A value of two standard deviation from the mean is more likely to occur than a value three standard deviations from the mean

Mathematics

2 answers:

ivolga24 [154]3 years ago

8 0

Answer:

true

Step-by-step explanation:

Anvisha [2.4K]3 years ago

3 0

This is true. The closer to the mean that a value is, the more likely it is to occur.

In this case, two and three standard deviations away are both fairly unlikely, however, two is still more likely to occur than three.

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What is the total surface area of the rectangular prism?

bogdanovich [222]

Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 = 102.4 cm^2

which agrees with the second answer option provided.

3 0

3 years ago

The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 7 feet, represented by a ve

xenn [34]

First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.

If we need the vertex to be at $x=4$ , the equation will contain a $(x-4)^2$ term.

If we start with $y=-(x-4)^2$ we have a parabola, concave down, with vertex at $x=4$ and a maximum of 0.

So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be $(4, 7)$

We have

$y = -(x-4)+7$

Now we only have to fix the fact that this parabola doesn't land at $(8,0)$ , because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want