Answer:
g
Step-by-step explanation:
Let's add up the given scores to get: 97+38+88+75+83 = 381. Then we divide by 5 since there are five scores here. The mean we get is 381/5 = 76.2
So that explains the "76.2" mentioned.
Now we'll replace the "38" with "58" and repeat the same steps as above.
Add: 97+58+88+75+83 = 401
Divide by five: 401/5 = 80.2
The mean is now 80.2; it has increased compared to the previous mean. We can see that if we move any outliers closer to the main cluster, then the mean will be centered more around the main cluster. In the other direction, if we move the outlier further away from the cluster, then the outlier pulls on the mean. Think of a magnetic or gravitational pull.
The smaller outlier 38 made the mean of 76.2 to be smaller than it should be if we focused on the other values only. In short, if your data set has outliers, then the mean may likely not reflect the true center average value of the group. At that point, the median may be the next best thing or you could use a trimmed mean.
Answer:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer:2.Triangles ABD and CDB are congruent by the SAS postulate.
Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." is perfectly correct.
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." this is also true
so by now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent
15.7 of 80 percent is 12.56
So this is just working with exponents, but negative exponents can be a little tricky. your example didn't do a great job of showing how you calculate negative exponents.
for #2, you have 10⁻⁶
to convert negative exponents into something that makes more sense to our brain, you can set it beneath 1:

... or, in the event that you can't see that because you're on the app: (1)/(10⁶). so now, instead of calculating 10⁻⁶, which would probably give you a confusing decimal, you just need to figure out 10⁶ -- and positive exponents are much easier to deal with.
10⁶ = 1,000,000
BUT remember that you have to put this value beneath a 1 to account for your negative exponent and (1/1,000,000) is your answer for part A.
so, use the same steps for the rest of the problems:
1) convert negative exponent to positive exponent beneath 17⁻³ = (1)/(7³)
2) calculate 7³7³ = 343
<span>
3) your result is (1/343)</span>
<span>for 12</span>⁻², again, you'll put it beneath 1 so that it becomes (1)/(12²), then you'll calculate 12² (12*12 = 144), so that your result is (1/144). that leaves the letter D for number 2, which you'll have to write into your boxes at the top.
i hope this helps! you can message me if you have any specific ones that cause you trouble and i'll do my best to help.