What are the x- and y-intercepts?

0,3
1,20
3,36
5,28
7,0

0.9270 is the probability that at least one of the students will select a president who did not serve in the military.

Simply expressed, probability is a measure of how likely something is to occur. If we are unsure how an event will unfold, we might debate the probabilities of possible possibilities, or how likely they are. Statistics is the study of events that are susceptible to probability.

Given that Mrs. Wheeler prepares a list.  The list consists of 43 US presidents out of which 31 served in the military. Remaining 12 no military service.

Now 8 students each select a president at random.

Let X be the no of persons selected who  did not serve in military.

X is a random variable with two outcomes non military or military.

Each student is independent of selecting hence X is binomial

X:B(n = 8, p = 12/43)q = 1-p = 31/43

Probability that at least one of the students will select a president who did not serve in the military = 1-Probability that noone of the students will select a president who did not serve in the military

=P(X≥1)=

= 1-P(X=0)

= 1 - (31/43)^8

= 0.9270

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Answer:

Step-by-step explanation:

{x,y,z}={−5,−6,1}

The car with the better mileage is the hybrid car.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

Compact car:

288 miles with 9 gallons of gas.

This means,

y = 32x

Where y is the distance traveled with x gallons

The distance traveled per gallon.

= 288/9

= 32 miles

Hybrid car:

y = 42x represents the distance traveled with x gallons.

Where y is the distance traveled with x gallons

The distance traveled per gallon.

y = 42 x 1 = 42 miles

Thus,

The hybrid car gets better mileage.

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The complete question is:

A new compact car can travel 288 miles on nine gallons of gas. The distance driven in miles y varies directly with the number of gallons of gas x. This situation can be represented by the equation y= 32x.

The distance y traveled by a hybrid car using x gallons of gas can be represented by y = 42x. Which car gets better gas mileage? Explain.

Answer:

The answer is d: 24 square meters

1) \(x^2x^3\)

\(=x^{2+3}\)

\(=x^5\\\)

2) \(a^9a\)

\(=a^{9+1}\)

\(=a^{10}\)

3) \(\left(4x^2\right)\left(3x^5\right)\)

\(=4\cdot \:3x^{2+5}\)

\(=4\cdot \:3x^7\)

\(=12x^7\)

\(\huge\mathtt\orange{\underline{\overline{\color{blue}{\mid{\color{green}{Answer}}{\mid}}}}}\)

by using indices rule

which is

\(☞\:{a}^{m}\:×\:{a}^{n}\:=\:{a}^{m\:+\:n}\)

.

\(⟶\:{x}^{2}\:•\:{x}^{3}\)

\(⟶\:{x}^{5}\)

__________________________________

\(⟶\:{a}^{9}\:•\:a\)

\(⟶\:{a}^{10}\)

__________________________________

\(⟶\:{(4x)}^{2}\:•\:{(3x)}^{5}\)

\(⟶\:{12x}^{7}\)

Answer:

(-2, 2)  ==>  Choice B

Scale factor: 2

Step-by-step explanation:

The circle is dilated around its center which is at (-2, 2)

The radius of C is 2 and the radius of C' is 4 so the scale factor of dilation is 2

Answer:

\(Amount = 55440in^3\)

Step-by-step explanation:

Given [Missing piece]

\(h = 9in\) --- height

\(r = 7in\) --- radius

\(n = 120\) --- number of cones

Required

How much foam for 120 cones

First, calculate the volume of 1 cone

\(V = \frac{1}{3}\pi r^2h\)

\(V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9\)

\(V = \frac{1}{3} * 22 * 7 * 9\)

\(V = 22 * 7 * 3\)

\(V = 462in^3\)

So, the amount of foams needed for 120 is:

\(Amount = 120 * V\)

\(Amount = 120 * 462in^3\)

\(Amount = 55440in^3\)

Answer:33333333333333333333333333333333333

Step-by-step explanation: This isnt the answer i need points

Below is the answer

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The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.

To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.

The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:

Distance = (z-score * standard deviation) + mean

Distance = (0.674 * 14) + 263

Distance ≈ 9.436 + 263

Distance ≈ 272.436

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Therefore , the solution of the given problem of combination comes out to be  479001.6.

Combinations are mathematical procedures that count the number of possible configurations from a set of items, where the selection direction is immaterial. You can select any arrangement of the parts in any combination. It's possible to mix together combinations and permutations.

Here,

Given : four ambassadors and one advisor for each of them are to be seated at a round table with 12 chairs numbered in order 1 to 12..

and n ways for seating 8 people.

Thus , to find this permutation- combination arrangement .

So,

nPr => 6 P 6 and * 12P6

nPr =>  665280 * 720

nPr = > 47,90,01,600

and divide it by 1000 .

So ,

=> 479001600/1000

=> 479001.6

Therefore , the solution of the given problem of combination comes out to be  479001.6.

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Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.

The numerator represents the number of parts we have out of the whole, while the denominator represents the total number of equal parts that make up the whole.

By decreasing the numerator, we are essentially reducing the number of parts we have, while the total number of parts remains the same. This means that the fraction represents a smaller portion of the whole, resulting in a smaller value.

Therefore, If the numerator of a fraction decreases while the denominator remains constant, the value of the fraction decreases.

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Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

The correct choice is OA. Equation Dx = b has a solution for each bin R7. According to the Invertible Matrix Theorem, a matrix is invertible if the columns of the matrix form a linearly independent set this would mean that the equation Dx = b has at least one solution for each bin R7.

If the columns of a 7x7 matrix D are linearly independent, it means that the matrix D is invertible. According to the Invertible Matrix Theorem, a matrix is invertible if the columns of the matrix form a linearly independent set. This implies that the equation Dx = b has at least one solution for each bin R7. Therefore, if the columns of a 7x7 matrix D are linearly independent, the equation Dx = b has a solution for each bin R7.

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Answer:

11.5% of 221.9=11.5/100×221.9=0.115×221.9=25.5185=26

Answer:

18

Step-by-step explanation:

Solve the question in steps

(8+36)/11

44/11=4

Now you have 4+7x2

You do multiplication first

4+14=18

Answer:

-2

Step-by-step explanation:

Quartiles divide the data into four parts. The upper and the lower quartile of the given data are 75 and 63, respectively

Quartiles can be said as the entities which divide any given numerical data into 4 sections or we can say quarters which are called quartiles.

The upper and lower quartile of the given data set can be found as shown below. Therefore, we can write,

(i) First we shall arrange the data given from the smallest to largest as shown below.

58,59,60,62,64,67,68,69,70,73,74,75,75,76,78,81

(ii)Then find the median value which comes out to be 69.5, this median is the second quartile of the given data and divides the data into two parts.

(iii) Thus the lower quartile will be the median of the first half of the data including the median which is 63.

(iv)And the upper quartile will be the median of the other half of the data including the median which is 75.

Hence, the upper and the lower quartile of the given data are 75 and 63, respectively.

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Ina should produce 68.24 metric tons of lemon drink to maximize revenue.

To maximize revenue, Ina needs to determine the optimal production quantity of lemon and orange drinks. She can do this by calculating the contribution margin for each product, which is the difference between the selling price and the variable cost per unit.

In this case, the variable cost includes the amount of water solution, sugar, and vitamin mix used for each product. By dividing the available quantity of each ingredient by the amount used for each product, Ina can determine the maximum production quantity for each product.

Using these quantities and the contribution margin for each product, Ina can calculate the total revenue for each production scenario.

The production quantity that yields the highest revenue is the optimal production quantity. In this case, the optimal production quantity for lemon drink is 68.24 metric tons, which would yield a revenue of 4,026,143 SEK.

Hence, to maximize revenue, Ina should produce 68.24 metric tons of lemon drink.

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Two-step equations are simple but have one critical rule — you must use the inverse order of operations. When you're able to (partly) put aside what you've learned about PEMDAS and the order of operations, you can solve for the variable of any two-step equation.

Now, According to the question:

Since the purpose of solving two-step equations is to determine the value of x, the multiplication or division of the coefficient attached to x must be the last step. Because of this, you must use inverse operations to solve two-step equations. This means adding and subtracting first, then multiplying and dividing. Adding and subtracting are usually the last steps in the order of operations, while multiplication and division are early steps.

Let's use this inverse order to solve for variable x in this two-step equation example:

4x + 13 = 37

Using inverse operations, the first step to solving this two-step equation example is to subtract 13 from 37. The left-hand side will now equal 4x and the right side will equal 24

4x = 24

Let's solve for x by dividing by 4. The value of the variable x will now be...

x = 6

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Based on the information provided, Vince placed the brake anchor 42 feet away from the base of the ending tree. This distance includes both the length of the bungee cord (24 feet) and an additional 18 feet to allow for stretching.

To determine whether this placement will be sufficient for the brake to reach the tree, we need to consider the length of the bungee cord when it is fully stretched. If the stretched length of the bungee cord exceeds the distance between the brake anchor and the tree, then the brake will not reach the tree and the jump may not be safe.

Assuming that the bungee cord stretches by a factor of 1.5, the stretched length would be:

Stretched length = 1.5 x 24 feet = 36 feet

To determine whether the brake will reach the tree, we need to add the stretched length of the bungee cord to the distance between the brake anchor and the tree:

Total distance = 42 feet + 36 feet = 78 feet

If the distance between the base of the ending tree and the brake anchor is less than or equal to 78 feet, then the brake should just reach the tree when the bungee cord is fully stretched. Otherwise, the brake may not reach the tree and the jump may not be safe.

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Answer:

Jack's fathers work is 1350 miles away from home

Step-by-step explanation:

Equation for trip 1:

Usual speed=x

Time=30 minutes

Formula for distance: d=st

d=30x

Equation for trip 2:

Speed= x-30

Time=90 minutes

d=90(x-30)

Now we solve for x using simultaneous equations:

30x=90(x-30)

x=45

Now to find d we sub in our new found value into one of the two equations (it doesn't matter which one)

d=30(45)

d=1350 miles

The value of m can be found by using the properties of midpoints and their relationship to the sides of the figure.

When G, d, and f are midpoints of their respective sides, it forms a special type of quadrilateral known as a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Additionally, the opposite angles are also congruent.

Let's consider the given situation. G, d, and f are midpoints of their respective sides. This means that segment GD is parallel and congruent to segment GF, and segment DF is parallel and congruent to segment dG.

Since opposite sides of the parallelogram are parallel, we can conclude that angle G is congruent to angle f, and angle d is congruent to angle D.Now, let's focus on the interior angles of the parallelogram. The adjacent angles in a parallelogram are supplementary, which means they add up to 180 degrees.

Angle G and angle d are adjacent angles, so they are supplementary. Therefore, angle G + angle d = 180 degrees.Similarly, angle f and angle D are adjacent angles, so they are also supplementary. Thus, angle f + angle D = 180 degrees.

We know that angle G is congruent to angle f and angle d is congruent to angle D. So, we can substitute the congruent angles in the above equations:

Angle G + angle d = 180 degrees (equation 1)

Angle f + angle D = 180 degrees (equation 2)

Since angle G and angle f are congruent, we can rewrite equation 1 as:

Angle G + angle G = 180 degrees

2 * angle G = 180 degrees

angle G = 90 degrees

Similarly, since angle d and angle D are congruent, we can rewrite equation 2 as:

Angle D + angle D = 180 degrees

2 * angle D = 180 degrees

angle D = 90 degrees

Hence, the measure of angle m" is 90 degrees.

In a parallelogram, the diagonals bisect each other, and the diagonals also divide the parallelogram into four congruent triangles. This property is useful in proving various relationships and properties of angles and sides within a parallelogram. Understanding the properties and characteristics of parallelograms can help in solving various geometric problems and proofs.

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Answer:

6%

Step-by-step explanation:

Find the percent increase by dividing the difference in costs by the original cost last year, then multiplying it by 100

((2550 - 2400) / 2400) x 100

(150 / 2400) x 100

= 6.25

To the nearest percent, this will round down to 6.

So, the percent of increase is approximately 6%

Answer:

First of all he goes throughout the whole WORLD so UK would take an average of 30 an hour. Santa would travel an approx. of 650 mph per second

Step-by-step explanation:

78 miles per household, a total trip of 75-1/2 million miles, not counting stops to do what most of us must do at least once every 31 hours, plus feeding and etc. This means that Santa's sleigh is moving at 650 miles per second, 3,000 times the speed of sound.

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The correct answer is $56,000.the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables

To determine the total profit for Pinewood Furniture Company, we need to calculate the profit generated from producing 200 chairs and 400 tables.

Each chair generates a profit of $80, and if 200 chairs are produced, the total profit from chairs would be:

200 chairs * $80/profit per chair = $16,000.

Similarly, each table generates a profit of $100, and if 400 tables are produced, the total profit from tables would be:

400 tables * $100/profit per table = $40,000.

Therefore, the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables, would be:

$16,000 (profit from chairs) + $40,000 (profit from tables) = $56,000.

Hence, the correct answer is $56,000.

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