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44. Show that the quadrilateral with vertices A(0,0), B(a,0), C(a + b, c) and D(b, c) is a parallelogram.

Complete question :

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:

H, :μ< 26.9

Ha : μ> 26.9

a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?

b. What is the Type I error in this situation? What are the consequences of making this error?

c. What is the Type II error in this situation? What are the consequences of making this error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the null and alternative hypothesis :

H0 :μ< 26.9

Ha : μ> 26.9

Assume the Null hypothesis is rejected ;

We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).

B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.

C.) Type 2 error is committed when we fail to reject a false null hypothesis. In this scenario, we fail to conclude that the average consumption of beer and cider is more than 26.9 gallons per person.

Answer:

B, E, D

Step-by-step explanation:

You just look for the ones that have the same factors as 5:2

Answer:

A

C

D

Step-by-step explanation:

if I'm not wrong, I'm sure is that

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

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

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

\(\fbox{1915}\)

Step-by-step explanation:

Hello, ig you've to divide the number 9575 by 5,

divide first digit (of 9575) 9 by 5,

5×1= 5, hence 9-5 = 4 will be reminder,

The remaining number is 4575,

since 4 is not divisible by 5 we will try dividing first two digits (of 4575) that's 45,

now 5×9 = 45 & it's completely divisible.

remaining number 75, follow the same pattern, 7 is divisible by 5,

5×1 = 5, 7-5 =2

now remaining number is 25 & we know that 5×5 = 25

Hence the Quotient is 1915

Incorrect answer - 1315

Corrected answer - 1915

\( \small \sf Thanks \: for \: joining \: brainly \: community!\)

Using it's concept, the probability that you flip heads and roll a number greater than 5 is: \(\frac{1}{12}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Hence the probability of both events is:

\(p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}\).

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The value of the function f(x) = 8x - 3 at x = 5 will be 37. Then the correct option is C.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = 8x - 3

The value of the function at x = 5 will be given as,

f(5) = 8(5) - 3

f(5) = 40 - 3

f(5) = 37

The worth of the capability f(x) = 8x - 3 at x = 5 will be 37. Then, at that point, the right choice is C.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Answer:

102.95

Step-by-step explanation:

Answer:

The value of x=12

Step-by-step explanation:

because the whole thing is 90 and the other angles are equal to 78 if you add them together. So you would subtract 90-78 which equals 12.

Answer:

The answer is C: Rectangular Prism

Step-by-step explanation:

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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The probability that Chris throws away the first chocolate but gets to eat the second one is 8/39.

To determine the probability that Chris throws away the first chocolate but gets to eat the second one, we need to calculate the probabilities of two events: the probability of Chris throwing away the first chocolate and the probability of Chris getting a caramel-filled chocolate on the second attempt.

Let's start with the first event: the probability that Chris throws away the first chocolate. Since Chris only likes the kind filled with caramel, there are 9 caramels out of a total of 9 + 6 + 8 + 4 = 27 chocolates in the box. Therefore, the probability of Chris throwing away the first chocolate is 1 - (9/27) = 18/27 = 2/3.

Now, for the second event: the probability of Chris getting a caramel-filled chocolate on the second attempt. After throwing away the first chocolate, there are now 8 caramels remaining in the box, out of a total of 26 chocolates. Thus, the probability of Chris getting a caramel-filled chocolate on the second attempt is 8/26 = 4/13.

To find the probability of both events occurring, we multiply the probabilities together: (2/3) * (4/13) = 8/39.

The probability that Chris throws away the first chocolate but gets to eat the second one is 8/39.

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Answer:

29/30

Step-by-step explanation:

first, we must make sure they have the same denominator!

2/3 x 10/10 = 20/30

3/10 x 3/3  = 9/30

20/30 + 9/30 = 29/30

The total surface area of the clubhouse including the floor is approximately 95.98 square feet.

We have,

The surface area of a square pyramid can be found by adding the area of the base to the sum of the areas of the four triangular faces.

Since the base is a square, its area is 6^2 = 36 square feet.

Each triangular face is an equilateral triangle with a side length of 6 feet, so its area can be found using the formula.

A = (√(3)/4) x s²,

where s is the length of a side.

The area of each triangular face.

A = (√(3)/4) x 6² = 9 √(3) square feet.

The total surface area is then:

A = 4 x 9 √(3) + 36

A = 36 √(3) + 36  ≈ 95.98 square feet

(rounded to the nearest hundredth)

Therefore,

The total surface area of the clubhouse including the floor is approximately 95.98 square feet.

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Answer:

a. 35

Step-by-step explanation:

x - 18 = 17

x = 35

Answer:

A.Federal insurance Contributions Act

Step-by-step explanation:

Please mark me as brainleist

Answer:

25g/4 - 2/3

Is what I got

Given data:

The given expression is 2(x/8+3)=7+1/4x.

The given expression can be written as,

2(x/8)+2(3)=7+1/4x

x/4+6=7+1/4x

x/4-1/4x=7-6

x/4-1/4x=1

x^(2)-1=4x

x^(2)-4x-1=0

Thus, the final expression is x^(2)-4x-1=0 after applying distributve property on left side.

Answer:

There were 186 math textbooks sold and 62 physics textbooks sold.

Given:

- 248 books sold in total

- math textbooks and physics textbooks sold

- math is three times physics

Step-by-step explanation:

[] First, we can set up mathematical equations for this scenario;

       - Let m be math textbooks and p be physics textbooks

m = 3p

248 = p + (3p)

248 = 4p

62 = p

[] Now we can solve for the amount of each books sold;

p = 62 books

3 * p = m

3 * 62 = m

m = 186

[] Lastly, we can check to make sure this will work;

186 + 62 = 248 ✓

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

The Answer to this is 78

Step-by-step explanation:

BIDMAS

B- Brackets (parenthesis)

I- Indices (Squared)

D- Division

M- Multiplication

A- Addition

S- Subtraction

Answer:

Step-by-step explanation:

Let the length of first piece be L .

Length of second piece = 56 - L

radius of circle made from first piece

R = L / 2π

Area of circle = π R²

= L² / 4π

side of square made fro second piece

= (56 - L) / 4

area of square = ( 56-L)² / 16

Total area

A = L² / 4π + ( 56-L)² / 16

For smallest possible combined area

dA / dL = 0

dA / dL = 2L /  4π - 2( 56-L)/16 =0

2L /  4π = 2( 56-L)/16

.159 L = 7 - .125 L

.284 L = 7

L = 24.65 inch

other part = 56 - 24.65

= 31.35 inch .

Answer:

20 mins

Step-by-step explanation:

Answer:

18 minutes

Step-by-step explanation:

At the end of the 18th minutes, machine A would have completed 2 flagpoles and machine B will have completed 3 flagpoles. They both start producing another flagpole in the 19th minute

Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

1o

2true I helped it help