Answer:
180 people
Step-by-step explanation:
If we can seat 5 people per table and there are 36 tables, we multiply 36 times 5 to find out how many people we can seat.
36 tables * 5 people/table = 180 people.
The equation of this sinusoidal function is either
f(x) = a sin(bx) + c
or
f(x) = a cos(bx) + c
Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.
If the period is π/2, then
2π/b = π/2 ⇒ b = 4
If the maximum value is 10 and the minimum value is -4, then
-4 ≤ a sin(4x) + c ≤ 10
-4 - c ≤ a sin(4x) ≤ 10 - c
-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a
Recall that sin(x) is bounded between -1 and 1. So we must have
-(4 + c)/a = -1 ⇒ a = c + 4
(10 - c)/a = 1 ⇒ a = -c + 10
Combining these equations and eliminating either variable gives
a + a = (c + 4) + (-c + 10) ⇒ 2a = 14 ⇒ a = 7
a - a = (c + 4) - (-c + 10) ⇒ 0 = 2c - 6 ⇒ c = 3
Finally, we have either
f(x) = a sin(bx) + c ⇒ f(0) = c = 3
or
f(x) = a cos(bx) + c ⇒ f(0) = a + c = 3
but the cosine case is impossible since a = 7.
So, the given function has equation
f(x) = 7 sin(4x) + 3
The answer is C. because its 73 is after the 19 is subtracted
The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.
Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.
39² + 80² = c²
169 + 6400 = c²
6569 = c²
Square root both sides to cancel out the squared variable.
√6569 = √(c²)
√6569 = c
The third side, the hypotenuse, is √6569 units long.
Solution: The sample mean of sample 1 is:
The sample mean of sample 2 is:
The sample mean of sample 3 is:
The sample mean of sample 4 is:
The minimum sample mean of the four sample means is 3.6 and maximum sample mean of the four sample means is 4.4.
Therefore, using his four samples, between 3.6 and 4.4 will Ardem's actual population mean lie.
Hence the option 3.6 and 4.4 is correct
