A linear function is y=mx + b so yes (assuming + sign at end is accidental)
5 x 5 = 25
25 x 6 = 150
150cm^2
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Volume of cone:
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Volume = 1/3 πr²h
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Find Height:
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Given that the radius = 5 and the volume = 100, we will substitute these values into their respective variable and solve for height.
Volume = 1/3 πr²h
100 = 1/3 π (5)²h
h = 100 ÷ 1/3π(25)
h= 4 units (Nearest whole number)
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Answer: The height is 4 units.
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Answer:
Step-by-step explanation:
1)
y = 5x-4 when x=5
y = 5*5-4
y = 25-4
y = 21
y = -2/5x + 3/8 when x = 1/3
y = -2/5 * 1/3 + 3/8
y = -2/15 + 3/8
y = -6/120
y = -1/20
y = 3x + 12 when x = 4
y = 3*4 + 12
y = 12 + 12
y = 24
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).
Replacing we have:
z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]
z = 1.289
If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:
1 - 0.8897 = 0.1003
So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.
Now the hypothesis tells me:
m> 5
The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.
