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Keith_Richards [23]
3 years ago
15

15% of 90 hours 15% of 90 hours

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0

Okay, to do this, we need to do the Cross-Product Method. On one side, it will be x/90, and the other side will be 15/100. So, after we multiply 90 by 15, and also multiply 100 by x, out new equation is going to be 100x = 1350. After dividing 1350 by 100, we get 13.5

Answer: 15% of 90 hours is 13.5 hours.

Blizzard [7]3 years ago
4 0

Answer:

15 percent of 90 hours = 13.5 hours

What is 15% of 90?

Y is 15% of 90

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 15% * 90

Converting percent to decimal:

p = 15%/100 = 0.15

Y = 0.15 * 90

Y = 13.5

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4-It has been a bad day for the market, with 70% of securities losing value. You are evaluating a portfolio of 20 securities and
riadik2000 [5.3K]

Answer:

b) 0.0007

c) 0.4163

d) 0.2375

Step-by-step explanation:

We are given the following:

We treat securities lose value as a success.

P(Security lose value) = 70% = 0.7

Then the securities lose value follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 20.

a) Assumptions

  • There are 20 independent trials.
  • Each trial have two possible outcome: security loose value or security does not lose value.
  • The probability for success of each trial is same, p = 0.7

b) P(all 20 securities lose value)

We have to evaluate:

P(x = 20)\\= \binom{20}{0}(0.7)^0(1-0.7)^{20}\\= 0.0007

0.0007 is the probability that all 20 securities lose value.

c) P(at least 15 of them lose value.)

P(x \geq 15)\\= P(x=15) + P(x = 16) + P(x=17) + P(x=18) +P(x = 19) +P(x = 20)\\ \binom{20}{15}(0.7)^{15}(1-0.7)^{5} +...+ \binom{20}{20}(0.7)^{20}(1-0.7)^{0} \\=0.4163

d) P(less than 5 of them gain value.)

P(gain value) = 1 - 0.7 = 0.3

P(x < 5)\\= P(x=0) + P(x = 1) + P(x=2) + P(x=3) +P(x = 4)\\ \binom{20}{0}(0.3)^{0}(1-0.3)^{20} +...+ \binom{20}{4}(0.3)^{4}(1-0.3)^{16} \\=0.2375

7 0
3 years ago
Victor has $90,000 in a savings account that earns 14% annually. The interest is not compounded.How much will he have in 4 month
TiliK225 [7]

Answer:

$ 5200

Step-by-step explanation:

int = money . time . rate

int = 90000 . 4/12 . 14/100

int = 900 . 1/3 . 14

int = 300 . 14

int = 5200

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2 years ago
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quester [9]

Answer: I think its (B) Reflection over the x-axis

Step-by-step explanation: Hope this helps!

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