I
need help with this question
Determine the area bounded by the functions y = 4 and y = f(x) between x = 1 and x = 10 where f(x) is a piecewise function given by 40 f(x) = 4+ for x 4 x2 AREA

College students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year.

To answer your question, we need to use basic probability concepts. If 65% of students surveyed had opened a new credit card account within the past year, then the probability that a randomly chosen student has not opened a new credit card account is 1 - 0.65 = 0.35 or 35%.
Now, let's say we want to find the number of students we need to survey before finding one who had not opened a new account in the past year. This is equivalent to finding the number of trials before we get a success (i.e., finding a student who had not opened a new account).
We can use the formula for geometric distribution, which is:
P(X = k) = (1 - p)^(k-1) * p
where X is the number of trials before the first success, p is the probability of success, and k is the number of trials.
In our case, p = 0.35 (the probability of finding a student who had not opened a new account) and we want to find k (the number of trials).
We can set the probability to find a student who had not opened a new account to be greater than 0.5 (i.e., 50%) to ensure a high chance of success. So, we have:
P(X >= k) = 0.5
(1 - 0.35)^(k-1) * 0.35 = 0.5
Taking the logarithm of both sides and solving for k, we get:
k = log(0.5) / log(0.65)
k ≈ 3
Therefore, we would expect to survey about 3 students before finding one who had not opened a new credit card account in the past year.

In conclusion, college students are often targeted by credit card companies with advertisements. A survey conducted at a university found that 65% of students had opened a new credit card account within the past year. This statistic suggests that credit cards are popular among college students, who may be looking for ways to finance their education and living expenses. However, it is also important to note that credit card debt can be a major burden for students, especially if they are unable to make timely payments or manage their finances effectively. The probability analysis conducted in this answer shows that we would expect to survey only about 3 students before finding one who had not opened a new credit card account in the past year. This highlights the need for financial education and literacy programs for college students, to help them make informed decisions about credit card use and avoid potential debt problems.

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Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0

the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

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Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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the jensen measure of performance evaluation for sooner stock fund will be 2.6%.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

the risk-free return during the sample period was 3%.

performance evaluation for sooner stock fund.

Expected return of Sooner Stock Fund = E(Rp) = 20%

Beta of stock = 1.8

risk free rate Rf = 3%

Market Return Rm = 11%

So, Jensen measure alpha = E(Rp) - Rf - beta*(Rm - Rf) = 20 - 3 - 1.8*(11-8) = 2.6%

Hence the Jensen measure of performance evaluation for the sooner stock fund will be 2.6%.

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What is a slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.

-3= -4(4) +b

-3= -16+b

+16  +16

13= b

This tells us that b=13, now we simply substitute that into the formula.

The solution to your question is y=-4x+13

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(a) The probability that his or her salary is between $90,000 and $170,000 is 97.27%.

For finding the probability, we will apply Chebyshev inequality.

\(\frac{}{x}\) (mean) = $130000

s (standard deviation) = 20000

Assuming that s > 0, Chebyshev's inequality states that for any value of k \(\geq\) 1, greater than 100 (\(1- \frac{1}{k^{2} }\)) percent of the data lie within the interval from \(\frac{}{x} - ks\) to \(\frac{}{x} + ks\) .

\(\frac{}{x} - ks\\\) = 9000

= 130000 - 20000k = 9000

= 20000k = 130000 - 9000

= 20000k = 121000

= k = 121000/20000

= k = 6.05

Probability is 100 (\(1- \frac{1}{k^{2} }\\\)) = \((1- \frac{1}{(6.05)^{2} })\\\) = 97.27%

(b) The probability that his or her salary exceeds $150,000 is 100%.

For finding the probability, we will apply Chebyshev inequality.

\(\frac{}{x}\) (mean) = $130000

s (standard deviation) = 20000

Assuming that s > 0, Chebyshev's inequality states that for any value of k > 1, less than 100 (\(\frac{1}{k^{2} }\)) percent of the data lie exceeds  \(\frac{}{x} + ks\) .

\(\frac{}{x} + ks\\\) = 9000

= 130000 + 20000k = 150000

= 20000k = 150000-130000

= 20000k = 20000

= k = 20000/20000

= k = 1

Probability is 100 (\(\frac{1}{k^{2} }\\\)) =100. \(\frac{1}{1^{2} }\) = 100%

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'' In math, a geometric series  is a series with a constant ratio between successive terms.

Answer:

\(Rate = 8640 fl\ oz/hour\)

Step-by-step explanation:

Given

Rate: 9 gallon in every 8 minutes

Required

Express in fluid ounces per hour

Express rate as follows;

\(Rate = \frac{9\ gallon}{8\ minutes}\)

1 gallon = 128 fluid ounces;

So:

\(Rate = \frac{9 * 128 fl\ oz}{8\ minutes}\)

1 minutes = 1/60 hour;

So:

\(Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}\)

\(Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}\)

\(Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour\)

\(Rate = 1152* \frac{60}{8}\ fl\ oz/hour\)

\(Rate = \frac{1152*60}{8}\ fl\ oz/hour\)

\(Rate = \frac{69120}{8}\ fl\ oz/hour\)

\(Rate = 8640 fl\ oz/hour\)

Answer:

Try subtracting 585 to 20

Step-by-step explanation

then after you dom that times 360 and 20

Answer:

108

Step-by-step explanation:

585-20/100*585=

585-0.2*585

=585-117

=468

468-360=108

=108

Answer:

51 degrees

Step-by-step explanation:

angle 1 is 104 and angle 3 is 25

add those and u get 129

it has to all equal 180 so...

180-129 is 51

It is clear that planes q and r are parallel based on the fact that they do not intersect and remain in the same plane.

Lines a and b, however, are skew because they are not parallel, not in the same plane, and do not intersect.

This can be seen by looking at the angles formed by lines a and b, as they are not equal and are not of the same degree.

Furthermore, lines a and b cannot be in the same plane as planes q and r, as they do not intersect, and therefore they must be skew.

This is because two lines that are parallel to the same plane cannot be skew to each other. Therefore, lines a and b must be skew since they are not parallel to planes q and r.

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Answer: 6

Step-by-step explanation:

Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:

972 + 17x

To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:

44x

Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.

Answer:

a)

17x + 972

44x

b)

972 + 17x = 44x

Step-by-step explanation:

Answer:

The probability is less likely and 2/20

Please mark me as brainliest.

10/38 is what i think it is

Answer: 24

Step-by-step explanation: The LCM of 3 and 8 is 24.

3 6 9 12 15 `18 21 24

8 16 24

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

23

Step-by-step explanation:

Ryan needs to score a 23 this game because if you add all the numbers together (32 + 26 + 23 + 23) then divide them

(32 + 26 + 23 + 23)/4

You will get 23.

Answer:

23 points

Step-by-step explanation:

Let's first start out by first finding the current mean. We can find this by:

\(\frac{32+26+23}{4}=27.\)

So we know that his current average is 27 points per game, and we need the average to be 26. So, to find out the total number of points he scores from his 1st, 2nd, 3rd, and 4th game, we will do:

\(26\cdot4=104\)

So if he needs 104 points in total to have an average of 26. So, we would subtract his total number of points from his 1st, 2nd, and 3rd game, from 104. If we do this, we would get:

\(104-(32+26+23)=104-81=23\)

So he would need to score 23 points next game to have an average of 26 points.

Answer:

Step-by-step explanation:

12$ = original price (need to add 67% mark up)

12/100 = 0.12 = 1%

0.12 x 67 = $8.04 markup

12 + 8.04 = $20.04 is the correct selling price

the error was accidently not adding the markup ($8.04) to the original price

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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The vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

To find a vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩, we need to first find the direction vector of the line we want to create. Since the line we want is perpendicular to ⟨1+4t,4-t⟩, its direction vector should be orthogonal to ⟨1, -1/4⟩ which is the direction vector of ⟨1+4t,4-t⟩.

So, we can find a direction vector for the line we want by taking the dot product of the direction vector of ⟨1+4t,4-t⟩ and any vector that is orthogonal to ⟨1, -1/4⟩. A convenient choice for an orthogonal vector is ⟨1, 4⟩ since their dot product is 1 * 1 + (-1/4) * 4 = 0.

Thus, a direction vector for the line we want is ⟨1, 4⟩. Now we can use the point (-4,-4) and the direction vector ⟨1, 4⟩ to find a vector parametric equation for the line we want:

x = -4 + t

y = -4 + 4t

So the vector parametric equation for the line through the point (-4,-4) that is perpendicular to the line ⟨1+4t,4-t⟩ is ⟨-4+t, -4+4t⟩.

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Answer: y = 12/11 x + -12/11

Step-by-step explanation:

m = y2 -y1/x2 -x1

x1 = -4

x2 = 7

                  into m = y2 - y1/x2 -y1

y1 = -7

y2 = 5

m = 12/11

x = -4            into y = mx + b

y = -7

b = - 12/11

y = 12/11x + -12/11 into

y = mx + b :

y + 12/11x + -29/11

Answer:

41.41

Step-by-step explanation:

cosA=6/8=3/4

I used a calculator

Eliminate x by adding the two equations, yielding \(y = 6\). Then, substitute y into either equation to solve for x, obtaining \(x = -3\). The solution is \((-3,6)\).

An equation is a mathematical statement that uses symbols, numbers, and variables to show that two expressions are equal, typically with an equal sign between them.

A variable is a quantity or symbol that can take on different values in a mathematical expression, equation, or formula, typically represented by a letter.

To eliminate a variable in a system of equations, we want to find a way to add or subtract the two equations so that one of the variables is eliminated.

In this case, we can eliminate the variable x by adding the two equations

\(x- 7y = -45\)

\((-x +8y = 51)\)

\(y = 6\)

Now that we have found the value of y, we can substitute it into either of the original equations to solve for x. Let's use the first equation

\(x-7y = -45\\x- 7(6) = -45\\x = -45+42\\x = -3\)

Therefore the solution to the system of equations is \(x= -3\) and\(y= 6\)

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the solution to the system of equations is (x, y) = (-3, 6).

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

To eliminate the variable x, we can add the two equations together. This will result in the x variable being eliminated, leaving us with an equation in terms of y:

(x - 7y) + (-x + 8y) = -45 + 51

Simplifying and solving for y, we get:

y = 6

Now that we know the value of y, we can substitute it into one of the original equations to solve for x. Using the first equation:

x - 7(6) = -45

Simplifying and solving for x, we get:

x = -3

Therefore, the solution to the system of equations is (x, y) = (-3, 6).

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4x10^-7 this optional is correct

Step-by-step explanation:

4÷1000000

o

Answer:

Maybe -10

Hope this helps :)

After Jonah Benavides deposits his paycheck, bonus check, and a check from his grandma, the total amount added to his account is $943.98. Adding this amount to his original balance of $476.2, the total amount in his account after the deposit will be $1,420.18.

To calculate the total amount in Jonah's account after the deposit, we need to sum up the amounts of his paycheck, bonus check, and the check from his grandma and then add it to his original balance.

Paycheck amount = $865.98

Bonus check amount = $60

Check from grandma = $18

Original balance = $476.2

Total deposit amount = Paycheck amount + Bonus check amount + Check from grandma

Total deposit amount = $865.98 + $60 + $18 = $943.98

Total amount in Jonah's account after the deposit = Original balance + Total deposit amount

Total amount in Jonah's account = $476.2 + $943.98 = $1,420.18

Therefore, Jonah will have $1,420.18 in his account after the deposit is made, assuming the checks clear.

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