The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.
Final answer: C. 10
2/9 of the pizza C: if bob has 1/3 of the pizza left and he eats 2/3, then you take 2/3 of 1/3, so you multiply.
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:
There are 3 red marbles.
Step-by-step explanation:
The ratio of red marbles to blue marbles is 3:2, so for every two blue marbles there are three red marbles. This means that there are three red marbles for every four marbles in the bag. Therefore, if there are five marbles in the bag, there must be three red marbles and two blue marbles.
1 = 1/4(2x+8)
1 = 1/2x + 2
1 - 2 = 1/2x
(-1) = 1/2x
x = (-1) : 1/2 = (-1) × 2/1 = (-2)
Answer : x = (-2)
