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earnstyle [38]
3 years ago
11

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu

al of 1?
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

The residual of 1 is 0.5.

Step-by-step explanation:

The given function is

y=2x+1.5

Substitute x=1 in the given equation of line, to find the expected or estimated value of the function at x=1.

y=2(1)+1.5

y=3.5

The point (1, 4) is in the data set. It means the actual value of the function is 4 at x=1.

The formula to calculate the residual is

Residual = Observed value - Estimated value

The residual of 1 is

Residual=4-3.5=0.5

Therefore the residual of 1 is 0.5.

Andreas93 [3]3 years ago
5 0
A. 0.5 well at least that's the answer in ingenuity.<span />
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Probably 8!

Step-by-step explanation:

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If twelve pounds of nails cost $3.84 what is the unit cost A) 32c B) 28c C) 23c D) 18c
aalyn [17]

Answer:

Option A) 32c

Step-by-step explanation:

we know that

To find the unit cost, divide the total cost of twelve pounds by twelve pounds

so

\frac{\$3.84}{12}=\$0.32

Remember that

1$=100 cents

Convert dollars to cents

\$0.32=0.32*100=32c

therefore

The cost of one pound of nails cost 32 cents

7 0
3 years ago
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-4/7 + 2/7x - 14x + 4/7
alexgriva [62]

Answer:

The solved given expression is

\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}

Step-by-step explanation:

Given expression is \frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}

To solve the given expression :

\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}

=\frac{-4+4+2x}{7}-14x

=\frac{0+2x}{7}-14x

=\frac{2x}{7}-14x

=\frac{2x-14x(7)}{7}

=\frac{2x-98x}{7}

=\frac{-96x}{7}

Therefore \frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}

Therefore the solved given expression is

\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}

5 0
3 years ago
a grocery store sells and imported specialty cheesecake for $11 and its own store baked cheesecake for five Use the distributive
Radda [10]
I think its 17 the answer

7 0
3 years ago
Jim is working at a restaurant. His first table ordered 4 sodas and 4 baskets of fries for $16.00. His second table ordered 4 so
PtichkaEL [24]

Answer:

the price of each soda is $1.75

Step-by-step explanation:

Notice that there are two unknowns; the price of each soda  (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)

We can then write two equations using the information on the total price for each order:

(a)    4 s + 4 b = 16

(b)   4 s + 3 b = 13.75

we can now subtract term by term equation (b) from equation (a), and obtain:

4 s - 4 s + 4 b - 3 b =  16 - 13.75

0 + b = 2.25

So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:

4 s + 4 (2.25) = 16

4 s + 9 = 16

4 s = 16 - 9

4 s = 7

s = 7/4

s = 1.75

So, the price of each soda is $1.75

5 0
4 years ago
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