help please

What is the Range of the function? ​

The new image would be smaller in sample size than the original image.

For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be

(200 x 0.5) = 100 x (100 x 0.5)

= 50 pixels.

The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be

(200 x 0.75) = 150 x (100 x 0.75)

= 75 pixels.

In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.

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Answer:

The first one; -1.2<6.9

Step-by-step explanation:

The answers to all the equations are:

So, f(x):

(A) f(x) = x + 3 when f(4)

(B) f(x) = 2x - 9 when f(5)

(C) f(x) = -6x + 2 when f(-3)

Therefore, the answers to all the equations are:

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(a) The distribution function: 57.74

(b) The probability distribution of X can be given by: 57.74

(c) For good drivers =  $8710.38 ;  For bad drivers = $8710.38.

(a) Let X be the loss from an accident. Since the loss will be can be modeled by a uniform distribution over (0,10000) for 0 < X ≤ 10000, and 0 otherwise.

Therefore, the distribution function can be given by;

F(x)= 0,  x ≤ 0(1/10000)x,  0 < x ≤ 100001, x > 10000The mean, E(X), and the standard deviation, SD(X) can be obtained as follows

;E(X) = ∫xf(x)dx= ∫0^10000(1/10000)x dx+ ∫10000^∞0 dx= (1/2)(10000/10000) + 0 = 1/2(10000) = 5000.

SD(X) = [∫(x-E(X))^2f(x)dx]1/2= [∫0^10000 (x - 5000)^2(1/10000)dx + ∫10000^∞ (x - 5000)^20 dx]1/2

= [(1/10000) ∫0^10000 (x - 5000)^2 dx]1/2+ [0]1/2

= [(1/10000) (1/3)(10000)^3]1/2= (1/3)(10000)1/2= (10000/3)1/2≈ 57.74

(b) For a bad driver, whose probability of accident is 0.15, the probability distribution of X can be given by:

P(X=10,000) = 0.25P(0 < X ≤ 10,000) = 0.75, and can be modeled by a uniform distribution over (0,10000) for 0 < X ≤ 10000, and 0 otherwise.

The distribution function can be given by:F(x)= 0,  x ≤ 0(1/10000)x,  0 < x ≤ 100001, x > 10000

The mean, E(X), and the standard deviation, SD(X) can be obtained as follows;

E(X) = ∫xf(x)dx= ∫0^10000(1/10000)x dx+ ∫10000^∞0 dx= (1/2)(10000/10000) + 0 = 1/2(10000) = 5000.

SD(X) = [∫(x-E(X))^2f(x)dx]1/2= [∫0^10000 (x - 5000)^2(1/10000)dx + ∫10000^∞ (x - 5000)^20 dx]1/2= [(1/10000) ∫0^10000 (x - 5000)^2 dx]1/2+ [0]1/2= [(1/10000) (1/3)(10000)^3]1/2= (1/3)(10000)1/2= (10000/3)1/2≈ 57.74

(c) Since an insurance company covers 200 good drivers and 100 bad drivers, and the probability of an accident occurring for a good driver is 0.05 while for a bad driver is 0.15, then the total number of claims for good drivers and bad drivers can be modeled by Binomial distributions B(200, 0.05) and B(100, 0.15) respectively. The total premium can be calculated as follows;

i. To be 95% sure of not losing money, the total amount of premiums collected should be greater than or equal to the total amount of losses that are expected with probability 0.95.

Therefore;P[Loss ≤ Premium] ≥ 0.95Also, the total expected loss can be calculated as follows;

E(Loss) = E(X1 + X2 + ... + X200 + Y1 + Y2 + ... + Y100)

E(Loss) = E(X1) + E(X2) + ... + E(X200) + E(Y1) + E(Y2) + ... + E(Y100)

Where X1, X2, ... , X200 are losses from good drivers and Y1, Y2, ..., Y100 are losses from bad drivers;

E(Xi) = $5000 (good driver),E(Yi) = $5000 (bad driver),P(Xi = $10,000) = 0.25,

P(Xi = $k) = 0.75(1/10000), for 0 < k ≤ $10,000, and P(Yi = $10,000) = 0.25, P(Yi = $k) = 0.75(1/10000), for 0 < k ≤ $10,000.

Then;E(Xi) = 0.25($10,000) + (0.75)(1/2)($10,000) = $4375,E(Yi) = 0.25($10,000) + (0.75)(1/2)($10,000) = $4375,

Therefore;E(Loss) = 200($4375) + 100($4375) = $1,312,500

Now, P[Loss ≤ Premium] ≥ 0.95 is equivalent to;P[Premium − Loss ≤ 0] ≥ 0.95

Also, P[Premium − Loss > 0] ≤ 0.05.

Therefore, the total premium, P can be determined from;

P[P(X − E(X) + Y − E(Y) > 0) ≤ 0.05] ≤ 0.05,P[P(X − E(X) + Y − E(Y) > 0) ≥ 0.95] ≥ 0.95

Hence, by central limit theorem, the total losses from both good and bad drivers can be approximated by a Normal distribution with mean;

μ = E(Loss) = $1,312,500, and variance;σ2 = Var(X1) + Var(X2) + ... + Var(X200) + Var(Y1) + Var(Y2) + ... + Var(Y100)σ2 = 200[0.25(10000 − 5000)2 + (0.75)(1/12)(10000)2] + 100[0.25(10000 − 5000)2 + (0.75)(1/12)(10000)2]σ2 = 200($3,645,833.33) + 100($3,645,833.33)σ2 = $1,093,750,000

Total premium required can be obtained as follows;

P[P(X − E(X) + Y − E(Y) > 0) ≤ 0.05] ≤ 0.05P(Z ≤ z) = 0.05, then z = −1.645.

And,P[P(X − E(X) + Y − E(Y) > 0) ≥ 0.95] ≥ 0.95P(Z ≥ z) = 0.95, then z = 1.645.

Hence;P(−1.645 ≤ Z ≤ 1.645) = 0.95, where Z ~ N(0,1).

Then;P[(P − $1,312,500)/$3312.31 ≤ Z ≤ (P − $1,312,500)/$3312.31] = 0.95,P[−0.971 ≤ Z ≤ P/$3312.31 − 0.971] = 0.95,Z ≤ P/$3312.31 − 0.971, and Z ≥ −0.971.

By looking up standard normal distribution tables, we can find that;

P(Z ≤ −0.971) = 0.166 and P(Z ≥ 0.971) = 0.166.

Therefore;0.95 = P(Z ≤ P/$3312.31 − 0.971) − P(Z ≤ −0.971) + P(Z ≥ 0.971),0.95 = P(Z ≤ P/$3312.31 − 0.971) − 0.166 − 0.166,0.95 + 0.166 + 0.166 = P(Z ≤ P/$3312.31 − 0.971),P/$3312.31 − 0.971 = 1.28155,

Then;P = (1.28155 + 0.971)$3312.31 = $8,754.99

Therefore, the total premium needed to be 95% sure of not losing money is $8,754.99.

The relative security loading, ψ can be given by;ψ = (Premium − E(Loss))/E(Loss) = (8754.99 − 1312500)/1312500 = −0.9937.

The gross premium, P0 can be calculated by adding a percentage, x, of the expected loss to the expected loss, that is

;P0 = E(Loss) + x(E(Loss)) = E(Loss)(1 + x)

For good drivers;

E(Loss) = $4375x = 1 − ψ = 1 + 0.9937 = 1.9937P0 = $4375(1.9937) = $8710.38

For bad drivers;E(Loss) = $4375x = 1 − ψ = 1 + 0.9937 = 1.9937P0 = $4375(1.9937) = $8710.38

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Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

a) The annual federal minimum hourly wage is a policy set by the government to establish a baseline wage rate for employees.

To provide an accurate calculation and explanation, I would need the specific year for which you are seeking information regarding the annual federal minimum hourly wage. The federal minimum wage can change from year to year due to legislation, inflation adjustments, and other factors.

However, I can provide a general explanation of how the annual federal minimum hourly wage is determined. In most countries, the government establishes a minimum wage policy to ensure a fair and livable income for workers. This policy is typically based on considerations such as the cost of living, inflation rates, economic conditions, and social factors.

The calculation and determination of the annual federal minimum hourly wage involve various factors, including economic data, labor market analysis, consultations with experts, and consideration of social and political factors. These factors help determine an appropriate minimum wage that strikes a balance between supporting workers and maintaining a healthy economy.

The annual federal minimum hourly wage is a policy that varies from year to year and can differ between countries. Its calculation and determination involve various economic, social, and political factors. To provide a more specific answer, please specify the year and country for which you would like information about the annual federal minimum hourly wage.

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Answer:

1\(\frac{7}{8}\)cups

Step-by-step explanation:

2 dozen muffins = \(\frac{3}{4}\)cups

5 dozen muffins = \(\frac{5}{2}\) × \(\frac{3}{4}\)cups

                           = \(\frac{15}{8}\)cups

                           = 1\(\frac{7}{8}\)cups

Answer:

30

Step-by-step explanation:

I think but if is wrong i'm sory

Answer:

B.  6

Step-by-step explanation:

The triangles are similar by AA Similarity.

The lengths of corresponding sides of the triangles are proportional.

AB/PQ = AC/PR

20/5 = 24/PR

4 = 24/PR

4PR = 24

PR = 6

Answer: PR = 6

Answer:

1133.54 ft^2

Step-by-step explanation:

the area of a circle is pir^2. r=19ft. so the answer is 3.14*19^2=1133.54

Answer:

Minimum value is 18

It occurs at P(6,0)

Step-by-step explanation:

The given objective function is  

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

 P(0,7) = 3(0) + 5(7)

P(0,7) = 0+35

P(0,7) = 35

P(3,7) = 3(3) + 5(7)

P(3,7) = 9+35

P(3,7) = 44

P(6,3) = 3(6) + 5(3)

P(6,3) = 15+15

P(6,3) = 33

P(6,0) = 3(6) + 5(0)

P(6,0) = 18+0

P(6,0) = 18

Answer:

the line equals 180 degrees...

(4q-1)+117= 180

-117 -117

4q-1=63

+1 +1

4q= 64

/4 /4

q= 16 degrees

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

12.5 - (-4.5) = 12.5 + 4.5 = 17

Answer:

288

Step-by-step explanation:

8x12x3

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

Repeated multiplication

\((5 \times 5 \times 5 \times 5 \times 5 \times 5)(5 \times 5 \times 5)\)

Power

\( {5}^{9} \)

If multiplying something with like bases, add the exponents together.

______________________________

 - When doing this, it just means write out each multiplication base being multiplied by itself by the power. So say you have \(4^3\), you would multiply 4 by 4 by 4.

 - When simplifying/multiplying powers, you just add the exponents if the base is the same.

So your answer is:

Expanded form = \(\bold{5}\) × \(\bold{5}\) × \(\bold{5}\) × \(\bold{5}\) × \(\bold{5}\) × \(\bold{5}\) and \(\bold{5}\) × \(\bold{5}\) × \(\bold{5}\).

Simplified form = \(\bold{5^9}\).

______________________________

Answer:

NO

Step-by-step explanation:

square root of 121ft = 11 ft

The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data is given below.

63, 40, 51, 70, 36, 21, 51, 28, 19

Arrange the data in ascending order, then we have

19, 21, 28, 36, 40, 51, 51, 63, 70

Then the mean of the data is given as,

Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9

Mean = 379 / 9

Mean = 42.11

The median of the data is the middle term of the data which is 40.

The mode is 51 because the number frequency of 51 is the highest.

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Answer: slope intercept = m and b = y-intercept

1. m = 3/2 and b = 4

2. m = 1/2 and b = -1

3. m = -2/5 and b = -3

4. m = -5/4 and b = 1

5. m = 0 and b = -2

6. m = -1 and b = 3

7. m = 4 and b = 4

8. m = -1/5 and b = -3

9. m = 4/5 and b = -2

10. m = -5/2 and b = -4

Step-by-step explanation:

using the equation

y = mx + b

The sum of all nodes of height h = 1 is 6.

In a max-heap, the parent node always has a higher value than its children. Additionally, in a post-order traversal of a max-heap, the parent node is visited after its children.

Given that the post-order traversal outputs the sequence 1, 2, ..., 6, 7, we can determine the heights of the nodes as follows:

Node 7: Height 0 (root)

Node 6: Height 1

Nodes 1, 2: Height 2

Nodes 3, 4, 5: Height 3

To find the sum of all nodes of height h = 1, we need to consider the nodes at height 1, which in this case is just Node 6.

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Answer:

The answer is A. 1385 cm2

Step-by-step explanation:

Use the formula A = pi times radius squared

Answer:

A. 1385 cm²

Step-by-step explanation:

Area of a circle is πr²

We know what the radius is, so all we have to do is plug it in.

π(21)²

π(21)²= 1385.44

Since it's approximate, it would just be 1385 cm²

Applying the geometric theorem, the measure of y = 9.

The geometric theorem states that, h = √(ab), where h is the altitude of a right triangle, a nd b are the segments formed when the altitude divides the hypotenuse of a right triangle.

Thus:

y = altitude = ?

a = 3

b = 27

Substitute

y = √(3 × 27)

y = √81

y = 9

Therefore, applying the geometric theorem, the measure of y = 9.

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Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°

If it passes the horizontal lines test, it is a function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Use the vertical line test to determine whether an expression is indeed a function; if so, the expression IS one.

In any case, if the graph passes the vertical line test first, indicating that it is a function, and IF then it also passes the horizontal line test, it indicates that it is not only a function but also a one-to-one function, meaning that there is a unique x-coordinate value for every unique y-coordinate value. However, if it passes the horizontal line test, it doesn't mean much functionally. What the heck is up with the horizontal line test anyway?

The inverse expression of a function is only true for one-to-one functions.

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The volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis is π/2.

We have to determine the volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis.

We will rotate the region near the y-axis using the disc method. Consequently, the curve's equation should be expressed in terms of y.

y = x^2

Taking square root on both side, we get

x = √y

We can write it as

x = y^{1/2}

The volume integral formula is

V = \(\pi\int_{a}^{b}R(x)^2dx\)

The values of a and b are taken from the y-axis since the equation for the curve we need is expressed in terms of y.

Using the curve's equation, if x = 0, y = 0, and if x = 1, y = 1, respectively.

Thus, a = 0 and b = 1 are the values.

Now, we may use definite integral to express the volume.

V = \(\pi\int_{0}^{1}\left[y^{1/2}\right]^2dx\)

Now simplify

V = \(\pi\int_{0}^{1}ydx\)

Now integrating

V = \(\pi\left[\frac{y^2}{2}\right]_{0}^{1}\)

V = \(\pi\left[\frac{(1)^2}{2}-\frac{(0)^2}{2}\right]\)

V = \(\pi\left[\frac{1}{2}-0}\right]\)

V = π/2

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Answer:

a.) Domain: all numbers from 0 to 170   and   d. Range: all numbers from 0 to 60

Step-by-step explanation:

The domain is all of the numbers that the graph is on, over the x-axis. Looking at the x-axis, the graph only spans across 0-170, so the answer would be   a.) Domain: all numbers from 0 to 170.

The range is all of the numbers that the graph is on, over the y-axis. Looking at the y-axis, the graph only spans across 0-60, so the answer would be   d. Range: all numbers from 0 to 60.

A correlation coefficient between average temperature and coat sales exists most likely to be between 0 and -1.

The correlation coefficient exists as the exact measure that quantifies the power of the linear relationship between two variables in a correlation analysis. A correlation coefficient between average temperature and coat sales exists most likely to be between 0 and -1.

A negative correlation suggests two variables that tend to move in opposite directions. A correlation coefficient of -0.8 or lower displays a strong negative relationship, while a coefficient of -0.3 or lower signifies a very weak one.

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Answer:

0 and -1

Step-by-step explanation:

Got it right on the test.

Step-by-step explanation:

the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer