Moria multiplies 1.8 by 2.4 and writes the product as 0.432. Tom says that her product is incorrect. How could Tom know this wit
1 answer:
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<u>Answer:</u>
- x = 5
- y = 3
<u>Solution:</u>
- => x + 4y = 17
-x - 6y = -23
- => -2y = -6
- => y = 3
<u>Now, let's substitute the value of y into the first equation.</u>
- x + 4y = 17
- => x + 4(3) = 17
- => x + 12 = 17
- => x = 5
<u>Let's check our answer to make sure it is correct.</u>
<u>Check:</u>
- -x - 6y = -23
- => -(5) - 6(3) = -23
- => -5 - 18 = -23
- => -23 = -23
Hence, this is proven correct.
Hoped this helped.
Answer:
a)
b) Lower endpoint: 0.422cc/m³
Upper endpoint: 0.452 cc/m³
Step-by-step explanation:
Population is approximately normal, so we can find the normal confidence interval.
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
. This is the critical value, the answer for a).
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.437 - 0.015 = 0.422cc/m³.
The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.
b)
Lower endpoint: 0.422cc/m³
Upper endpoint: 0.452 cc/m³