So you're going to do to .5 * 10
Answer:
D) all American adults
Step-by-step explanation:
The 1496 respondents are the sample of the survey that was used to represent the population of interest, which is the total population from which the sample was drawn and the population from which the researchers want to find conclusions.
Looking at the alternatives, the only one that fits the description is alternative D) all American adults
.
Answer:
y = -x + 11
Step-by-step explanation:
The slope of the line y = -x + 4 is -1.
So the slope of our line is also -1 ( because they are parallel).
First use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.
Here m = -1 and (x1, y1) = (6, 5).
So we have:
y - 5 = -1(x - 6)
y - 5 = -x + 6
y = -x + 11 <------ Slope intercept form.
Answer: 80 pieces of fruit
Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.
Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree
This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked
24 + 40 + 12 + 4 = total pieces of fruit picked
Now, you add up those four numbers, and you have your answer, 80.
Hope this helps!
This follows directly from the double angle identity for sine,
sin(2<em>u</em>) = 2 sin(<em>u</em>) cos(<em>u</em>)
But supposing that's not known to you, you could use the angle sum identity:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + sin(<em>y</em>) cos(<em>x</em>)
Since 4<em>u</em> = 2<em>u</em> + 2<em>u</em>, we have
sin(4<em>u</em>) = sin(2<em>u</em> + 2<em>u</em>)
sin(4<em>u</em>) = sin(2<em>u</em>) cos(2<em>u</em>) + cos(2<em>u</em>) sin(2<em>u</em>)
sin(4<em>u</em>) = 2 sin(2<em>u</em>) cos(2<em>u</em>)
