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ArbitrLikvidat [17]
4 years ago
9

A random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6. what are the expected value

and the standard deviation for the sampling distribution of the sample mean?
Mathematics
1 answer:
vlada-n [284]4 years ago
7 0
Dont know the answer but you need to take 36 and times it by 17 anddivide by 6

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What are the potential solutions of log4x+log4(x+6)=2
mash [69]

we are given with the logarithmic equation

log4x+log4(x+6)=2

Using logarithmic Property

Loga+Logb=Logab

we can write

Log[4x*4(x+6)]=2\\ \\ Log[16(x^2+6x)]=2\\ \\\\

Take anti-logarithm we get

16(x^2+6x)=10^2\\ \\ 16x^2+96x=100\\ \\ 4x^2+24x=25\\ \\ 4x^2+24x-25=0\\ \\

Now using Quadratic formula , we can find x as below:

x=\frac{-24 \pm\sqrt{24^2-4*4*(-25)}}{2*(4)}\\ \\ x=  \frac{1}{8}(-24\pm4\sqrt{61})

As we know the logarithm is defined for the negative values.

Hence the possible solution is

x=  \frac{1}{8}(-24+4\sqrt{61})\\ \\ x=0.905\\

3 0
3 years ago
Grayson lives 4/5 miles from the park he already walked 3/4 of the way to the park how far has Grayson walked
defon

Algebra

Grayson has already walked 0.6 miles

Step-by-step explanation:

Grayson lives \frac{4}{5} \\ miles from park

So the total distance is \frac{4}{5} \\ miles

He has already waked \frac{3}{4\\} of the way to the park

If the total distance between Grayson's house and Park is d_{total}

and the distance he has already walked is d_{walked}

Then d_{walked} = \frac{3}{4} × d_{total}

⇒ d_{walked} = \frac{3}{4}\\ × \frac{4}{5} \\

⇒ d_{walked}\\ = \frac{3}{5} miles

⇒ d_{walked}\\ = 0.6 miles

Hence, Grayson has already walked 0.6 miles

7 0
3 years ago
Solve for x and y:<br> x = 5 – 2y<br> 4y = 15 - 2x
Vika [28.1K]

Answer:

No solution.

Step-by-step explanation:

So we have the system of equations:

x=5-2y\\4y=15-2x

We can solve this by substitution. Substitute the first equation into the second. Thus:

4y=15-2(5-2y)

Distribute the right:

4y=15-10+4y

Subtract 4y from both sides:

0=15-10

Subtract the right:

0=5

As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).

And we're done!

7 0
3 years ago
What are all the real zeros of y=(x-12)^3-10
Daniel [21]
Domain of (x-12)3-10
Range of (x-12)3-10
Parity of (x-12)3-10
Axis Interception point's of (x-12)3-10
x intercepts (40/3) Y Intercept (0,-46)
Inverse of (x -12)3-10: [x+46/3]
4 0
4 years ago
Read 2 more answers
7.04 billion in scientific notation
telo118 [61]
7.04 billion = 7.04 x 10^9
7 0
3 years ago
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