When there are 1000 repetitions, the mean will be 5.002.
The charts that you have list the number of total heads when you flip the coin 10 times in each trial.
Multiply the total of each by the number number of heads for that category and divide by 1000.
1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10
If you add up those products and divide by 1000, you have 5.002.
Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.
Answer:
<em>Michael drove faster than Jordan.</em>
Step-by-step explanation:
<u>Speed</u>
The speed is the ratio between the distance d traveled by an object and the time t it took to move. In terms of a mathematical equation, it's expressed as:
Michael drove 210 miles in 3 and one-half hours. The parameters to calculate the speed are: d= 210 miles, t = 3.5 hours. The speed of Michael is:
Jordan drove 330 miles in 6 hours, thus his speed is:
It's clear that Michael drove faster than Jordan.
First we need the whole garden:
16 x 5 = 80
Now we need to fountain:
5 x 9 = 45
Now to find our answer:
80 - 45 = 35
So our answer is B. 35ft²
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
the sequence first numbe * 2, +3, *2
so 48 doesnot belong it should be 58
Step-by-step explanation:
