Answer:
Option D) 0.014
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1200
Sample proportion =
We have to make a 95% confidence interval.
Formula for standard error:
Putting the values, we get:
Thus, the correct answer is
Option D) 0.014
With a dilation, each dimension increases by the factor. Thus, if we let the dimensions be x and y, the new dimensions are 2x and 2y.
(a): The original perimeter is 2(x+y), but the new one is 2(2x+2y). This is twice the original perimeter, so it is 18*2=36.
(b): The original area is xy, and the new one is (2x)(2y), or 4xy. This is four times the original area, or 20*4=80.
(c): As it's given that the side lengths are integers, the intended solution is most likely to divide by 2 in the perimeter to see that the sum of the side-lengths is 9 and their product is 20. Guessing/checking values for each side, we see that 4 and 5 work for the smaller rectangle. Multiplying by two, the larger one has lengths 8 and 10.
Alternatively, we set them to x and y and use the equations:
x+y=9
xy=20
Dividing by y, we see that x=20/y. Substituting, we have that y+20/y=9. Subtracting 9 and multiplying by y, we have:
y^2-9y=20
Factoring, we have (y-5)(y-4)=0. The solutions to this equation are 4 and 5, which result in x=5, y=4 or x=4, y=5 respectively. Thus, we see that 4 and 5 are the side-lengths. Note that this solution did not require the assumption that the side-lengths are integers!
With the $10 gift card, Jose can buy at most 8 songs
x(the number of songs) less than or equal to 8
Answer:
$80 per T.V.
Step-by-step explanation:
First you want to multiply 25 by 19, the amount of televisions sold with an extended warranty.
Next you want to subtract that amount from the total earnings, this way you can find out the amount he earned in total from selling 19 televisions without their warranty.
After that divide that number by 19 to find out how much each television was worth each.
270/3000=.09
1 peso= .09¢ American dollars
<span>100 pesos= $9.00 american dollars</span>
