So for each of the graphs, you basically just have to fill out slope form, which is y=my+b. And to make this equation, you need to find each variable.
First, find the slope. To calculate slope, count the rise (how many units up or down) the line goes from any point to the next immediate point, then the run (how many units left or right.) This should leave you with a fraction, rise/run. For example, on number 3, from labeled points (-5, -4) to (5,2) (double check cause it’s hard to see on my phone, but i think those are the points on 1??) it rises 6 units (-4 to 2) and runs 10 units (-5 to 5). This gives you your rise/run fraction, which is 6/10, simplified to 3/5.
So the slope fills out the m part of the equation. For 3, we found that slope is 3/5, and that fits into the m variable of the slope equation.
This makes it y=3/5x+b.
The last (and considerably less confusing) step is to find b. b is the y-intercept, which is just the point in the graph where the line crosses the y-axis and x=0. On 3, this would be (0,-1) or just -1.
So fill -1 into the b slot of the equation, and you get y=3/5x-1. And thats it!!
Let me know if you still need help on any of the other problems, but I hoped this helped to clear it up!! :)
Pi is approximately 3.14 and is commonly used in academic equations.
The first 100 digits of pi are 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Probability that a randomly selected adult has an IQ less than 137 is 0.9452
<u>Step-by-step explanation:</u>
<u>Step 1: </u>
Sketch the curve.
The probability that X<137 is equal to the blue area under the curve.
<u>Step 2:
</u>
Since μ=105 and σ=20 we have:
P ( X<137 )=P ( X−μ<137−105 )= P(X−μ/ σ< 137−105/20 )
Since x−μ/σ=Z and 137−105/20=1.6 we have:
P (X<137)=P (Z<1.6)
<u>Step 3: </u>
Use the standard normal table to conclude that:
P (Z<1.6)=0.9452
∴ probability that a randomly selected adult has an IQ less than 137 is 0.9452.
49 divided by 7 is 7.
The answer is 7 flowers in each vase.
Y=x+70
Slope-intercept form
