Trevor is preparing dinner plates. He has 18 pieces of chicken and 14 rolls. If he wants to make all the plates identical withou
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The area of any circle is equal to 
, where r is the radius.
We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.
Substitute 6 for r in our equation and simplify.
π6² = π6×6 = 36π in²
We know that the diameter is 12. The radius is always half of the diameter, so the radius of our circle must be 6.
Substitute 6 for r in our equation and simplify.
π6² = π6×6 = 36π in²
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
Plugging this in for our points, we get
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
Feel free to ask further questions!
Plugging this in for our points, we get
Feel free to ask further questions!
Answer:
Step-by-step explanation:
The equation of ab line that passes through two points (a,b) and (c,d) is given by :-
From the given picture , the line is passing through points (0,3) and (3,2).
Then, the equation of the line will be :-
Hence, the required equation of the line that represents the graphed function :
Answer:
B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.</em>
We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.
First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).
Second, the 10% condition: the 50 sales represent less than 10% of all purchases.
Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.
If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.
We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:
Then, we calculate the z-score
The probabilty can be calculated then as: