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Akimi4 [234]
3 years ago
15

The response of randomly-selected people to the question, "how many hours of sleep did you get last night?"

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0
10 hours of sleep last night
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Using n = 3.14, find the area of a circle with a radius of 16.
KATRIN_1 [288]

Answer:

803.84=A

Step-by-step explanation:

The area of a circle can be found by using the equation \pi r^{2}=A.

\pi r^{2}=A

(3.14)(16^{2})=A

(3.14)(256)=A

803.84=A  and the units are, how ever the radius is measured cubed

8 0
3 years ago
Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that fo
guapka [62]

Answer:

y = 0.019x - 7

32.9 therms

0.019 therms

1.9 therms

Step-by-step explanation:

Given the following :

X =size of house (sq ft)

Y = Amount of natural gas used

The general form of a some linear regression model :

y = ßx + a

Where ;

ß = slope or gradient

x = independent variable

y = predicted value

a = y- intercept value

(A)

If ß = slope of population regression line = 0.019

a = y intercept of population regression line = -7

The regression model could be expressed as :

y = 0.019x + (-7)

y = 0.019x - 7

(B)What is the mean value of gas usage for houses with 2100 sq ft of space?

Here x = 2100 sq ft ; Inputting the value of x into the regression equation:

y = 0.019x - 7

y = 0.019(2100) - 7

y = 39.9 - 7

y = 32.9 therms

C) What is the average change in usage associated with a 1 square foot increase in size?

Change in usage associated with change in size can be gotten from :

ßx, where, ß change in y with respect to x ;

x = 1 square foot

ß = 0.019

Change = 0.019*(1) = 0.019 therms

(d) What is the average change in usage associated with a 100 square feet increase in size?

ßx, where, ß change in y with respect to x ;

x = 100 square feet

ß = 0.019

Change = 0.019*(100) = 1.9 therms

6 0
3 years ago
Work out the following, giving your answer in the simplest form <br> A) 4/7 divided by 1 3/4
spayn [35]

Answer:

The answer to your question is 16/49

Step-by-step explanation:

Data

4/7 ÷ 1 3/4

Process

1.- Convert the mixed fractions into improper fractions

1 3/4 = (4 + 3) / 4 = 7/4

2.- Divide

       4/7 ÷ 7/4 = 16/49

3.- Simplify

I think it is not possible to simplify.

4.- Also we can solve this problem by converting the division into a multiplication, just invert the second fraction.

      4/7 x 4/7 = 16/49

The result is the same.

8 0
3 years ago
Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
MaRussiya [10]

Answer:

12

Step-by-step explanation:

The formula for distance between points is \sqrt{(x.2-x.1)^{2} +(y.2-y.1)^{2}

So when you inserts the coordinates in this formula, it would be \sqrt{(-2-3)^2+(-6-5)^2}

\sqrt{(-5)^2+(-11)^2}

\sqrt{25+121}

\sqrt{146}

=12.08305

Usually, distance is round to whole number. So, it would be 12

4 0
3 years ago
A store advertises 15% off an item that regularly sells for $300.
nataly862011 [7]

Answer:

The sale price of the item is  $ 255

Step-by-step explanation:

To determine the amount of discount ( d ) offered by the store, we calculate  

15 %  of the sale price. Thus:

d =  300  ×  15 ÷ 100

d  =  3 00  ×  15  ÷ 1 00  (take the 2 zeros out on both the hundred and 3 hundred)

d  =  3  ×  15

d  =  45

If the amount of discount is known, the sale price ( s ) of the item will be the regular price minus the discount. Hence:

s  =  300  −  45

s  =  255

Hope this helps you! If not sorry!

8 0
2 years ago
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