The standard deviation of the data set is D. ABOUT 13.4
14, 34, 23, 50, 25, 16, 48
Arrange in ascending order: 14, 16, 23, 25, 34, 48, 50
mean = (14 + 16 + 23 + 25 + 34 + 48 + 50) / 7 = 210/7 = 30
|14 - 30| = 16 ⇒ 16² = 256
|16 - 30| = 14 ⇒ 14² = 196
|23 - 30| = 7 ⇒ 7² = 49
|25 - 30| = 5 ⇒ 5² = 25
|34 - 30| = 4 ⇒ 4² = 16
|48 - 30| = 18 ⇒ 18² = 324
|50 - 30| = 20 ⇒ 20² = 400
(256 + 196 + 49 + 25 + 16 + 324 + 400) / 7 = 1,266/7 = 180.85 variance
√180.85 = 13.45 standard deviation.
Answer:
Yes , it satisfies the hypothesis and we can conclude that c = 1 is an element of [0,2]
c = 1 ∈ [0,2]
Step-by-step explanation:
Given that:
![f(x) = 4x^2 -3x + 2, [0, 2]](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%20-3x%20%2B%202%2C%20%5B0%2C%202%5D)
which is read as the function of x = 4x² - 3x + 2 along the interval [0,2]
Differentiating the function with respect to x is;
f(x) = 8x - 3
Using the Mean value theorem to see if the function satisfies it, we have:
since the polynomial function is differentiated in [0,2]
8c -3 = 5
8c = 5+3
8c = 8
c = 8/8
c = 1
Therefore, we can conclude that c = 1 is an element of [0,2]
c = 1 ∈ [0,2]
Answer:2x - 5cm + 3x +2cm + 2x - 1cm=59cm
2x + 3x + 2x + 2cm + 1cm - 5cm=59cm
7x - 2cm=59cm
7x - 2cm + 2cm=59cm + 2cm
7x=61cm
X=8 5/7cm
Step-by-step explanation:
Answer:
top dot 1 1/4
bottom dot -1 1/2
Step-by-step explanation:
See I'm not sure if it was those dots on the picture
Answer:
About 4%
because 5 of 5.2 is about 96% so 100% - 96% = 4%
