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professor190 [17]
2 years ago
11

I am not sure of the answer which one of the option is it?

Mathematics
1 answer:
Aneli [31]2 years ago
6 0

Step-by-step explanation:

well, there are a few things you have to burn into your brain for all times. one of these is : the sum of all angles in a triangle is always 180 degrees. it does not matter what type of triangle it is. the sum is always 180 degrees.

so,

180 = A + 80 + 40

60 degrees = A

so, B. is the right answer.

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Factor completely 64x2 − 49. (1 point)
Roman55 [17]

Answer:

(8x-7)(8x+7)

Step-by-step explanation:

This is a difference of squares polynomial of the form a^2-b^2=(a+b)(a-b). Since 64 and 9 are both perfect squares then take the square root of each so a=8 and b=7.

Factors:(8x-7)(8x+7)

6 0
3 years ago
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
What is -4(x+3)=16-4x
nignag [31]

Answer:

There is no solution

Step-by-step explanation:

-4(x+3)=16-4x

expand

−4x−12=16−4x

cancel out

−12=16

because −12=16 is false there is no solution.

Hope this helps :)

8 0
2 years ago
A decimal number which ends after a finite number of digits after the decimal point is called a _ _ _ _ _ _ _ _ _ _ _ decima
Usimov [2.4K]
Terminating decimal  is what ur looking 4
8 0
3 years ago
Read 2 more answers
Consider the line y=9x-8
jasenka [17]

Answer:

y=9x+75

Step-by-step explanation:

since we know that the slope must be the same for two lines to be proportional, we are gonna start there.

so our equation is: y= 9x + b

we need to find b to complete our equation, so substitute in the points we were given.

3 = 9(-8) + b

so now,

3 = -72 + b

now we have to isolate b to find out what it is,

3  =  -72 + b

+72   +72

so now: 75= b

Put that back into the starting equation: y = 9x + 75

7 0
3 years ago
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