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Molodets [167]
2 years ago
6

Quiz 4: Solving Inequalities

Mathematics
1 answer:
san4es73 [151]2 years ago
3 0

Answer:

15x+60\leq 100

Step-by-step explanation:

Let

x -----> the number of hours that the painter works

we know that

The inequality that represented this situation is equal to

15x+60\leq 100

solve for x

Subtract 60 both sides

15x\leq 100-60

15x\leq 40

Divide by 15 both sides

x\leq 40/15

x\leq 2.67\ hours

The maximum number of hours is 2

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An art history professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below
madam [21]

Answer:

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.

This means that \mu = 79.7, \sigma = 8.4

B: Scores below the top 13% and above the bottom 56%

So between the 56th percentile and the 100 - 13 = 87th percentile.

56th percentile:

X when Z has a p-value of 0.56, so X when Z = 0.15. Then

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

0.15 = \frac{X - 79.7}{8.4}

X - 79.7 = 0.15*8.4

X = 81

87th percentile:

X when Z has a p-value of 0.87, so X when Z = 1.13.

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

1.13 = \frac{X - 79.7}{8.4}

X - 79.7 = 1.13*8.4

X = 89

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

4 0
2 years ago
In a marble collection, 1/8 of the marbles are blue. Of the blue marbles, 1/2 have sparkles. What fraction of the marbles in the
Delvig [45]

Answer:

1/16

Step-by-step explanation:

if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half

so 1/2 of 1/8 is 1/16

8 0
2 years ago
Gemma's mean speed on her drive home from Chicago is 59mph. If the total trip is 295 miles, how long should she expect the drive
SCORPION-xisa [38]

Answer:

5 hours

Step-by-step explanation:

If shes going 59mph and the total trip is 295mph

then you would divid 295 by 59 and get 5

5 0
2 years ago
Help me pleaseeeeeeeeeeeeeeeeeeeee
NARA [144]
14.

1. 7 × 7 = 49
2. 7 × 3 × 3 = 63
3. 7 × 3 × 4 = 84
4. 7 + 3 + 4 = 14

Hope that helps! Feel free to ask for a more explanation, if needed.
8 0
3 years ago
Please help me 5-7g-9=
timofeeve [1]

Answer:

4 - 7g

Step-by-step explanation:

Combine like terms:  5 - 9 - 7g = -4 - 7g (answer)

6 0
2 years ago
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