Holly has started to draw an identical kite by plotting A' and B'. What will be the coordinates of C' and D'?​

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

The answer is that the runner can run 10 miles in 70 minutes.

Step-by-step explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like \(\frac{2 miles}{14 minutes}=\frac{x}{70 minutes}\). (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.  

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like \((14)(x)=(2)(70)\). Next, simplify the equation, which will look like \((14)(x)=140\). Then, solve the equation by dividing both sides of the equation by 14, and it will look like \(x=10\). The final answer is that the runner can run 10 miles in 70 minutes.

a) Point estimation = 0.43

b)Requirement 1 = 496 ≥ 10 , Requirement 2 = 657 ≥ 10

c) Confidence interval = (0.402 , 0.459)

d) The range of values will contain the true unknown population mean proportion of workers and retires.

Define population mean?

a) A point estimate for the population of US workers and retirees aged 25 and up who have less than $10,000 in savings.

      = 496 / 1153

      = 0.43

b) The requirements for constructing a confidence interval about p are satisfied.

Requirement 1 np = 1153 x 0.43 = 496 ≥ 10

Requirement 2 n(1 - p) =1153 x (1 - 0.43) = 657 ≥ 10

c) α = 0.05

Critical  values are given in table , Z = ± 1.96

Confidence interval  = 0.43 ± 1.96 x \(\sqrt{\frac{0.43 * (1 - 0.43)}{1153} }\)

                                  = (0.402 , 0.459)

d) The 95% CI (0.402, 0.459) is a range of values that we are confident will contain the true unknown population mean proportion of workers and retirees in the United States aged 25 and older who have less than $10,000 in savings.

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Answer:

Step-by-step explanation:

3:12 7:28

The means are the second and third terms in the proportion.

The extremes are the two outside terms.

12 and 7 are the means.

(3 and 28 are the extremes.)

So thre answer is D.  12 and 7.

Answer:

option d 34⁰

Step-by-step explanation:

Your Required Answer is 34⁰

I hope It helped you

Answer:

A. y = $800 + $1.50x

B. The cost to run the company each month = y

C. The initial cost ($800) plus the cost of each t-shirt ($1.50) and the number of t-shirts (x)

Step-by-step explanation:

I hope this helps :)

Answer:

8 feet is the shortest possible with the room could have

Step-by-step explanation:

12×8=96

Answer:

8 is the smallest width the room could be

Step-by-step explanation:

s represents the number that is the smallest the room could be

12s = 96

divide both sides by 12

12s/12 = 96/12

s = 8

Answer:

C) ΔEFG ≅ΔLMN

Step-by-step explanation:

C) ΔEFG ≅ΔLMN

Answer:

\(\huge\boxed{x=28\ ft}\)

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

\(\dfrac{x}{42}=\dfrac{36}{54}\)

cross multiply

\(54x=(42)(36)\\\\54x=1512\)

divide both sides by 54

\(\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28\)

The total cost of the laptop $778.63

The sales tax rate is 8.75%

= 8.75/100

= 0.0875

The listed price of the laptop is 715.98

= 0.0875 × 715.98

= 62.65

The total cost can be calculated as follows

= 62.65 + 715.98

= 778.63

Hence the total cost of the laptop with sales tax included is $778.63

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Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

Answer:

True

Step-by-step explanation:

sorry need the pointes

Answer:

true

Step-by-step explanation:

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

y = 5x + 1

Step-by-step explanation:

Visually you can see the slope is -1/5, perpendicular just means opposite inverse so -1/5 becomes 5. Line crosses the y-intercept at point (0, 1).

y = mx + b

y = 5x + 1

Answer:

C.

Step-by-step explanation:

Just took the test

Answer:

10 units up

Step-by-step explanation:

An example of this is where the graph changes from (0,0) to (0,10)

Have an amazing day!

PLEASE RATE!!

Discuss measures that can be taken to develop the spirit of hard work

Answer:

n 3 is the correct answer okay

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

1+2

Step-by-step explanation:

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

The value is -6.

Step-by-step explanation:

First, you use subsitution.

4(3) - 3(6)

Then, you multiply.

12 - 18

Do the subtraction and you're left with -6 as your answer.

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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The following image coordinates are listed below:

Herein we have the coordinates of a vertex of the trapezoid on a Cartesian plane, which is modified by applying a rotation, a kind of rigid transformation rule. Let assume that the rotation is done around the origin of the Cartesian plane, the coordinates of the image are equal to:

(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where:

Now we proceed to calculate the coordinates for each case:

Case 1

y' = x · sin θ + y · cos θ

y' = 1 · sin (- 90°) - 10 · cos (- 90°)

y' = - 1

Case 2

y' = x · sin θ + y · cos θ

y' = 1 · sin 90° + 9 · cos 90°

y' = 1

Case 3

x' = x · cos θ - y · sin θ

There are two possibilities:

(i) Counterclockwise

x' = 8 · cos 90° - 9 · sin 90°

x' = - 9

(ii) Clockwise

x' = 8 · cos (- 90°) - 9 · sin (- 90°)

x' = 9

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