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Leokris [45]
2 years ago
11

Answer the following questions. (a) 25% of what number is 16? (b) 85% of 40 is what?

Mathematics
2 answers:
kati45 [8]2 years ago
6 0

Answer:

A is 64 and b is 34

Step-by-step explanation:

Neporo4naja [7]2 years ago
4 0

Answer:

64 and 34

Step-by-step explanation:

Write the statement symbolically in each case:

a) 0.25n = 16; dividing both sides by 0.25 yields n = 64

b) 0.85(40) = 34

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P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?
icang [17]
P(A U B) = P(A) +P(B) - P(AB) \\  \\ = \frac{7}{20} +\frac{3}{5} - \frac{21}{100} \\  \\ = \frac{35}{100} +\frac{60}{100} - \frac{21}{100}  \\  \\ =\frac{74}{100}  \\  \\ =\frac{37}{50}
6 0
3 years ago
Line a is represented by the equation y=−2x+3 .
Daniel [21]
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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
Drag and drop question I need help on ASAP
klasskru [66]

[] Similar

-> The triangles are similar because they were "mirrored" by the...

[] SSS

-> ... by the SSS similarity theorem, the sides are...

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-> ... the sides are proportional.

[] AB/AC

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[] For the last two I think I am missing some information as I do not have any numbers and know where they got 85 from.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0
3 years ago
BIG POINT FOR WHOEVER HELPS ME! PLEASE!!!!!Simplify and determine the coefficient of (-2/3X)(3Y).-X)
rewona [7]
You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.
6 0
3 years ago
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