A rock climber's elevation above sea level changed −82 1/2 feet in 2 1/4 minutes as she descended.
so the the climber's average change in elevation per minute was:
x = -82 1/2 / 2 1/4x = (-165/2) / (9/4)x = (-165/2) x (4/9)x = -18 feet per minute is his change in elevation
<h3>
Answer: 9</h3>
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Explanation:
You're on the right track. The 15 C 9 refers to the nCr combination formula which is built into the binomial probability.
The 0.75^9 is also correct
The 0.15^(15-7) portion is not correct. That 0.15 should be 0.25 so it adds to 0.75 to get 1.00 or just 1
Also, the (15-7) portion should be (15-9)
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So here's how the steps should look
B(x) = probability of getting a certain x value in a binomial distribution
B(x) = (nCx)*(p)^(x)*(1-p)^(n-x)
B(9) = (15C9)*(0.75)^(9)*(1-0.75)^(15-9)
B(9) = 5005*(0.75)^(9)*(0.25)^(6)
B(9) = 0.09174776729197
B(9) = 0.0917
The probability of getting exactly 9 flights on time is roughly 0.0917
This applies to one trial.
In 100 trials, we expect about 100*0.0917 = 9.17 = 9 flights to be on time.
It's a coincidence that we get a final answer of 9 which matches with the other 9 mentioned in the instructions. This won't always be the case.
Answer:
40$,160$ & 60
Step-by-step explanation:
First,find the equation using y-y1/ y1-y2=x-x1=x1-x2
y-0/0-20=x-0/0-3
y=20x/3
Now put the values of x& y in the equation, for the 1st one,
y=20×6/3
=40
2nd one.y=20×24/3
=160
3rd one,
400=20x/3
X=400×3/20
=60
Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
