1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ch4aika [34]
3 years ago
6

) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

You might be interested in
the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,
kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • One in ten students are named Joe, hence p = \frac{1}{10} = 0.1.
  • There are 15 students in the class, hence n = 15.

The probability that at least one of them is named Joe is:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0
3 years ago
Directions: Write your own recipe for trail mix with a catchy name that will make people want to eat it. You can also create a s
tatiyna

Is this a joke?\ that makes no snese

6 0
3 years ago
Please help me 123 or 4
butalik [34]

Answer:

3

Step-by-step explanation:

because divide Pt from both sides to get r=i/(pt)

8 0
3 years ago
Select the correct answer from each drop-down menu.
emmainna [20.7K]

The <u>  nominal return  </u>on an investment doesn't consider the effect of inflation on purchasing power. If the inflation rate is positive, then the real return will be <u>  less than  </u> the nominal return on an investment.

Positive inflation eats away at the value of the dollar. For instance, an item worth $100 one year could be worth $105 the next year if inflation was 5%. Therefore, you've lost 5 dollars worth of purchasing power (since you need 5 extra dollars to get the same item).

The formula is

real return = nominal return - inflation

If inflation is positive, then the real return is smaller than the nominal return.

If inflation is negative (ie we have deflation), then the real return is larger than the nominal return.

6 0
3 years ago
Read 2 more answers
Please help me !!!!!!!
cupoosta [38]

Answer:

There is no slope therefore its undefined

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the probability that out of 400 babies born, 205 or fewer will be girls?
    11·2 answers
  • Find all residues (A) such that (A) is its own inverse modulo 317.
    9·1 answer
  • Simplify the expression: x^2+3x-28/x^2-7x+12. <br> Show your work.
    10·1 answer
  • Hurry, please! The 373 students who listed soccer as their favorite sport were 13 more than three times the number of students w
    12·1 answer
  • On average the number of electron a keyboard Selden New York each year is 115,648 which is eight times the average number of ele
    14·2 answers
  • Rose picked 18 tulips and 20 lilies.She divided the flowers into groups so that the same number of tulips and lilies were in eac
    9·2 answers
  • Please help me
    13·1 answer
  • Dee's clothing is having a discount of 40% on all shirts. Let x represent the regular price of any shirt in the store. Enter an
    15·1 answer
  • Which set of ordered pairs could be generated by an exponential function?
    12·1 answer
  • A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!