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3 years ago

HELP ME PLEASE?? :( HELP ME

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

I really dislike long simplification times 4 questions so I will jsut put the answers on some of them

1. remember that the denomenator cannot equal zero so find what values will and restrict them
the answer is the third one or $\frac{3}{(x+6)(x-1)}$

2. second one
(3x-2)/(5x)

3. what you would do is factor the top and divide factors making ones
answer is the fourth one or $\frac{2(3x^{2}-7)}{2x^{2}+3}$

4. find the LCM of the denoemators
4x and 2
4x=2 times 2 times x
2=2
LCM=4x
answer is the third one or 4x

ANSWERS:
1. third
2. second
3. fourth
4. third

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Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. 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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

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

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

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

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

Can anyone help me on #3?? And explain?

Alekssandra [29.7K]

Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)

7 0

3 years ago

Find the distance and midpoint between (3,6) and (5,11)

zepelin [54]

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

4 0

3 years ago

Circle O has tangent AB and secant AC as shown. arc BC measures 4x+2-. arc BE measures 2x-10. What is the measure of arc CB

dangina [55]

Answer:

b. 160°

Step-by-step explanation:

angle A = (far arc - near arc)/2

far arc is arc BC and near arc is arc BE. Replacing into the equation:

∠A = (arc BC - arc BE)/2

50 = [4x + 20 - (2x - 10)]/2

50*2 = 2x + 30

x = (100 - 30)/2

x = 35°

Replacing this information into arc BC equation:

arc BC = 4(35) + 20 = 160°

7 0

3 years ago

A(t)=728(1+0.04)^t how much money did Aditya originally invest

Sergeeva-Olga [200]

$728.00 I’m assuming. Because the equation should be A(t)= P(1+i) ^t right? Telling us that P= principal, i= interest & t= time.
I’m assuming from MY financial mathematics class.

3 0

2 years ago