...anybody know this one

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s

anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

$\bf n=\frac{z^2p(1-p)}{e^2}$

where

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

so

$\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496$

(*)This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9

It can be obtained in Excel or OpenOffice Calc with

NORMSINV(0.95)

6 0

2 years ago

The Rotation is a 60° rotation about O, the center of the regular hexagon. State the image of B for the following rotation. R2-R

Luda [366]

Answer: B. I got it correct on my assignment.

5 0

2 years ago

Jackson is conducting an experiment for his Physics class. He attaches a weight to the bottom of a metal spring. He then pulls t

olga55 [171]

We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.

7 0

2 years ago

Read 2 more answers

You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.

olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, $y = a(1 + r)^{t}$ , as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

$y = 1200(1 + 0.03)^{4}$