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dsp73
3 years ago
12

What angles are vertical

Mathematics
2 answers:
Irina-Kira [14]3 years ago
5 0
The answer would be <14 and <16
gulaghasi [49]3 years ago
4 0

Answer:

14 & 16

Step-by-step explanation:

vertical angles are always congruent they are across from each other and are formed from straight lines home this helps you remember it!!

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A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during
forsale [732]

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This 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.

12 properties

This means that n = 12

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling no more than 6 properties in one week.

This is:

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

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

P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002

P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029

P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161

P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537

P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208

P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934

P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

6 0
2 years ago
Top side is 6 just couldn’t fit in picture
irina1246 [14]

Answer: 6

Step-by-step explanation:

Use the pythagorean theorem to find z first.

c^2=a^2+b^2\\c=\sqrt{a^2+b^2}

a = 12

b = 6

c = z

c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4

z is greater than a and b

3 0
3 years ago
102-(-8)+20-60-10+(-20)+30-(-30)
nasty-shy [4]
It's a 100..... :Dww
7 0
3 years ago
Read 2 more answers
Simon walks a total of 45.55 miles in March and 35.7 miles in April.
stich3 [128]

Answer:

81.25

Step-by-step explanation:

45.55 + 35.7

5 0
3 years ago
Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
stich3 [128]
Ali Mia and Jared are correct. Molly forgot to divide the 12 by 3
3 0
3 years ago
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