(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
Answer:
4/6 or 2/3
Step-by-step explanation:
1/2 of the die is odd numbers so, you would add one more number which would be 4/6 or 2/3
The proportion of people with IQs above 130 is 2.3%.
<h3>How to calculate the value?</h3>
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
Learn more about proportion on:
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Well, if you have a conversion sheet it would be very helpful. If you find how many centimeters are in one foot, then you can add those to how many centimeters are in 10 inches. You can even look up on the internet a conversion sheet and use those directions to do the rest as well.