Answer:
90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.
Step-by-step explanation:
Confidence interval for true mean weight is given as sample mean +/- margin of error (E)
sample mean = 110 g
sample sd = 14 g
n = 16
degree of freedom = n - 1 = 16 - 1 = 15
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753
E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g
Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g
Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g
90% confidence interval is (103.8645, 116.1355)
54 - 18n
Multiply -9 by -6 to get 54.
Multiply -9 by 2n to get 18n.
Answer:
The answer to your question is diameter = 19.7 in
Step-by-step explanation:
Data
Circumference = 62 in
diameter = ?
Process
1.- Write the formula of Circumference, remember that circumference = perimeter.
Perimeter = 2πr
2.- Equal the equation to the value given
2πr = 62
-Solve it for r
r = 62/2(3.14)
-Result
r = 62/6.28
r = 9.87 in
3.- Find the diameter
diameter = 2r
diameter = 2(9.87)
diameter = 19.7 in
Answer:
Step-by-step explanation:
In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.
Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
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