Answer:
difference between 3/8 and 1/2 is 1/8
difference between 3/4 and 1/3 is
5/12 i believe
Step-by-step explanation:
just change to common denominator and find the difference
Answer:
ATM=NOP
Step-by-step explanation:
we know that NP=TM
we know that OP=AM
we know that angle NOP= angle TAM
using side angle side theorem (SAS) we can determine congruency
Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

We can now solve for r algebraically, first by multiplying both sides by 12:

And then subtracting 1116.5 from both sides:

A: Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample a random sample? Explain your reasoning.
Ans: No, because he only chose the seventh graders which is invalid since he wants to have to use the mean height which involves the 6th, 7th and 8th graders.
B: Mr. Moore decides to use a random number generator to select 20 students from the school. Suppose that when choosing 20 students using the random generator on the graphing calculator, Mr. Moore’s sample is all eighth graders. Does that mean the sample is not a random sample? Explain your reasoning.
Ans: No, it is still a random sample. Since he is using a random generator, there is a possibility that the random generator would pick all students from the 8th grade. Unlike the first one, the random generator is not biased towards any grade, it is just a coincidence.
Lowest wind chill temperature on Monday was 1/4(-36) = -9 F
The lakes initial level with respect of normal is -8 inches
New level after decreases = -8 - 1 1/4 - 2 3/8 = -11 5/8 inches.