Answer:
1
Step-by-step explanation:
We know that the mathematics test scores are normally distributed with mean μ=82 and standard deviation σ=8.
We know that the central limit theorem states that a selected sample from a normal distribution with mean μ and standard deviation σ is also normally distributed with mean μxbar and standard deviation σxbar.
Also , the sample mean of sampling distribution is μxbar=μ, where μ is population mean.
The standard deviation of sampling distribution is σxbar=σ/√n where n is the sample size and σ is population standard deviation.
The given sample size=n=64.
So, the required standard deviation of sampling distribution is
σxbar=σ/√n
σxbar=8/√64
σxbar=8/8
σxbar=1.
The common difference is -5
right now, a₁₂ = 22
to get a₁, subtract 5 each time you subtract one from the subscript
so
a₁₁ = 17
a₁₀ = 12
a₉ = 7
a₈ = 2
a₇ = -3
a₆ = -8
a₅ = -13
a₄ = -18
a₃ = -23
a₂ = - 28
a₁ = -33
a₁ = -33
hope this helps
First multiply 2/3*9x=6x
then multiply 2/3*-6=-4
this being 6x-4.
then multiply 4*x=4x
then multiply 4*2=8
this being 4x+8.
so we have 6x-4=4x+8+2
we add the 8+2=10
6x-4=4x+10
now we subtract the x to both sides (choose 4x)
2x-4=10
now we add 4 to both sides.
2x=14
we divide 2 to both sides.
we get x=7
final answer:x=7
1.8, 2.85, 3.90, 4.95, 6
To find the rule for this sequence, you find the difference between 2 numbers ..
1.8 + n = 2.85
n = 1.05
2.85 + n = 3.90
n = 1.05
3.90 + n = 4.95
n = 1.05
4.95 + n = 6
n = 1.05
As you can see, each have a difference of +1.05
The rule for this sequence is adding 1.05
