Use multiplication to find 4% of 2,475.

4% of 2,475 is ______

Answer:

attached below

Step-by-step explanation:

Assuming that Y1 and Y2 are independent exponential random variable with mean 3

where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution

i.e. ∝ = 2 , and β = 1

note : U = 2X

Hence probability distribution function X =

Fx (x) = p( X ≤ x )

= p( U ≤ 2x )

= Fu (2x)

probability density function  X

f (x) = [tex]\frac{dF(2x)}{dx}[/tex]  = 2 Fu (2x)

attached below is the remaining part of the solution

In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:

[tex]f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.[/tex]

[tex]f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.[/tex]

Assuming that [tex]Y_1[/tex] and [tex]Y_2[/tex] are independent exponential random variable where:

[tex]U = Y_1 + Y_2[/tex]

Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:

Hence probability distribution function X , will be:

[tex]F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)[/tex]

So we can say that:  

[tex]f (x) = \frac{dF}{du} = 2 F_u (2x)[/tex]

See more about probability at brainly.com/question/795909

Answer:

0.6 = 60% probability that the bead is RED or GREEN.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 9 + 8 + 3 = 20 beads.

Of those, 9 + 3 = 12 are red or green.

So, there is a [tex]\frac{12}{20} = 0.6[/tex] probability that the bead is RED or GREEN.

Answer: 8x3 to the 6th degree minus 4th5 odd one under.

Step-by-step explanation:

Answer:

Most likely 0.025

Verified with calculator :)

Answer:

7788 observations are expected to be below a value of 242.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 188, standard deviation = 18

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Percentage of observations below 242:

242 = 188 + 3*18

So 242 is three standard deviations above the mean

Of the measures below the mean, all are below 242.

Of the measures above the mean, 99.7% are between the mean of 188 and three standard deviations above the mean(242). So the percentage is:

[tex}P = 0.5 + 0.997*0.5 = 0.9985[/tex]

Number of observations below 242:

99.85% of 7800 observations

0.9985*7800 = 7788

7788 observations are expected to be below a value of 242.

Answer:

x = 4

Step-by-step explanation:

6x + 8 = 32

6x = 32 ‐ 8

6x = 24

x = 24/6

x = 4

Answer:

By adding 6 ounces of chemical B in the mixture

Step-by-step explanation:

Ratio of chemical A and B in compound

A/B=8/12

Ratio of chemical A and B in mixture

A/B=24/30

if we add 6 in denominator

A/B=24/36=8/12

Answer:

80 degrees is what I got im not 100 percent its right

Answer:

[tex]|A| = - 28[/tex]

Step-by-step explanation:

Given

[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]

Required

Determine the determinant

For a two by two matrix, A such that:

[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

The determinant |A| is:

[tex]|A| = a * d - b * c[/tex]

So, in

[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]

The determinant is:

[tex]|A| = -2 * 5 - 6 * 3[/tex]

[tex]|A| = -10 - 18[/tex]

[tex]|A| = - 28[/tex]

Answer:

The margin of error for a 99% confidence interval was of $1.84.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.325[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation(square root of the variance) and n is the size of the sample. In this question, [tex]\sigma = \sqrt{375}, n = 600[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}} = 2.325\frac{\sqrt{375}}{\sqrt{600}} = 1.84[/tex]

The margin of error for a 99% confidence interval was of $1.84.

Answer:

Hey there the answer is 370

Step-by-step explanation:

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

[tex]y = mx + b \\ y = - 2x + 5[/tex]

Consider the coefficients.

[tex]mx + b = - 2x + 5[/tex]

[tex]m = - 2 \\ b = 5[/tex]

Therefore, the slope is -2 and y-intercept is 5.

Answer:

Yes you do btw the answer is 1/2

Step-by-step explanation:

Answer:

I don't understand wat u said

Answer:

Step-by-step explanation:

im so unfused what subject if yall ask a question putt the subject

Answer:

[tex](x + 8)^2 = 55[/tex]

Step-by-step explanation:

Given

[tex]x^2 + 16x + 17 = 8[/tex]

Required

Get an equivalent equation

[tex]x^2 + 16x + 17 = 8[/tex]

Subtract 17 from both sides

[tex]x^2 + 16x + 17-17 = 8-17[/tex]

[tex]x^2 + 16x = -9[/tex]

Add 64 to both sides

[tex]x^2 + 16x + 64 = -9+64[/tex]

[tex]x^2 + 16x + 64 = 55[/tex]

Expand the expression on the left-hand side

[tex]x^2 + 8x + 8x + 64 = 55[/tex]

Factorize:

[tex]x(x + 8) + 8(x + 8)= 55[/tex]

[tex](x + 8)(x + 8)= 55[/tex]

[tex](x + 8)^2 = 55[/tex]

Answer:

First one is infinitely many solutions. Second one is One solution. The third one is No solution.

Step-by-step explanation:

First line both equations have the same line. second one are two completely different equations while the third one are parallel lines which never intersect.

Answer:The answer would be x^4 -16

Explanation: use the FOIL method.

(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.

F- irst

O- uter

I- nner

L- ast

Step-by-step explanation:Hope this helps

Answer:-

Option A

Step by step explanation :-

Distance between Springfield to Longmeadow is 3.8 km.

Adamsville to Springfield is 7.6 km.

Answer: Constant

Step-by-step explanation:

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

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]

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]

Probability:

[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]

10.34% probability that you both pick chocolate

Answer:

well then try to reinvert it an then x + - an divied it see how easy

Step-by-step explanation:

Answer:

7.30000088 x 10^8 or 730,000,088

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

Because to convert a percent to a decimal, you move the decimal to the right 2 times. You get 4% if you do that

Answer:

The possible outcomes are 1728.

Step-by-step explanation:

Consider the provided information.

We know that there are 12 months in a year and we have 3 people in a room.

As the order is important it means for each person we have 12 choices of the months.

The possible outcomes are: [tex]12\times12\times12=1728[/tex]

Hence, the possible outcomes are 1728.

answer:

9y

step-by-step explanation:

add 7 and 2 = 9 then add the y

Step-by-step explanation:

What do you need help with?

Answer:

yes

Step-by-step explanation:

if you follow the lines at the same time they stay doing the same thing