1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
True [87]
3 years ago
9

2x + 5 =12 , greatl appreciated if someone can do this ​

Mathematics
1 answer:
netineya [11]3 years ago
6 0
2x+5=12
Subtract 5 from both sides
=2x=7
Divide by 2
X=2/7
You might be interested in
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years
Juliette [100K]

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that n = 50

Mean age and standard deviation are 75 and 6 years

This means that \mu = 75, \sigma = 6

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is s = \frac{6}{\sqrt{50}} = 0.8485

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{73 - 75}{0.8485}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

5 0
2 years ago
Help me please please
harina [27]

Answer:

a)

  • EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}

b)

  • EG² = GH*GF
  • EG² = 4*12
  • EG² = 48
  • EG = √48 = 4√3
3 0
3 years ago
HELP AS SOON AS POSSIBLE PLEASE : What is the distance between 7 and -1?
Alekssandra [29.7K]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
If f(x) = 2x + 4, what is the value of the function
love history [14]

Answer:

14

Step-by-step explanation:

Plug the 5 into the equation

2(5) + 4 = 14

6 0
3 years ago
Read 2 more answers
"The product of four and a<br> number is more than ten."<br> ( write as an inequality thx)
lubasha [3.4K]

Answer:

4x > 10

Step-by-step explanation:

4x > 10

6 0
3 years ago
Other questions:
  • Hexagon FUTBOL has coordinates f(3,6) u(5,2) t(2,-3) b(-3.-2) o(-5,1) and l(-2,5) and is dilated by a scale factor of 5 centered
    8·1 answer
  • A tire rotates
    11·1 answer
  • How do i graph this
    12·1 answer
  • Solve the following for y. <br> x - 2y = -23
    5·1 answer
  • HELP!!! ASAP!!!! IMAGES ATTACHED!! MATH SUCKS!!!!
    6·1 answer
  • A) Simplify e® * e^<br> b) Simplify (4ab)<br> c) Simplify<br> 36n'p<br> 9np
    13·2 answers
  • 4. evaluate the following,
    13·1 answer
  • Whcich expression are equivialant to the one below 3^4*3^x
    11·1 answer
  • There are 10 animals in the field. some are buffalo and some are ducks there are 34 legs in all. how many of each animal are in
    5·1 answer
  • Please Answer This Fast
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!