1. Replacement value: $270,000; coverage 80%

Answers

Answer 1

The insurance policy would cover up to $216,000 for the item or property.

If the replacement value of an item or property is $270,000 and your insurance policy provides coverage for 80% of the replacement value, it means that your insurance policy will cover up to 80% of the $270,000 in the event of a covered loss.

To calculate the coverage amount, you would multiply the replacement value by the coverage percentage:

Coverage Amount = Replacement Value * Coverage Percentage

In this case:

Coverage Amount = $270,000 * 0.80

Coverage Amount = $216,000

Therefore, your insurance policy would cover up to $216,000 for the item or property in question. Any losses exceeding this coverage amount would not be covered by your insurance policy.

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Related Questions

A scatterplot includes data showing the relationship between the value of a painting and the age of the painting.

Which graph displays the line of best fit for the data?

A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is too steep.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit goes through the points.
Mark this and return

Answers

The graph that displays the line of best fit for the data is the one where the line with the best fit goes through the points.

To determine which graph displays the line of best fit for the data, we need to analyze the provided options and identify the one that represents the relationship between the value of a painting and the age of the painting accurately.In a scatterplot, the line of best fit represents the trend or relationship between the two variables. It aims to summarize and capture the general pattern of the data points. The line of best fit should pass through the data points in a way that represents the overall trend.Analyzing the options, we see that three of them mention that the line with the best fit is either too steep or not steep enough. These options suggest that the line does not accurately capture the trend of the data.However, the remaining option states that the line with the best fit goes through the points. This implies that the line accurately represents the relationship between the value of a painting and the age of the painting by passing through the data points.Based on this analysis, we can conclude that the graph where the line of best fit goes through the points is the one that displays the most accurate representation of the relationship between the value of a painting and the age of the painting.

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The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 22 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 18.9 feet tal?
e. What is the probability that a randomly selected giraffe will be between 18.6 and 19.5 feet tall?
f. The 80th percentile for the height of giraffes is ft.​

Answers

a. The distribution of X is a normal distribution.

b. The median giraffe height is also 19 feet.

c. The Z-score for a giraffe that is 22 foot tall is 3.

d. The probability that a randomly selected giraffe will be shorter than 18.9 feet tall is less than -0.1.

f. The 80th percentile represents the value below which 80% of the data falls.

a. The distribution of X is a normal distribution (or Gaussian distribution) with a mean of 19 feet and a standard deviation of 1 foot. This can be denoted as X ~ N(19, 1).

b. The median of a normal distribution is equal to its mean.

c. To find the Z-score for a giraffe that is 22 feet tall, we can use the formula: Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get Z = (22 - 19) / 1 = 3.

d. To find the probability that a randomly selected giraffe will be shorter than 18.9 feet tall, we need to calculate the area under the normal curve to the left of 18.9. This can be done using the Z-score and a standard normal distribution table or a calculator.

Alternatively, we can use the Z-score formula from the previous question. The Z-score for 18.9 feet can be calculated as Z = (18.9 - 19) / 1 = -0.1. We can then look up the corresponding probability in the standard normal distribution table or use a calculator to find the probability that Z is less than -0.1.

e. To find the probability that a randomly selected giraffe will be between 18.6 and 19.5 feet tall, we need to calculate the area under the normal curve between these two values.

Again, we can use the Z-score formula to standardize the values and then find the corresponding probabilities using a standard normal distribution table or a calculator.

f. To find the height at the 80th percentile, we can use the standard normal distribution table or a calculator to find the Z-score that corresponds to the 80th percentile.

Once we have the Z-score, we can use the formula Z = (X - μ) / σ to solve for X. Rearranging the formula, we have X = Z * σ + μ. Plugging in the values for Z (obtained from the percentile) and μ (mean) and σ (standard deviation), we can calculate the height at the 80th percentile.

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(|7 − 3 x 5) | ÷ 4)³ + √64

Answers

Answer:

16

Step-by-step explanation:

(|7 − 3 x 5| ÷ 4)³ + √64

(|7 − 3 x 5| ÷ 4)³ + √64

(|7 − 15| ÷ 4)³ + √64

(|7 − 15| ÷ 4)³ + √64

(8 ÷ 4)³ + √64

(8 ÷ 4)³ + √64

2³ + √64

8 + 8

16

Answer:

16

Step-by-step explanation:

To solve, use PEMDAS as it applies to the expression.

First, you must carry out what is in the parenthesis.

Multiply (3*5 = 15), then subtract (7 - 15 = -8). The two little vertical lines surrounding (7 - 3 x 5) mean absolute value. This means that you will write -8 as +8.

Continuing on in the parenthesis, carry out (8 ÷ 4 = 2).

Next, we must do exponents.

We see that everything in the parenthesis is being raised to the power of three (cubed). Since we've solved what was in the parenthesis, we simply need to carry out ([tex]2^{3}[/tex] = 8).

Now, we need to quickly carry out [tex]\sqrt{64}[/tex]. Square roots are just whatever number can be multiplied by itself to get, in this case, 64.

[tex]\sqrt{64} = 8[/tex].

Finally, we must add what remains.

8 + 8 = 16.

So, (|7 - 3 x 5) | ÷ [tex]4)^{3}[/tex] + [tex]\sqrt{64}[/tex] = 16.

When five times a number is decreased by 8, the result is 37. What is the number?

Answers

Answer:

5n - 8 = 37

5n = 45

n = 9

The number is 9.

The equation y-20000(0.95)* represents the purchasing power of $20,000, with an inflation rate of five percent. X represents the
number of years
Use the equation to predict the purchasing power in five years.
Round to the nearest dollar.
$15,476
$17,652
$18,523
$19,500

Answers

The purchasing power in five years will be $15,476.

To predict the purchasing power in five years, we can substitute the value of X as 5 into the equation y = 20000(0.95)^X.

Plugging in X = 5, we have:

[tex]y = 20000(0.95)^5[/tex]

Calculating the expression, we find:

[tex]y ≈ 20000(0.774)[/tex]

Simplifying further, we get:

[tex]y ≈ 15480[/tex]

Rounding the result to the nearest dollar, the predicted purchasing power in five years would be approximately $15,480.

Therefore, the closest option to the predicted purchasing power in five years is $15,476.

So the correct answer is:

$15,476.

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Rounding to the nearest dollar, the predicted purchasing power in five years is approximately $15,480.

To predict the purchasing power in five years using the given equation, we substitute the value of x (representing the number of years) as 5 and calculate the result.

The equation provided is: y = 20000(0.95)^x

Substituting x = 5 into the equation, we have:

y = 20000(0.95)⁵

Now, let's calculate the result:

y ≈ 20000(0.95)⁵

≈ 20000(0.774)

y ≈ 20000(0.774)

≈ 15,480

This means that, according to the given equation, the purchasing power of $20,000, with an inflation rate of five percent, would be predicted to be approximately $15,480 after five years.

By changing the value of x (representing the number of years) to 5, we can use the preceding equation to forecast the buying power in five years.

The example equation is: y = 20000(0.95)^x

When x = 5 is substituted into the equation, we get y = 20000(0.95).⁵

Let's now compute the outcome:

y ≈ 20000(0.95)⁵ ≈ 20000(0.774)

y ≈ 20000(0.774) ≈ 15,480

This indicates that based on the equation, after five years, the purchasing power of $20,000 would be estimated to be around $15,480 with a five percent inflation rate.

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A 52-card deck contains 13 cards from each of the four suits: clubs ♣, diamonds ♦, hearts ♥, and spades ♠. You deal four cards without replacement from a well-shuffled deck so that you are equally likely to deal any four cards.


What is the probability that all four cards are clubs?


13/52 ⋅ 12/51 ⋅ 11/50 ⋅ 10/49 ≈0.0026



13/52 ⋅ 12/52 ⋅ 11/52 ⋅ 10/52 ≈0.0023



1/4 because 1/4 of the cards are clubs

Answers

The probability that all four cards are clubs is approximately 0.0026. Option A.

To understand why, let's break down the calculation. In a well-shuffled deck, there are 13 clubs out of 52 cards.

When dealing the first card, there are 13 clubs out of the total 52 cards, so the probability of getting a club on the first draw is 13/52.

For the second card, after the first club has been removed from the deck, there are now 12 clubs left out of the remaining 51 cards. Therefore, the probability of getting a club on the second draw is 12/51.

Similarly, for the third card, after two clubs have been removed, there are 11 clubs left out of the remaining 50 cards. The probability of drawing a club on the third draw is 11/50.

Finally, for the fourth card, after three clubs have been removed, there are 10 clubs left out of the remaining 49 cards. The probability of drawing a club on the fourth draw is 10/49.

To find the probability of all four cards being clubs, we multiply the probabilities of each individual draw:

(13/52) * (12/51) * (11/50) * (10/49) ≈ 0.0026.

This calculation takes into account the fact that the deck is being dealt without replacement, meaning that the number of available clubs decreases with each draw.

The third option, 1/4, is incorrect because it assumes that each card dealt is independent and has an equal probability of being a club. However, as cards are drawn without replacement, the probability changes with each draw. So Option A is correct.

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Note the complete question is

A 52-card deck contains 13 cards from each of the four suits: clubs ♣, diamonds ♦, hearts ♥, and spades ♠. You deal four cards without replacement from a well-shuffled deck so that you are equally likely to deal any four cards.

What is the probability that all four cards are clubs?

A.) 13/52 ⋅ 12/51 ⋅ 11/50 ⋅ 10/49 ≈0.0026

B.) 13/52 ⋅ 12/52 ⋅ 11/52 ⋅ 10/52 ≈0.0023

C.) 1/4 because 1/4 of the cards are clubs

NO LINKS!! URGENT HELP PLEASE!!

Please help with 21

Answers

Answer:

34.45%

Step-by-step explanation:

A tree diagram shows all possible outcomes of two or more events.

Each branch is a possible outcome and is labelled with the probability of that outcome.

Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.

Draw the next set of branches to represent the second event (side).  Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.

We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening.  Therefore, to find the probability of each combination of events, multiply along the branches.

Sandwich and chips = 35% × 47% = 16.45%

Sandwich and veggies with hummus = 35% × 53% = 18.55%

Slice of pizza and chips = 65% × 47% = 30.55%

Slice of pizza and veggies with hummus = 65% × 53% = 34.45%

Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

The probability that Sophie selects a slice of pizza and veggies is 34.45%.

Calculating the probability of pizza and veggies

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

Sandwich = 35%Chips = 47%Veggies with hummus = 53%Pizza = 65%

The probability of pizza and veggies  is calculated as

P = Pizza * Veggies

Substitute the known values in the above equation, so, we have the following representation

P = 65% * 53%

Evaluate

P = 34.45%

Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

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Juan has some dimes and some quarters. He has no less than 20 coins worth a maximum of $2.75 combined. If Juan has 18 dimes, determine the maximum number of quarters that he could have. If there are no possible solutions, submit an empty answer.

Answers

Juan could have a maximum of 3 quarters.

1. Let's assume Juan has x quarters.

2. The value of x quarters in dollars would be 0.25x.

3. We are given that Juan has 18 dimes, which have a value of 0.10 * 18 = $1.80.

4. The combined value of Juan's dimes and quarters should be less than or equal to $2.75.

5. We can write the equation: 0.25x + 1.80 ≤ 2.75.

6. Subtracting 1.80 from both sides of the equation, we have: 0.25x ≤ 2.75 - 1.80.

7. Simplifying, we get: 0.25x ≤ 0.95.

8. Dividing both sides of the inequality by 0.25, we have: x ≤ 0.95 / 0.25.

9. Evaluating the expression, we find: x ≤ 3.8.

10. Since Juan cannot have a fraction of a quarter, the maximum number of quarters he could have is 3.

11. However, we need to check if the combined value of the dimes and quarters is at least $0.20.

12. If Juan has 3 quarters (0.25 * 3 = $0.75) and 18 dimes ($1.80), the combined value is $0.75 + $1.80 = $2.55.

13. Since $2.55 is less than $2.75, Juan can have 3 quarters.

14. Therefore, the maximum number of quarters Juan could have is 3.

Note: There are no possible solutions where Juan has more than 3 quarters and still satisfies the conditions.

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Geometric mean and Harmonic mean for the values 3, -11, 0, 63, -14, 100 are

Select one:
a. 0 and 0
b. 3 and -3
c. 3 and 0
d. Impossible
e. 0 and 3

Note: Answer C is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answers


​the answer is E
i typed out my explanation here, for some reason i can’t get the format of a square root on this website

The correct answer is an option (d): Impossible.

Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.

For which values is this expression undefined?

Answers

Answer:

x=3

Step-by-step explanation:

You can get the answer by substituting the value of x in the equations, your aim is to find a number that will make both equations equal zero.

In 2010, the population of Houston, Texas, was 2,099,451. In 2017, Houston's population was estimated to be 2,312,717. What is the estimated annual growth rate of Houston's population?

Answers

Answer:

it 10:579

Step-by-step explanation:

it is the anser

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28. You are skiing on a mountain with an altitude of 1000 feet. The angle of depression is 19°. Find the distance you ski down the mountain. Draw a diagram to represent the situation. Round final answer to the nearest tenth.

Answers

Answer:

3071.6 ft

Step-by-step explanation:

In this situation,

We can use sine law,

in which Sin angle = opposite side/ hypotenuse

Similarly

In triangle ABC

SIn A=BC/AC

Sin 19°=1000/AC

Doing criss cross multiplication:

AC= 1000/(Sin 19°)

AC=3071.55 ft

Therefore, the distance I ski down the mountain is 3071.6 ft

Answer:  3071.6 feet

The diagram is below.

==============================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(19) = 1000/x

xsin(19) = 1000

x = 1000/sin(19)

x = 3071.553487

x = 3071.6

Refer to the diagram below.

Note that the angle of depression ACD is equal to the angle of elevation BAC because of the alternate interior angles theorem.

which f(x) function is this?

Answers

Answer:

[tex]f(x) = - 3 {x}^{2} - 6x - 1[/tex]

Solve b + 6 < 14.

Write your answer in set builder notation

Answers

To solve the inequality b + 6 < 14, we can subtract 6 from both sides of the inequality:

b + 6 - 6 < 14 - 6

This simplifies to:

b < 8

Therefore, the solution to the inequality is the set of all numbers b that are less than 8.

In set builder notation, we can represent this solution as:

{ b | b < 8 }

Find the surface area of the regular pyramid shown to the nearest whole number.
to scale.
13 m
6.5-√3 m
9m

Answers

To find the surface area of a regular pyramid, we need to calculate the area of the base and the lateral faces.

The base of the pyramid is a regular triangle with side length 13 m. The area of an equilateral triangle is given by the formula:

Area_base = (√3/4) * side_length^2

Substituting the values, we have:

Area_base = (√3/4) * 13^2

Area_base ≈ 63.24 square meters (rounded to two decimal places)

The lateral faces of the pyramid are congruent isosceles triangles with base length 13 m and height 6.5 - √3 m. The area of an isosceles triangle is given by the formula:

Area_lateral = (1/2) * base_length * height

Substituting the values, we have:

Area_lateral = (1/2) * 13 * (6.5 - √3)

Area_lateral ≈ 49.16 square meters (rounded to two decimal places)

To find the total surface area, we add the area of the base and the area of the lateral faces:

Total_surface_area ≈ Area_base + (3 * Area_lateral)

Total_surface_area ≈ 63.24 + (3 * 49.16)

Total_surface_area ≈ 211.72 square meters (rounded to the nearest whole number)

Therefore, the surface area of the regular pyramid is approximately 212 square meters.

What is the radius of a circle that has a circumference of 68 cm

Answers

Step-by-step explanation:

The formula to calculate the circumference (C) of a circle is C = 2πr, where r represents the radius of the circle.

In this case, the given circumference is 68 cm. Plugging this value into the formula, we can solve for the radius (r):

68 = 2πr

To find the radius, we can divide both sides of the equation by 2π:

r = 68 / (2π)

Using an approximate value of π ≈ 3.14159, we can calculate the radius:

r ≈ 68 / (2 × 3.14159) ≈ 10.8419 cm

Therefore, the radius of the circle, which has a circumference of 68 cm, is approximately 10.8419 cm.

GiveN:-Circumference of Circle = 68 cmTo finD:-Radius of Circle = ??SolutioN:- Circumference = 2 π r 68 = 2 π r 68 = 2 × (22/7) × r 68 = (2 × 22/7) × r 68 = (44/7) × r (44/7) × r = 68 44 × r = 68 × 7 44 × r = 476 r = 476/44➝ r = 10.8 cm

Therefore, The Radius of the Circle is 10.8 cm.

Please solve these:

[tex] \frac{7}{2} - (5x + 4) + 2[/tex]
[tex] - 2 = - \frac{1}{4} (x - 3)[/tex]
[tex] \frac{1}{2} (x - 3) + 6[/tex]

Answers

Step-by-step explanation:

1. Answer is 2

2. Answer is -3

3. Answer is 4

Answer:

i) -5x + 3/2

ii) x = 11

iii) x + 9/2

Hope this is helpful to u..

and please mark me as brainliest..

mark me as brainliest..Happy learning!

15) Find one positive and one negative coterminal angle to 87°

Answers

To find a positive coterminal angle to 87°, we can add or subtract multiples of 360°. Adding 360° to 87° gives us 447°, which is a positive coterminal angle.

To find a negative coterminal angle, we can subtract multiples of 360°. Subtracting 360° from 87° gives us -273°, which is a negative coterminal angle.

Write the numeral in base ten. 7,001eight ​

Answers

The numeral 7,001 eight is equal to 3585 in base ten.

To convert the numeral 7,001 in base eight to base ten, we need to multiply each digit by the corresponding power of eight and sum them up.

Starting from the rightmost digit, we have:

[tex]1 * 8^0 = 1\\0 * 8^1 = 0\\0 * 8^2 = 0\\7 * 8^3 = 3584[/tex]

Adding these values together, we get:

1 + 0 + 0 + 3584 = 3585

Therefore, the numeral 7,001eight is equal to 3585 in base ten.

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Please answer ASAP I will brainlist

Answers

Answer:

f(0) = 1

f(1) = 21.1

Step-by-step explanation:

Do as the problem says:

[tex]f(0)=4^{2.2(0)}=4^0=1\\f(1)=4^{2.2(1)}=4^{2.2}\approx21.1[/tex]

B
C
W
A
E
Use the given diagram to answer the question,
Which line is the intersection of two of the planes
shown?
Which line intersects one of the planes shown?
Which line has points on three of the planes shown?
G

Answers

The line that intersects two of the planes is : Line X

The line that intersects one of the planes is : Line Z

The line that that has points on three of the planes shown is Line Y

How to find the intersection line on the plane?

From this figure you can see that there are 3 different levels and 3 different lines. One line intersects two planes (line X), another line intersects only one plane (line Z). Line Y, on the other hand, has points in all three planes.

A line y has points A and B in all three planes.

A plane is simply a plane that can be intersected by a straight line connecting any two points on the plane.

Therefore, we can conclude from the figure

A line that intersects two planes is: line x

A line that intersects one of the planes is: line Z

A line with points on the three planes shown is Line Y. 

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There are 40 black marbles, 20 blue marbles, and 4 red marbles in a jar.

а. What is the probability of selecting one red marble?
b. What is the probability of selecting one black marble?
c. What is the probability of selecting one blue marble?
d. Which has the highest probability of being selected?
e. Which has the lowest probability of being selected?

Answers

Step-by-step explanation:

a. 4/64= 1/16 for red marble

b. 40/64= 5/8 black marbles

c. 20/64= 5/16 blue marble

d. highest: black marble

e. lowest: red marble

Reynold’s company has a product with fixed costs of $334,000, a unit selling price of $22, and unit variable costs of $19. The break-even sales (units) if the variable costs are decreased by $4 is

Answers

The break-even sales (units) when the variable costs are decreased by $4 is approximately 47,714 units.

To find the break-even sales (units) when the variable costs are decreased by $4, we need to calculate the new unit variable costs and then use the break-even formula.

Fixed costs (F) = $334,000

Unit selling price (P) = $22

Unit variable costs (V) = $19

Change in unit variable costs = $4

New unit variable costs (V') = V - Change in unit variable costs

= $19 - $4

= $15

Now, let's calculate the break-even sales (units) using the formula:

Break-even sales (units) = Fixed costs / (Unit selling price - Unit variable costs)

Break-even sales (units) = $334,000 / ($22 - $15)

= $334,000 / $7

= 47,714.29

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What is the answer 2x2+6

Answers

The answer is 10 hope you welcome

Answer:

2×2=44+6=10

Step-by-step explanation:

First, we multiply 2×2 then the answer we obtain we add to it 6 which in total gives us 10

what is the number of births in year 5?

Answers

Answer:

Step-by-step explanation:

So, if we just roughly observe what goes on with the „hundreds“ digits, it seems it keeps dividing by 2, right?
And that is actually the case, as
816/2=408
408/2=204
204/2=102
Now, we are looking for 102/2=?


Solution: 51

Which model represents a percent error of 25%?
A- A model with 12 squares labeled exact value and 3 squares labeled error.
B- A model with 10 squares labeled exact value and 5 squares labeled error.
C- A model with 9 squares labeled exact value and 3 squares labeled error.
D- A model with 8 squares labeled exact value and 4 squares labeled error.

Answers

The correct answer is A- A model with 12 squares labeled exact value and 3 squares labeled error.

To determine which model represents a percent error of 25%, we need to compare the number of squares labeled "exact value" and "error" in each model and calculate the ratio between them.

Let's calculate the ratio for each model:

Model A: 3 squares labeled error / 12 squares labeled exact value = 0.25 or 25%.

Model B: 5 squares labeled error / 10 squares labeled exact value = 0.5 or 50%.

Model C: 3 squares labeled error / 9 squares labeled exact value ≈ 0.3333 or 33.33%.

Model D: 4 squares labeled error / 8 squares labeled exact value = 0.5 or 50%.

From the calculations, we can see that only Model A represents a percent error of 25%. The other models have ratios of 50% and 33.33%, which do not match the desired 25% error.

Consequently, the appropriate response is A- A model with 12 squares labeled exact value and 3 squares labeled error.

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Listed are 30 ages for Academy Award-winning best actors in order from smallest to largest.
12 14
22 23
35 37
15 20 21
26 28
38 39
47 52
53 55
58 60
61 66 70
72 73 75 78 79
784854
34
40
Find the percentile for age 40.

Answers

Answer:

Step-by-step explanation:

12 14 33 35========1,234,000,124,581.

hmm this is tricky help

Answers

The diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm (option e).

Given that the diameter of the engine cylinder needs to be 5 cm wide with a tolerance of ± 0.005 cm.

To determine the permissible range of the diameter, we need to consider both the upper and lower limits.

Upper limit: Add the tolerance to the desired diameter.

  Upper limit = 5 cm + 0.005 cm = 5.005 cm.

Lower limit: Subtract the tolerance from the desired diameter.

  Lower limit = 5 cm - 0.005 cm = 4.995 cm.

Therefore, the permissible range for the diameter of the engine cylinder is between 4.995 cm and 5.005 cm.

Hence, the final answer is that the diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm.

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Which inequality is equivalent to the given inequality? -4(x + 7) < 3(x - 2)

Answers

Answer:

Step-by-step explanation:

We must simplify and rearrange the variables to divide x in order to determine the comparable inequality to the supplied inequality, -4(x + 7) 3(x - 2).

Below are the steps to solve the problem:

-4(x + 7) < 3(x - 2)

Expanding the equation:

-4x-28<3x-6

Gather the variable term on one side and constants on the other:

Adding -4x and 28 on both sides:

-4x + 4x - 28 + 28 < 3x + 4x - 6 + 28

=>0 < 7x + 22

To make the coefficient of x positive, we divide the entire inequality by 7:

0/7 < (7x + 22)/7

=> 0 < x + 22/7

If the expenditure of a person is 75% of his income and his income tax which is 13% of his income is $585. What is his expenditure?

Answers

The person's expenditure is $1,755. (30 words)

To find the expenditure, we need to determine the person's income first. Since the income tax is 13% of the income and is given as $585, we can calculate the income. Dividing the income tax by the tax rate gives us the income. So, $585 divided by 0.13 equals $4,500, which is the person's income.

Now, we can calculate the expenditure. Given that the expenditure is 75% of the income, we can multiply the income by 0.75 to find the expenditure. So, $4,500 multiplied by 0.75 equals $3,375. Therefore, the person's expenditure is $3,375. (120 words)

In summary, the person's expenditure is $3,375. To find this, we first determined the person's income by dividing the given income tax of $585 by the tax rate of 13%, resulting in an income of $4,500.  

Then, we calculated the expenditure by multiplying the income by 0.75 since the expenditure is stated to be 75% of the income. Thus, the person's expenditure is $3,375.

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