The amount of time to complete a physical activity in a PE class is approximately normally normally distributed with a mean of 38.1 seconds and a standard deviation of 7.6 seconds.
a) What is the probability that a randomly chosen student completes the activity in less than 33.9 seconds?
b) What is the probability that a randomly chosen student completes the activity in more than 47.1 seconds?
c) What proportion of students take between 33.8 and 42.9 seconds to complete the activity?
seconds.
d) 70% of all students finish the activity in less than

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

42.4

step-by-step explanation:

convert to decimal

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)