GH has a midpoint at M(3, 6). Point G is at (2, 6). Find the coordinates of point H.
Write the coordinates as decimals or integers.

Most of the data in each plot are greater than 48.

1. Boy's Heights.

Using the information you can create a frequency table:

Height    Frequency

40                   0

41                     1

44                    3

46                    3

48                    2

50                    3

52                    4

54                    4

56                    0

58                    0

60                    0

                  ======

                     20 boys

2. Girl's Heights.

Similarly, create your frequency table:

Height        Frequency

40                      0

41                       0

42                      0

44                      2

46                      3

48                       1

50                      3

52                       4

54                       3

56                       4

58                       0

60                       0

                     ======

                       20 girls

Most of the data in each plot are greater than 48.

Count the dots or add the frequencies from the tables.

For boys, the frequency of points greater than 48 is: 3 + 4 + 4 = 11 which is more than half (there are 20 dots).

For girls, the frequency of points greater than 48 is: 3 + 4 + 3 + 4 = 14, which is also more than half.

Hence, it is correct that most of the data in each plot are greater than 48.

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Answer:

4th quadrant is the red point..

Answer:

I agree with Derek and disagree with  What if you want to do it the long way and use the distributive property and distribute the 2 first? You would do: 8 / (4+4) = 1.

Or does the distributive property suddenly no longer apply?

That's what I would say proves that 1 is correct.

I trust Morgan because she's had a math class this decade.

Wikipedia says you hate America if you get 16.

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO SANP (ADAMBELAL839)

Answer:

0.56

Step-by-step explanation:

5.6 ÷ 10

When dividing by ten, move the decimal point one position to the right:

0.56

That is your answer because you were Dividing by Ten and so the worth of that number is lowered by ten or one decimal position.

Hope this helps!

Have a nice day!

If you find my answer helpful

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Answer:

p - 0.25p

1.25p

Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

0 = 8

5 = 23

14 = 50

Step-by-step explanation:

f(n)= 8+ 3n

when n=0

f(0)= 8+ 3(0)

f(0)= 8+0

f(0)= 8

when n=5

f(5)= 8+ 3(5)

f(5)= 8+ 15

f(5)= 23

f(n)= 50

f(n)= (50- 8)÷ 3

f(n)= 42÷3

f(n)=14

so n=14

Answer:

brand a is $0.04 Brand b is $0.03

Step-by-step explanation:

cost of the box /number of spoons = unit price

Answer:

Brand A=$0.04 Brand B=$0.03 per spoon

Step-by-step explanation:

Brand A: 1.54/36 =0.04 Divide the price by the number of spoons to get the price per spoon, or unit price

Brand B: 1.66/48 =0.03 Do the same thing for Brand B.

The expected value of winning a dollar when the coin comes down heads is:

Earnings from heads = 1 * 0.5 = 0.5

The expected value of losing fifty cents when the coin comes down tails is:

Earnings from tails = -0.5 * 0.5 = -0.25

The expected value of earnings for one toss is:

Earnings per toss = Earnings from heads + Earnings from tails = 0.5 - 0.25 = 0.25

Therefore, the expected earnings for 20 tosses is:

Expected earnings for 20 tosses = 20 * Earnings per toss = 20 * 0.25 = 5

So, you would expect to earn $5 after 20 tosses.

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Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

It is a special type of frequency table that shows relationships between two categories.

here, we have,

From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,

Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.

Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.

Option D is also incorrect because we do not know the number of students.

Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

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The average rate of change of the function f(x) = 6x^6 on the interval [-3, 5] is given by:

(avg. rate of change) = [f(5) - f(-3)] / [5 - (-3)]

First, let's calculate the values of f(5) and f(-3):

f(5) = 6(5)^6 = 6(15,625) = 93,750

f(-3) = 6(-3)^6 = 6(729) = 4,374

Substituting these values into the formula, we get:

(avg. rate of change) = (93,750 - 4,374) / (5 - (-3))

(avg. rate of change) = 89,376 / 8

Therefore, the average rate of change of f(x) on the interval [-3, 5] is:

(avg. rate of change) = 11,172

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Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

Answer:

\(1) \frac{1}{13} \\ 2) \frac{12}{13} \)

Step-by-step explanation:

according to the question

according to the question

Answer:

no of 7=4

total no of card =52

total not no.7=52-4=48

Step-by-step explanation:

probability of getting 7=4/52=1/13

probability of not getting 7=48/52=12/13

The surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base. Let's start by finding the area of the square base. So, the surface area of the square pyramid is 384 square inches.

To find the surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, the base of the pyramid has a side length of 12 in, so its area is:

A = 12^2

A = 144 sq in

Now let's find the area of each triangular face. The formula for the area of a triangle is A = 1/2bh, where b is the base length and h is the height. Each triangular face has a base length of 12 in and a height of 10 in, so its area is:

A = 1/2(12)(10)

A = 60 sq in

Since there are four triangular faces, the total area of the triangular faces is:

4 × 60 = 240 sq in

Finally, we can add the area of the base and the area of the triangular faces to get the total surface area of the pyramid:

144 + 240 = 384 sq in

1. Identify the given measurements:

 Base length (b) = 12 in

 Triangular face base length (tf_b) = 12 in

 Triangular face height (tf_h) = 10 in

2. Calculate the surface area of the square base:

 Base area (A_base) = b^2 = (12 in)^2 = 144 sq in

3. Calculate the area of one triangular face:

 Triangular face area (A_tf) = 0.5 * tf_b * tf_h = 0.5 * (12 in) * (10 in) = 60 sq in

4. Since there are four triangular faces, find the total area of all triangular faces:

 Total triangular face area (A_tfs) = 4 * A_tf = 4 * (60 sq in) = 240 sq in

5. Finally, add the base area and the total triangular face area to find the surface area of the pyramid:

 Surface area (SA) = A_base + A_tfs = (144 sq in) + (240 sq in) = 384 sq in

So, the surface area of the square pyramid is 384 square inches.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

Easy. Alternate interior angle.

Step-by-step explanation:

Let's start by calculating the store's revenue at the current price of $50 per pair of swimming flippers:

Revenue = Price x Quantity Sold = $50 x 92 = $4,600 per day

Now, let's see how changes in the price affect the quantity sold. According to the problem, for each $3 increase in price, 3 fewer sales are made. This means that the demand function is:

Quantity Sold = 92 - 3/3 (Price - $50) = 92 - (Price - $50)

where Price is measured in dollars.

To calculate the store's profit, we need to subtract the cost of producing each pair of swimming flippers from the revenue:

Profit = (Price - Cost) x Quantity Sold

We don't have information about the cost of producing each pair of swimming flippers, so let's assume that it is a constant of $20 per pair. This means that the profit function is:

Profit = (Price - $20) x (92 - (Price - $50)) = (Price - $20) x (-Price + $142)

Expanding the brackets and simplifying, we get:

Profit = -$Price^2 + $122Price - $2840

To find the price that maximizes profit, we need to take the derivative of the profit function with respect to price, and set it equal to zero:

dProfit/dPrice = -$2Price + $122 = 0

Solving for Price, we get:

Price = $61

So, the store should charge $61 per pair of swimming flippers to maximize profit. To verify that this is indeed the maximum, we can take the second derivative of the profit function with respect to price:

d^2Profit/dPrice^2 = -$2

Since this is negative, we know that the profit function is concave down, which means that the critical point we found is indeed a maximum.

The height of the tower is 969 feet.

Let CD be the tower and A be the point from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees.

In triangle AED

tan42° = ED/AE

tan42° = h₁/615

h₁ = tan42° × 615

= 553.74

Rounding to the nearest integer

h₁ = 554

In triangle AEC

tan34° = EC/AE

tan34° = h₂/615

h₂ = tan34° × 615

= 414.82

Rounding to the nearest integer

h₂ = 415

Height of tower = EC + ED

= h₁ + h₂

= 554 + 415

= 969

Therefore, the height of the tower is 969 feet.

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Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

34 < 72

Step-by-step explanation:

32 + 2 = 73 - 1

34 = 73 - 1

34 = 72

The correct answer is:

b. Reject the null hypothesis of no cointegration at the 5% level because -3.10 < -2.86

In the given scenario, the ADF test statistic (-3.10) is compared to the ADF 5% critical value (-2.86). If the test statistic is more negative (i.e., lower) than the critical value, it provides evidence to reject the null hypothesis of no cointegration.

Since -3.10 is smaller than -2.86, we can conclude that the estimated residuals from the regression exhibit cointegration at the 5% level. Thus, we reject the null hypothesis of no cointegration.

The other critical value (-3.398) mentioned (Engle-Granger) is not relevant for this decision as it pertains to a different test.

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Answer:

We suppose that a is the old price in cents

the total cost of 9.20 $ equals 920 cents

so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered

20 xa + 10 x (a + 2) = 920 (cents)

20 xa + 10 xa + 20 = 920

30 xa + 20 = 920

30 xa = 920 - 20

30 xa = 900

a = 900: 30

a = 30 (cents)

therefore the old price for 1 liter of petrol is 30 cents

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

follow me and answer my question for 50 points

Step-by-step explanation:

The formula for the probability of the union of two events A and B is P(A U B) = P(A) + P(B) - P(A ∩ B). Using this formula, we can rearrange the terms to get P(A U B) - P(A ∩ B) = P(A) + P(B) - 2P(A ∩ B).

Substituting the given probabilities, we get:

P(A U B) - P(A ∩ B) = 0.7 + 0.9 - 2P(A ∩ B)
P(A U B) - P(A ∩ B) = 1.6 - 2P(A ∩ B)

To maximize the value of P(A U B) - P(A ∩ B), we need to minimize the value of P(A ∩ B). The largest possible value of P(A ∩ B) is the minimum possible overlap between A and B. In other words, if A and B are completely independent, then P(A ∩ B) = P(A) x P(B) = 0.7 x 0.9 = 0.63.

Substituting this value, we get:

P(A U B) - P(A ∩ B) = 1.6 - 2(0.63)
P(A U B) - P(A ∩ B) = 0.34

Therefore, the largest possible value of P(A U B) - P(A ∩ B) is 0.34. The answer is (b) 0.34.

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Making the equations equal shows that both companies have the same cost for 6 mousepads.

Equations are mathematical statements claiming the equality of two or more mathematical expressions.

Equations are depicted by the equation symbol (=).  On the other hand, algebraic or mathematical expressions do not go with the equation symbol.

                      T-Shirts Shop   Mousepads Plus

Fixed charge         $12                   $6

Variable charge     $2                   $3

Let the number of mousepads = x

Let the total cost = y

T-Shirts Shop (Equation 1): y = 12 + 2x

Mousepads Plus (Equation 2): y = 6 + 3x

For the two companies' costs to be the same, both equations will be equal:

12 + 2x = 6 + 3x

2x - 3x = 6 - 12

-x = -6

x = 6

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It is a no solution equation