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azamat
4 years ago
13

Explain how to use the combine place values strategy to find 223 - 119.

Mathematics
1 answer:
tiny-mole [99]4 years ago
7 0
<span>Explain how to use the combine place values strategy to find 223 - 119.</span>
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A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, h
vova2212 [387]

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that \sigma = 3.6

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

M = z\frac{\sigma}{\sqrt{n}}

5 = 2.054\frac{3.6}{\sqrt{n}}

5\sqrt{n} = 2.054*3.6

\sqrt{n} = \frac{2.054*3.6}{5}

(\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2

n = 2.19

Rounding up:

A sample size of 3 is required.

4 0
3 years ago
a rectangle is 5cm longer than its breadth, its perimeter is 26 find the length and breadth of the rectangle​
xxTIMURxx [149]
If the perimeter is 26 and the length of one side of the rectangle is 5cm longer than its breadth,

26 - 5 - 5 = 16
16 / 4 = 4 ( rectangle has 4 sides. )

the breadth is 4cm.
so the length must be 4+5=9cm.
5 0
3 years ago
How do u work out what fraction is equal to 1/8
I am Lyosha [343]

If the number on the bottom of the fraction is 8 times the size
of the number on top, then the fraction is equal to  1/8 .

Examples:

100 / 800

20 / 160

8 / 64

7 0
3 years ago
What is the Absolute value of |-9-8|?
sasho [114]

Answer:

17

Step-by-step explanation:

|-9-8|

Solve what is inside the absolute value

|-17|

Then take the non negative result

17

3 0
3 years ago
Read 2 more answers
The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution
timama [110]

Answer: D. 0.1217

Step-by-step explanation:

Given : The probability that a car will have a flat tire while driving through a certain tunnel :p=0.00005.

n= 14000

Then, the mean number of cars will have a flat tire while driving through a certain tunnel = np

=14000\times0.00005=0.7

Poisson Distribution Formula : P(x)=\dfrac{e^{-\lambda} \lambda^x}{x!}

For x= 2

P(2)=\dfrac{e^{-0.7} (0.7)^2}{2!}=0.121663399429\approx0.1217

Hence, the required probability = 0.1217

5 0
4 years ago
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