Answer:
Blue
Step-by-step explanation:
Because it has the lowest likelihood, with only a 15% chance.
Answer:
31.5
Step-by-step explanation:
You have to break the shape up into a triangle and a rectangle
Area of a Triangle:
A=1/2(b)(h)
=1/2(7)(3)
=1/2(21)
=10.5
Area of Rectangle:
A= (b)(h)
=(7)(3)
=21
Area of Total Shape:
10.5 + 21
=31.5
Answer:
(2,1)
Step-by-step explanation:
3x+y = 7
-2x +y = -3
Solve the second equation for y by adding 2x to each side
-2x+2x +y = -3+2x
y = -3 +2x
Substitute into the first equation
3x+ (-3+2x) = 7
Combine like terms
5x -3 = 7
Add 3 to each side
5x-3+3 = 7+3
5x = 10
Divide by 5
5x/5 = 10/5
x=2
Now we need to solve for y
y = -3 +2x
y = -3 +2(2)
y = -3+4
y =1
Answer:
Note: <em>The full question is attached as picture below</em>
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>
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