Which two statements are true?
1 answer:
When we multiply a number with a number less than 1 then the result will always smaller than the original number.
For example: 4* 0.5 =2
Here 0.5 is less than 1. So, when we will multiply 0.5 with 4 then we got the result 2 which is smaller than 4.
If denominator is bigger than the numerator then that number will be less than 1.
So, 2/7 is less than 1 because 7 is more than 2.
Similarly 3/8 is also less than 1.
So, Choice B is not correct as it says 2/7>1.
Let's check the other choices now.
A. 2/7 times 3/8 < 3/8 because 2/7 < 1
Multiply the numerators and denominators.
0.1<0.375
Above inequality satisfy.
So, A is the correct choice.
C. 2/7 times 3/8< 2/7 because 3/8 < 1
0.1<0.286
This inequality also satisfy. So, C is also correct.
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The probability will be the area under the normal distribution 
from 24 to 32.
We normalize these so we can use the standard normal distribution
Typically we'd just use a computer to tell us the integral of the standard normal from -1 to 5/3. In the old days we'd use the z table. It tells us the normal integral from 0 to positive z.
We know the integral of the Gaussian from -1 to 1 standard deviation is 68%; from the z table we see the probability from 0 to 1 is half that, <span>0.34134. That will also be the integral from -1 to 0.
The z table says the integral from 0 to 5/3, 1.67, is </span><span>0.45254.
So our total probability, integral from -1 to 5/3, is
</span>
That's really from z=-1 to z=+1.67 so likely a bit off in the last couple digits.
We normalize these so we can use the standard normal distribution
Typically we'd just use a computer to tell us the integral of the standard normal from -1 to 5/3. In the old days we'd use the z table. It tells us the normal integral from 0 to positive z.
We know the integral of the Gaussian from -1 to 1 standard deviation is 68%; from the z table we see the probability from 0 to 1 is half that, <span>0.34134. That will also be the integral from -1 to 0.
The z table says the integral from 0 to 5/3, 1.67, is </span><span>0.45254.
So our total probability, integral from -1 to 5/3, is
</span>
That's really from z=-1 to z=+1.67 so likely a bit off in the last couple digits.