Answer:
Step-by-step explanation:
Assuming that the first exponent in the formula for the curve should be 3, not 2...
The derivative is
The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.
The slope of the normal line is the opposite reciprocal of the slope of the tangent line.
Using the Point-Slope form of a linear equation, the normal line is
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
2x+4y=0
3x+y=10
So what we want to do is get y onto one side by itself using whatever equation you like.
So I'm taking 2x+4y=0 and subtracting 4y from both sides
So we end up with
2x=4y
Divide both sides by four
2/4x is 1/2 x
So we get 1/2x=y
Take this and plug it into the other equation
3x+y=10
3x+1/2x=10
Add your like terms
3 1/2x=10
Putting 3 1/2 as a mixed number we get 7/2
So..
7/2x=10
Multiply by the opposite of 7/2 on both sides
Which is 2/7 this will cancel out the left side.
So we end up with
X= 10•2/7
X=20/7
Which is 2 and 6/7 as a mixed number.
Answer:
Step-by-step explanation:
we know that
In this problem we have
substitute the given value in the formula and solve for F
Answer:
it is more likely that both of the students will be boys because there are 14 boys and 8 girls. 14 is greater than 8. So, both of the students that are chosen will be boys,
