Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
3 1/2
Step-by-step explanation:
Rectangle is located at 3 but 2/4 between 3 & 4.
Simplify 2/4
1/2
Answer:
With this P-value, we have statistical evidence to support the claim that there is a relationship between the average number of putts per hole and the player's total winnings.
Step-by-step explanation:
In this case, the hypothesis test has the following hypothesis:
Null hypothesis: there is no relationship between the average number of putts per hole and the player's total winnings.
Alternative hypothesis: there is relationship between the average number of putts per hole and the player's total winnings.
Then, a P-value of 0.0087 is, without doubt, a strong evidence that the null hypothesis is false.
With this P-value, we have statistical evidence to support the claim that there is a relationship between the average number of putts per hole and the player's total winnings.
Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg:
= 14.72243186
Now, we use another formula to find the area of the triangle:
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = <u>125.1406708</u>
$10 a month fixed plus $0.10 for each message.
Variable:
m - number of text messages per month
Function:
c(m) - cost per month in dollars of Text-Pay Plan for m messages
Answer: c(m) = 0.10 m + 10
The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.
f(m) = 0.05 m + 20
How many text messages per month make these equal?
c(m) = f(m)
0.10 m + 10 = 0.05 m + 20
0.10 m - 0.05 m = 20 - 10
0.05 m = 10
m = 10/0.05 = 200
Check:
c(200) = .1(200)+10 = 20+10 = 30
f(200) = .05(200) + 20 = 10 + 20 = 30, good
Answer: 200 messages