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3 years ago

If m∠CBD = 40°, find m∠CAD. A) 30° B) 40° C) 50° D) 60° E) None of the above

Mathematics

1 answer:

aleksandrvk [35]3 years ago

7 0

The triangles cross the center of the circle CAD is the same as CBD.

The answer is B) 40 degrees.

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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 12 oranges cost $4.20, what is the unit price?

Tcecarenko [31]

Answer:

50.4

Step-by-step explanation:

4.20x12

4 0

3 years ago

Read 2 more answers

How are fractions and decimals related?

Savatey [412]

Fractions and decimals are related in a very close way. Ways such as they are both representing a whole number.

for example

1/2 , 0.5 , 50%

all three numbers have the same value but are expressed in a different format. all three represent the same whole number.

another example would be

1/4 , 0.25 , 25%

hopefully this helped. and or makes sense.

LET ME KNOW :p

7 0

3 years ago

A total of $5000 is invested: part at 9% and the remainder at 14%. How much is invested at each rate if the annual interest is $

IceJOKER [234]

9514 1404 393

Answer:

$200 at 14%
$4800 at 9%

Step-by-step explanation:

Let x represent the amount invested at 14%. Then 5000-x is the amount invested at 9%. The interest earned is ...

(14%)x +(9%)(5000 -x) = 460

0.05x +450 = 460 . . . . . . . . . . simplify

0.05x = 10 . . . . . . . . . . . . . . subtract 450

x = 200 . . . . . . . . . . . . . . divide by 0.05

5000-x = 5000-200 = 4800

$200 was invested at 14%; $4800 was invested at 9%.

7 0

3 years ago

The quotient of 18 and n

Stella [2.4K]

$18:n=\dfrac{18}{n}$

7 0

2 years ago