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2 years ago

Which equations are correct? select each correct answer. 8x3(3x2)=24x6 4x3(6x2)=24x6 6b3(−2b3)=−12b6 3a3(−3a4)=−9a7?

2 answers:

7 0

8x3(3x2)=24x6 = True
4x3(6x2)=24x6 = True
6b^3(−2b3)=−12b^6 = Ture
3a^3(−3a^4)=−9a^7 = True

They are all correct

Lelechka [254]2 years ago

4 0

I just took the test all of the equations are true.

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Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5

WINSTONCH [101]

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

8 0

2 years ago

Find the slope of the line through the points (6,16) and (−6,4)

MakcuM [25]

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

$m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1$

Therefore, the slope of the line is 1. In case if you want to know the equation.

$y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\$

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

$y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\$

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

3 0

3 years ago

Sally works 40 hours a week and makes $20 an hour, but her kids are in child care each day and the day care center charges her $

Maslowich

Answer:

$11.25

Step-by-step explanation:

Multiply the number of hours she works by how much she gets paid per hour.

800

Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)

350

Subtract the 350 from the 800

450

Divide the 450 by the number of hours worked per week

450/40

Answer: 11.25

So Sally actually makes 11.25 per hour.

5 0

2 years ago

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:

$\mu = 20, \sigma = 2$