A linear function is shown below. What point is on the graph of the inverse of this function?

a. (1, -1)


b. (-3, 5)


c. (-4, 0)


d. (7, 1)

The kind of error where a bank misses an opportunity to make a loan to someone who would have repaid it is known as a Type II error or a false negative.

1. Type II error: When a bank fails to grant a loan to an individual who would have been capable of repaying it, it is considered a Type II error or a false negative. This means that the bank incorrectly rejects a potentially profitable opportunity.

2. Loan evaluation process: Banks assess various factors before approving a loan, such as credit history, income stability, debt-to-income ratio, and collateral. These factors help determine the borrower's creditworthiness and ability to repay the loan.

3. Probability of error: The bank's decision-making process involves setting thresholds or cutoff points for different criteria. If the borrower's profile falls below these thresholds, the loan may be denied. However, these thresholds are not infallible and can lead to errors.

4. Factors contributing to error: There can be several reasons why a bank might miss an opportunity to grant a loan to someone who would have repaid it. Some potential factors include overly strict evaluation criteria, outdated or incomplete data, limited access to information, or human error in the decision-making process.

5. Impact and mitigation: Type II errors can result in missed business opportunities for the bank and potential benefits for the borrower. To minimize these errors, banks can continually refine their loan evaluation processes, adopt advanced data analysis techniques, leverage technology for more accurate assessments, and regularly update their risk models. Additionally, ensuring proper training and supervision of loan officers can also reduce the likelihood of such errors.

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(a) To prove An(BUC) = (AUB) n (AUC), we show that any element x in An(BUC) belongs to (AUB) n (AUC) by considering two cases: when x belongs to B and when x belongs to C.

(b) To demonstrate (A - B) n (B - A) = 0, we assume the existence of an element x in both (A - B) and (B - A), leading to a contradiction. Therefore, the intersection of the two sets is empty.

(a) To prove An(BUC) = (AUB) n (AUC), we need to show that any element x belongs to both sides of the equation.

Let's start with the left-hand side, An(BUC). This means x belongs to both A and BUC. Since x is in BUC, it must either be in B or in C. Therefore, we have two cases:

Case 1: x belongs to B

In this case, x is in both A and B, so it belongs to AUB. Also, since x is in C (from BUC), it belongs to AUC. Therefore, x belongs to both AUB and AUC, which implies that x is in (AUB) n (AUC).

Case 2: x belongs to C

Similar to Case 1, x is in both A and C, so it belongs to AUC. Also, since x is in BUC, it belongs to B as well. Therefore, x belongs to both AUC and AUB, implying that x is in (AUB) n (AUC).

In both cases, we have shown that any element x in An(BUC) also belongs to (AUB) n (AUC). Hence, we have proved that An(BUC) = (AUB) n (AUC).

(b) To prove (A - B) n (B - A) = 0, we need to show that the intersection of the two sets is empty, meaning there are no common elements.

Let's assume there exists an element x that belongs to both (A - B) and (B - A). This implies that x belongs to A but not to B, and at the same time, x belongs to B but not to A. However, this leads to a contradiction since an element cannot simultaneously belong to a set and not belong to the same set.

Hence, our assumption that there exists an element x belonging to both (A - B) and (B - A) is false. Therefore, the intersection of the two sets is empty, and we can conclude that (A - B) n (B - A) = 0.

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Answer:

  x = 12

Step-by-step explanation:

You want to know the value of x when two tangents from the same point to the same circle are marked (4x-7) and (2x+17).

Tangents to a circle from a common point are the same length:

  4x -7 = 2x +17

  2x = 24 . . . . . . . . add 7-2x

  x = 12 . . . . . . . divide by 2

The population of interest to the department of education will be all college students.

A population is a large group of individuals that have some common feature by the researcher's point of interest.

Here the Department of Education wishes to estimate the proportion of all college students who have a job off-campus.

Proportion: A proportion is an equation in which two ratios are set equal to each other. If there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).

So , he needs data of all students to compute the exact proportion.

But instead of that he surveyed 1600 randomly selected students which determine the sample.

Sample just gives the estimate of the parameter.

Hence, the population of interest to the Department of education is " All college students" .

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You should expect to spend $26 to win $100 playing this casino game.

This is a classic example of a geometric distribution, where each trial has two possible outcomes (win or lose) and the probability of winning remains constant at 1/13 (4 kings in a deck of 52 cards) across all trials.

The expected number of trials to win is 13, so the expected cost to win is 13 times the cost per trial, which is $2, giving an expected cost of $26. Note that this is the expected cost, not the guaranteed cost, and it is possible to spend more or less than $26 before winning.

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Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).

The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,

Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.

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The expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)

The expression is given as:

30 + 10

Express the terms of the expression as the product of their GCF.

So, we have:

30 + 10 = 3 * 10 + 1 * 10

Factor out 10

30 + 10 = 10(3 + 1)

Hence, the expression that uses the GCF and the Distributive Property to express the sum as a product of the expression given as 30 + 10 is 10(3 + 1)

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11 hours, 5 minutes is the ansewer

Answer: C

Step-by-step explanation:

A P E X

Answer:

C

Step-by-step explanation:

Answer:

dont b lazy googIe it

Step-by-step explanation:

Answer:

Can you plz attach an image of the graph :O

Step-by-step explanation:

Answer:

79t + 64

Step-by-step explanation:

8(9t + 8) + 7t

8 × (9t + 8) + 7t = 72t + 64 + 7t

72t + 7t + 64 = 79t + 64

Answer:

a=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

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Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.

I HOPE IT WILL HELP YOU A LOT.

Answer:

HL

Step-by-step explanation:

The HL Therom only proves right triangles are congruent and since both triangles are right triangles, HL can work here.

Answer:

x = (4,0)

y = (0,-4)

Step-by-step explanation:

x - y = 4

(0) - y = 4

-(-y) = -(4)

y = -4

x - (0) = 4

x = 4

x = (4,0)

y = (0,-4)

Answer:

x = 4 . 0

y = 0 . -4)

Step-by-step explanation:

The slope of a line perpendicular to this line is 3.5

From the question, we have the following parameters that can be used in our computation:

y = -2/7x + 3/7

Using the above as a guide, we have the following:

A linear equation is represented as

y = mx + c

Where

m = slope

So, we have

m = -2/7

The slope of perpendicular lines are opposite reciprocals

So, we have

new slope = -1/(-2/7)

Evaluate

new slope = 3.5

Hence, the slope of a line perpendicular to this line is 3.5

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Variables:

x: hawk fans

y: cyclone fans

The basketball game had 600 people in attendance means:

x + y = 600

The ratio of hawk fans to cyclone fans is 2:10 means

Substituting the last equation into the first equation, we get:

x + 5x = 600

6x = 600

x = 600/6

x = 100

And the value of y is:

y = 5*100

y = 500

There were 500 - 100 = 400 more cyclone fans

Answer:

The equation in slope-intercept form is:

\(y=\frac{1}{3}x+3\)

So the second option is the correct one.

Step-by-step explanation:

Step 1: Identify the gradient

The perpendicular line's equation is given as:

\(y=-3x+4\)

This equation is in the form of:

\(y=mx+b\)

Upon comparing the \(x\) components of both equations, we get\(-3x=mx\\\text{Remove the}~ x~ \text{from both sides:}\\-3=m\\m=-3\)

So, the gradient of this 'reference' equation is -3.

The equation we need to find is perpendicular to this 'reference' equation.

So, its gradient should be the negative reciprocal of the gradient of the 'reference' equation.

The negative reciprocal of -3 is:

\(-\frac{1}{(-3)}\\=\frac{1}{3}\)

So, the gradient of our equation is \(\frac{1}{3}\).

Step 2: Create the equation:

The equation crosses the x-axis at -9, which means its y-coordinate is 0 (at x-axis, y=0) ,so its coordinate is \((-9,0)\).

The formula for an equation is:

\(y-y_{1}=m(x-x_{1})\)

The coordinate \((x_{1},y_{1})\) is \((-9,0)\), and the gradient (\(m\)) is \(\frac{1}{3}\).

Substitute the values into the equation:

\(y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{3}(x-(-9))\\\\\text{Simplify}\\y=\frac{1}{3}(x+9)\)

\(\text{Simplify further}\\y=\frac{1}{3}x+3\)

Since, the slope-intercept form is:

\(y=mx+b\)

We already have our equation in the slope-intercept form.

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

\( \sqrt{?} \)

The solutions for 1 and 2 are given below.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

(1). Given:

LJ/JN = MK/KP

So,

9/JN = 18/6

JN = 3 unit.

(2). Polygon JKLM is similar to Polygon PQRS.

So,

(e). The proportionality ratio for sides,

JK/PQ = KL/QR = LM/RS = JM/PS

(a). The scale factor PQRS to JKLM,

= 4/5

(b). The value of x:

x/20 = 20/25

x = 16

The value of y:
y/10 = 25/20

y = 12.5

(c). The perimeter of JKLM = 58 units.

The perimeter of PQRS = 62.5 units.

(d). The ratio of the perimeter PQRS to JKLM = 62.5/58

(e). The proportionality ratio for sides,

JK/PQ = KL/QR = LM/RS = JM/PS

Therefore, all the required values are given above.

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a.: If we reject \(H_0\) , then we conclude that  \(H_0\) , is false.

It is False

b. If we do not reject \(H_0\) , then we conclude that \(H_0\) , is true.

It is True

c. If we reject \(H_0\) , then we conclude that \(H_1\) is true.

It is True

d. If we do not reject \(H_0\) ,, then we conclude that \(H_1\) is false.

It is True

In a hypothesis test, we can only reject a null hypothesis because it is the only hypothesis that was accepted as a true while initiating the test. If we cannot reject the null hypothesis then it does not mean that the null hypothesis is true. We can only say that there is not enough evidence against the null.

We have the information from the question is:

=> If we reject \(H_0\) , , then we conclude that \(H_0\) , is false.

The rejection of the null hypothesis  \(H_0\) , is a strong statement that \(H_0\) , does not appear to be consistent with the observed data.

It is False statement.

=> If we do not reject \(H_0\)  , then we conclude that \(H_0\)  is true.

If we do not reject the null hypothesis, we conclude that the test is statistically insignificant at whatever level of significance the test was conducted at. Because it test is insignificant then it mean that the null hypothesis is fail to reject.

It is True.

=>  If we reject \(H_0\)  , then we conclude that \(H_1\) is true

\(H_0\) , (innocent) is rejected if H1 (guilty) is supported by evidence beyond “reasonable doubt.” Failure to reject \(H_0\) ,(prove guilty) does not imply innocence, only that the evidence is insufficient to reject it.

It is True

=> If we do not reject \(H_0\)  , then we conclude that \(H_1\) is false.

It is also a True statement.

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Based on the information given, the area that will be left uncovered will be 450ft².

= 30 × 30 = 900ft²

The area viewed by the camera = 112.5ft²

Therefore, the number of cameras needed will be:

= 900/112.5 = 8

When he places the cameras in the corners of the store, he area covered will be:

= 4 × 112.5 = 450ft²

Therefore, the area left uncovered will be:

= 900 - 450

= 450 ft²

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

D- 22

Step-by-step explanation:

The rectangle would be 9 units tall and 2 units wide.     2 x 2 = 4   9 x 2 = 18     4 + 18 = 22

The blue rectangle is what the rectangle would look like.