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Lorico [155]
2 years ago
7

In a school election, 2/5 of the 30 candidates are girls and the rest are boys. How many candidates are boys?

Mathematics
2 answers:
Marianna [84]2 years ago
7 0
This should solve this problem

MrMuchimi2 years ago
3 0
Answer: 18

explanation: 30 split into 5 groups have 6 people in each. And 3 groups of 6 is 18. :) hope this helped
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Simplify (125)^-2/3 with positive exponents and no radicals <br>show all work.<br>PLEASE HELP
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For this case, what you should keep in mind are the following considerations:

 1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.

 2) Simplify the expression as much as possible.

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3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 25 20 ​
Komok [63]

Answer:

15

Step-by-step explanation:

using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2}  = x {}^{2}  + 20 {}^{2}  \\ 625 = x {}^{2}  + 400 \\ x {}^{2}  = 625 - 400 \\ x {}^{2}  { = 225} \\ x =  \sqrt{225}   \\ x = 15 \\ lenght \: of \: the \: third \: side = 15

3 0
2 years ago
About 56% of the 2553 students are in rolled in at least one honors classes how many students are in rolled in an honors class
levacccp [35]

Answer:

1430 students

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So 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.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

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

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
A rectangle with an area of 103 square feet is dilated by a scale factor of 3. What is the new area?
nekit [7.7K]
Okay so a dilation means that you would multiply the area by your scale factor. 103 times 3 is 309. Your answer is 309
8 0
3 years ago
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