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stellarik [79]
3 years ago
7

What is -1/2 + p = 5/8 simplified.

Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Add 1/2 to both sides:

-\dfrac{1}{2}+p+\dfrac{1}{2} = \dfrac{5}{8}+\dfrac{1}{2} \iff p = \dfrac{5}{8}+\dfrac{1}{2} = \dfrac{5}{8}+\dfrac{4}{8} = \dfrac{9}{8}

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The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

P(A \cap B \cap C) = P(A)P(B)P(C)

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that P(A) = 0.235, P(B) = 0.258, P(C) = 0.26

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158

0.0158 = 1.58% probability that all of them are under 18.

8 0
2 years ago
Solving equations and Inequalities 1 ) -10p=2(p-12)
MArishka [77]
The answer is 2 = p
Explanation: Here the goal is to get the variable "p" by itself, so first your have to distribute 2 to (p-12) which gives you -10p = 2p-24. Then you add 10p on both sides so that the variable is on one side. Then you add 24 to both sides. After that you divide 12 from both sides, giving you 2 = P

-10P = 2(p-12)
-10p = 2p-24
+10p +10p
0 = 12p-24
+24 +24
24 = 12p
24÷12 = 12p÷12
2 = p
5 0
3 years ago
A member of the sales team earns 30% commission on any sales. A salesperson sold $450 worth of merchandise.
Bingel [31]

Answer:

The answer to this is B, $135.

Step-by-step explanation:

I took the test.

4 0
2 years ago
Find the sum of the geometric sequence. 1, 1/4, 1/16, 1/64, 1/256
e-lub [12.9K]
Multiply the denominator by 4
6 0
3 years ago
At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides
Reika [66]

Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

Step-by-step explanation:

a)

The probability the visitor selects an authentic painting is  

10/12 = 0.8333

b)

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

0.8333*0.9 = 0.75

c)

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

9/11= 0.8181

If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

10/11= 0.9090

8 0
3 years ago
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