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1 year ago

Bro i will trade my rare brainly username " harmless ' for the username " Brainly " whoever has it let me know wsp

Mathematics

1 answer:

Vera_Pavlovna [14]1 year ago

3 0

omg theres a chipmunk who entered our school gym and its running around

everywhere its currently under the bleachers

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The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of

yuradex [85]

A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

u(m) = u/sqrt n

Substituting the known values,

u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,

z-score = (data point - mean) / standard deviation

z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.

The difference between the two z-scores is 0.762.

The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters

z-score = (172 - 174.5) / 1.38

z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6

8 0

2 years ago

What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?

IrinaK [193]

Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)

then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)

Therefore,

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)

8 0

2 years ago

Read 2 more answers

Marisol wants to determine how many students plan to attend the girls varsity basketball game . Find her mistake and correct it

Contact [7]

Boys bvarsity is wrong and so is Bastet

7 0

2 years ago

What is the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008 . What might have been the

Degger [83]

Answer:

618,000 might be the exact population of Vermont in 2008

Step-by-step explanation:

* Lets explain the rule of rounding to the nearest ten thousands

- To round numbers to the nearest ten thousand, make the

numbers whose last four digits are 0001 through 4999 into the

next lower number that ends in 0000

- Ex: 83,525 rounded to the nearest ten thousand would be

80,000.

- Numbers that have the last four digits of 5000 or more should

be rounded up to the next even ten thousand

- Ex: The number 58,988 rounded to the nearest ten thousand

would be 60,000

* Lets do that in the problem

∵ The number is 620,000 after rounded to the nearest

ten thousands

∴ We can chose any number whose last four digits are 00001

through 4999 as 624,000 OR 5000 or more as 618,000

∴ 618,000 might be the exact population of Vermont in 2008

6 0

2 years ago

The square of a positive number is 24 more than 5 times a number. What is the value of the number?

satela [25.4K]

First, let's construct an algebraic equation to formally find the answer:

Let x represent (the value of) the unknown number.

x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.

Now we can solve for x (the number):

x² = 5x + 24
x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
x = -3, 8

Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!

4 0

2 years ago

Read 2 more answers