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Advocard [28]
3 years ago
6

The mean of four numbers is 7. Three of the numbers are 5,7 and 7. What is the fourth number?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer:

9 is the fourth number.

Step-by-step explanation:

9 is the fourth number because 7(mean) x 4(amount of numbers) = 28 and 7 plus 7 plus 5 plus 9 equals 28 so when you divide you get 7.

Marrrta [24]3 years ago
5 0

Answer:

fourth number is 9

Step-by-step explanation:

let 'x' equal the fourth number

(5+7+7+x)/4 = 7

cross-multiply to get:

19 + x = 28

x = 9

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Select the correct answer from each drop-down menu.
Sergeu [11.5K]

Using translation concepts, it is found that the transformations to create function d are given as follows:

  • Horizontal shift right 1 unit.
  • Vertical shift up 5 units.
  • Frequency multiplied by 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

  • 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
  • 5 was added in the range, hence there was a vertical shift up 5 units.
  • There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

5 0
2 years ago
According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean \mu and standard deviation \sigma, then the distribution of sample mean will be normally distributed with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

b) mean and the standard for a random sample of size 49

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4

c) mean and the standard for a random sample of size 196

\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0
3 years ago
Help me please!!!!!!!!!
Delvig [45]
The answer is 200\pi
3 0
3 years ago
Find the solution of y = 6x + 1 for x = 5
snow_lady [41]

Answer:

y equals to 31

Step-by-step explanation:

6(5) = 30

30+1 = 31

3 0
2 years ago
Which data set could be represented by the box plot shown below?
ollegr [7]
It he answer is B ......
7 0
3 years ago
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