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gayaneshka [121]
3 years ago
12

Which value is the same as 2 tenths?

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0
One fifth
1/5

.........
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For the equation y=5+6x, what does y equal when x is 4?
xxTIMURxx [149]

Answer:

y=31

Step-by-step explanation:

we know that x=4

5+6(4) = y

5+24 = 31

y= 31

Hoped this helped

4 0
3 years ago
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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 line has a slope of 2. Write an equation in slope intercept form for the line that is perpendicular to this line.
notsponge [240]

Hey there!

A perpendicular line's slope to another line is always the negative reciprocal of slope.

If our line has a slope of two, we first must find the reciprocal, which is 1/2. Then, we put a negative on it.

Therefore, our equation is y=-1/2x+b.

I hope that this helps! Have a great day!

6 0
3 years ago
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The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the r
Elina [12.6K]
Answer: Choice A) subtracting; subtracting

The goal is to find the legs of the right triangle, so you can find the hypotenuse. The hypotenuse is the distance between the two points. See the attached image. 

7 0
3 years ago
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Please answer correctly! I will mark you as Brainliest!
Hitman42 [59]

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

8 0
3 years ago
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