Answer:
Step-by-step explanation:
Solve x^2 + 6x + 4. Here the coefficients of the quadratic are a = 1, b = 6 and c = 4. The discriminant is therefore b^2-4ac, or, in this case, 6^2-4(1)(4), or 20.
The roots are:
-6 ± √20
x = ---------------- = -3 ± √4√5: x = -3 + 2√5 and x = -3 - 2√5
2
The -3 comes from the -6/2 in the application of the quadratic formula.
Answer A is correct.
Answer:
And the deviation would be:
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
And replacing we got:
Now we can find the second moment given by:
And replacing we got:
And the variance would be given by:
And the deviation would be:
Answer:
Decimal Fraction Percentage
0.101 101/1000 10.1%
0.1 100/1000 10%
0.1013 101/997 10.13%
0.1012 101/998 10.12%
Step-by-step explanation:
Answer:
1.67 is the answer unless it is 1.6 or 1.66666667
Step-by-step explanation:
Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart