The lines graphed below show the amounts of water in two tanks as they

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer:

Tank B

Step-by-step explanation:

Proportional relationships are relationships between two variables with equivalent ratios. For a proportional relationship, one variable is always a constant value times the other. A line is a proportional relationship if it starts from the origin, but if it does not start from the origin, it is not proportional.

From the two tanks, we can see that tank A have a y intercept whereas tank B starts from the origin. Therefore tank B shows a proportional relationship.

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According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean o

Katarina [22]

Chebyshev’s Theorem establishes that at least 1 - 1/k² of the population lie among k standard deviations from the mean.

This means that for k = 2, 1 - 1/4 = 0.75. In other words, 75% of the total population would be the percentage of healthy adults with body temperatures that are within 2standard deviations of the mean.

The maximum value of that range would be simply μ + 2s, where μ is the mean and s the standard deviation. In the same way, the minimum value would be μ - 2s:

maximum = μ + 2s = 98.16˚F + 2*0.56˚F = 99.28˚F

minimum = μ - 2s = 98.16˚F - 2*0.56˚F = 97.04˚F

In summary, at least 75% of the amount of healthy adults have a body temperature within 2 standard deviations of 98.16˚F, that is to say, a body temperature between 97.04˚F and 99.28˚F.

5 0

3 years ago

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AlekseyPX

Answer:

D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is $A=\pi r^{2}$ . So we fill in this equation with the information we already know:

$A=\pi 16^{2}$

$A=3.14*16^{2}$ Simplify the exponents

$A=3.14*256$ Multiply

$A=803.84$

So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple $32*32$ which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.