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monitta
3 years ago
13

After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

Percent \; error = \frac {67 - 70 }{ 70} *100

Percent \; error = \frac {3}{70} *100

Percent \; error =  0.04286 *100

Percent error = 4.29%

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that
tankabanditka [31]

Answer:

1442

Step-by-step explanation:

Given,

Mean is,

\mu = 20.4

Standard deviation,

\sigma = 8.8,

Margin of error(E) = 0.54,

For 98% level of confidence, z_{\frac{\alpha}{2}} = 2.33

Thus, the sample size would be,

n=[\frac{z_{\frac{\alpha}{2}}\times \sigma}{E}]^2

=[\frac{2.33\times 8.8}{0.54}]^2

=1441.74902606

\approx 1442

6 0
3 years ago
Solve. Write answer in simplest form.<br> 7 - 2/5 =
Arlecino [84]

Answer:

6 3/5

Step-by-step explanation:

7 - 2/5 = 6 3/5

Sorry I can’t really explain this. It just comes into my head

3 0
2 years ago
Read 2 more answers
The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c
bija089 [108]

<u>Given</u>:

The volume of a cylinder is 30 \pi cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

<u>Height of the Cone:</u>

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

H=2h

<u>Volume of the cylinder:</u>

The formula to determine the volume of the cylinder is

V=\pi r^2 h

Since, volume of the cylinder is 30 \pi, we get;

30 \pi = \pi r^2 h -------(1)

<u>Volume of the cone:</u>

The formula to determine the volume of the cone is

V=\frac{1}{3} \pi r^2 H

Substituting H=2h, we get;

V=\frac{1}{3} \pi r^2 (2h)

V=\frac{2}{3} \pi r^2 h

Substituting equation (1), we get;

V=\frac{2}{3} (30 \pi)

V=20 \pi

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0
3 years ago
Please state the all definitions
Leno4ka [110]
Negative reciprocal- Negative Reciprocal. Opposite Reciprocal. The result of taking the reciprocal of a number and then changing the sign.
parallel- In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.
4 0
3 years ago
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup,
pshichka [43]

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14

8 0
3 years ago
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