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ohaa [14]
3 years ago
9

Lily makes $8.50 an hour babysitting. She has $55.50 in her bank account now . If she does not withdraw any money , how many hou

rs will she need to work to have $200 in her account ? Please solve
Mathematics
2 answers:
jeka943 years ago
8 0

She already has $55.50 in her bank account.

To have $200 in the bank account, she needs to add $200 - $55.50 = $144.50

$144.50/($8.50/hour) = 17 hours

Answer: She needs to work 17 hours.

Musya8 [376]3 years ago
6 0

Answer:

The answer is explained below.

Step-by-step explanation:

First of all, it is necessary to do the following subtract:

200-55.50=144.5, which is the money she needs to reach $200.

If she earns $8.5 an hour, we must divide the following:

144/8.5=18.06

So, if she wants to get up to $200 dollars, she must work a little more than 18 hours.

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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

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3 0
2 years ago
The data shown represent the number of runs made each year during Bill Mazeroski’s career. Check for normality.
const2013 [10]

Answer:

The given data is not normal.

Step-by-step explanation:

We are given the following data:

30, 59, 69, 50, 58, 71, 55, 43, 3,  66, 52, 56, 62, 36, 13, 29, 17, 31

Condition for normality:

Mean = Mode = Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{800}{18} = 44.44

Mode is the most frequent observation of the data.

Since all the value appeared once, there is no mode.

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 3, 13, 17, 29, 30, 31, 36, 43, 50, 52, 55, 56, 58, 59, 62, 66, 69, 71

Median =

=\dfrac{9^{th}+10^{th}}{2} = \dfrac{50+52}{2}=51

Since the mean, mode and median of data are not equal, the data is not normal.

7 0
3 years ago
What is the value of 14-a^{2} given a=-3?
BlackZzzverrR [31]

Answer:

answer is d

work is pictured

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3 years ago
If f(x) = 2x - 1 and g(x)=x²-3x-2, find (f+ g)(x).
Ira Lisetskai [31]

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2 years ago
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Sonja [21]
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