Answer:
![\frac{4}7](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D7)
Step-by-step explanation:
Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.
In this case, that would be:
![\frac{\frac{4}{5}}{\frac{7}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4%7D%7B5%7D%7D%7B%5Cfrac%7B7%7D%7B5%7D%7D)
![= \frac{4}{5} \cdot\frac{5}{7}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B4%7D%7B5%7D%20%5Ccdot%5Cfrac%7B5%7D%7B7%7D)
=![\frac{4}7](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D7)
I hope this helped you.
Answer:
a) Sue's interest: £169.61; Bill's interest: £189.91
b) Bill will earn more
Step-by-step explanation:
The future value formula is useful for this. The amount of interest is the future value of the account, less the principal invested.
FV = P(1 +r/n)^(nt)
Here, interest is assumed to be compounded annually, so n = 1.
I = FV -P = P((1 +r)^t -1)
__
a) Sue's interest is ...
I = 2300(1.024^3 -1) = 169.61
Bill's interest is ...
I = 1800(1.034^3 -1) = 189.91
Sue earned £169.61 on her account; Bill earned £189.91 on his.
__
b) Bill already earns more interest. If his interest rate goes higher, he will still earn more interest. Bill will get the most interest after 3 years.
Answer: B) A one sample Z test for a population proportion
Step-by-step explanation: Trust me bro.
Answer:
The 93% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
The mean is ![\= x = 30](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%2030)
The standard deviation is ![\sigma = 12.3](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2012.3)
From the question we are told the confidence level is 93% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as
=>
=>
Generally 93% confidence interval is mathematically represented as
=>
=>
<u>Answer:</u>
65.94 cubic inches
<u>Step-by-step explanation:</u>
We are given that a cone shaped cup has a radius of 3 inches and a height of 7 inches and we are to find the volume of this cone shaped cup.
We know the formula for the volume of a cone:
<em>Volume of a cone =
</em>
So substituting the given values in the above formula to get:
Volume of the cone shaped cup = ![3.14*3^3*\frac{7}{3} =65.94](https://tex.z-dn.net/?f=3.14%2A3%5E3%2A%5Cfrac%7B7%7D%7B3%7D%20%3D65.94)
Therefore, the volume of the cone shaped cup is equal to 65.94 cubic inches.