Answer:
And rounded up we have that n=1068
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We don't have a prior estimation for the proportion 
so we can use 0.5 as an approximation for this case
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer:
212 points
Step-by-step explanation:
He can only afford $11500 per year so divide that by 12, gets you 958 so he’s in the 675-699 range subtract 675- his current credit score to get the number of points he will need.
Answer:
9 pints would equal 144 ounces
Step-by-step explanation:
Pints
The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.
The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.
Fluid Ounces
The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]
The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..
Pint to Fluid Ounce Conversion Table
Pint measurements converted to fluid ounces
Pints Fluid Ounces
1 pt 16 fl oz
2 pt 32 fl oz
3 pt 48 fl oz
4 pt 64 fl oz
5 pt 80 fl oz
6 pt 96 fl oz
7 pt 112 fl oz
8 pt 128 fl oz
9 pt 144 fl oz
10 pt 160 fl oz
11 pt 176 fl oz
12 pt 192 fl oz
13 pt 208 fl oz
14 pt 224 fl oz
15 pt 240 fl oz
16 pt 256 fl oz
17 pt 272 fl oz
18 pt 288 fl oz
19 pt 304 fl oz
20 pt 320 fl oz
21 pt 336 fl oz
22 pt 352 fl oz
23 pt 368 fl oz
24 pt 384 fl oz
25 pt 400 fl oz
26 pt 416 fl oz
27 pt 432 fl oz
28 pt 448 fl oz
29 pt 464 fl oz
30 pt 480 fl oz
31 pt 496 fl oz
32 pt 512 fl oz
33 pt 528 fl oz
34 pt 544 fl oz
35 pt 560 fl oz
36 pt 576 fl oz
37 pt 592 fl oz
38 pt 608 fl oz
39 pt 624 fl oz
40 pt 640 fl oz
Please don't report this. :(
Answer:
D. 8ab+12a-2b-3
Step-by-step explanation:
You are basically combining like terms
Sine 35 degrees = x / 20
x = sine 35 degrees * 20
x = .57358 * 20
x = 11.4716
