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Paladinen [302]
2 years ago
15

What is the rate of change of the function?

Mathematics
2 answers:
scoundrel [369]2 years ago
7 0

Answer:

rate of change = 3

Step-by-step explanation:

to find the rate of change \frac{y1 - y2}{x1 - x2}

(0,-4) (1,-1)

\frac{-4+1}{0-1} = \frac{-3}{-1} = 3

allochka39001 [22]2 years ago
5 0

Answer:

3

Step-by-step explanation:

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

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.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that \mu = 20 + 15 + 30 = 65

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that \sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

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

Z = \frac{60 - 65}{2.6926}

Z = -1.86

Z = -1.86 has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0
2 years ago
Jonathan bought a table and some chairs at a furniture store.
Naily [24]

Answer:

It must be the cost of the one table.

Step-by-step explanation:

It's logic. 25x is the cost of the (unknown) number of chairs.

The total Amount he spent is the cost of the chairs <u>plus</u> what he spent on the table.

4 0
3 years ago
How do I solve 4^-3? ( four to the power of negative three)
Liono4ka [1.6K]
4^-3 

You first need to make the exponent positive. To do this put it in a fraction.

1/4^3

Now solve the exponent. 

4 * 4 * 4 =
   ^
  16*4 = 64 

1/64 is your answer

7 0
3 years ago
How much is 50% of 10 liters of milk
juin [17]

Answer:

5 liters

Step-by-step explanation:

10 x 0.5 = 5

4 0
3 years ago
Twice a number is less than 15 (turn into inequality)
velikii [3]

x \times 2
3 0
3 years ago
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