A z-score<span> is the number of standard deviations from the mean a data point is.
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Standard deviation explains by how much the members of a group differ from the mean value for the group.
Using the z-score formula:
z = ( x - μ ) ÷ σ
Where;
x = score
μ = Mean
σ = Standard deviation
Z- Score (Tara) = ( 52 - 64 ) ÷ 8
= - 12 ÷ 8
= - 1.5
Z- Score (Jamal) = ( 82 - 64 ) ÷ 8
= 18 ÷ 8
= 2.25
Z- Score (Samuel) = ( 66 - 64 ) ÷ 8
= 2 ÷ 8
= 0.25
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
The greatest common factor of 72 and 4 is 4.
Answer:
or 9.6×10^8
Step-by-step explanation:
The answer is written above.
Hope this helps!
9514 1404 393
Answer:
A: 8x +24
B: not equivalent for any value of x
Step-by-step explanation:
<u>Part A</u>:
The factor of 4 on the outside of parentheses multiplies each term inside:
M = 4(2x) +4(6)
M = 8x +24 . . . . . expression equivalent to M
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<u>Part B</u>:
Expressions M and N are not equivalent for any value of x. They are equivalent if their difference is zero or can be made to be zero. Subtracting N from M, we find the difference to be ...
M -N = (8x +24) -(8x +10) = 14
There is no value of x that will make the difference of 14 become zero.
