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3 years ago

A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.

1 answer:

7 0

<span>A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.
a. is the sampling distribution of the sample mean with n = 16 and n = 36 normally distributed? yes, both the sample means will have a normal distribution. no, both the sample means will not have a normal distribution. no, only the sample mean with n = 16 will have a normal distribution. no, only the sample mean with n = 36 will have a normal distribution.
b. can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? yes, for both the sample sizes, standard normal distribution could be used. no, for both the sample sizes, standard normal distribution could not be used. no, only for the sample size with n = 16, standard normal distribution could be used. no, only for the sample size with n = 36, standard normal distribution could be used.
c. calculate the probability that the sample mean falls between 66 and 68 for n = 36. (round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)</span>

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Which describes where living and nonliving parts of an environment interact with and rely on each other?

Natali [406]

Answer:

Step-by-step explanation:

Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.

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3 years ago

Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16

Evgen [1.6K]

$\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}$

Use the distributive property to multiply −2 by x+1.

$\large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}$

Combine 7x and −2x to get 5x.

$\large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}$

Combine 5x and −6x to get −x.

$\large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}$

Add 2 to both sides.

$\large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}$

Add 14 and 2 to get 16.

$\large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}$

Multiply both sides by −1.

$\large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

3 0

1 year ago

Read 2 more answers

Find m<br> (look at the picture)

Advocard [28]

Answer:

Step-by-step explanation:

since you are learning about similar triangles... i'd guess that some where of the picture.. there is some words that say, that the two smaller triangles are the same, similar , congruent.. so that we can just add up angles 1 + 2 or

13 + 13 = 26 °

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2 years ago

Pls help me, I really dont understand

Stella [2.4K]

Answer:

-2.5x-.5

$y=\frac{2}{3}x-1$

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

$\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5$

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

$y=\frac{2}{3}x-1$

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

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3 years ago

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

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3 years ago