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mel-nik [20]
3 years ago
10

Find the product (a^2-b)(5a^2+6b)

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

5a^​4​​+a^​2​​b−6b​^2​​

Step-by-step explanation:

1. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

5a^4+6a^2b−5ba^2−6b^2

2. Collect like terms.

5a^4+(6a^2b−5a^2b)−6b^2

3. Simplify.

5a^4+a^2b−6b^2

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Help Asap 20 points!! And Brainlist!!!
Alenkasestr [34]

Answer: 2(5c - 1x)

Step-by-step explanation: It's asking you to take out the greatest common factor (GCF).

5 0
3 years ago
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
A factory purchased a machine for $35,000. The value of the machine depreciates at a rate of 10% each year. Complete the followi
Olegator [25]
Inital value= 35,000
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3 years ago
18<br> What is the value of x?<br> O<br> 3<br> 10<br> 2y + 4<br> 10 + 2x<br> 000
borishaifa [10]

Answer:

10 = 2y + 4

6 = 2y

y = 3

Step-by-step explanation:

18 = 10 + 2x

8 = 2x

x = 4

7 0
3 years ago
Find the mean, median, and mode of the data set.
Paladinen [302]

Answer:

Step-by-step explanation:

Mode. is. 2

Mean. Is 4.2

Median. Is. 4.5

6 0
3 years ago
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