

.
Subtract
11/12 - 5/8
Enter your answer below as a fraction in lowest terms, using
the slash ( / ) as the fraction bar.

Answers

Answer: 7/24

Step-by-step explanation:

11/8 - 5/8=

= 11/8 - 5/8

= 11/12 + -5/8

= 22/24 + -15/24

= 22 + -15//24

= 7/24

decimal form = 0.291667.

two step equations −10 = 10(k − 9) solve

Answers

Answer:

k=8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

The answer is eight.

A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 ar...

Answers

Answer:

1/6

Step-by-step explanation:

Step-by-step explanation:

Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolate. If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate ...

Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

The solution to the two functions is (1,4) The intersection represents the number of people entering the park and the number of people leaving the park is the same when the temperature increases by 1 degree.

can you just please click on this and help

Answers

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Answers

This question is incomplete, the complete question is;

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)

a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)

b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).

Answer:

a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000

b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Step-by-step explanation:

Given that;

We have a total of 10 colored balls  in a small bucket.

Number of Red balls = 5

Number of White balls = 2

Number of blue balls = 3.

Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.

Also, Assuming that the color of ball that appeared is Red.

Then the probability of selecting the color of ball ( RED ) that I just selected will be;

P( selected Color ) = Number of Red balls / Total number of balls in the bucket

P( selected Color )  = 5 / 10 = 0.5000

Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000

b)

It is said that the game is Pick-A-Ball without replacement.

So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.

Also, Assuming that the color of ball that appeared was blue.

Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;

P( selected Color ) = Number of Blue balls / Total number of balls in the bucket

Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.

so; P( selected Color ) = 3 / 9 = 0.3333

Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Without plotting these numbers, decide which inequalities are true. Check all that apply.
[tex] \sqrt7 > 2[/tex]
[tex] \sqrt7 >7[/tex]
[tex] \sqrt7 < 8[/tex]
[tex] \sqrt8 < 2[/tex]
[tex] \sqrt8 < 8[/tex]

Answers

Answer: √7 = 2.6

1. 2.6 > 2 V

2. 2.6 > 7 X

3. 2.6 < 8 V

4. √8 = 2.8 2.8 < 2 X

5. 2.8 <8 V

Step-by-step explanation:

V: mean correct

X: mean wrong

Which is the composite function for the price a loyalty
member would pay based on the original price, x?
ne
An
C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
C(L(x)) = 0.7225x

Answers

Answer:

[tex](d)\ L(S(x)) = 0.7225x[/tex]

Step-by-step explanation:

Given

[tex]S(x) = 0.85x[/tex] ----- Sales price

[tex]L(S) = 0.85S[/tex] ---- Loyalty member discount

Required

This is represented as: L(S(x))

So, we have:

[tex]L(S) = 0.85S[/tex]

Substitute S for S(x)

[tex]L(S(x)) = 0.85S(x)[/tex]

Substitute [tex]S(x) = 0.85x[/tex]

[tex]L(S(x)) = 0.85*0.85x[/tex]

[tex]L(S(x)) = 0.7225x[/tex]

The composite function for the price a loyalty  member will be "C(L(x)) = 0.7225x".

According to the question,

Sales price, [tex]S(x) = 0.85 x[/tex]Loyalty member discount, [tex]L(S) = 0.85S[/tex]

By substituting the "S" for "S(x)", we get

→ [tex]L(S(x)) = 0.85 S(x)[/tex]

By substituting the value of "S(x)", we get

→ [tex]L(S(x)) = 0.85\times 0.85 x[/tex]

→               [tex]= 0.7225 x[/tex]

Thus the above answer is right.

Learn more about composite function here:

https://brainly.com/question/5614233

help me plzzzzzz!!!!!!!​

Answers

42 i think i may be wrong

Help pls!

(The question are in the image)
A. -1/p
B. 0
C. 1
D. p

Answers

It would probably be C
C I’m pretty sure lol

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
(this is a big part of my grade)

Answers

answer: B
x+2.6=10.4
x=7.8
the solution (x=7.8) means that Mai had 7.8 liters of water before they added the 2.6 liters to equal 10.4 in total.

You roll 2 dice. What is the probability of getting two 5's?

Answers

The coment before me is super funny lol
The heck burger burger burger burger burger burger

The terminal ray of an angle passes through the point (16,–12). What is the value of sine for this angle?​

Answers

Answer:

-3/5

Step-by-step explanation:

Given :-

The terminal ray of an angle passes through the point (16,–12).

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

[tex]:\implies[/tex] = +

[tex]:\implies[/tex] = 16² + 12²

[tex]:\implies[/tex] = 256 + 144

[tex]:\implies[/tex] = 400

[tex]:\implies[/tex] h = 20 u

Therefore the sine will be :-

[tex]:\implies[/tex] sinθ = p/h

[tex]:\implies[/tex] sinθ = 12/20

[tex]:\implies[/tex] sinθ = 3/5

And it is in third quadrant so , sine will be negative .

[tex]:\implies[/tex] sinθ = -3/5

Therefore the value of sine is -3/5.

how to solve this equation by step

12f=216​

Answers

Answer:

18

Step-by-step explanation:

You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.

12f/12=216/12

F=18

I hope this helps

Hannah placed 10 cups outside during a rainstorm. After one hour she measured, in inches, the amount of water in each cup. The table shows the
measurements.
Cup Number 1 2 3 4 5 6 7 8 9 10
Inches
3 1 31 SS!
82248 22 882
Which line plot correctly displays the data from the table?
Amount of Water
Amount of Water
X
OA
Inches
Inches
Amount of Water
Amount of Water
OB.
Х
inches
inches

Answers

A line plot which correctly displays the data from the table is: graph B.

What is a line plot?

A line plot simply refers to a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data displayed in the table above, we can deduce the following points:

Cup size in inches (⅜) = 2.Cup size in inches (½) = 5.Cup size in inches (⅝) = 2.Cup size in inches (¾) = 1.

In conclusion, graph B is a line plot which correctly displays the data from the table above.

Read more on line plot here: https://brainly.com/question/8989301

#SPJ1

Customers blah blah blah blah

Answers

Answer:

blah

Step-by-step explanation:

blah + blah = blah

blah x blah = blah

blah / blah = blah

blah - blah = blah

Select the correct answer.
Using a table of values, approximate the solution to the equation below to the nearest fourth of a unit.

Answers

Answer:

3

Step-by-step explanation:

Answer:

Correct  Answer for Plato is (3)

Step-by-step explanation:

#Platolivesmatter :)

Hope This Helped XD

Fyi I took the test and got it right too

Plato!! Please help!!!

Answers

Answer:

[tex]a =7[/tex]   [tex]b = 2[/tex]  [tex]c = -4[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Required

Find a, b and c

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Take LCM

[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Expand

[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Collect like terms

[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

By direct comparison:

[tex]ax^2= 7x^2 \to a = 7[/tex]

[tex]bx = 2x \to b = 2[/tex]

[tex]-4 = c \to c = -4[/tex]

he tall locome
wel te te kinoel
Personal
q
46
Each child
Dependant Rektua
Imurence
the
was lared d
Cloulate,
CA
6 his income
monthly faceable income
next monthly Pay​

Answers

What chsjsiahsjsiaosijxsjsj nfjsjshchc

Using the diagram below, classify the angle pair ∠CDL and ∠FDE

Answers

Answer:

Best shot would be with vertical angles.

It wouldn't be adjacent angles because the two angles don't have an overlapping side.

It also can't be complementary/supplementary angles because they don't add up to 90* or 180* degrees.

However, Angle CDL creates vertical angles with Angle FDE with Angles FDC and EDL.

Hope that helps.

50
Σ (4n - 1) = [? ]
1

Answers

Answer:

5050

Step-by-step explanation:

A small fish tank is filled to the top with water. If the tank measures. 15 cm by 10 cm by 10 cm, what is the volume of water in the tank? Express your answer in mL

Answers

Cool cool cool 35 ML

Find the mode(s) of the data set. 92, 97, 92, 96, 98, 94 0 98, 92 92 no mode​

Answers

Answer:

92

Step-by-step explanation:

92 appears the most

Answer:

92 is the mode because is the most occurring number. 92 appear 4times

what is the cordinate of the midpoint of GO ? plss help me​

Answers

Answer:

24 ;] ;] ;]

Step-by-step explanation:

from spongebob

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