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Fudgin [204]
3 years ago
15

The mean of 40 observations was 160. It was detected on rechecking that the salue of

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer: The correct mean is 161.

Step-by-step explanation: The question states that we have computed the mean of 40 observations and the mean is 160. This means the set of data altogether is 40 numbers. In order to arrive at the mean, we must have added all 40 observed data to get the summation of observed data and divided this by 40. In other words, we must have done something like,

Mean = {Summation} x/{x}

Where x = 40 and the mean computed is 160.

Therefore,

160 = {summation}x/40

By cross multiplication we now have

160 (40) = {summation} x

6400 = {summation}x.

However, we must not forget that one of the values in the observed data was wrongly copied as 125, (instead of 165). What this means is that the summation of all observed data is having a shortage of 40 (that is, 165 - 125). If we now insert the correct figure of 165 in place of the wrong one which is 125, our summation of observed data would now become 6440 (the shortage of 40 would have been added back to 6400).

What we now have is

Mean = {summation}x/x

Mean = 6440/40

Mean = 161

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3 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8.
artcher [175]

So many answers possible.

Let us take, by numbers they mean integers.

Now, the product of 379 and 8 is 3032.

Clearly, on the number line, this number is between the numbers 3031 and 3033.

Hence, the exact product of 379 and 8 is between the pair of numbers 3031 and 3033.

Hope this makes sense.

6 0
4 years ago
Read 2 more answers
A parallelogram has an area of 160 square meters and a height of 4 meters. What is the length of the base of the parallelogram?
Simora [160]

The length of the base is 40 meters

<h3>How to determine the length of the base?</h3>

We have:

Area= 160 square meters

Height = 4 meters

The area is calculated using:

Area = Base * Height

So, we have:

160 = Base * 4

Divide both sides by 4

Base = 40

Hence, the length of the base is 40 meters

Read more about areas at:

brainly.com/question/24487155

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3 0
2 years ago
Suppose the interval ​[negative 2​,0​] is partitioned into nequals4 subintervals. What is the subinterval length Upper Delta x​?
Maslowich

Answer:

We find the length of each subinterval dividing the distance between the endpoints of the interval by the quantity of subintervals that we want.

Then

Δx= \frac{0-(-2)}{4}=\frac{2}{4}=\frac{1}{2}

Now, each x_i is found by adding Δx iteratively from the left end of the interval.

So

x_0=-2\\x_1=-2+\frac{1}{2}=\frac{-3}{2}\\x_2=\frac{-3}{2}+\frac{1}{2}=-1\\x_3=-1+\frac{1}{2}=-\frac{1}{2}\\x_4=\frac{-1}{2}+\frac{1}{2}=0

Each subinterval is

s_1=[-2,-3/2]\\s_2=[-3/2,-1]\\s_3=[-1,-1/2]\\s_4=[-1/2,0]

The midpoints of the subintervals are

m_1=\frac{-2-3/2}{2}=\frac{-7/2}{2}=\frac{-7}{4}\\m_2=\frac{-1-3/2}{2}=\frac{-5/2}{2}=\frac{-5}{4}\\m_3=\frac{-1/2-1}{2}=\frac{-3/2}{2}=\frac{-3}{4}\\m_4=\frac{0-1/2}{2}=\frac{-1}{4}

The points used for the

1. left Riemann sums are the left endpoints of the subintervals, that is

x_0=-2, x_1=\frac{-3}{2}, x_2=-1, x_3= \frac{-1}{2}

2. right Riemann sums are the right endpoints of the subinterval,

x_1=-\frac{3}{2}, x_2=-1, x_3=-\frac{1}{2}, x_4=0

3. midpoint Riemann sums are the midpoints of each subinterval

m_1,m_2,m_3,m_4.

5 0
4 years ago
PLZZ HELP FAST
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Answer:

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