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3 years ago

How many degrees ina right angle

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Having a look at a protractor, it shows 90. That is 1/2 pi RAD.

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A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 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. 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.

A real estate agent has 17 properties that she shows.

This means that $n = 17$

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 less than 3 properties in one week.

This is

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0$

$P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001$

$P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011$

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0

3 years ago

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n equals 125n=12

sesenic [268]

This is a matter of knowing the formulas involving the binomial distribution: Mean = n*p = 125*0.46 = 57.5
Variance = n*p*(1-p) = 125*0.46*(1-0.46) = 125*0.46*0.54 = 31.05
Standard Deviation = sqrt(Variance) = sqrt(31.05) = 5.572252686

7 0

4 years ago

When blank an exponential expression to a blank you the exponents.

kherson [118]

Answer: i do not no

Step-by-step explanation:

6 0

3 years ago

a video game has 35 levels in it if you beat 5 of the levels what is the ratio of levels left to the levels that have been beate

marta [7]

We have 35 - 5 = 30 levels left to beat.

The question is asking us for the levels left to beat, to the ones that already have been beaten:

30 : 5

Simplified;

6 : 1

8 0

3 years ago

Justify -5(2u+10)=2(u-7)

joja [24]

-5 (2u+10)=2 (u_7) apply distributive property -10u-50=2u-14 collect like terms -10u-2u=50-14 when you move the number to the other side sign change -12u =36 to get rid of 12 divide 12 on both sides -12u/-12= 36/-12 U= -3

3 0

3 years ago