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igomit [66]
3 years ago
10

Simplify the expression 6×2/(-14) + 9 × 2

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
Use order of operations from left to right
• and / first
+ and - second

[6•2/(-14)]. +(9•2)=
(12/-14)+18=
(-6/7)+ 18•7/7=
(-6+126)/7=
120/7

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A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used 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 real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

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

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
3 years ago
If c=25 and B=75 degrees, find a. Round to the nearest tenth.
worty [1.4K]

Answer:

a=6.9

Step-by-step explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get \frac{\sin(90^\circ)}{25} = \frac{\sin(16^\circ)}{a}, which after cross multiplying yields a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

5 0
3 years ago
How many groups of 6 are in 95?
NikAS [45]

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

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3 years ago
11 points on the line and I will thank you and give the brainiest 
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0.01 gram is equal to B. 1 centigram.
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What property would you use to solve for x?<br> (3x +60)
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Multiplication, Division, and addition
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