Didn't answer all because I got lazy and I think you should try and do the rest yourself. Did this in 5 mins, try putting more effort into your homework. This is basic mathematics.
If there are 150 total instruments in said Orchestra, we'll need to divide that number in half.
75, simple enough. Now we know that half of 150 is 75.
Start by writing your problem like this: 150= 75w+37.5b
That equation is all I can think of, because 37.5 is half of 75, which means that's roughly the number you're looking for. Sorry if this doesn't help much<span />
Sadly is right. You must have practiced this stuff in middle school
until it was coming out of your ears. Fortunately, you have a chance
to relearn it now. You should do that ... it'll be important in any math
course you ever take.
'm' is the slope of the line on the graph.
The slope is
(the change in 'y' between any two points on the line)
divided by
(the change in 'x' between the same two points).
You can choose any two points on the line, and the slope is always the same.
To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.
Going between these two points ...
-- the line goes up, from y=0 to y=4. The change in 'y' is 4 .
-- the line goes to the right, from x=-2 to x=0. The change in 'x' is 2 .
'm' = the slope = (4)/(2) = 2 .
The "y-intercept" is the place where the line crosses the y-axis.
On this graph, that's the point where y=4 .
The equation of EVERY straight line on ANY graph is:
Y = (the slope) times 'x' + (the y-intercept) .
So the equation of THIS line on THIS graph is
Y = 2x + 4 .
Answer:
- B. The probability that the student received a grade better than C is 0.45
Step-by-step explanation:
<u>Total number of students:</u>
- 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>
A.
- p(<D) = 4/100 = 0.04
- 0.04 ≠ 0.2
- Incorrect
B.
- p(>C) = (30 + 15)/100 = 45/100 = 0.45
- 0.45 = 0.45
- Correct
C.
- p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
- 0.55 ≠ 0.45
- Incorrect
D.
- p(B or C) = (30 + 35)/100 = 65/100 = 0.65
- 0.65 ≠ 0.35
- Incorrect
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.
Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.
Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7
Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18
Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.
Answer: 37,39,41,43
