MATHEMATICS COLLEGE

When Stephan moved from Illinois to Florida, his average monthly electric bill increased from $83 to $102. He is curious to know whether his IL or FL electric bill is relatively more or less expensive, when compared to the distribution of electric bills for each state. In Illinois, the mean monthly electric bill is $85, with a standard deviation of $3.20. In Florida, the mean monthly electric bill is $105, with a standard deviation of $4.00. Compute the z-scores for Stephan's IL and FL electric bills. Round to three decimal places if necessary.

Answers

Answer 1

Answer:

Using it's formula, it is found that the z-scores are:

For Illinois, of Z = -0.625.

For Florida, of Z = -0.75.

Due to the lower z-score, the bill is relatively lower in Florida.

Z-score:

In a distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

It measures how many standard deviations the measure is from the mean.

The higher z-score means that the measure X is relatively higher.

In Illinois:

Bill of $83, mean of $85, standard deviation of $3.2, hence $X = 83, \mu = 85, \sigma = 3.2$

Then:

$Z = (X - \mu)/(\sigma)$

$Z = (83 - 85)/(3.2)$

$Z = -0.625$

In Florida:

Bill of $102, mean of $105, standard deviation of $4, hence $X = 102, \mu = 105, \sigma = 4$

Then:

$Z = (X - \mu)/(\sigma)$

$Z = (102 - 105)/(4)$

$Z = -0.75$

Due to the lower z-score, the bill is relatively lower in Florida.

To learn more about z-scores, you can take a look at brainly.com/question/21620274

Answer 2

Answer:

Answer: The z-scores for Stephan's IL and FL electric bills. are -0.625 and 0.75 respectively.

Step-by-step explanation:

Given: Average monthly electric bill in Illinois = $83

Average monthly electric bill in Florida = $102

Formula of z : $z=(X-mean)/(standard\ deviaton)$

In Illinois, the mean monthly electric bill is $85, with a standard deviation of $3.20.

$z=(83-85)/(3.20)= -0.625$

In Florida, the mean monthly electric bill is $105, with a standard deviation of $4.00.

$z=(105-102)/(4)=(3)/(4)=0.75$

Hence, the z-scores for Stephan's IL and FL electric bills. are -0.625 and 0.75 respectively.

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A battery with 20 percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% , percent of its capacity is charged.

Y=1/2x-5
Write it in a standard form

Answers

we know that

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.Ax+By=C

so
Y=1/2x-5--------> (1/2)x-y=5
where
A=1/2
B=-1
C=5

the answer is
(1/2)x-y=5

Help me with this sum I will mark you as brainiest

Answers

Answer:

380

144

147

345

114

368

296

174

Answer:

30 x 6 = 180

95 x 4 = 380

48 x 3 = 114

21 x 7 = 147

69 x 5 = 345

38 x 3 = 114

46 x 8 = 368

74 x 4 = 296

29 x 6 = 174

31 x 2 = 62

The parabola y=x2 is scaled vertically by a factor of 7. What if the equation of the new parabola

Answers

Answer:

$f(x) = x^2$

And we want to scale vertically this parabola by a factor of 7. So then we need to multiply our function by the factor:

$g(x) = k f(x)$

And then function would be:

$g(x) = 7x^2$

Step-by-step explanation:

For this case we have the original function given by:

$f(x) = x^2$

And we want to scale vertically this parabola by a factor of 7. So then we need to multiply our function by the factor:

$g(x) = k f(x)$

And then function would be:

$g(x) = 7x^2$

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?

Answers

Answer:

135 times

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1850.00? (Sentence) *1 point
Captionless Image

Answers

Price of lunch of each, P = $ 18.45/3 = $ 6.15 .

Now, number of people that can eat the barbecue at a budget of $1850.00 is:

$n=(1850)/(6.15)\n\nn=300.81$

Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .

Hence, this is the required solution.

A number is selected atrandom from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?