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timurjin [86]
3 years ago
15

What is a terminating decimal?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3



A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.



All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.
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A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti
Gre4nikov [31]

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The lower bound is the point estimate \pi subtracted by the margin of error.

The upper bound is the point estimate \pi added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

\pi = \frac{0.372 + 0.458}{2} = 0.415

Sample of 400, which means that n = 400

Margin of error is the estimate subtracted by the lower bound. So M = 0.415 - 0.372 = 0.043

We have to find z.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.043 = z\sqrt{\frac{0.415*0.585}{400}}

z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}

z = 1.745

z = 1.745 has a pvalue of 0.96.

This means that:

1 - \frac{\alpha}{2} = 0.96

\frac{\alpha}{2} = 1 - 0.96

\frac{\alpha}{2} = 0.04

\alpha = 0.08

Confidence level:

1 - \alpha = 1 - 0.08 = 0.92

So the correct answer is:

a. .92

7 0
3 years ago
Write the number 33×10^-3 in scientific notation​
cluponka [151]

Answer:

Step-by-step explanation:

33×10^-3 is equivalent to 33/1000, or 0.033.

This, in turn, is equivalent to 3.3×10^(-2) (which is in scientific notation)

4 0
3 years ago
A total star eclipse occurs when the moon passed between the sun and the earth causing the sky to go dark. The length of darknes
skad [1K]
2 minutes and 23 seconds
8 0
3 years ago
Find m Round to the nearest degree.<br> B<br> 7<br> C<br> 13<br> 9<br> A
Shtirlitz [24]

steesdpkfmspdnvhksdvnsdvspkjjhj pumpkingg

6 0
3 years ago
50 points!!! Basic math!
tangare [24]

Formula for the area of the triangle:

1/2 bh

b = base

h = height

#6.

Area = 36 in²

Base = 18 in

36 = 1/2(18)h

36 = 9h

36 ÷ 9 = h

4 = h

height = 4 in

#7.

Area = 2 ft²

Height = 1 ft

2 = 1/2 b (1)

2 = 1/2 b

2 ÷ 1/2 = b

4 = b

Base = 4 ft

#8.

Area = 42 in²

Base = 12 in

42 = 1/2 (12) h

42 = 6h

42 ÷ 6 = h

7 = h

Height = 7 in

Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.

Since you find the area by multiplying things together, for example x · x = x², the exponent is there.

You do not need to worry about this being in the calculation. This will just be in units such as:

cm²

ft²

in²

m²

Just remember to use these exponents in the units for the areas.

7 0
3 years ago
Read 2 more answers
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