Answer: Choice C)
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mean = xbar = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are: 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
1/5 because there are 7 numbers divisible by 5 from 1 to 35. 5,10, 15, 20,25,30,35, and out of those there are 35 cards, 7 out of 35 or 7/5 can be simplified to 1/5.
Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
<u>Answer:</u>
<h2>SA = 84 ft²</h2>
<u>Explanation:</u>
SA = the area of one side of the pyramid times 4 + the area of the base of the pyramid
Area of a triangle = (height × base)/2
Area of a sqaure = lenght²
given:
h = 4 ft | b = 6 ft | l = 6 ft
SA = 4(h×b×1/2) + l²
SA = 4(4×6×1/2) + 6²
SA = 4×12 + 36
SA = 48 + 36
SA = 84 ft²
