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mario62 [17]
3 years ago
5

Find the midpoint.........

Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

(14,2)

Step-by-step explanation:

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Simplify this expression.
nexus9112 [7]

Answer:

C

Step-by-step explanation:

If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:

6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36

4 0
3 years ago
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Is a triangle with the side lengths 15, 36, and 39 a right triangle?
Alex73 [517]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is 1/2. He flips the coi
Phoenix [80]

Answer:

Step-by-step explanation:

Given that a friend flips a coin 10 times and observes head 7 times.  So he concludes Probability of head =0.1

This is wrong because

i) Just making 10 trials and coming to conclusion is wrong.  Trials should be large to get accurate estimate

ii) The way he threw the coin may be biased so differrent persons should flip and get results for larger trials

iii) External influences such as air, any other disturbance is not considered here.

To avoid all these sampling fluctuations number of trials should be increased with different situations and times.

6 0
3 years ago
What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen
Mamont248 [21]

Answer:

1 / 663

Step-by-step explanation:

First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.

There are 4 5's  (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.

The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =

1 / 663. Hope this helps!

6 0
3 years ago
What is the solution to <br> −4x+5y=−12<br> x−6y=22
lara31 [8.8K]

Answer:

The solution to the system is S= (-2, -4).

Step-by-step explanation:

Given the system

−4x+5y=−12

x−6y=22

The first step is to solve x from the first equation for example, and substitute the expression in the second equation.

1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y

2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22

⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.

Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.

-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20

⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.

Summarizing, the solution to this system is S = (-2, -4).

7 0
3 years ago
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