Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
Answer:
5 ; 0.728 ; 0.00002
Step-by-step explanation:
According to the Central limit theorem, for a normal distribution, the population mean equals the sample mean., Hence the population mean, μ = sample mean = 5
The standard deviation of sampling distribution :
Standard deviation / sqrt(n)
σ / sqrt(n)
σ = 3 ; n = 17
3 / sqrt(17)
3 / 4.1231056
= 0.7276
= 0.728
3.)
P(x < 2) :
Using :
Z = (x - mean) ÷ s/sqrt(n)
P(x < 2) = (2 - 5) ÷ 3/sqrt(17)
P(x < 2) = -3 / 0.7276068
P(x < 2) = - 4.1231060
Z < - 4.123 = 0.00002 (Z probability calculator).
If you want to do it the easier way then multiply your 8 to get 56. You multiply it by 7, so do the same with the 5. Which means you get 35\56. So Darlene read 35 pages.
We are given an item cost before tax = $3.
Sales tax on item = 4.4% of the actual cost.
We are given actual cost = $3.
Therefore, 4.4 % of 3 = 0.044 × 3 = $0.132.
We need to round it to the nearest hundredth or cent that is upto two decimal places.
0.132 could be round to 0.13.
<h3>Therefore, $0.13 tax would you pay on that item on the given item cost $3.</h3>
H, r
Surface Area = 2πrh
If the h, is now h/3 and the r, now r/3
Surface Area = <span>2π*r/3*h/3
= </span><span>2πrh/9
</span><span>
The modified surface area is reduced by 9 times.
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