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Alchen [17]
2 years ago
8

Jorge owes his father $60. After raking the lawn for the month, he has paid him $12, $8, and $9. How much money does Jorge still

has owes his father?
Mathematics
1 answer:
Marat540 [252]2 years ago
4 0
12 + 8 + 9 = 29

60 - 29= 31

Jorge owes his father $31
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Bogdan [553]

In 4 or more complete sentences, describe the process of protein synthesis and explain how transcription and translation creates protein.

8 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

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

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0
3 years ago
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
exis [7]

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

6 0
2 years ago
AD and ac are opposite rays.<br> True<br> False
Paha777 [63]

Answer:

False

Step-by-step explanation:

For AD and AC to be opposite rays they must be on the same straight line in opposite directions.

6 0
3 years ago
DOUBLE CHECKING: I got X=12, and you have to solve for measure K so I got k=42, is this correct? I’ll provide a picture and my e
iragen [17]

×=12

4×+7+6×+9=118

4×+6×=118*7+9

10×=120

×=120/10

12

3 0
3 years ago
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