The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.
To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
<span>Find the equation of the line that passes through the points (3,-2) and (4,5).</span>
5-(-2)=7/ 4-3=1
So the slope is 7. Now plugin 7 for "m" and use one of the two points for x and y
5=7(4)*b
5=28*b
5-28=b
-23=b
So y=7x-23
Answer:
There are no like terms.
Step-by-step explanation:
basically that is your answer you can not solve so it will be 3ax – 3ay – 2bx + 2by
Answer:
88 rolls of 2.
Step-by-step explanation:
By proportion that would be 220 * 20/50
= 220 * 0.4
= 88.
Answer:
99.7%
Step-by-step explanation:
Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.
The empirical rule states that for a normal distribution:
- 68% falls within one standard deviation (μ ± σ)
- 95% falls within two standard deviation (μ ± 2σ)
- 99.7% falls within three standard deviation (μ ± 3σ)
one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms
two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms
three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms
