Hey there! :)
To find the equation of a line that passes through (2, -4) & (5, 13), we must first find the slope.
To find the slope, we must use the slope equation, which is : m = (y₂-y₁) / (x₂-x₁)
So, let's plug everything in!
m = (y₂ - y₁) / (x₂ - x₁)
m = (13 - (-4)) / (5 - 2)
Simplify.
m = (13 + 4) / 3
Simplify.
m = 17/3
So, our slope is 17/3!
Now, let's find the equation of the line using slope-intercept form.
Remember that slope-intercept form is : y=mx+b where m=slope, b=y-intercept.
Since we already have the slope, all we need to do is find the y-intercept.
To find the y-intercept, let's plug all of our known variables into y-intercept form, using the points (2, 4) and the slope 17/3.
y = mx + b
(4) = (17/3)(2) + b
Simplify.
4 = 24/3 + b
Simplify.
4 = 8 + b
Subtract 8 from both sides.
4 - 8 = b
Simplify.
-4 = b
So, our y-intercept is b!
Using our known variables (slope, y-intercept), we can very easily plug it into a new slope-intercept equation!
y = mx + b
So, since our slope is 17/3 and our y-intercept is -4, let's plug and chug!
y = 17/3x - 4 → our final answer
~Hope I helped!~
Total number of students in the sample = 100
Atleast 3 means equal to or greater than 3. So in order to find the number of students in the sample who play outdoor games for atleast 3 hours we need to add the number of students who play for 3 hours or more.
Therefore, number of students who play for atleast 3 hours = 62 + 8 + 0 = 70
In the sample of 100 students, 70 students play the outdoor games for atleast 3 hours.
Base on this we can the sample proportion of students who play outdoor games for atleast 3 hours = 70/100 = 0.7
Based on the sample proportion, out of 1200 students the expected number of students who will play outdoor games for atleast 3 hours = 0.7 x 1200 = 840 students
Thus, 840 students out of 1200 would be expected to play outdoor games for at least three hours every week. Option B is the correct answer
I think 18, 30, 54 is correct
Answer:
2 * 2 * 2 * 2
2^4
Step-by-step explanation:
16= 4 * 4 = (2 * 2) * (2* 2)
Answer:
B
Step-by-step explanation:
The answer is B because if you move two times to the right it gives you 0.09 like the eqution.
But scientific notation requires number without decimal, so the answer cannot be E because 0.9 is a decimal.
Just reminder: B and D have the same result!! just different coefficient
