Write and evaluate the expression. Then, complete the statement.
2 answers:
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The amount invested by Mr.Smith in 5% is $240 .
<u>Step-by-step explanation:</u>
We have , Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720 . Let us suppose that Mr.Smith invest $x so :
Amount of money invested in 5% is . And, amount of money invested in 8% is twice that of 5% i.e.
.
Now, total investment is $720 so,
+(
) = $720
⇒
⇒
⇒
⇒
The amount invested by Mr.Smith in 5% is i.e.
. ∴ The amount invested by Mr.Smith in 5% is $240 .
Answer:
We need an SRS of scores of at least 153.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
How large an SRS of scores must you choose?
This is at least n, in which n is found when . So
Rounding to the next whole number, 153
We need an SRS of scores of at least 153.