Answer: d
Step-by-step explanation:
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;

<em>Hence the equation for the nth floor of the tower is expressed as </em>
<em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

<em>Hence the height of the 65th floor is 789feets.</em>
the coach makes a total volume of 60 L of a sports drink
we have to find the number of cups he can fill with the drink
1 cup is equivalent to 0.5 pints
so we have to first convert L to pints
1 L = 2.11 pt
then 60 L = 126.6 pt
the volume of sports drink made is 126.6 pt
so 0.5 pt make - 1 cup
then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups
he can make 253 full cups and 0.2 of a cup
answer is 253.2 cups
The midpoint is just the average of the coordinates of the endpoints.
((-8+2)/2, (-3-5)/2)
(-6/2, -8/2)
(-3,-4)