Help me out I’m trying to sleep :(

Answer:

B

Step-by-step explanation:

a. The probability of selecting a red ball from Urn A and then the probability of selecting a red ball from Urn B after one red ball has been transferred. b. The probability of selecting a red ball from Urn B, taking into account the transfer of one ball from Urn A. c. The probability that the first ball was red can be calculated using conditional probability.

a. To calculate the probability that both balls chosen are red, we multiply the probability of selecting a red ball from Urn A (2 out of 5) by the probability of selecting a red ball from Urn B (6 out of 7, since one red ball was added). So the probability is (2/5) * (6/7) = 12/35.

b. To calculate the probability that the second ball chosen is red, we consider that there are now a total of 6 red balls and 7 balls in Urn B. Therefore, the probability is 6/7.

c. To find the probability that the first ball was red given that the second ball is red, we use conditional probability. The probability that both balls are red (12/35) divided by the probability that the second ball is red (6/7) gives us (12/35) / (6/7) = 4/5. Therefore, the probability that the first ball was red given that the second ball is red is 4/5.

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Performing a mathematical calculation using an operator is called a mathematical operation, which includes basic operations such as addition, subtraction, multiplication, and division.

The table displays information about the old account balance, transaction amount, and new account balance. By solving the table, the missing number can be determined.

Account   Old Acc Balance ($)    Trans Amount ($)     New Acc Balance($)

1                       352                                       -48                      304

2                      432                                      +80                      512

3                       75                                       -100                     -25

4                       40                                        52                       12

5                      -10                                        -20                     -30

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The probability of a normal distribution with a mean of 90,000 and a standard deviation of 29,500 being less than or equal to 29,500 is approximately 0.0202.

To compute this probability, we can use the standard normal distribution and transform the values accordingly:

z = (x - mu) / sigma

where:

x = 29,500

mu = 90,000

sigma = 29,500

Substituting the values, we get:

z = (29,500 - 90,000) / 29,500 = -2.0347

Using a standard normal distribution table or calculator, we can find that the probability of a value being less than or equal to -2.0347 is approximately 0.0202.

Therefore, the probability of a normal distribution with a mean of 90,000 and a standard deviation of 29,500 is less than or equal to 29,500 is approximately 0.0202.

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Answer:

$412.50

Step-by-step explanation:

\(550(1 - .25) = 550(.75) = 412.50 \\ \)

Answer:

pi/3+2pin, 2pi/3+2pi(n)

Answer:

the next one is c - pi/2

Step-by-step explanation:

Answer:

yes they ar op b

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

Total number = (Rate)(time)

---------------------------------------

t = cd

t = qh

t = wm

The ratio of the volumes of the two cylinders is 27:32. To solve this problem, we need to use the formula for the volume of a cylinder, which is given by V = πr^2h, where r is the radius of the base and h is the height.
Let us assume that the height of the first cylinder is 2x and the height of the second cylinder is 3x. Similarly, let us assume that the radius of the base of the first cylinder is 9y and the radius of the base of the second cylinder is 8y.
Using these assumptions, we can write the ratios of the heights and base radii as follows:
Height ratio = 2:3
2x:3x
Base radius ratio = 9:8
9y:8y
Now, we can calculate the volumes of the two cylinders using the formula V = πr^2h.
Volume of first cylinder = π(9y)^2(2x) = 162πxy
Volume of second cylinder = π(8y)^2(3x) = 192πxy
Therefore, the ratio of the volumes of the two cylinders is:
Volume ratio = Volume of first cylinder : Volume of second cylinder
= 162πxy : 192πxy
= 27 : 32
Hence, the ratio of the volumes of the two cylinders is 27:32.
In summary, if the height of two circular cylinders are in the ratio 2:3 and their base radii are in the ratio 9:8, then the ratio of their volumes is 27:32.
Cylinder 1: height = 2h, radius = 9r
Cylinder 2: height = 3h, radius = 8r
Now, let's calculate the volumes of the cylinders using the formula
Cylinder 1 volume: V1 = π(9r)²(2h) = 162πrh
Cylinder 2 volume: V2 = π(8r)²(3h) = 192πrh
Now, let's find the ratio of their volumes:
V1:V2 = 162πrh : 192πrh
The πrh terms cancel out, leaving:
V1:V2 = 162:192
To simplify the ratio, we can divide both terms by their greatest common divisor (GCD), which is 6:
V1:V2 = 27:32

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Answer:

Y= -1/4x +2

Step-by-step explanation:

Answer:

y=-1/4x+2

slope formula-

y=mx+b

m=Slope

b= y-intercept

The answer is 1.6

How I figured it out:

I divided 8 by 5, which gave me 1.6

To make sure this was right, I multiplied 1.6 by 5, which gave me an answer of 8 or other known as 8 inches.

In conclusion, the number of inces per hour is 1.6

There are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

There are \(${8\choose2}=28$\) subsets of size two that can be formed from the set {1, 2, 3, 4, 5, 6, 7, 8}.

To count the number of subsets of size two that contain at least one of the elements of {1, 2, 3}, we can use the principle of inclusion-exclusion.

Let A be the set of subsets of size two that contain 1, B be the set of subsets of size two that contain 2, and C be the set of subsets of size two that contain 3. We want to count the size of the union of these three sets, i.e., the number of subsets of size two that contain at least one of the elements of {1, 2, 3}.

By the principle of inclusion-exclusion, we have:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

To calculate the sizes of these sets, we can use combinations. For example, |A| is the number of subsets of size two that can be formed from {1, 2, 3, 4, 5, 6, 7, 8} with 1 as one of the elements. This is equal to \(${3\choose1}{5\choose1}=15$\), since we must choose one of the three elements in {1, 2, 3} and one of the five remaining elements.

Similarly, we have:

|A| = \(${3\choose1}{5\choose1}=15$\)

|B| = \(${3\choose1}{5\choose1}=15$\)

|C| = \(${3\choose1}{5\choose1}=15$\)

|A ∩ B| = \(${2\choose1}{5\choose0}=2$\), since there are two elements in {1, 2} that must be included in the subset, and we can choose the other element from the remaining five.

|A ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|B ∩ C| = \(${2\choose1}{5\choose0}=2$\)

|A ∩ B ∩ C| = \(${3\choose2}=3$\), since there are three elements in {1, 2, 3} and we must choose two of them.

Substituting these values into the inclusion-exclusion formula, we get:

|A ∪ B ∪ C|\(= 15 + 15 + 15 - 2 - 2 - 2 + 3 = 42\)

Therefore, there are 42 subsets of size two that contain at least one of the elements of {1, 2, 3}.

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The terms that describe the statement are data analysis statistical inference and descriptive statistics

The statement is given as:

When statisticians analyze data in order to draw conclusions about the characteristics of a population.

From the above statement, we have the following highlights:

The term that describes the above highlights is data analysis statistical inference.

The term can also be referred to as descriptive statistics.

Hence, the terms that describe the statement are data analysis statistical inference and descriptive statistics

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Answer:

ASA...............................

Answer:

3x-14=180

3x=194

x= 64 2/3

4(x-9)=180

4x-36=180

4x=216

x=54

Hope This Helps!!!

Step-by-step explanation:

(3x-14)°=180°

3x-14=180

3x=180+14

3x=194

x=64.6

[4(x-9)]°=180°

4x-36=180

4x=180+36

4x=216

x=54

Answer:

4/15~15.5

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 16

and the lengths of the legs are 4 and x.

Answer:

3/4

Step-by-step explanation:

Answer:

at one gas station, gas costs $2.75 per gallon. write and equation that relates the total cost, C, to the number of gallons of gas purchased:  2.75 g  

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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a Probability that Upper X 0.0013 ,

b. Upper X less than 80 is 0.0228

c  Upper X less than 95 or Upper X greater than 125 is 0.6853.

d 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).

Given a normal distribution with mu equals 100 and sigma equals 10, we can use the cumulative standardized normal distribution table to complete the following parts:

a. What is the probability that Upper X greater than 70?
Using the cumulative standardized normal distribution table, we find the z-score for 70 as (70-100)/10 = -3. We then look up the probability for a z-score of -3, which is 0.0013. Therefore, the probability that Upper X greater than 70 is 0.0013. (Round to four decimal places as needed.)

b. What is the probability that Upper X less than 80?
Using the cumulative standardized normal distribution table, we find the z-score for 80 as (80-100)/10 = -2. We then look up the probability for a z-score of -2, which is 0.0228. Therefore, the probability that Upper X less than 80 is 0.0228. (Round to four decimal places as needed.)

c. What is the probability that Upper X less than 95 or Upper X greater than 125?
Using the cumulative standardized normal distribution table, we find the z-score for 95 as (95-100)/10 = -0.5 and the z-score for 125 as (125-100)/10 = 2.5. We then find the probabilities for each of these z-scores, which are 0.3085 and 0.0062, respectively. To find the probability that Upper X is either less than 95 or greater than 125, we add these two probabilities and subtract from 1 (to account for the overlap): 1 - (0.3085 + 0.0062) = 0.6853. Therefore, the probability that Upper X less than 95 or Upper X greater than 125 is 0.6853. (Round to four decimal places as needed.)

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the z-score corresponding to the 99th percentile, we look up the probability of 0.99 in the cumulative standardized normal distribution table, which is 2.33 (rounded to two decimal places). Using this z-score, we can find the corresponding X-values using the formula z = (X - mu)/sigma. Solving for X, we get: X = z*sigma + mu = (2.33)(10) + 100 = 123.3 and X = (-2.33)(10) + 100 = 76.7. Therefore, 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).

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Answer:

Reflect over the x-axis and shift up 3.

Answer:

Reflect over the x-axis and shift up 3

Step-by-step explanation:

Answer:

\((a)\ (x+6)^2 + (y-5)^2 = 25\)

\((b)\ Area = 16.75cm^2\)

Step-by-step explanation:

Solving (a):

Given

\((a,b) = (-6,5)\)

\(r = 5\)

Required

The equation of the circle

This is calculated as:

\((x-a)^2 + (y-b)^2 = r^2\)

So, we have:

\((x--6)^2 + (y-5)^2 = 5^2\)

\((x+6)^2 + (y-5)^2 = 25\)

Solving (b):

Given

\(r = 8cm\)

\(\theta = 30^o\) --- Missing from the question

Required

The area of the sector

This is calculated using:

\(Area = \frac{\theta}{360} * \pi r^2\)

So, we have:

\(Area = \frac{30}{360} * 3.14 * 8^2\)

\(Area = \frac{1}{12} * 200.96\)

\(Area = 16.75cm^2\)

Answer:

9/2

Step-by-step explanation:

Answer

the commisoin is 270

The margin of error for this interval can be calculated by taking the difference between the upper and lower bounds of the confidence interval and dividing it by 2. In this case, the difference between 0.333 and 0.397 is 0.064. Dividing that by 2 gives us a margin of error of 0.032.

This means that if we were to take multiple samples of 500 American households and calculate a confidence interval for each sample, about 95% of those intervals would contain the true proportion of American households that own a dog. However, each interval would differ slightly due to sampling variability, and the true proportion may fall outside the given interval. It is important to note that the margin of error is influenced by the sample size. Larger sample sizes tend to produce smaller margins of error, while smaller sample sizes result in larger margins of error. Therefore, it is crucial to have a sufficient sample size to ensure that the estimate is accurate and the margin of error is small.

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If there are 5 finalists at a singing competition, in 120 ways they can be ordered, if they each take turns singing by applying basic counting principles.

There are 5 finalists at a singing competition and each of them takes turns singing.

We can calculate the number of ways the 5 finalists can take up turn by applying basic counting principles.

Therefore, they can be ordered in n factorial ways, that is n !, where n is the number of finalists who take turns to sing.

Thus, number of ways the finalists can be ordered is = 5!

= 5*4*3*2*1 ( ways )

= 120 ways

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Answer:

x = 0

Step-by-step explanation:

First we need to move either 5r or 2r to the other side, in order to isolate the variable.

We'll move 5r, in this case, by subtracting it from 2r. Now we got: -11 - 3x = -6 - 5.

Next we subtract 5 from -6 to get

-11 - 3x = -11.

Now we can add 11 on both sides to get -3x = 0.

Finally divide by -3 to get x = 0.

Hope this helps :)

Answer:

Step-by-step explanation:

-11 + 2r = 5r - 6 - 5                  combine like terms

-11  +2r = 5r -11 .                       pass the 2r to the other side and it will become                                                                                                                      

         ⤻                                   negative  

-11 = 5r -2r -11                          combine like terms

-11= 3r - 11                               pass the -11 to the other side and now it will        

           ⤾                                 become positive

-11 +11 = 3r                               combine like terms

0 = 3r                                       divide both sides by three

0 = r                                         And then you will get your answer  :)

Answer:

first one is A and second one is C

x=6 m<ABD=20 *I think*

Step-by-step explanation:

Find x

plug in your answer