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3 years ago

8

Grant is painting a rectangular board that has a width of foot. He has enough paint to cover 3 square feet. If he is able to cov

er the whole board by using all of his paint, what is the length of the board in feet?

1 answer:

Daniel [21]3 years ago

4 0

I think that would be 1 by 3 feet

3 is my answer

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A TV has an original price of $599. Enter the new price after the given percent of change.

vlabodo [156]

Answer:

The new price = $718. 8

Step-by-step explanation:

Original Price = $599

Given that the increase is 20%.

i.e.

Thus,

The amount of 20% Percentage increase = 20/100 × 599

= 0.2 × 599

= $119.8

Therefore,

New price = Original price + 20% increase amount

= 599 + 119.8

= $718. 8

Therefore, the new price = $718. 8

8 0

3 years ago

F(x) = x + 2 when x = 10

murzikaleks [220]

Answer:

f(10) = 12

Step-by-step explanation:

f(x) = x + 2

Substitute x for 10.

f(10) = 10 + 2

f(10) = 12

8 0

3 years ago

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There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3

Helen [10]

45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12

5 0

3 years ago

Set of real numbers satisfying 2x=3

algol [13]

2x = 3
x = 3/2 or 1 1/2 or 1.5

5 0

3 years ago

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At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

6 0

3 years ago