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vampirchik [111]
3 years ago
15

What is the mid point of (-3,4) and (5,-2)

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0
To find the midpoint of two points, we use the midpoint formula where M = (x1+x2/2, y1+y2/2).

If we plug in the respective values into this formula, we get:

(-3+5/2, 4+-2/2)

When we simplify the addition and subtraction in the numerators, we get:

(2/2, 2/2)

After dividing each respective part of the ordered pair, we get:

(1, 1)

Therefore, the midpoint is (1, 1).

Hope this helps!
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$0.15, $0.30, $0.50, $0.75, $0.89<br> I need to know the percent of change for these numbers
Naddik [55]

Answer:

15% 30% 50% 75% 89%

Step-by-step explanation:

u change 0.15 to a function 15/100 then the one hungred below is persent

5 0
2 years ago
Given a standard deck of 52 cards, 3 cards are dealt without replacement. Using this situation, answer the questions below.&lt;b
kherson [118]
Given that <span>3 cards are dealt without replacement in a </span><span>standard deck of 52 cards.

Part A:

There are 4 queens in a standard deck of 52 card, thus the probability that the first card is a queen is given by 4 / 52 = 1 / 13.

Since, the first card is not replaced, thus there are 3 queens remaining and 51 ards remaining in total, thus the probability that the second card is a queen is given</span> by 3 / 51 = 1 / 17

Similarly the probability that the third card is a queen is given by 2 / 50 = 1 / 25.

Therefore, the probability that <span>all three cards are queens is given by

\frac{1}{13} \times \frac{1}{17} \times \frac{1}{25} = \frac{1}{5525}



Part B:

Yes the probability of drawing a queen of heart is independent of the probability of drawing a queen of diamonds because they are separate cards and drawing one of the cards does not in any way affect the chance of drawing the other card.



Part C:

Given that the first card is a queen, then there are 3 queens remaining out of 51 cards remaining, thus the number of cards that are not queen is 51 - 3 = 48 cards.

Therefore, </span>if the first card is a queen, the probability that the second card will not be a queen is given by 48 / 51 = 16 / 17



Part D:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining.

Therefore, </span>if two of the three cards are queens ,<span>the probability that you will be dealt three queens</span> is given by 2 / 50 = 1 / 25 = 0.04



Part E:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining, thus the number of cards that are not queen is 50 - 2 = 48 cards.

Therefore, </span>if two of the three cards are queens ,the probability that the other card is not a queen is given by 48 / 50 = 24 / 25 = 0.96
8 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a ra
pychu [463]
Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of 
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions

Answer:
The smaller gear makes 1.75 rotations

7 0
3 years ago
What is the measure of Angle R?
Ostrovityanka [42]

Answer:

60°.

Step-by-step explanation:

6 0
2 years ago
A rectangle has a perimeter of 196 meters and a length of 50 meters.What is the width of the rectangle? Explain.
matrenka [14]
Answer: 48 meters

we already know that one side is 50 m, so since it's a
rectangle you can multiply 50 by 2 which gives you 100. Know you have two sides left (which would be the same number) . You can do it easy and subtract 196 and 100 which gives you 96. Then, divide 96 by 2 and you get 48.

---- check: do 48(2)+50(2) it will give you 196


HOPE THIS HELPED

3 0
3 years ago
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