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frutty [35]
2 years ago
15

Congruent figures have the _____ size and the _____ shape.

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
7 0
Congruent figures have the same size and the same shape
kotegsom [21]2 years ago
4 0
Same and same. They're congruent which means they have the same size and the same shape.
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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
What’s the surface area of 5 inches and 7 inches
erik [133]

Answer:

Is the surface a rectangle?? If so, then the surface area would be 35

Step-by-step explanation:

5 * 7 = 35

Hope this helped!!  :)

5 0
3 years ago
Read 2 more answers
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ju
Aleks [24]
To do this we need to find the factors of 60 these are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
There is 1 pair that have a difference of 7 and that is 5 and 12
6 0
3 years ago
ABCD Is a parallelogram if m
Viefleur [7K]

Step-by-step explanation:

ABC+DAB=180

DAB=180-115

DAB= 65

m<3+m<4=65

m<3=65-m<4

You have been given 4 degrees there, but it has not fallen. The answer is either A or B. Subtracting the conditional degree from 65. Find 3.

7 0
3 years ago
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Which is a measure of the efficiency of an investment? return rate return on investment efficiency coefficient
balandron [24]
"return on investment" is the best measure of the efficiency of an investment, but it should be noted that there are other indicators of how well an investment is doing. 
3 0
3 years ago
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