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Tpy6a [65]
3 years ago
9

Find the volume of each figure. Round to the nearest tenth if necessary.​

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

396

Step-by-step explanation:

the volume of a rectangular is calculated as V=l×w×h

l=11, w=12, h=3

V=11×12×3

V= 396

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the graphy below shows the relationshio between the numbers of calories and the total amount in fat in different types of sandwi
taurus [48]

Answer:

The points have a positive trend and are most likely linear

Answer (C)

Step-by-step explanation:

∵ The graph represents the relation between the numbers

   of calories and the total amount in fat in different types

   of sandwiches

∵ Both values increase together

∴ Correlation is Positive

∵ If you draw the line best fit to check if it's strong or weak

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3 0
3 years ago
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
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