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3 years ago

Evaluate the expression

Mathematics

2 answers:

agasfer [191]3 years ago

5 0

Solution :

$\hookrightarrow \: - { \bigg( \dfrac{1}{9} \bigg) }^{3}$

$\hookrightarrow \: - \dfrac{1}{729}$

Brrunno [24]3 years ago

5 0

Answer:

-1/729

Step-by-step explanation:

${- ( \frac{1}{9})}^{3} \\ = - ( \frac{ {1}^{3} }{ {9}^{3}} ) \\ = - ( \frac{1}{729}) \\ = \frac{ - 1}{729}$

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This year the boys’ basketball team won 4 times as many games as it lost. The team played a total of 40 games. How many games di

Salsk061 [2.6K]

Answer:

The team won 32 games.

Step-by-step explanation:

x = games won

y = games lost

z = total games = 40

x = 4y Won 4 times as many games as it lost

x + y = 40 Games won + games lost = Total games played

4y + y = 40 Sub 4y in for x, as established previously

5y = 40

y = 8

x = 4y

x = 4(8)

x = 32

The team won 32 games.

8 0

3 years ago

If a random sample of size nequals=6 is taken from a population, what is required in order to say that the sampling distributio

goldenfox [79]

Answer:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.

Step-by-step explanation:

For this case we have that the sample size is n =6

The sample man is defined as :

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And we want a normal distribution for the sample mean

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

So for this case we need to satisfy the following condition:

$X_i \sim N(\mu , \sigma), i=1,2,...,n$

Because if we find the parameters we got:

$E(\bar X) =\frac{1}{n} \sum_{i=1}^n E(X_i) = \frac{n\mu}{n}=\mu$

$Var(\bar X)= \frac{1}{n^2} \sum_{i=1}^n Var(X_i) = \frac{n\sigma^2}{n^2}= \frac{\sigma^2}{n}$

And the deviation would be:

$Sd (\bar X) = \frac{\sigma}{\sqrt{n}}$

And we satisfy the condition:

$\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})$

3 0

2 years ago

45 + 30 = 100 - w Answer correctly luvs

andrezito [222]

Answer:

the answer is 25

Step-by-step explanation:

45+30=100-w

then your going to subtract 45 on both sides. So 100-45 is 55.

so now your equation looks like this

30 = 55 - w

subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25

i hope thus helps

7 0

2 years ago

Which expression represents 12 times a number, n, minus 6?

Ulleksa [173]

Answer:

A. 12n - 6

Step-by-step explanation:

12 times a number which is n so

12n then minus 6 ,

12n-6

hope this helps

6 0

2 years ago

Read 2 more answers

If x=-2 substitute the value of x into the expression and simplify

uranmaximum [27]

Answer:

-17

Step-by-step explanation:

the expression is 6x-5

Substituting x=-2

6(-2)-5

(-12)-5=-17

7 0

3 years ago