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GarryVolchara [31]
3 years ago
11

If each data is increased by a constant K then find it's mean ?? answer fast pleaseeeeeeeeeee​

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

Answer:

The mean is also increased by the constant k.

Step-by-step explanation:

Suppose that we have the set of N elements

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now if we increase each element of our set by a constant K, then our new set is:

{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}

The mean of this set is:

M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N

M' = (x₁ + x₂ + ... + xₙ + N*k)/N

We can rewrite this as:

M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N

and  (x₁ + x₂ + ... + xₙ)/N was the original mean, then:

M' = M + (k*N)/N

M' = M + k

Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.

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A laptop has a listed price of $537.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales t
nexus9112 [7]

Answer:

$578.30

Step-by-step explanation:

537.95(.075)= 40.35

$40.35 + $537.95 = $578.30

6 0
3 years ago
In a group of 25 girls, 8 ran for the cross country team, 13 are on the math league team, and 6 are on both teams. How many of t
Anna11 [10]

Answer:

10 girls are not on either team

Step-by-step explanation:

first subtract 6 from 8 to get 2 (since it's easier) because those 6 girls are on the math league team as well

next add 2 and 13 to get 15

last subtract 15 from 25 to get 10

8 0
3 years ago
7.
IRINA_888 [86]

Answer: C) 14

Step-by-step explanation: 65 - 9 = 56. You would then do 56/4 and you get 14.

Hope this helped

5 0
3 years ago
Read 2 more answers
a rectangle has sides that are 23 m 19 m and 19 m what is a rectangles lengthA. 19 mB. 23 mC. 84 mD. 46 mthis is what it said Th
sdas [7]

Given Data:

The sides of the rectangle are 23 m, 23 m ,19 m and 19 m.

The length of the rectangle is 23 m.

Thus, option (B) is the correct option.

4 0
1 year ago
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
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