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ale4655 [162]
3 years ago
7

The expression 9+21 factored using GCF is?

Mathematics
2 answers:
Blizzard [7]3 years ago
8 0
Rewrite and factor 9 and 21;

3•3+3•7= 3(3+7)

GCF for 9 and 21 is 3
harkovskaia [24]3 years ago
8 0

GCF is 3 because 3 times 3 is 9 and 3 times 7 is 21.

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4 gallons, 3 quarts are equal to how many pints
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Answer:

14 pints

Step-by-step explanation:

1 gallon = 8 pints

3 quarts= 6 pints

8+6=14

3 0
3 years ago
Simplify x + (7+14x)​
Brilliant_brown [7]

Answer:

15x + 7

Step-by-step explanation:

x + (7 + 14x)

x + 7 + 14x

15x + 7

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Sonny plotted the point (1,6) and used the slope -2 to find another point on the line. Which point could be the one that Sonny f
Dmitrij [34]

Answer:

2,4

Step-by-step explanation:

I could be wrong but the equation would be 6-2 and 1+1

7 0
3 years ago
Read 2 more answers
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