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3 years ago

Zoe is working two summer jobs, making $7 per hour babysitting and making $15 per

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

Answer: she needs 6.8 ie 6 hrs 48 min to make exactly 102$ AND

7,8,9,10 hrs to make higher than that.

Step-by-step explanation:

Zoe makes $7 per hr for babysitting

Zoe makes $15 per hr clearing table

Max hrs to work = 14 hrs

Min earn = $130 for 14hrs

He works four(4) hrs babysitting , so he made = $7*4=$28

Hours remaining = 10 hrs

Money remaining to be earned in 10 hrs = 130 - 28= $102

For her to make at least$102 she needs from 7 hrs to 10 hrs

Reason, 15*6=$ 90

90 is less than 102

So from 7 to 10 hrs will meet her requirement and there will be extra gain.

But to make exactly she needs 102/15=6.8 hrs = 6 hrs 48 min

Rasek [7]3 years ago

6 0

Answer:

7, 8, 9, 10

Step-by-step explanation:

If Zoe worked 4 hours of babysitting at $7 per hour, she earned $28. Therefore, she must earn another $102 to earn at least $130. At $15 per hour, she must work a minimum of 7 hours clearing tables to make at least $102. This is fine since she can work another 10 hours before reaching her maximum of 14 total hours. Therefore, all possible values for the number of whole hours clearing tables that she must work to meet her requirements are 7, 8, 9, 10.

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For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a len

Sholpan [36]

Answer:

$\boxed{\boxed{\theta=150^{\circ}}}$

Step-by-step explanation:

We know that,

$\text{Arc length}=r\cdot \theta$

where,

r = radius,

θ = central angle in radian.

Given,

diameter = 6 m, so radius = 3 m.

$\text{Arc length}=\dfrac{5}{2}\pi$

Putting the values,

$\Rightarrow \dfrac{5}{2}\pi=3\theta$

$\Rightarrow \theta=\dfrac{5}{2\times 3}\pi$

$\Rightarrow \theta=\dfrac{5}{6}\pi=\dfrac{5}{6}\times 180^{\circ}=150^{\circ}$

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3 years ago

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What is the area of this rectangle?

I am Lyosha [343]

The area of the rectangle would be 44 this is because area is Length x Width so the very top of the rectangle is 4 cm and going up on the side is 11 so 4x11 is 44 which is ur area.

Hope this helps!

3 0

3 years ago

Doesn't anyone know the answer

Nadusha1986 [10]

Answer:

d.66

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3 years ago

A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 0.499, \sigma = 0.002$

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.504 - 0.494}{0.002}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.496 - 0.494}{0.002}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0

3 years ago

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

scoundrel [369]

Answer: $\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

$23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes$

You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and $\frac{70}{3}$ minutes:

$30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

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3 years ago

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