Answer:
95% Confidence interval of the standard deviation: 3.33 ≤ σ ≤ 8.85
Step-by-step explanation:
Sample size = 10
Degrees of freedom = 10-1 = 9
For a 95% confidence interval, we have α=0.05, which gives 2.5% of the area at each end of the chi-square distribution.
We calculate the chi-square values for a 95% confidence interval
Value of chi-square_0.975 = 2.70
Value of chi-square_0.025 = 19.02
We then evaluate
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Then we have:
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With these results we can express the confidence interval as
3.33 ≤ σ ≤ 8.85
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
Answer:
Part A: f(4) = 2
Part B: k = -7
Step-by-step explanation:
f(4) simply means what the y-value of the graph is when x = 4.
The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.
Part B asks to solve the equation: f(4) + k = -5
We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):
2 + k = - 5
Substract 2 from both sides:
k = -7
Surface area is the sum of all the areas of all the shapes that covers the surface of the object.
Surface area of a cube = 6 * a²
(a is the length of the side of each edge of the cube)
Surface area of a rectangular prism = 2ab + 2bc + 2ac
a = length
b = height
c = width
Answer:
20 cm
Step-by-step explanation:
Equilateral means the sides are congruent.
6cm + 6cm + 8cm = 20cm