Answer:
2.25
Step-by-step explanation:
The computation of the number c that satisfied is shown below:
Given that
Interval = (0,9)
According to the Rolle's mean value theorem,
If f(x) is continuous in {a,b) and it is distinct also
And, f(a) ≠ f(b) so its existance should be at least one value
i.e
After this,
After this,
Put the values of a and b to the above equation
![f^i(c) = \frac{f(b) - f(a)}{b - a} \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}](https://tex.z-dn.net/?f=f%5Ei%28c%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%7B2%7D%5Csqrt%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%20-0%7D%7B9-0%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7B9%7D%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%20%5Csqrt%5B2%5D%7Bc%7D%20%3D%203%5C%5C%5C%5C%5Csqrt%7Bc%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%5C%5C%20c%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
= 2.25
If a 16-fluid-ounce bottle of juice costs $2.00, the unit cost would be about $0.13 per ounce. 16/2=8, 1/8=0.125, 0.125=> $0.13.
Answer:
-122.5
Step-by-step explanation:
Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75
1 term → 78.75/3 = 26.25
therefore, u2 = - 70 - 2(26.25) = -122.5
Topic: Patterns + Common difference
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Answer:
<h2>25 months</h2>
Step-by-step explanation:
Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;
SE = S/√n where;
S is the standard deviation
n is the sample size
Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;
25 = S/√1
25 = S/1
cross multiply
S = 25*1
S = 25 months
<em>Hence the standard deviation based on the sample is 25 months</em>
Answer:
10.54 pounds is right answer
Step-by-step explanation:
bananas 2.26 pounds
Grapes 1.5 pounds
water melon 6.78 pounds
total weight = 10.54 pounds
