Answer:
10
Step-by-step explanation:
Should be 21 boys because 7+7+7 equal 21 and 3+3+3 equal 9 which equals 30
I assume you mean -5 and 3/4 instead of -53/4. In that case, it cannot be A, as -5.8 is less than -5.75 (AKA -5 3/4). It cannot be C or D either, though, as the number has to be less than -5.5, and -5.4 or -5.3 are both more than -5.5. Thus, by process of elimination, it has to be B, - 5.7. Hope I helped! Good luck in future!
Answer:
C. sqrt((-3-6)² + (4+2)²)
Step-by-step explanation:
as we are using Pythagoras and asking for the distance as a side length (actually the Hypotenuse, the side opposite of the 90 degree angle) in a right-angled triangle, only an expression of a square root of a sum of squares can be right.
so, A and B are automatically out without even further analysis.
for the distance between 2 points on a coordination grid we build the mentioned right-angled triangle with the difference in x-direction as one side (e.g. "a"), the difference in y-direction as a second side (e.g. "b").
and the direct distance is then the Hypotenuse "c".
you remember Pythagoras :
c² = a² + b²
and therefore
c = sqrt(a² + b²)
in our example "a" is the difference between the 2 x-values.
a = (-3 - 6)
and "b" is the difference between the 2 y-values.
b = (4 - -2) = (4 + 2)
since we have to square them for the formula, the direction of what is subtracted from what is irrelevant, as the square of a negative value is also positive.
c = sqrt((-3 - 6)² + (4 + 2)²)
and that is answer option C
Answer:
the smallest sample size is 163
Step-by-step explanation:
The computation of the smallest sample size that meets these criteria is shown below:
n = (Z a/2 × Standard deviation ÷ Margin of error ) ^2
Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 2.6
Margin of error i.e. ME =0.4
n = ( 1.96 × 2.6 ÷ 0.4) ^2
= 163
Hence, the smallest sample size is 163
