Examine the diagram and information to answer the question. Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4). How many units is the perimeter of rectangle EFGH?

Answer:

56 kilograms is equal to approximately 123.456 pounds.

Answer: D

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

quarter is 1/4 of a thing

so $440 ÷ 4 = 110

hence we can conclude that if you get $440 in quarters you will get $110 each time

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Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

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3. Adjacent complementary angles: ∠LJM and ∠NJM

4. Adjacent supplementary angles: ∠KJL and ∠NJL are

5. ∠EGF and ∠NJP

6. ∠FGH and ∠LJM

7. m∠2 = 67°

8. m∠4 = 44°

Adjacent complementary angles are angles that share the same side and a common vertex, and have a sum of 90 degrees, while non-adjacent complementary angles are angles that have a sum of 90 degrees but do not share the same vertex and a common side.

Adjacent supplementary angles are angles that share the same side and a common vertex, and have a sum of 1800 degrees, while non-adjacent supplementary angles are angles that have a sum of 180 degrees but do not share the same vertex and a common side.

3. 56° + 34° = 90°

Therefore, ∠LJM and ∠NJM are adjacent complementary angles.

4. m∠KJL + m∠NJL = 180°

Therefore, ∠KJL and ∠NJL are adjacent supplementary angles.

5. 41° + 49° = 90°

Therefore, ∠EGF and ∠NJP are non-adjacent complementary angles.

6. 124° + 56° = 180°

Therefore, ∠FGH and ∠LJM are non-adjacent supplementary angles.

7. m∠2 = 90 - 23 = 67°

8. m∠4 = 90 - 46 = 44°

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The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

To convert the polar form of n = (2.80∠–29.9°) to rectangular form, we can use the following equations:

a = r*cos(θ)
b = r*sin(θ)

where r is the magnitude of the complex number and θ is its angle in polar form.

Using the given values, we have:

r = 2.80
θ = –29.9°

Converting θ to radians:

θ = –29.9° * π/180 = –0.522 radians

Substituting the values in the equations, we get:

a = 2.80*cos(–0.522) = 2.45
b = 2.80*sin(–0.522) = –1.38

Therefore, the rectangular form of n = (2.80∠–29.9°) is:

n = 2.45 – 1.38j

So,  The rectangular form of n = (2.80∠–29.9°) is n = 2.45 – 1.38j.

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The relative frequency of getting a 5 on the next roll is c.) 8 over 25

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

Number of times = 25 times

Occurrence of five = 8 times

The above parameters mean that

Relative frequency = Occurrence of five/Number of times the dice is rolled

Using the above as a guide, we have the following:

So, we have the following representation

Relative frequency = 8/25

Hence, the relative frequency is 8/25

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The correct answer is d. Bell-shaped curve. The normal curve is often referred to as a bell-shaped curve due to its characteristic shape resembling a bell.

It is a continuous probability distribution that is symmetric and unimodal. The curve is defined by the mean and standard deviation of a normal distribution. It is widely used in statistics and probability theory to model various phenomena in fields such as social sciences, natural sciences, and engineering.

The normal curve is called a bell-shaped curve because it has a characteristic shape resembling the outline of a bell. The curve is symmetric, meaning it is equally balanced on both sides of its center. The highest point of the curve is at the mean, and the curve tapers off symmetrically in both directions.

This shape is a result of the probability density function of the normal distribution, which assigns higher probabilities to values close to the mean and lower probabilities to values further away. The normal curve is widely used in statistical analysis and provides a useful approximation for many real-world phenomena.

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-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

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Answer:

cost for 21 months without considering cost of phone is  $2,611.56

Total cost inclusive of cost of phone = $2,686.56

Step-by-step explanation:

cost of 2000 monthly anytime minutes plan = $ 124.36

So , in 1 month cost for given plan = $ 124.36

we have to find cost for 21 month

In 21 month, cost for given plan = 21 * cost of 1 month plan

In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56

cost for 21 months is  $2,611.56.

Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.

In case cost of phone is included then

Total cost inclusive of cost of phone =  $2,611.56 + $75 = $2,686.56

Answer:

a. ben eats 27 apples

b. ben has 18 apples left

Answer:

Step-by-step explanation:

5. x/7 = 9/x

x^2 = 63

x= 3\(\sqrt{7}\)

6. x/84 = 16/x

x^2 = 1344

x=8\(\sqrt{21}\)

7. x/12 = 12/16

16x=144

x=9

8. x/48 = 48/64

64x=2304

x=36

The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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Answer:

Step-by-step explanation:

we can use multiplication of 10 with 5and 2 we know that 2x5=10

To calculate the probabilities in this scenario, we use the concept of conditional probability.

Part A:  The total number of possible outcomes is the total number of drinks (5 colas + 7 root beers + 4 ginger ales). Therefore, the probability is (5/16) * (4/15) * (5/14).

Part B:  The number of favorable outcomes is the number of root beers (7), and the total number of possible outcomes is the reduced sample space (5 + 7 + 4). Therefore, the probability is 7/16.

Hence, the probability that the first person grabs a cola, the second person grabs a ginger ale, and the third person grabs a cola is (5/16) * (4/15) * (5/14), and the probability that the third person grabs a root beer given that the first two people grabbed colas is 7/16.

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Answer:

14. (8,9,10)

15.no(A)

this is the answer

The forecast for the number of accidents that will occur in the month of May is 110.

To find the trend equation for forecasting using the least-squares regression method, we need to perform a linear regression analysis on the given data.

Let's assign the variable x to represent the month number (1 for Jan, 2 for Feb, etc.) and y to represent the number of accidents.

Using the given data:

x: 1, 2, 3, 4

y: 30, 40, 60, 95

Step 1: Calculate the means of x (bar) and y (bar):

x(bar) = (1 + 2 + 3 + 4) / 4 = 2.5

y(bar) = (30 + 40 + 60 + 95) / 4 = 56.25

Step 2: Calculate the deviations from the means (dx and dy):

dx = x - x(bar)

= 1 - 2.5, 2 - 2.5, 3 - 2.5, 4 - 2.5

  = -1.5, -0.5, 0.5, 1.5

dy = y - ȳ = 30 - 56.25, 40 - 56.25, 60 - 56.25, 95 - 56.25

  = -26.25, -16.25, 3.75, 38.75

Step 3: Calculate the product of the deviations (dxdy):

dxdy = dx * dy

     = (-1.5) * (-26.25), (-0.5) * (-16.25), 0.5 * 3.75, 1.5 * 38.75

     = 39.375, 8.125, 1.875, 58.125

Step 4: Calculate the squared deviations (dx² and dy²):

dx² = dx * dx

    = (-1.5) * (-1.5), (-0.5) * (-0.5), 0.5 * 0.5, 1.5 * 1.5

    = 2.25, 0.25, 0.25, 2.25

dy² = dy * dy

    = (-26.25) * (-26.25), (-16.25) * (-16.25), 3.75 * 3.75, 38.75 * 38.75

    = 689.0625, 264.0625, 14.0625, 1503.125

Step 5: Calculate the sum of the squared deviations (Σdx² and Σdy²):

Σdx² = 2.25 + 0.25 + 0.25 + 2.25 = 5

Σdy² = 689.0625 + 264.0625 + 14.0625 + 1503.125 = 2470.3125

Step 6: Calculate the sum of the product of the deviations (Σdxdy):

Σdxdy = 39.375 + 8.125 + 1.875 + 58.125 = 107.5

Step 7: Calculate the slope (b):

b = Σdxdy / Σdx² = 107.5 / 5 = 21.5

Step 8: Calculate the y-intercept (a):

a = y(bar) - b * x(bar)

= 56.25 - 21.5 * 2.5

= 56.25 - 53.75

= 2.50

Therefore, the trend equation for forecasting is:

y = 2.50 + 21.50x

To find the forecast for the number of accidents in May (x = 5), substitute x = 5 into the equation:

y = 2.50 + 21.50 * 5

= 2.50 + 107.50

= 110

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For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.

There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices

Monthly rental = $ 121.00

Monthly insurance= $56.00

So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177

The sell rate of pizza = $12.02/slice.

We have to determine the number of slices restaurant sell in a month to break even.

Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00

Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)

= 35.4

= 35 (rounded to whole number)

Hence, 35 slices must be sold for break even.

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In response to the given query, we can state that Therefore, for the initial equation payment, the principle received was $224.93, the interest was $18.67, and the new principal was $2,575.07.

A mathematical equation is a process that links two statements and indicates equivalence with the equals sign (=). In mathematics, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two lines that are written on opposite sides of a letter. In many cases, the logo and the particular program are identical. as in 2x – 4 = 2, for instance.

P = (r * A) / (1 - (1 + r)^(-n))

A = $2,800.00

r = 8% / 12 = 0.00666666667

n = 12

These numbers allow us to determine the weekly payment:

P = (0.00666666667 * $2,800.00) / (1 - (1 + 0.00666666667)^(-12)) = $243.60

the amount due each month is $243.60.

Utilizing the following method, we can determine the first payment's breakdown:

Interest is calculated as follows: New Principal is equal to Current Principal minus Monthly Payment - Interest Interest = Current Principal * Monthly Interest Rate

As for the initial payment:

Monthly Interest Rate = 8% / 12 = 0.00666666667 Current Principal: $2,800.00

Interest equals $2,800.00 times 0.00666666667, or $18.67.

Payment to Principal: $243.60 less $18.67 equals $224.93.

$2,800.00 - $224.93 = $2,575.07 is the new principal.

Therefore, for the initial payment, the principle received was $224.93, the interest was $18.67, and the new principal was $2,575.07.

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The expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

The expression is given as:

5% of 60

Express as fraction and decimal

5% of 60 = 5/100 * 60

5% of 60 = 0.05 * 60

This gives

5% of 60 = 1/20 * 60

Hence, the expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

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To solve this problem, you will first use the Angle Sum Property to determine the value of x after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as x in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is x and can therefore be placed in an equation:

\(65+42+x=180\)

Combine the like terms by combining the constants on the left side of the equation using addition:

\(65+42+x=180\)

\(107+x=180\)

After combining like terms, subtract 107 from both sides of the equation:

\(107 - 107 +x = 180-107\)

\(\boxed{x=73}\)

The final answer is x = 73 degrees.

The length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L be the length and W be the width of the rectangle.

From the question:

L = 420 + W (based on the data given in the question)

LW  = 13

(420 + W)W = 13

W² + 420W - 13 = 0

After solving the above quadratic equation:

W = 0.031, W = -420.03 (width cannot be negative)

W = 0.031 yards (which is not practical but from a mathematical point of view it can be considered)

L = 420 + 0.031 = 420.031 yards

Thus, the length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.

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The two numbers which the missing side is in between include the following: A. 10 and 11.

In order to determine the length of the hypotenuse, we would have to apply Pythagorean's theorem.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation (formula):

x² + y² = d²

Where:

x, y, and d represents the length of sides or side lengths of any right-angled triangle.

By substituting the side lengths of this rectangular figure, we have the following:

d² = x² + y²

d² = 3² + 10²

d² = 9 + 100

d² = 109

d = √109

d = 10.44 units.

Therefore, d is between 10 and 11.

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The statement, "alternative hypothesis is the hypo-thesis that an "analyst" is trying to prove" is True, because it is the hypothesis that an analyst is trying to prove through their research.

The "Alternative-hypothesis" is defined as the hypothesis which an analyst is trying to prove or support through their research or analysis.

It is the opposite of the "null-hypothesis", and it suggests the presence of a relationship or effect between variables being studied.

In statistical hypothesis testing, the analyst generally formulates both a "null-hypothesis" and an "alternative-hypothesis", and collects data to determine which hypothesis is supported by the evidence.

Therefore, the statement is True.

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The given question is incomplete, the complete question is

The alternative hypothesis is the hypothesis that an analyst is trying to prove. True or False

Answer:

width=11cm

length = 16cm

Step-by-step explanation:

let the width of rectangle be x.

then length is x+5

perimeter=54

2(x+x+5)=54

2x+5=27

2x=22

x=11

width=11cm

length= x+5 = 16cm

Answer:

width = 11

length = 16

Step-by-step explanation:

Perimeter of a rectangle = 2 (Length + Width)

Length = 5 + width

2 (5 + width + width) = 54

5 + width + width = 27

width + width = 22

width = 11

length = 16

Hope this helps :)

Have a nice day

Answer:

B.The car had been driven 65,000 miles when Franklin purchased it.