The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 25 minutes, what is the probability that X is less than 28 minutes

Answers

Answer 1

Answer:

0.674

Step-by-step explanation:

Given that :

Average value (m) = 25

P(x < 28) = ∫1/m * e^-x/m (interval 28 to 0)

P(x < 28) = ∫1/25 * e^-x/25 (interval 28 to 0)

P(x < 28) = 1/25( (e^-x/25) / (- 1 / 25))(interval 28 to 0)

1/25( (e^-x/25) * (- 25/ 1)) (interval 28 to 0)

(e^-x/25) x = 28 ; x = 0

e^(-0/25) - e^(-28/25)

e^0 - e^(-28/25)

1 - 0.3262797

= 0.6737202

= 0.674


Related Questions

Find the tangent ratio of angle A. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Reduce fraction when necessary.

Answers

Tan A =27/36=3/4=0,75

Determine whether each equation represents a proportional relationship. Check all that have a proportional relationship.
A. y = 0.5x + 2
B. y = 1,000x
C. y = x + 1
D. y = 17x

Answers

Answer:

B and D represent a proportioonal relationship.

Step-by-step explanation:

In order for an equation to be proportional, it must be in the form of y = kx.

What is school

WRONG ANSWERS ONLY
MAKE THE ANSWER A LONG ANSWER
EXPLAIN HOW YOU GOT YOUR ANSWER
MAKE IT KINDA MAKE SENSE
I WILL GIVE BRAINLIEST

Answers

Answer:

A hotdog

Step-by-step explanation:

School is like a hotdog all students are the weenies while the buns are the walls of the school. PERIODT.

Answer:

A jail

Step-by-step explanation:

WE eat a lot worse than prisoners we are forced to memorize stuff which is horrible.

In the expression 2x-5 identify the following parts

Answers

Answer:

x is a variable

-5 is a constant

2 is a coefficent

:)

The approximate number of Calories, C, that an animal needs each day is given by C = 72m^3/4, where m is the animal's mass in kilograms. Find the number of
Calories that a 16 kilogram dog needs each day.
Show all work for this problem on a separate sheet of paper to turn in.
C=
Calories
someone plss helpp!?!!

Answers

Answer:

[tex]\huge\boxed{576 \ \text{calories}}[/tex]

Step-by-step explanation:

In order to find the number of calories that an [tex]m[/tex] kg animal weighs, we can substitute what we need inside the formula given, [tex]72m^{\frac{3}{4}}[/tex]. Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.

[tex]72\cdot 16^{\frac{3}{4}}[/tex]

BPEMDAS tells us that the order of solving equations is

Brackets

Parantheses

Exponents

Multiplication/Division

Addition/Subtraction

Looking at this order, we need to do [tex]16^{\frac{3}{4}}[/tex], then multiply by 72.

When we have a number to a fraction power, we need to note that

It's the same as taking the denominator root of the base to the numerator power

Therefore, our expression will be [tex]\sqrt[4]{16^3}[/tex].

[tex]16^3 = 4096[/tex] [tex]\sqrt[4]{4096} = 8[/tex]

Now that we have this much, we need to multiply it by 72 as our formula read [tex]72m^{\frac{3}{4}}[/tex].

[tex]72 \cdot 8=576[/tex]

Therefore, an animal weighing 16 kg needs to consume 576 calories.

Hope this helped!

What is the answer to: 4 2/3÷(-1 1/4)
A. 2.57
B. 7 20/21
C. 1/36

Answers

4 and 2/3 divided by (-1 and 1/4)
= 14/3 divided by -3/4
= 14/3 * 4/-3
= 56/-9

Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.

Answers

Answer:

The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.

This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result.  Whereas a union of two sets gives you all of the content of both.

The only time when an intersection is even equal to a union is when the two sets are identical.  If they aren't then the intersection will be smaller.

Hugo has $20. he spends n dollars.How much does he have left?​

Answers

Answer:

what is the n?

Step-by-step explanation:

1 point
Two lines meet at a point that is also the vertex of an angle. Set up an equation to find the value of x.
You may want to use the MathQuill Toolbar (fx) to write your equation.
270
65°
po

Answers

Answer: x = 30°, and y = 46°

Step-by-step explanation: If we take a look at the attachment below, we will find x = 30°, and y = 46°;

The answer is x = 30 and y = 46

The student council is making corsages to sell at prom. They spent $350 on materials such as
flowers, ribbons, elastic and pins. They are selling the corsages for $7.50 each. They need to
earn $700 to pay for prom decorations. Which inequality will determine the correct number of
corsages, c, that the class needs to sell to pay for the prom decorations?

Answers

Answer:

The inequality 7.50c - 350 ≥ 700 can be used.

Step-by-step explanation:

Given that:

Amount spent on materials = $350

Amount the council needs to earn = $700

Selling price per corsage = $7.50

Number of corsages sold = c

Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned

[tex]7.50c - 350 \geq 700[/tex]

Hence,

The inequality 7.50c - 350 ≥ 700 can be used.

Easy question: 9.75 x 3.5 = ? (15 points)

Answers

I think it’s 34.125, :)

In the expression 7g + 15, g is the
O coefficient
O variable
constant
operation

Answers

Variable means unknown number, therefore represented by a letter. G is the variable.

Can someone help me plz

Answers

1) slope is 1/4
2) slope is 6

Answer:

1. Slope=1/4

2. Slope =6

Step-by-step explanation:

If a=0 b=0 then complex number a+bi is what type NEED HELP THANKS

Answers

The answer is a. If there is an i in the equation, then that means “i” is imaginary.

Answer:

imaginary

Step-by-step explanation:

b ≠ 0 and a = 0

a + i b  ===> a -> real and b i is imaginary

Enter the difference as a mixed number

Answers

Answer:

The answer is 2[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

So you get 2 4/5

Answer:

28/10

Step-by-step explanation:

To make it easier, you can multiply the whole numbers by the denominators, and then add the numerator to the total. For the first one, do 4 x 10 = 40. Then add 5, and you get 45. The fraction will then be 45/10. For the second one, 1 x 10 = 10. Then add 7, and you get 17. The fraction will be 17/10.

Next, subtract the numerators because both of the denominators are equal. You then get 28/10 because 45 - 17 = 28.

28/10 is your mixed number fraction.

Hope this helped!

7). Kevin and his 8 friends made $1080 mowing lawns this summer. How. much money will each person get if they divide the money evenly? Write the equation and give the solution.​

Answers

Answer:

120

Step-by-step explanation:

Divide 1,080 by 9.

If you can help that will be good

Answers

He will have 2 toppings with one cheese pizza and have a remainder of 75 cents

six increased by two times the difference of four
and two times a number.
In translated expression

Answers

16x

Step-by-step explanation:

6 increased by 2 --> 6+2

difference of 4 and 2 --> 4-2

first part times the second part --> 6 + 2 (4-2)

times a number --> • x

put it all together --> (6+2)(4-2) • x or 16x

mr dayton uses 8 cups of flour to make three identical loaves of bread how much flour is in each loaf

Answers

Answer:

4!

Step-by-step explanation:

Hope this helped

What is the volume of a box with width 2 2/3 inches, length 3 1/3 , inches, and height 2 1/3. inches?​

Answers

Answer:

It is 20.74 and the fraction way it is 20 20/27

A company hired 15 new employees. They want to randomly assign 4 of them to work in the graveyard shift. In how many ways can this assignment be made

Answers

Answer:

This assignment can be made in 1365 ways.

Step-by-step explanation:

The order in which the shifts are assigned is not important. For example, employees A, B, C, D and D,C,B,A being assigned is the same thing. So, we use the combinations formula to solve this question.

Combinations Formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Assignment of 4 employees, from a set of 15. So

[tex]C_{15,4} = \frac{15!}{4!(15-4)!} = 1365[/tex]

please help asap!!!!!!!

Answers

Answer:

v=20

you set IH and FG equal to each other and solve

What is (-3x^3 y^2)^-1

Answers

Answer:

-1/3^3y^2

Step-by-step explanation:

Lamar roasted Franklin 9 times on monday Lamar roasted Franklin 12 times on Tuesday, How many times did Lamar Roast Franklin in Total?

Answers

Answer:

21 times

Step-by-step explanation:

Answer:

about 420 times

Step-by-step explanation:

9×12=108 plus the amount of dollars Lamar gained from roasting Franklin, which was approximately $312 therefore they were both high when this took place

Factor 18x + 30 using the GCF

Answers

Answer:

6 (3x+5) GCF= 6

Step-by-step explanation:

The speed of light is 3 x 10 8 meters per second (m/s). What is the speed of light in miles per year (mi/yr)

Answers

Answer:

the  speed of light in miles per year is 5.88 × 10^12 mi / year

Step-by-step explanation:

The computation of the speed of light in miles per year is shown below;

As we know that

1 m/sec = 1 ÷ 1609  mi/sec

3 ×10^8 m/sec = (3 × 10^8) ÷ (1609)

= (3 × 10^8 × 60 × 60 × 24 × 365) ÷ (1609)

= 5.88 × 10^12 mi / year

Hence, the  speed of light in miles per year is 5.88 × 10^12 mi / year

A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The sampled bulbs last an average of 260 days, with a standard deviation of 90 days. If the CEO's claim were true, what is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Answers

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when [tex]X = 260[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260 - 270}{21.2}[/tex]

[tex]Z = -0.47[/tex]

[tex]Z = -0.47[/tex] has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

if the radius is 2 inches, what is the diameter ​

Answers

Answer:

[tex]d=2r[/tex]

Step-by-step explanation:

[tex]d=2*2[/tex]

[tex]d=4[/tex]

(3b) Write a multiplication equation that corresponds to this division equation.
4.5 divided 3 = ? *

Answers

Answer:

?⋅3=4.5 or 3⋅?=4.5

Janet's recipe calls for 3 cups of flour for every 2 cups of sugar. How much sugar does
Janet need, when she uses 9 cups of flour?
a) 6 cups b) 2⁄3 cup c) 8 cups d) 5 cups

Answers

Answer:

a) 6 cups

Step-by-step explanation:

Use a ratio equation to solve:

3/2 = 9/x

Cross multiply to get:

3x = 18

Solve for x:

x = 6

Answer: a) 6 cups

Step-by-step explanation: The 3 cups to get to 9, is really double the amount, so if you double 3 then you double 2 and get 6. 3*2=6

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