Answer: 1.9166
Step-by-step explanation:
Let
be the population mean.
By considering the given description, we have
![\mu=75](https://tex.z-dn.net/?f=%5Cmu%3D75)
n=20
![\overline{x}=78](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D78)
s=7
Since, the population standard deviation is unknown , so we use t-test.
Test statistic : ![t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D)
i.e . ![t=\dfrac{78-75}{\dfrac{7}{\sqrt{20}}}=1.916629695](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B78-75%7D%7B%5Cdfrac%7B7%7D%7B%5Csqrt%7B20%7D%7D%7D%3D1.916629695)
[Rounded to four decimal places.]
Hence, the value of the t-test statistic : 1.9166
Answer:
6%
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
30 = 500r
r = 3/50 or 6/100 which is 6%
Explanation:
Addition of fractions can be accomplished using the formula ...
a/b + c/d = (ad +bc)/(bd)
Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.
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13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66
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14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40
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15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60
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Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...
(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.
You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)
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16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7
Answer:
I'm pretty sure the answer is 8.96
Step-by-step explanation:
1.28×7=8.96