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Serggg [28]
2 years ago
10

Ronnie wants to lower his utility bills to save money on his monthly expenses. He discovers that if he replaces his water heater

with a solar water heater his monthly utility bills can decrease around 50% to 85%. At the end of the year Ronnie wants to calculate the percentage his new solar water heater saved him in the utility bills compared to last year. Ronnie's total utility expenses for this year are $862.40 and last year the utility expenses were $1935.67. What percentage did Ronnie save on his utlility bills by switching to a solar water heater?
Mathematics
2 answers:
Soloha48 [4]2 years ago
5 0

Alright, lets get started.

Last year, Ronnie's utility expenses were = 1935.67 $

After switching to electric water heater to solar water heater, his yearly utility bills get reduced.

This year, Ronnie's utility expenses are = 862.40 $

So the difference on utility bills Ronnie saved = 1935.67 - 862.40

so, difference Ronnie saved = 1073.27 $

So, the percentage of amount Ronnie saved = \frac{1073.27}{1935.67} *100

Percentage of amount Ronnie saved = 55.45 %    

Hence, 55.45 % Ronnie save on his utlility bills by switching to a solar water heater.   :    Answer

Hope it will help :)


marusya05 [52]2 years ago
3 0

Answer:

The answer is C.

Step-by-step explanation:

This is right on ednuity

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Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted f
kirza4 [7]

Answer:

<u>1. Emily scored 60 points in the first round</u>

<u>2. Emily scored minus 30 points in the second round</u>

<u>3. Emily's final score is 15 points.</u>

Step-by-step explanation:

1. Let's review all the information given to us to answer the questions correctly:

Points awarded for a correct answer = 20

Points deducted for a incorrect answer = 10

2. Let's calculate the score of Emily in the first round:

Score = 7 * 20 - 8 * 10

Score = 140 - 80

Score = 60

<u>Emily scored 60 points in the first round</u>

<u>3. </u>Let's calculate the score of Emily in the second round:

Score = 4 * 20 - 11 * 10

Score = 80 - 110

Score = - 30

<u>Emily scored minus 30 points in the second round</u>

<u>4. </u>Let's calculate the final score of Emily:

Final score = (Score 1st round + Score 2nd round)/2

Final score = (60 + - 30)/2

Final score = (60 - 30)/2 = 30/2 = 15

<u>Emily's final score is 15 points.</u>

4 0
2 years ago
Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
abruzzese [7]

Answer:

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

Step-by-step explanation:

We have to make a hypothesis test to prove the claim that the average vertical jump of students differs from 15 inches.

The null and alternative hypothesis are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is 0.10.

The sample mean is 17 and the sample standard deviation is 5.37.

The degrees of freedom are df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-sided P-value for t=1.67 is P=0.11132.

This P-value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

7 0
2 years ago
According to a Field Poll conducted February 8 – 17, 2005, 79% of California adults (actual results are 400 out of 506 surveyed)
Jobisdone [24]

Answer: (0.760, 0.820)

Step-by-step explanation:

Let p be the population proportion of all adults feel that "education and our schools" is one of the top issues facing California.

Given : 79% (actual results are 400 out of 506 surveyed) of California adults feel that "education and our schools" is one of the top issues facing California.

i.e.Sample size : n= 506

Sample proportion : \hat{p}=0.79

Critical value for 90% confidence interval ( Using z-value table) :

z=1.645

Now, the 90% confidence interval for the population proportion will be :

\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.79\pm (1.645)\sqrt{\dfrac{0.79(1-0.79)}{506}}

i.e. 0.79\pm (1.645)(0.0181)

\approx0.79\pm 0.030=(0.79-0.030,\ 0.79+0.030)\\\\=(0.760,\ 0.820)

Hence, the 90% confidence interval for the population proportion= (0.760, 0.820)

7 0
2 years ago
Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancelations on different days are in
andrezito [222]
<h3>(a)Probability of cancelling at least 4 classes  is 0.0055.</h3><h3>(b)Probability of 10th class is third class that gets cancelled  = 0.0031</h3>

Step-by-step explanation:

Here, the question is<u> incomplete</u>.

Every day, a lecture may be canceled due to inclement weather with probability 0.05. Class cancellations on different days are independent.

(a) There are 15 classes left this semester. Compute the probability that at least 4 of them get canceled.

(b) Compute the probability that the tenth class this semester is the third class that gets canceled.

Now, here:

The probability of cancelling each class  = 0.05

Now, probability of cancelling at least 4 classes

= 1 - P(Cancelling  at max 3 classes)

=  1 - P(0 ≤ x  ≤  3)   = 1 - Binomial (15,0.05,3)

= 0.0055

Hence, probability of cancelling at least 4 classes  is 0.0055.

(b) As given, 10th class is third class that gets cancelled.

So, the first and second classes that get cancelled in between 1 - 9.

P(2 class cancelled in 1st 9) = Binomial (15,0.05,3) = 0.0629

Also, as given  P(10th class cancelled) = 0.05

⇒ P(10th class is third class that gets cancelled ) = 0.0629 x 0.05 = 0.0031

5 0
2 years ago
Help please. My teacher didn't give a clear explication on this topic.
dmitriy555 [2]
The answer is

C' = (0,3)



good luck
5 0
2 years ago
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