Answer:
a. Best estimate for the mean family size for the population of all families in a country is 16.3571428571
b. 95% confidence interval for the estimate is 16.3571428571±0.7106240840. That is between 15.6465187731 and 17.0677669411
c. The sample is unlikely to be very representative of all families in a country.
Step-by-step explanation:
a. mean family size for the population of all families in a country can be estimated as sample mean, and calculated as:
≈ 16.3571428571
b. 95% confidence interval for the estimate can be calculated using the equation CI=M± 
where
- M is the mean estimate (16.3571428571)
- t is the corresponding statistic in the 95% confidence level and with 14 degrees of freedom (2.160)
- s is the standard deviation of the sample (1.2309777100)
- N is the sample size (14)
s can be calculated as square root of mean squared differences from the sample mean.
Thus 95% CI=16.3571428571± 
≈ 16.3571428571±0.7106240840
The sample is unlikely to be very representative of all families in a country because as the sample data increases, estimate will improve.
Answer:
3,051,490 cookies/day
Step-by-step explanation:
Do 610,298 x 5
Answer:
2(7) - 1/4 = 4 + 1/3x
x = 117/4
Step-by-step explanation:
solving an equation with one missing variable
step 1: multiply 2 * 7
ex: 14 - 1/4 = 4 + 1/3x
step 2: subtract 14 from 1/4
ex: 55/4 = 4 + 1/3x
step 3: subtract 4 from both sides of the equation
55/4 - 4 = 4 + 1/3x - 4 (39/4 = 1/3x)
step 4: divide both sides of the equation by 1/3
ex: 39/4 / 1/3 = 1/3x / 1/3 (x = 117/4 or x = 29 1/4)
step 5: to check your answer add the answer you got from the last equation which was 117/4 or 29 1/4 and input it into the original equation and get your final answer
ex: 2(7) - 1/4 = 4 + 1/3(117/4)
14 - 1/4 = 4 + 39/4
55/4 = 55/4 (if both sides of the equation are the same numbers like 55/4 = 55/4 then your answer is true)
The total angles in a polygon is 180 (n -2) where n is the number of sides.
A traingle has 3 sides. using the formula 180 x (3-2) = 180
So
X + Y + Y = 180
X + 2Y = 180 ...eq1
A pentagon has 5 sides, using the formula
180 x (5-2) = 540.
All the Y adds up to 540.
10Y = 540
Y = 54.
Use Y = 54 and sub into eq1
X + 2(54) =180
X = 180 - 2(54)
X = 180 -108
X =72
So X is 72
and Y is 54
To find the cost of each book, you need to divide the money spent on all of the books by the number of books.
$39 / 10 = $3.90 per book
