Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:
![\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220](https://tex.z-dn.net/?f=%5Cbinom%7Bn%7D%7Bk%7D%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%5C%5C%20%5C%5C%5Cbinom%7B60%7D%7B3%7D%3D%5Cfrac%7B60%21%7D%7B3%21%2860-3%29%21%7D%5C%5C%5C%5C%5Cbinom%7B60%7D%7B3%7D%3D%5Cfrac%7B60%21%7D%7B3%21%2857%29%21%7D%5C%5C%5C%5C%5Cbinom%7B60%7D%7B3%7D%3D%5Cfrac%7B60%2A59%2A58%7D%7B3%2A2%2A1%7D%5C%5C%20%5C%5C%5Cbinom%7B60%7D%7B3%7D%3D34220)
Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
Emma's estimate is not reasonable because a serving of soup is typically about 1-2 cups and 2 quarts = 8 cups.
would you eat 8 cups of soup? no.
First, factor the expression on the top. What two numbers add to get 8 and multiply to 15? 5 and 3! so the top expression factors to (x+3)(x+5). You can cancel the x+3 from the denominator and end up with x+5. Make sense?
<h3>Answer: so 3 goes into 12 4 times and 5 times 4 is 20.
Step-by-step explanation:
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