Area of circle = πr²
Given that area = 153.86 m², find the radius:
153.86 = πr²
r² = 153.86 ÷ π
r² = 48.98
r = √48.98
r = 7 m
Diameter = Radius x 2 = 7 x 2 = 14 m
Answer: Diameter = 14 m
Answer: b) (x - 2)(x + 1)(x + 3)
<u>Step-by-step explanation:</u>
Look at the graph to find the x-intercepts (where the graph crosses the x-axis).
x = 2 x = -1 and x = -3
Now rearrange each of those equation so they are equal to zero:
x - 2 = 0 x + 1 = 0 and x + 3 = 0
Next, combine them (using multiplication):
(x - 2) (x + 1) (x + 3) = 0
Lastly, evaluate the sign of the a-value (coefficient of the polynomial):
Since the right side of the graph goes to POSITIVE infinity, then the a-value is positive.
Given that S<span>am's distribution of meal costs has a mean of $9 and a standard deviation of $3, this means that the range of Sam's meal cost that are within one standard deviation is given by ($9 - 3, $9 + 3) = ($6, $12).
Given that Sam </span><span>always tips the server $2 plus 10% of the cost of the meal, this means that when the cost of the meal is $9, Sam tips $2 + (0.1 x 9) = $2 + $0.9 = $2.90
Therefore, the mean of the distribution of Sam's tips is $2.90
Similarly, the </span><span>range of Sam's tips that are within one standard deviation is given by ($2 + 0.1(6), $2 + 0.1(12)) = ($2 + 0.6, $2 + 1.2) = ($2.6, 3.2) = ($2.9 - $0.3, $2.9 + $0.3)
Therefore, </span><span>the standard deviation of the distribution of Sam's tips is $0.3</span>
Answer:
"Eduardo did not use the correct formula for the circumference"
Step-by-step explanation:
The circumference formula is C = 2πr
Area formula is A=πr^2
Volume formula is correct. The steps area also correct to find r, the radius.
But in the end, he put the formula for circumference wrong. He used the formula for Area, NOT Circumference.
Hence, "Eduardo did not use the correct formula for the circumference" should be the correct choice for this question.
