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g100num [7]
3 years ago
9

The bakery used 29 pounds of butter on Tuesday, 53 pounds of butter on

Mathematics
2 answers:
vlada-n [284]3 years ago
7 0

Answer:203

Step-by-step explanation: I have no  explanation

Burka [1]3 years ago
5 0

Answer:

203 Ibs of butter

Step-by-step explanation:

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To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp
riadik2000 [5.3K]

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a <u>+</u> bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

  • Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
  • Slope Interpretation :<u> When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e</u><u> </u><u>$2380</u>
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Which expression uses the associative property to make it easier to evaluate
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An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng
Pavlova-9 [17]
Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
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Obama wants to know your location? <br> WHat do you do
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3 years ago
The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

3 0
2 years ago
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