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ryzh [129]
3 years ago
5

What are the terms coefficients and constants of 8x + x2/3

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

coefficients =8 and 2/3

constants are also 8 and 2/3

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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
Vedmedyk [2.9K]

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
Find the length and width of the actual room, shown in the scale drawing. Then find the
exis [7]

Answer:

Just put this in your calculator I've shown you how to do the conversion

6 0
3 years ago
Five times the sum of 9 and some number is 145. What is the number?
Andrews [41]

Answer:

x=20

Step-by-step explanation:

5(x+9) =145 (watch carefully)

5x + 45 = 145

5x + 45 - 45 = 145 - 45

5x = 100

5x/5 (to cancel eachother out) then --> 100/5

x=20

5 0
4 years ago
F(a)= 2(a + 3) -2 simplify
kirill [66]

Answer:

f(a)=2a+4

Step-by-step explanation:

1. multiply 2×a, which equals to 2a

2. then multiply 2×3, which equals to 6

3. then you'll get f(a)=2a+6-2

4. subtract 6 and 2

5. once that is done your answer will be f(a)=2a+4

3 0
3 years ago
What is <br> 22 less than 5 times a number f
Marina86 [1]

Answer:

22-5f

Step-by-step explanation:

22 less than 5 would be 22-5 and then 5 times a number f would be 5f so you would just put it all together and you would get 22-5f. I hope this is helpful

6 0
3 years ago
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