The figure below correctly plots ABC at (0,0),
(6,9), and (9,3). If the center of dilation is the
origin, plot this triangle dilated with a scale factor
of two-thirds

The correct answer is b. Expected value. The mean of a discrete random variable generalizes the concept of expected value. The expected value of a discrete random variable is the weighted average of all possible outcomes, where the weights are the probabilities associated with each outcome.

It represents the long-term average value that we would expect to observe if we repeated the random experiment multiple times.

In the context of a discrete random variable, the mean (or expected value) is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. It provides a measure of central tendency and represents the average value we would expect to obtain from the random variable over a large number of trials.

The population mean (mean of a variable) refers to the average value of a variable in the entire population, not specifically related to a random variable. The sample mean is the average value of a variable calculated from a sample of observations. The distribution of a discrete random variable refers to the pattern of probabilities associated with each possible outcome of the variable.

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Answer:

(0,0)

Step-by-step explanation:

Since the input is (5, -6), according to the rule,

(5, -6) → (5 - 5, -6 + 6)

Hence,

(5, -6) → (0, 0)

(0,0) is the output when (5, -6) is the input.

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Answer:

x1= 79, x2= -83

Step-by-step explanation:

seperate into 2 possible cases

x+2=81

x+2= -81

subtract 2 from both sides

x= 79

x= -83

The dimensions of the golf hole found using the indicated variable expressions are as follows;

a. The area of the golf hole is 4·x² + 12·x

b. The perimeter of the golf hole is 8·x + 8

c. The perimeter of the golf hole if the area of the hole is 216 square feet is 56 feet

The perimeter of a geometric figure is found by the length of the boundary of the figure.

a. The area of the gulf hole is found as follows;

The area is a composite figure, which consists of a rectangle of length 3·x and width (x + 4) and a square of length x

Which indicates that the area is A = 3·x × (x + 4) + x×x = 3·x² + 12·x + x²

The area of the hole, A = 3·x² + 12·x + x² = 4·x² + 12·x

The area of the hole is A = 4·x² + 12·x

b. The perimeter of the hole is found as follows;

P = (x + 4) + 3·x + (x + 4) + x + x + x = 8·x + 8

The perimeter of the hole = 8·x + 8

c. The area of the golf hole = 216 square feet, which indicates;

4·x² + 12·x = 216

4·x² + 12·x - 216 = 0

x² + 3·x - 54 = 0

(x + 9)·(x - 6) = 0

x = 6 or x = -9

The perimeter of the golf hole is therefore;

P = 8 × 6 + 8 = 56

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Answer:

g(x) = (x - 4) (x + 5)

Step-by-step explanation:

(x - 4) (x + 5)

= x² + 5x - 4x - 20

= x² + x  - 20

So, the answer is g(x) = (x - 4) (x + 5)

Miles walk a total of 8 miles.

First, we need to take $8 away from the total ($26) to get $18.

Then, we divide $18 by 2 to get the total distance, which is 9 miles.

Answer:

Lani saved during 12 months

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

Answer:

1.7 m/s

Step-by-step explanation:

1/3 mile = 536 m

1/12 hour = 5 minutes = 300 second

volecity = s/t = 536 / 300 = 1.7 m/s

9514 1404 393

Answer:

  4 miles per hour

Step-by-step explanation:

Speed is the ratio of distance to time:

  speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4

Mr. M's walking speed is 4 miles per hour.

The greatest common divisor of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

To find the greatest common divisor (GCD) of 6, 14, and 21 and write it in the form 6r 14s 21t, we can use the Euclidean algorithm.

Step 1: Find the GCD of 6 and 14.
- Divide 14 by 6: 14 ÷ 6 = 2 remainder 2
- Replace 14 with 6 and 6 with 2: Now we have 6 and 2.
- Divide 6 by 2: 6 ÷ 2 = 3 remainder 0
- Since the remainder is 0, the GCD of 6 and 14 is 2.

Step 2: Find the GCD of the result from step 1 (2) and 21.
- Divide 21 by 2: 21 ÷ 2 = 10 remainder 1
- Replace 21 with 2 and 2 with 1: Now we have 2 and 1.
- Divide 2 by 1: 2 ÷ 1 = 2 remainder 0
- Since the remainder is 0, the GCD of 2 and 21 is 1.

Therefore, the GCD of 6, 14, and 21 is 1. In the given form 6r 14s 21t, r would be 0, s would be 0, and t would be 1.

So, the GCD of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

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Answer:

it's number 4

Step-by-step explanation:

(5 × 8) + 1/2(5 × 5) = 40 + 25/2 = 40 + 12.5 = 52.5

The number that is not equal to the others is d.

a. 0.84% is equal to 0.0084 in decimal form.

b. (0.21)(0.04) is equal to 0.0084.

c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.

d. This is the number that is not equal to the others. We don't have the value of d.

e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.

To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.

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Answer:

2

Step-by-step explanation:

The period is the distance between two peaks

The probability is approximately 0.274.

To find the probability that exactly 2 of the 5 elks caught were previously tagged, we can use the concept of combinations.

There are a total of 25 elks, out of which 6 were tagged and released. So, the probability of selecting a previously tagged elk is 6/25.

To calculate the probability of exactly 2 of the 5 caught elks being previously tagged, we need to consider the number of ways we can choose 2 tagged elks out of the 6 tagged elks and 3 non-tagged elks out of the remaining 19 non-tagged elks. This can be calculated using combinations.

The number of ways to choose 2 tagged elks out of 6 is given by C(6, 2) = 6! / (2! * (6-2)!) = 15.

Similarly, the number of ways to choose 3 non-tagged elks out of 19 is given by C(19, 3) = 19! / (3! * (19-3)!) = 969.

The total number of ways to choose 5 elks out of 25 is given by C(25, 5) = 25! / (5! * (25-5)!) = 53,130.

Therefore, the probability of exactly 2 of the 5 caught elks being previously tagged is:

(15 * 969) / 53,130 ≈ 0.274 (rounded to 3 decimal places).

Hence, the probability is approximately 0.274.

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Answer:

7,147.8

Step-by-step explanation:

i used a calculator

The Equation of the line can be represented as :

\( \longrightarrow \: y = mx + b\)

where, m is slope of the line.

now, let's solve for b , by plugging the values of "x" , "y" and "m"

\( \longrightarrow \: 5 = (4 \times 0) + b\)

\( \longrightarrow \: b = 5\)

Therefore, the equation of above line is

\( \large \boxed{ \mathrm{y = 4x + 5}}\)

\( { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}\)

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

\(Right = 60\)

\(Upside\ down = 53\)

\(Side = 37\)

Required

First, we calculate the probability of landing on side

\(P(Side) = \frac{n(Side)}{Total}\)

\(P(Side) = \frac{37}{150}\)

\(P(Side) = 0.247\)

Next, we calculate the expected value; E(x) using:

\(E(x) = n * P(x)\)

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

\(E(x) = 100 * 0.247\)

\(E(x) = 24.7\)

\(E(x) = 25\) --- approximated

Hence, it is expected that it will land on its side 25 times

Answer:

I wanted to help

Step-by-step explanation:

But I am not good in math. sorry

In order ton solve the given inequality, the first thing we have to do is to get rid of the "| |" by applying the solution of the absolute value function, like this:

|2x - 15| < 7

Then;

-7 < 2x - 15 < 7

Now, let's solve for x from each one of the expressions we got, like this:

• For -7 < 2x - 15

-7 + 15 < 2x

8 < 2x

8/2 < x

4 < x

x > 4

• For 2x - 15 < 7

2x < 7 + 15

2x < 22

x < 22/2

x < 11

Then, x < 11 and x > 4 is the solution for the given inequality

This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

Suppose a political advisor is interested in the proportion of the vote an opponent will receive. If he samples voters randomly and tests hypotheses regarding p, the population proportion, he should do the following to reduce his risk of making a Type II error:To reduce the risk of making a Type II error, a political advisor interested in the proportion of the vote an opponent will receive, if he samples voters randomly and tests hypotheses regarding p, the population proportion should ensure that he has a larger sample size for testing. A larger sample size can help in making his results statistically significant and that the results are a true representation of the population.Proper sampling can also help to reduce the risk of a Type II error. Random sampling of the voters ensures that there is no bias in the selection process, which can skew the results. A random sample of voters is a fair representation of the population, and results obtained from a random sample are more likely to be accurate. This reduces the likelihood of a Type II error.The advisor should also increase the alpha level to reduce the risk of a Type II error. By increasing the alpha level, he is lowering the rejection region, which will reduce the likelihood of a Type II error. This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

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Answer:

Step-by-step explanation:

The easiest way to explain this is to use slope and then writing equations for lines. The reason for that is because we are told that the production uniformly increases. That "uniform increase" is the rate of change, and since the rate of change is constant, we are talking about the slope of a line, where the rate of change is constant throughout the whole length of the line.

Create coordinates from the info given:

In the third year, 600 units were made. Time is always an x thing, so the coordinate is (3, 600). Likewise for the other bit of info. Time is always an x thing, so the coordinate is (7, 700). Applying the slope formula:

\(m=\frac{700-600}{7-3}=\frac{100}{4}=25\)  which means that 25 units per year are produced. Write the equation to find the number of units produced in any year. I used the point-slope form of a line to do this:

y - 600 = 25(x - 3) and

y - 600 = 25x - 75 so

y = 25x + 525

If we want to know the number of units in the first year, we will replace x with 1 and do the math:

y = 25(1) + 525 so

y = 550 units, choice C.

Answer:

yummy

Step-by-step explanation:

Answer:

12+12= 24

Step-by-step explanation:

Answer:

B. 4w + 10 = 46

Step-by-step explanation:

If we let l be the length of the rectangle and w its width

Fact 1: A rectangle's length is 5 centimeters greater than its width
This translates to l = w + 5 (1)

Fact 2: he perimeter of the rectangle is 46 centimeters
Perimeter is given by 2(l + w)
So fact 2 translates to:
2(l + w) = 45
2l + 2w = 46  (2)

Substitute l = w + 5 from (1) for l in (2):

2(w + 5) + 2w = 46
2w + 10 + 2w = 46

4w + 10 = 46

This is Option B

Answer:

C. 2w + 5 = 46

Reason why is because a rectangle has 4 sides, but you only want to multiply length times the width, to get the perimeter, which is why 2w in the equation is correct.

It also says 5 centimeters greater, the is why it would be + 5 instead of 10.

Step-by-step explanation:

Hope it helps! =D

The sides of a quadrilateral are in the ratio 2:3:4:5, with a perimeter of 560 cm. The length of the four sides are 80 cm, 120 cm, 160 cm, and 200 cm.

Let the sides of the quadrilateral be 2x, 3x, 4x, and 5x.

According to the problem, the ratio of the sides is 2:3:4:5.

The perimeter of the quadrilateral is the sum of its four sides, which is:

2x + 3x + 4x + 5x = 14x

We are given that the perimeter is 560 cm, so:

14x = 560

Dividing both sides by 14, we get:

x = 40

Therefore, the sides of the quadrilateral are:

2x = 80

3x = 120

4x = 160

5x = 200

So, the lengths of the sides are 80 cm, 120 cm, 160 cm, and 200 cm.

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The time taken when the person wants to burn 250 calories will be 42.37 minutes.

From the information, the 150-pound person uses 5.9 calories per minute when walking at a speed of 4 mph.

Therefore, the time taken when the person wants to burn 250 calories will be:

= Number of calories / 5.9

= 250 / 5.9

= 42.37 minutes.

Therefore, the time taken when the person wants to burn 250 calories will be 42.37 minutes.

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The operation of 1 * (-1) * 2 equals option D. 2.

Binary operations are the operations which are performed on a specific set.

If the operation is defined on a set X, then binary operation can be defined as,

* : X * X → X.

Addition, subtraction, ... are some of the binary operations.

The given binary operation is defined as,

a * b * c = \(a^b-b^c+c^a\)

We have to find the value of 1 * (-1) * 2.

By the definition,

1 * (-1) * 2 = \(1^{-1}-(-1)^{2}+2^1\)

              = 1 - 1 + 2

              = 2

Hence the correct option is D.

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Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3