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miv72 [106K]
4 years ago
6

X(3 - 5) + (4b) = x = 8 b = 3

Mathematics
1 answer:
RoseWind [281]4 years ago
6 0
x (3-5) + (4b)
= x ( -2) + (4b), since x=8 b=3
= -16 + 12
= -4

What I did there is substitution
Replacing x with 8 ,and b with 3
So -16 is the product of (-2) and 8
And 12 is the product of 4 and 3

FYI: -2 is the result of 3 - 5
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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with
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Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that 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.

In this question, we have that:

n = 7, p = 0.5

Find the probability that the number of correct answers is fewer than 4:

This is

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078

P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547

P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641

P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5

So

P(X < 4) = 0.5

6 0
3 years ago
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umka21 [38]

Answer:

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7 0
4 years ago
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I think the chase tower has 48 stories.
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4 years ago
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Josh and Katya both work at a library making $9 per hour if Katya work seven more hours than Josh last week and they made $279 c
lora16 [44]

Answer:

19 hours

Step-by-step explanation:

You have 279. First, devide the 279 by 9(dollar amount).

279/9 = 31

So combined they work 31 hours. Subtract 7 from this, since we know Katya worked 7 extra hours. Youll now have 24.  (31-7 = 24)

Next, divide this number in half, which will get you what they both worked before Katya worked an extra 7 hours.

24/2 = 12.

Now that we know they both worked 12 hours, we can just add back the 7 hours Katya worked.

12+7 = 19.

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<u>19 hours</u>

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Answer:

40963

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