What is the first step?5∣+4∣=20Group of answer choicesGet absolute value alone by dividing by 5 on both sidesGet absolute value alone by subtracting 5 from both sidesSplit into two equations

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

11.2 i think so but you will write 11.2

Answer:

the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.

Step-by-step explanation:

Let the original price of each costume be $x. The sale price of each costume will be $(x-3.50). Ms. Monroe ordered 24 costumes, so the cost of 24 costumes at the sale price will be:

24 × (x-3.50) = $24x - $84

Ms. Monroe paid $516 in all, so we can write:

24x - 84 = 516

Adding 84 to both sides, we get:

24x = 600

Dividing both sides by 24, we get:

x = 25

Therefore, the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.

Answer: so Ms.Monroe got $84 off her entire purchase

Step-by-step explanation: I hope it helps

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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Answer:

The answer is c

Step-by-step explanation:

The statement that best describes triangle MON is (c) The triangle is isosceles and possibly equilateral.

The congruent triangles are:

Triangle MNO and Triangle NMO

The above means that:

Sides MN and NO or MN and MO are equal

So, the triangles are isosceles triangles

However, it is possible that sides NO and MO are congruent

Hence, the statement that best describes triangle MON is (c) The triangle is isosceles and possibly equilateral.

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Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Answer:

1 : 8

Step-by-step explanation:

Answer:

$8 per hour

Step-by-step explanation:

First you have to do 16/2 or 32/4 to get your answer which is 8

Hope this helps!

Answer:

butt

Step-by-step explanation:

Step-by-step explanation:

what do we do, if we want to know how often something fits into another thing ?

we divide.

as we want to know how many 1/5 cups fit into 5 3/8 cups.

so,

(5 3/8) / (1/5)

5 3/8 = (8×5+3)/8 = 43/8

(43/8) / (1/5)

now we also know : dividing by a fraction is the same as multiplying with the upside-down fraction.

(43/8) × (5/1) = (43/8) × 5 = 43×5/8 = 215/8 = 26 7/8

so, there are 26 1/5 cups servings in 5 3/8, with a remainder of 7/8 of a 1/5 cup = 7/8 × 1/5 = 7/40 cup.

There are 5 blue marbles and 10 total marbles.

The probability of picking blue is the number of blue marbles/ total marbles.

Probability = 5/10 which reduces to 1/2

The answer is 1/2

Answer:

509

Step-by-step explanation:

formula

L = a + (n - 1)*d

Givens

n = 57

a = 5

d = 9

Solution

t = 5 + (57 - 1)*9

t = 5 + 56*9

t = 5 + 504

t = 509

t = 556

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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Answer:

D. The function is always ingcreasing

Answer:

5 seconds

Step-by-step explanation:

(60 / seconds = GPM)

60 / 5 = 12 GPM

12 GPM = 60 seconds

Simplified

1 Gallon is 5 seconds

Answer:

5

Step-by-step explanation:

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

True

Step-by-step explanation:

4*(-5)=-20

-20=-20

Answer:

4 * -5 = -20; true

Step-by-step explanation:

4 * -5 = -20

This is true because 4 * -5 is -20.

Answer:

\(\huge\boxed{\sf k =3}\)

Step-by-step explanation:

Graph shows that:

y ∝ x (y is directly proportional to x)

Changing proportionality into equality

y = kx  ------------(1)

Where k is the constant of proportionality

From the graph, we have y = 6 when x = 2

Putting this in Eq. (1)

6 = k(2)

Divide both sides by 2

3 = k

OR

k = 3

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(\large{\pink{ \underline { \underline{ \red{ \boxed{ \blue{ \sf{k = 3}}}}}}}}\)

If two lines with slopes m₁ and m₂ are perpendicular, then:

Isolate y to write the given line in slope-intercept form. Identify the slope of the line as the coefficient of x and find the slope of a line perpendicular to it using the given relationship between the slopes of perpendicular lines.

Starting from the equation:

Isolate y:

Then, the slope of the given line is -1/3. Let m be the slope of a line perpendicular to -3x-9y=-4. Then:

Therefore, the slope of a line perpendicular to the given line is 3.

Two parallel lines have the same slope.

Therefore, the slope of a line parallel to the given line is -1/3.

The Dcpromo wizard will guide you through e. All of the above installation scenarios

A utility in Active Directory called DCPromo (Domain Controller Promoter) installs and uninstalls Active Directory Domain Services and promotes domain controllers. Since Windows 2000, every version of Windows Server contains DCPromo, which creates forests and domains in Active Directory. It works with Windows Server and houses all network resources as a centralised security management solution.

The functionality aids in building a completely new forest structure. It allows for both the addition of a new domain tree to an existing forest and the addition of a child domain to an existing domain. Additionally, it degrades the domain controllers and ultimately deletes a domain or forest.

Complete Question:

The dcpromo wizard will guide you through which of the following installation scenarios? [check all that apply]

Creating an entirely new forest structure.

Adding a child domain to an existing domain.

Adding a new domain tree to an existing forest.

Demoting domain controllers and eventually removing a domain or forest

All of the above

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Answer:

x = 1

Step-by-step explanation:

29x + 2 = 31

       -2      -2

29x = 29

-----    -----

29      29

x = 1

The percent error of the house of the pizza would be 2.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer:

Step-by-step explanation:

20% of 80 is 16.

6% of 150 is 9.

30% of 200 is 60.

65% of 400 is 260.

50% of 150 is 75.

1 Let x be the unknown number. Then we have the equation:

0.04x = 28

Solving for x, we divide both sides by 0.04:

x = 28 ÷ 0.04 = 700

Therefore, 28 is 4% of 700.

2. Let x be the unknown number. Then we have the equation:

0.25x = 100

Solving for x, we divide both sides by 0.25:

x = 100 ÷ 0.25 = 400

Therefore, 25% of 400 is 100.

3 Let x be the unknown number. Then we have the equation:

0.75x = 69

Solving for x, we divide both sides by 0.75:

x = 69 ÷ 0.75 = 92

Therefore, 69 is 75% of 92.

4 Let x be the unknown number. Then we have the equation:

0.15x = 9

Solving for x, we divide both sides by 0.15:

x = 9 ÷ 0.15 = 60

Therefore, 15% of 60 is 9.

5. Let x be the unknown number. Then we have the equation:

0.12x = 60

Solving for x, we divide both sides by 0.12:

x = 60 ÷ 0.12 = 500

Therefore, 12% of 500 is 60.

(3)

1 Let x be the percent, then we can set up the equation:

x/100 * 200 = 50

Solving for x, we get:

x = 25

Therefore, 50 is 25% of 200.

2 Let x be the percent, then we can set up the equation:

x/100 * 50 = 40

Solving for x, we get:

x = 80

Therefore, 40 is 80% of 50.

3 Let x be the percent, then we can set up the equation:

x/100 * 10 = 6

Solving for x, we get:

x = 60

Therefore, 6 is 60% of 10.

4. 200 is 100% of itself, so the percent is 100.

5. Let x be the percent, then we can set up the equation:

x/100 * 800 = 200

Solving for x, we get:

x = 25

Therefore, 200 is 25% of 800.

It is given that the line segment AB is dilated to give another line segment A'B'.

Since it is a dilation, the length of the image will be a multiple of the length of the preimage.

To find the scale factor, divide the length of the image by the length of the preimage.

Recall that the length of a line segment with endpoints (a,b) and (c,d) is given as:

To find the length AB of the preimage, substitute the coordinates (a,b)=(9,4) and (c,d)=5,-4) into the formula:

To find the length A'B' of the image, substitute the coordinates (a,b)=(6,3) and (c,d)=(3,-3) into the formula:

Divide the length of the image by the length of the preimage to calculate the scale factor:

Hence, the scale factor is 3/4.

The answer is 3/4.

Answer:

im pretty sure it's 8 I'll make sure to do the math right again but I'm pretty sure it's 8

plot the points on 5 , 4 , 3, and 2

The expected number of pizzas to be stuffed crust is given as follows:

500.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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Answer:

\(B = \fra{3V}{h}\)

Step-by-step explanation:

Given

\(V = \frac{Bh}{3}\)

Required

Make B the subject

\(V = \frac{Bh}{3}\)

Multiply both sides by 3

\(3 * V = \frac{Bh}{3}*3\)

\(3V = Bh\)

Divide both sides by h

\(\fra{3V}{h} = \frac{Bh}{h}\)

\(\fra{3V}{h} = B\)

\(B = \fra{3V}{h}\)