Answer:
Stratified Sample
Step-by-step explanation:
Stratified Sampling method can be defined as a type of sampling method where the researcher categories the population into different groups called Strata. Hence, a probability sample is derived from each group.
In the question given:
The groups of boys are called the strata and the population are the number of the players given.
Answer:
Perimeter = 101.496 cm
Step-by-step explanation:
draw line from point C that is perpendicular to line AD. Call that point E.
tan 43° = 16.7/ED
0.9325 = 16.7/ED
ED = 17.909 cm
sin 43° = 16.7/CD
0.6820 = 16.7/CD
CD = 24.487 cm
Perimeter = AB + BC + CD + ED + AE
Perimeter = 16.7 + 21.2 + 24.487 + 17.909 + 21.2 = 101.496 cm
Answer:
1. polynomial is a kind of mathematical expression
2. degree of a polynomial is the highest of the degrees of its monomials (individual terms) with non-zero coefficients
3. a coefficient is a number used to multiply a variable.
4. A exponent refers to the number of times a number is multiplied by itself
5. a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
Answer: they had 500 visitors
Step-by-step explanation:
