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sleet_krkn [62]
3 years ago
11

Solve for x. 2 ( x + 1 ) = 12

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0

Answer:

Use the distributive property and you get 5.

2(x+1) = 12

2x + 2 = 12

Subtract 2 from both sides

2x = 10

Solve x.

x = 5

Evgen [1.6K]3 years ago
5 0

2 ( x + 1 ) = 12

Use distributive property:

2x + 2 = 12

Subtract 2 from both sides:

2x = 10

Divide both sides by 2:

X = 5

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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
Suppose the height of an 18 year old boy is normally distributed with mean 187cm fifteen percent of 18 year old boys have height
BARSIC [14]

Answer:

the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403

Step-by-step explanation:

P( x > 193) = 0.15

= 1- p(x less than or equal 193)

= 1 -p( z < (x- u) /sigma)

= 1- p( z< (193 - 187)/ sigma)

= 1- p( z< 6/ sigma)

P(z< 6/sigma) = 1 - 0.15

P(z < 6/sigma)= 0.85

6/sigma =1.036

Sigma= 6/1.036

Sigma= 5.79

P( x> 185) = 1- p( x< 185)

= 1- p (z < (185- 187)/5.79)

= 1- p( z< -0.345)

= 1- 0.365

= 0.635

P (x> 185) = 0.635 × 0.635

=0.403

3 0
3 years ago
Can someone please help me with this?? please please please help me
Nadya [2.5K]

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

8 0
3 years ago
Whats 560,233,827,222,400 X 2 my computer doesnt respond <br> also whats 8,591,715,599,360 X 2
levacccp [35]
The first answer is 1120,467,654,444,800

the second answer is 17,183,431,198,720
6 0
3 years ago
Write (-5+8i)+(-5-8i) as a complex number in standard form
gizmo_the_mogwai [7]
(-5+8i)+(-5-8i) =&#10;-5+8i-5-8i=-10
5 0
3 years ago
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