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3 years ago

Find the greatest common factor of the terms in the following expression: 10x + 12xy.

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

The greatest common factor is 2x

2 can go into both 10 and 12

and so can x

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In Mr. Siegel’s class, 15% of the students are in the Scrapbooking Club and 45% are in the Cooking Club. His remaining students

Oksanka [162]

Answer:

Step-by-step explanation:

15% = 15/100= 0.15

45% = 45/100 = o.45

Remaining students: 40% = 40/100 = 0.4%

6 0

2 years ago

The measures of two angles of a triangle are 23 degrees,and 67 degrees.is the triangle acute,right,or obtuse?

Margaret [11]

Trick question — it’s a right triangle. Here’s why:
23 + 67 = 90. All triangles have an interior angle sum of 180. 180 - 90 = 90. 90 degrees is right, and therefore, having a right angle, this is a right triangle.

7 0

2 years ago

What does the magnitude of a vector represent?

nalin [4]

Answer:

A vector's magnitude represents its length, so your answer is C, the length of a vector.

Step-by-step explanation:

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3 years ago

Divide 4^2/4^6

deff fn [24]

Step-by-step explanation:

$= {4}^{2} \div {4}^{6}$

$= {4}^{2 - 6}$

$= {4}^{ - 4}$

Option → C

$\:$

$= {4}^{ - 4}$

$= \frac{1}{ {4}^{4} }$

$= \frac{1}{4 \times 4 \times 4 \times 4}$

$= \frac{1}{256}$

Option → A

6 0

2 years ago

Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o

Nezavi [6.7K]

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by $\mu = 9.4, \sigma = 2$ .

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

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

$0.915 = \frac{X - 9.4}{2}$

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

6 0

1 year ago