Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What i
s the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50
Please include all work!
Please include all work!
2 answers:
Answer: 1. A. y=17x
2. $59.50
Step-by-step explanation:
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = ,.
Equation of direct variation between x and y :
Put k= 17 , we get
, which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
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The magnitude of the resultant velocity is
.
The approximate value of the actual velocity of the plane is . Correct choice is (D).
Answer:
The answer to each point is below
Step-by-step explanation:
We will solve point by point:
a) We have to:
Random variable X = number of heads
Let, H => heads, T => tails
b) We have that the combinations are
TTT, TTH, THT, THH, HTT, HTH, HHT, HHH
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Probability (P) 1/8 3/8 3/8 1/8
c) attached the histogram.
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m = 1.5
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e) E (X ^ 2) = 0 * 1/8 + 12 * 3/8 + 22 * 3/8 + 32 * 1/8 = 3
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Var = 3 - (1.5) ^ 2
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f) standard deviation = (Var) ^ (1/2) = (0.75) ^ (1/2) = 0.866
sd = 0.866
the standard deviation is 0.866
g) P (2 or more heads) = 3/8 + 1/8 = 0.5
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h) P (two heads) = 3/8 = 0.375
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Answer: the answer is 4
Step-by-step explanation:
