MATHEMATICS COLLEGE

Triple the difference of 8 from 10, then multiply by 5.

Answers

Answer 1
Answer:

Answer:

30

Step-by-step explanation:
Answer 2
Answer: The answer is 30. This is because the difference of 8 from 10 is 2. That difference must be tripled to get 6. Finally the 6 must be multiplied by 5 to get 30.

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A painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%. By what percent is the new frame bigger than the original frame if the width of the frame remains the same?

Answers

Answer:

8.3%

Step-by-step explanation:

A bag contains some number of marbles. It is known that 20 of them are red. When 15 marbles are drawn, without replacement, we get 6 red. Assuming E(X)=6 red, what is the total number of marbles in the bag?

Answers

Answer:

The total number of marbles in the bag is 50.

Step-by-step explanation:

Here, we have n trials, without replacement. So the hypergeometric distribution is used.

The mean of the hypergeometric distribution is:

E(X) = (n*k)/(N)

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.

15 marbles are drawn:

This means that n = 15

A bag contains some number of marbles. It is known that 20 of them are red.

This means that k = 20, since a success is drawing a red marble.

Assuming E(X)=6 red, what is the total number of marbles in the bag?

We have to find N when E(X) = 6

So

E(X) = (n*k)/(N)

6 = (15*20)/(N)

6N = 300

N = (300)/(6)

N = 50

The total number of marbles in the bag is 50.

Find the coordinates of the point 3/10 of the way from A to B.

Answers

Final answer:

To find a point that is 3/10 of the way from point A to B, we scale the vector from A to B by 0.3. To find the x and y coordinates of this point, we use the formula X = x1 + 0.3 * (x2 - x1) and Y = y1 + 0.3 * (y2 - y1) respectively.

Explanation:

The question asks us to find the coordinates of a point that is 3/10 (or 30%) of the way from point A to B. This involves using the idea of vector addition and scalar multiplication in mathematics.

Let's represent the journey from point A to B as the vector AB. You can consider vector AB to be generated by some coordinates (x1, y1) at point A and some (x2, y2) at point B. If we are trying to locate a point that is 3/10 along the way from A to B, it is like scaling the vector AB by 0.3 (3/10).

To find the x and y coordinates of that point, we would calculate it as follows:

  • X-coordinate = x1 + 0.3 * (x2 - x1)
  • Y-coordinate = y1 + 0.3 * (y2 - y1)

As a result, by substituting the coordinates of point A and B into these equations, we can find the coordinates of the point that is 3/10 of the way from point A to B.

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Final answer:

To find the coordinates of a point 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The coordinates of A are (11,7) and the coordinates of B are (-3,-6). Using the midpoint formula, we can calculate the coordinates of the desired point are (6.8, 3.1).

Explanation:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the concept of midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the coordinates of A are (11,7) and the coordinates of B are (-3,-6). So, we can find the coordinates of the point 3/10 of the way from A to B by taking 3/10 of the difference between the x-coordinates and adding it to the x-coordinate of A, and taking 3/10 of the difference between the y-coordinates and adding it to the y-coordinate of A. Let's calculate it step by step:

x-coordinate: (3/10)(-3 - 11) + 11 = (3/10)(-14) + 11 = -4.2 + 11 = 6.8

y-coordinate: (3/10)(-6 - 7) + 7 = (3/10)(-13) + 7 = -3.9 + 7 = 3.1

So, the coordinates of the point that is 3/10 of the way from A to B are (6.8, 3.1).

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2+2=? please please answer i need asap

Answers

Answer:

The answer is 4 because 2+2=4

Step-by-step explanation:

2+2=4

there are 8 tennis balls in a bag.five of the balls are yellow and the other 3 are green, what's the probability of pulling out a green ball without looking? write your answer as a decimal

Answers

The probability of pulling out a green ball without looking is 3/8 or 0.375 as a decimal of the given problem there are 8 tennis balls in a bag.five of the balls are yellow and the other 3 are green

To find the probability of pulling out a green ball without looking, we need to determine the ratio of green balls to the total number of balls in the bag.

Given that there are 8 tennis balls in total, with 3 of them being green, the probability can be calculated as:

Probability = Number of green balls / Total number of balls

Probability = 3 green balls / 8 total balls

Simplifying this fraction, we have:

Probability = 3/8

Therefore, the probability of pulling out a green ball without looking is 3/8 or 0.375 as a decimal.

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I think
3/8 = 0.375
3 divide by 8 = 0.375

This year, a small business had a total revenue of $81,900 . If this is 26% more than their total revenue the previous year, what was their total revenue the previous year?

Answers

Answer:

total revenue was $65,000

Step-by-step explanation:

A small business had a total revenue this year = $81,900

This is 26% more than their total revenue the previous year.

Let the revenue of previous year be 'r'.

r + ( 26% of r ) = $81,900

r + ( 0.26r ) = 81,900

1.26r = 81,900

r = (81,900)/(1.26)

r = 65,000

Their total revenue was $65,000 the previous year.
$65000 was the total revenue for the previous year.
65000 x .26 = 16900
65000 + 16900 = 81,900
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