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kifflom [539]
2 years ago
15

Which of the following statements will complete step #3 in the algebraic proof? Given 5(x + 3) – 2 = 13 step-by-step

Mathematics
2 answers:
Elena L [17]2 years ago
4 0

Answer:

x=2

Step-by-step explanation:

5(x+3)-2=13

5(x+3)=15

x+3=5

x=2

tia_tia [17]2 years ago
4 0
X=-2 What they said.
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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,
Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. 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.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that p = 0.08

Sample of 11 college graduates:

This means that n = 11

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

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

P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0
3 years ago
The diagram shows a 5 cm x 5 cm x 5 cm cube.
Nitella [24]

Answer:

8.7 cm

Step-by-step explanation:

The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)

Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So

a^2 +b^2 = c^2

5^2 + 5^2 = c^2

25 + 25 = c^2

√50 = c

Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).

a^2 +b^2 = c^2

√50^2 + 5^2 = c^2

50 + 25 = c^2

√75 = c

c = 8.6602...

<em>when rounded to 1 d.p.</em>

c = 8.7

Line AB is 8.7 cm long.

7 0
3 years ago
Solve for C = 2pie.
bonufazy [111]
I don’t think you can do that
5 0
2 years ago
Round 543,982 to the nearest thousand.
Ratling [72]

Answer:

544,000

Step-by-step explanation:

6 0
3 years ago
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Simplify 3x²y³ over 12x⁶y
Svetllana [295]

Answer:

12x^6y

Step-by-step explanation:

7 0
3 years ago
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