Series would be: 1,3,5......99
Here, a=1, d = 3-1 = 2, l = 99
l = a+(n-1)d
99 = 1+(n-1)2
98 = 2n-2
2n = 100
n = 50
Sum would be Sn = n/2 (a+l)
50/2 (1+99)
25(100) = 2500
So, your answer is 2500
"3 less than twice 'x' " . . . . that's (2x - 3)
" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)
Their product is
(2x - 3) (3x + 2) .
If you want to expand it to a single expression, perform the multiplication,
and you have
6x² - 5x - 6 .
<span>Two events are said to be independent if the probability that one event occurs in no way affects the probability of the other event occurring.
Given that </span><span>Marco has a bag of red, blue, and green tiles.
The set of events that can be considered independent are:
</span>1.) <span>A tile is drawn and replaced, and then a second tile is drawn.
and
2.) </span><span>Two tiles are drawn at the same time.</span>
Answer:
Positive Correlation
Step-by-step explanation:
We have to find a relation between the number of pets owned by a family and the cost of their vet bills.
Correlation:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
Now, as the number of pets will increase the vets bills will increase. Thus, with increase in one quantity the other also increase. Thus, there is a positive correlation between the two variables that are the number of pets owned by a family and the cost of their vet bills.
Answer:
y = - 
x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 3y = 6 into this form
subtract 2x from both sides
3y = - 2x + 6 ( divide all terms by 3 )
y = - x + 2 ← in slope-intercept form
