The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes?

The Graph To The Right Is The Uniform Probability Density Function For A Friend Who Is X Minutes Late.(a)

Answers

Answer 1

Using the uniform distribution, it is found that:

a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

b) Within 9 minutes.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

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

The probability of finding a value between c and d is:

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

Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.

Item a:

[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]

There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.

Item b:

This is x for which P(X < x) = 0.3, hence:

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

[tex]0.3 = \frac{x}{30}[/tex]

[tex]x = 9[/tex]

Within 9 minutes.

To learn more about the uniform distribution, you can check https://brainly.com/question/13889040


Related Questions

least common denominator
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Answers

Answer:

6x^2

Step-by-step explanation:

The LCD of x and 6x^2 is 6x^2

list down all the subsets of a set A={a, b, c, d}. What is the answer? ​

Answers

Answer:

The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}

A bag contains some red, blue, and green marbles. 30% of the marbles are blue and 40% of the marbles are green If there are a total of 150 marbles in the bag how many marbles are red?​

Answers

Answer:

45

Step-by-step explanation:

If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150

We do (30/100)*150 which equals 45.

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Answer:5x because ie d ecaied d

Help please I don’t understand

Answers

The height of the object after 1 sec is 284 feet

Equation of height of an object

Given the equation of height of an object expressed as:

h(t) = -16t^2 + 300t

We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression

h(t) = -16t^2 + 300t

h(1) = -16(1)^2 + 300(1)

h(1) = -16 + 300

h(1) = 284ft

Hence the height of the object after 1 sec is 284 feet

Learn more on maximum height here: https://brainly.com/question/12446886

I need help please please

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Answer:

reflection then transition

Step-by-step explanation:

because ummm for it to get to one it is reflected then to get to 3 it is transitioned

Answer:

B

Step-by-step explanation:

Reflects over y and translates 4 to the left

Complete each exercise.
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1. 1, 7, -1, -7

Answers

Answer:

-7 -1 ,1 ,1 .7

Step-by-step explanation:

Suppose y varies directly as x, and y=8 when x=2 find when x=21

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81 is what Y will be

Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16

Answers

Answer: B

Step-by-step explanation:

Mark has $16 more than Becca. Represent how much money Mark has

Answers

Answer:

ok so.... how much does money Becca have? however much that is add 16 to it and that should be the amount of money mark has.

Step-by-step explanation:

11) V = tr2h solve for r2​

Answers

Answer:

[tex]r^{2}=\frac{V}{\pi h}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables do that:

Underline the variableSeparate it one side and the other terms on the other sideMake its coefficient equal to 1

Let us use these steps to solve our question

∵ V = πr²h

→ Underline r²

∴ V = πh

→ Take π and h to the other side by dividing both sides by πh

∵ [tex]\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}[/tex]

∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]

→ The coefficient of r² is 1, so switch the two sides

∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]

Cameron has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $200.75.
He buys 4 bicycle reflectors for $12.29 each and a pair of bike gloves for $20.49.
He plans to spend some or all of the money he has left to buy new biking outfits for $70.25 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Cameron can purchase while staying within his budget.

Answers

Answer:

1626.03

Step-by-step explanation:

u add all of them but u multiply 4 x 12.29 after u get the answer u add all of them and ur final answer is 1626.03

You are making​ gluten-free baked goods for a bake sale. One type of​ gluten-free flour costs​ $7 for a​ 3-pound bag. You can spend at most​ $28. Let n be the number of​ 3-pound bags of​ gluten-free flour you can buy. Write an inequality that represents the situation.

Answers

Answer:

Step-by-step explanation:

The answer to your question is  7n ≤  28

Data

Cost of 1 bag = $7

The maximum amount of money spent = $28

n = number of 3-pound bags

Process

- We know that the amount spent must be at most = $28, so we use the symbol ≤.

- The money spend is the price of one bag times the number of bags bought.

- Then the inequality is

                                     7n ≤ 28

Daneesha is the head chef at a restaurant. She combines the olive oil from three equal-sized bottles. One bottle is 2/3 full. Another bottle is 1/2 full. The third bottle is 1/3 full. What is the total amount of olive oil Daneesha combines?

Answers

Answer:

the answer is 1 1/2 bottles

Step-by-step explanation:

Brainliest if correct

Answers

Answer:

9.1031 < 9.208 < 9.23 < 9.3

Step-by-step explanation:

Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number

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Let f(x) = x2 + 2x + 1 and g(x) = X - 4.
Identify the rule for f•g.

Answers

Answer:

(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).

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Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?

Answers

Answer:

n= 15

Step-by-step explanation:

what is their combined weight?

If y = 20 inches, z = 21 inches, and h = 11 inches, what is the area of the object?

Answers

Answer:

1742 inches squared

Step-by-step explanation:

Surface Area = 2×(20×21 + 20×11 + 21×11) = 1742 inches2

What is the area of a square with sides 12 m?

Answers

Answer:

144m²

Step-by-step explanation:

area is equal to side×side

side=12

=12×12

=144m²

Answer:

[tex]144m^{2}[/tex]

Step-by-step explanation:

Square = length * width

As everyone knows that the length and width of a square are the same, 12 times 12 equals 144.

Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?​

Answers

Answer:

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

Step-by-step explanation:

Relative Speed

If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.

Both trains travel toward each other, which means their speeds are of opposite signs.

Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.

To calculate the time they take to meet, we apply the formula:

[tex]\displaystyle t=\frac{x}{vr}[/tex]

[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

Find the slope of the line through each pair of points.
a)( -7 , 16 ) , ( 4 , - 4 ) b) ( -5 , -20 ) , ( -12 , - 10 )

Answers

Answer:

a) -20/11 b) -10/7

Step-by-step explanation:

a) m=(y2-y1)/(x2-x1)

m=(-4-16)/(4-(-7))

m=-20/(4+7)

m=-20/11

b) m=(y2-y1)/(x2-x1)

m=(-10-(-20))/(-12-(-5))

m=(-10+20)/(-12+5)

m=10/-7

m=-10/7

The Bakers want to sell their house for $145,500. After 2 months, the Bakers decided to mark down the price of their house 8% to sell more
quickly. How much are the Bakers selling their house for now?

Answers

Answer:

133 860

Step-by-step explanation:

145 500 x 0.92=133 860

Answer:

133860

Step-by-step explanation:

8 percent is 11640 so you subtract that from the original price

316₇ written in base 10 =​

Answers

The number [tex]316_7[/tex] is 316 in base seven

The number 316 in base seven is 160 in base ten

How to convert the base to base 10

To convert to base 10, we make use of the product rule.

So, we have:

[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]

Evaluate the exponents

[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]

Evaluate the products

[tex]316_7 = 147 + 7 + 6[/tex]

Evaluate the sum

[tex]316_7 = 160[/tex]

Hence, the number 316 in base seven is 160 in base ten

Read more about number base at:

https://brainly.com/question/10873737

If k(x) = 5x - 6, evaluate (k + k) (3).

Answers

The answer is 30x-36

which of the following should not be used as a guideline for making a purchase​
A. you budgeted for it
b. you can afford it
c. you need it
d. you want it

Answers

Answer: d.) You want it

Step-by-step explanation:

People want a lot of things that they don't really need, can't afford, and haven't budgeted for.

That how they build debt that may take years to pay off!

Answer:

Which of the following should not be used as a guideline for making a purchase?

a.  ) You budgeted for it.

b. )  You can afford it.

c.)   You need it.

d.  )  You want it.  <<<---Correct

Step-by-step explanation:

Edge 2021

How do you find the surface area of "most" 3D solids?

Answers

Surface area is the sum of the area of all faces

[tex] \rm \lim_{k \to \infty } \sqrt[ k]{ \Gamma \bigg( \frac{1}{k} \bigg)\Gamma \bigg( \frac{2}{k} \bigg)\Gamma \bigg( \frac{3}{k} \bigg) \dots\Gamma \bigg( \frac{k}{k} \bigg)} \\ [/tex]​

Answers

We have

[tex]\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)[/tex]

and as k goes to ∞, the exponent converges to a definite integral. So the limit is

[tex]\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}[/tex]

PLLEASEEE HELP !!!!!

In this arithmetic sequence, what is the common difference?

11, 8, 5, 2, ...

Answers

Answer:

-3

Step-by-step explanation:

11-3=8

8-3=5

5-3=2

hope this helps!!

If the inflation rate doubles, does the percentage decrease in buying power also double? If not, is the new percentage decrease in buying power more than twice the old one or less than twice the old one? Interpret your answer.

Answers

Answer: It doubles

Step-by-step explanation:

Inflation erodes the value of a currency thereby reducing the purchasing power that customers have as they will only be able to buy less gods and services for the same amount as before.

An increase in inflation is directly proportional to a decrease in purchasing power which means that if the inflation rate doubles, the decrease in purchasing power doubles as well.

For instance, if inflation is 10%, the value of a dollar becomes 0.9c. If Inflation doubles to 20%, the dollar goes to 0.8c. Meanwhile the purchasing power would have gone from $1 to 0.8c which would translate to a 20% decrease.

A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Show your work.

Answers

Answer:

250,000 papers

Step-by-step explanation:

500 papers : $4

x     papers : $2000

Cross-multiply:

500 * 2000 = 4x

 1,000,000 = 4x

          / 4     = / 4

    250000 = x

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