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Luda [366]
3 years ago
9

Which one of the following solids can produce this two-dimensional shape when sliced vertically?

Mathematics
1 answer:
Contact [7]3 years ago
3 0
A cone could be sliced parallel to one of its faces to get a circle.
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A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou
alexira [117]

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

4 0
3 years ago
Read 2 more answers
Determine -f(a) for f(x) = 2x, and simplify.<br> X-<br> 1
docker41 [41]
-2 divided by x (fraction form)
5 0
3 years ago
Help help help help math
balu736 [363]

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

4 0
2 years ago
Read 2 more answers
Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5
Alecsey [184]

Answer:

A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y) (Eq. 1)

If we know that B(x,y) = (2,8) and B'(x,y) = (2,2), then the location of P is:

P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)

P(x,y) = (1, 4)+(1,1)

P(x,y) = (2, 5)

Which corresponds to option A.

7 0
3 years ago
all people who live in Ohio live in the United States.rewrite the statement as a conditional and write the converse of the condi
BigorU [14]

A conditional statement is written in the if-then form. The hypothesis is the first or "if" part while the conclusion is the "then" or then part. Thus, the conditional statement would be

If a person lives in Ohio, then the person lives in the United states

To form the converse of the conditional statement, the hypothesis and conclusion are interchanged. It becomes

If a person lives in the United states, then they live in Ohio

5 0
11 months ago
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