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Annette [7]
2 years ago
5

Ian made cookies for a bake sale. He made 91 cookies, including 30 cookies in the shape of a dog.

Mathematics
1 answer:
Yuliya22 [10]2 years ago
8 0

Answer:

total sample space is 91

no of cookies in dog shape is 30

therefore

p(d)=30/91

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Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
iogann1982 [59]
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

3 0
3 years ago
What is the Y-intercept of the graph of the linear function? What is the slope?
xeze [42]

Answer:

The Y intercept is -5 and the slope is -5/2

4 0
2 years ago
You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an
Dmitrij [34]
Here, My initial salary = 7.85 

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!
4 0
3 years ago
Michelle owns a hair salon. She has 150 customers per month. On average, the price Michelle
zhannawk [14.2K]
750
because she on average makes 3000 dollars a month, making her monthly profit 750 but if she needs to spend each month a 500 dollar more then she is only making 250 a month multiply 250 by 3 and she made 750
3 0
3 years ago
The mean of a certain set of measurements is 27 with a standard deviation of 14. The distribution of the
Talja [164]

Answer:

Exactly 16%.

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.

The mean of a certain set of measurements is 27 with a standard deviation of 14.

This means that \mu = 27, \sigma = 14

The proportion of measurements that is less  than 13 is

This is the p-value of Z when X = 13, so:

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

Z = \frac{13 - 27}{14}

Z = -1

Z = -1 has a p-value of 0.16, and thus, the probability is: Exactly 16%.

8 0
2 years ago
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