Answer:
The required probability is 0.031918.
Step-by-step explanation:
Consider the provided information.
It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.
Therefore n=34
The probability it is either up or down is 0.5.
Thus the value of p =0.5 and q = 0.5
Now calculate the probability
Let X is the number of years that theory held.
X has a binomial distribution with n=34 and p=0.5
Hence, the required probability is 0.031918.
If you would like to know how much is 325% of 24.2, you can calculate this using the following steps:
325% of 24.2 = 325/100 * 24.2 = 78.65
Result: 325% of 24.2 is 78.65.
Answer:
Explanation:
Verbal statements must be translated into algebraic expressions, equations or inequalities.
<u>1. Money earned by Jamie washing cars for $25 each</u>
Let x represent the number of cars Jaime washes.
<u>2. Money earned by Stella making pecan pies for $15 each</u>
Let y represent the number of pies she makes
<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.
Write an inequality using the symbol ≤, since y can take any integer value up to 40.
4. First question:
Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip
5. Second question:
Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.
6. Third question
Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.
From step # 3
7. Conclusion
You can solve the inequalities fo find whether Stella can or not afford the trip:
Solve for the inequalities that represent Stella's situation:
The solution set is the intersection of the two solutions:
- Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.
Answer:
x = 18
Step-by-step explanation:
By the rule of Consecutive Interior Angles which define what these angles are, they both will add up to 180. As such we can put the sum of these two angles set equal to 180, and solve algebraically
(8x - 20) + (3x + 2) = 180
8x - 20 + 3x + 2 = 180
11x - 18 = 180
<u> + 18 +18</u>
11x = 198
x = 198/11
x = 18
Answer:
x + 3y + 11 = 0 is the required equation.
Step-by-step explanation:
Here the given points are A( -2,-3) and B(4,-5)
Now, slope of the equation = 
Hence, the slope of the equation is m = (-1/3)
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (4, -5) is
or, 3y + 15 + x-4 = 0
or, x + 3y + 11 = 0
⇒ x + 3y + 11 = 0 is the required equation.
