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zhannawk [14.2K]
2 years ago
7

A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers and 1

Mathematics
2 answers:
Jobisdone [24]2 years ago
7 0
I’m confused????????
Crazy boy [7]2 years ago
6 0

Answer:

what's the question?

Step-by-step explanation:

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Which statement is NOT true about the slope of a straight-line graph?
soldi70 [24.7K]

Answer:

Option D. Slope is 1 if the line is vertical

Step-by-step explanation:

we have

Part A)  Slope is a measure of the steepness of the line

The statement is true

Because, the steepness of a line is measured by the absolute value of the slope.

Part B) Slope is the ratio of vertical change to horizontal change

The statement is true

Because the formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

so

Is the ratio of vertical change to horizontal change

Part C) Slope is zero if the line is horizontal

The statement is true

Because If the line is horizontal, the y-coordinate of two points is the same

therefore

The vertical change is equal to zero

Part D) Slope is 1 if the line is vertical

The statement is Not true

Because, if the line is vertical the slope is undefined

5 0
3 years ago
Read 2 more answers
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

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:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
Identify the slope and the y-intercept in the equation y = -3/4x + 3. Please make sure to say which is the slope and which is th
Liula [17]

Answer:

the y -intercpt is the 3

the slope is -3/4

Step-by-step explanation:

this is because the 3 is the starting point on the y-axis and the slope is -3/4 because you are going down 3 to the right 4 ---hope this helps

5 0
3 years ago
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In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one
Ymorist [56]
Let's see all the steps: 
1)  operation  : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.


So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!
5 0
3 years ago
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What is the quotient of 8,592 ÷ 24
brilliants [131]

Answer:

358

Step-by-step explanation:

8 0
3 years ago
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