128 : 3 :: w : 8 proportion
3w = (8)(128) product means/extremes
w = 341 ⅓ cars
The <em>correct answer</em> is:
$19,153.26.
Explanation:
She will receive 42% of her average annual salary. This salary was $45,603.
To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.
Next we multiply this by the number we're taking the percent of:
0.42(45603) = 19153.26.
Answer:
Option B
Step-by-step explanation:
Given that a survey of 500 likely voters showed that 385 felt that the economy was the most important national issue.
Sample size n = 500
favor who feel the ecomomy is the most important national issue x= 385
Sample proportion = 
Sample proportion would be the point estimate for population proportion of voters who feel the ecomomy is the most important national issue.
Hence the point estimate (p-hat0 for p, the population proportion of voters who feel the ecomomy is the most important national issue
is 0.77
(option B)
Answer:
The Taylor series of f(x) around the point a, can be written as:

Here we have:
f(x) = 4*cos(x)
a = 7*pi
then, let's calculate each part:
f(a) = 4*cos(7*pi) = -4
df/dx = -4*sin(x)
(df/dx)(a) = -4*sin(7*pi) = 0
(d^2f)/(dx^2) = -4*cos(x)
(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4
Here we already can see two things:
the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.
so we only will work with the even powers of the series:
f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....
So we can write it as:
f(x) = ∑fₙ
Such that the n-th term can written as:

The only answers that are possible is z=y-x y=x+z or x=y-z