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Ilya [14]
3 years ago
7

What is the solution to this equation x/5= -20 A. x=4 B. x=100 C. x=-4 D. x=-100

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

D. X= -100

Step-by-step explanation:

5×x/5=5×(-20) (reduce and multiply)

X= -100

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Georgia ran a 5-kilometer race. How many meters did she run?
kumpel [21]

Answer:

Georgia ran 5000 meters

Step-by-step explanation:

1 kilometer = 1000 meter

4 0
3 years ago
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Which inequality is true use the number line to help​
Nata [24]

Answer:

-3 1/2 > -4.5

Step-by-step explanation:

1.5 > 2 1/2 False

1/2 > 0.5 False

-2.5 > -1.5 False

-3 1/2 > -4.5 True

1.5 > 2 1/2

1/2 = 0.5

2 + 0.5 = 2.5

1.5 is not > 2.5

1.5 < 2.5

1/2 > 0.5

1/2 = 0.5

0.5 is not > 0.5

0.5 = 0.5

-2.5 > -1.5

Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.

-2.5 is not > -1.5

-2.5 < -1.5

-3 1/2 > -4.5

1/2 = 0.5

3 + 0.5 = 3.5

-3.5 > -4.5

7 0
3 years ago
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If triangle RST = triangle NPQ, then RT is congruent to ?. . a.NP. b.NQ. c.PQ. d.QP
lapo4ka [179]
If the triangles are given to be congruent, the corresponding angles and corresponding sides should have the same measure and lengths. From the given, side RT is congruent to side NQ. Therefore, the answer to the question is letter B. NQ. 
6 0
3 years ago
The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out
Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a certain hockey team will win any given game is 0.3723

So p = 0.3723

12 games in November

So n = 12

What is the probability that the hockey team wins 6 games in November?

This is P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0
3 years ago
Find the value of x in the triangle shown below.
Alekssandra [29.7K]

Answer:

102 degrees.

Step-by-step explanation:

Because the 3.3's are congruent (the same), this triangle is isosceles.

A property of isosceles means that the two angles are congruent.

39+39= 78

This means that the last angle must be 180-78.

5 0
3 years ago
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