To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:
1. The probability that the pianist will be a boy,
2. The probability that the alternate will be a girl.
So, let's calculate these probabilities:
There are in total 5 children:
2 boys + 3 girls = 5 children.
1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.
2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.
The probability that the pianist will be a boy and the alternate will be a girl is:
2/5 × 3/5 = 6/25
6/25 × 4/4 = 24/100 = 0.24
the answer is 30 percent
a) y = -1
b) y = 3
c) y = x -1
d) y = 3x - 1
*graph is attached for 1st question*
Graph with a line going through points negative 2 comma zero and 0 comma negative one.
Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2).
y = 2x + 4
y = - 2x + 2
y = - 1 over 2 x + 2
y = 2x - 1
Answer:
1 -
2 -
Step-by-step explanation:
The general form of a straight line is , where m = slope and b = y-intercept.
Ques 1: We are given that the line passes through (0,2.5) and (4,2.5).
Then the slope of the line is given by,
Then, the y-intercept is given by,
That is, the equation of the line is
Then, the line parallel to have slope 0 i.e. .
As, the line passes through the point (3,-1) i.e. y= -1 for any value of x.
Then, the equation of line is
So, option A is correct.
Ques 2: We are given that the line passes through (-2,0) and (0,-1).
Then the slope of the line is given by,
Then, the y-intercept is given by,
That is, the equation of the line is
Then, we have,
The line perpendicular to have slope 2.
As, the line passes through the point (-1,2) with slope 2.
The y-intercept is given by,
Thus, the equation of the line is
So, option A is correct.
Overhead rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Hourly rate?
Answer:
Hourly Rate = $12.22 per hour
Step-by-step explanation:
Overhead Rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98
Cost of labor = Total cost - Retail price
= 241.98 - 134.75
= $107.23
Now, labor works for 4.5 hours and ears a total amount of $107.23
Now, Labor will get 95% overhead rate
⇒ The labor is getting 100% already but an overhead of 95% is also given
Answer:
12.22
Step-by-step explanation:
6x₁+3x₂=60
6x₁-2x₂=80
The statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.
It should be noted that a table simply means a list of numbers to that depicts a particular information.
In this case, the statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.
Learn more about table on:
#SPJ2
Answer:
3. The tree increased in height each month until the time period between month 9 and month 11.