Answer:
probability = 0.9286
Step-by-step explanation:
given data
mean = $8.30
standard deviation = $4.70
waits parties over a weekend of work = 60
solution
when we earn at least $550 in 60 parties
so average per party will be x =
average x = 9.1667
so now we get here z value that is
...............1
put here value and we get
z =
z = 0.184404
so
P(x>9.1667) = P(z>0.184404)
use standard normal table
probability = 1 - 0.0714 = 0.9286
The speed of the commute would be approximately 34.166 repeating.
Answer:
y = -1/4 x + 15.
Step-by-step explanation:
y = 4x - 2 has a slope of 4 ( = the coefficient of x).
The line at right angles to it will therefore of a slope of -1/4.
Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:
y - 14 = -1/4(x - 4)
y = -1/4x + 1 + 14
y = -1/4x + 15
Answer:
x-intercept: <u>(1,0)</u>
y-intercept: <u>(0,1)</u>
Step-by-step explanation:
Given: Find the x and y intercepts of 2x + 2y = 2
<h2><u>X-intercept</u></h2>
To solve for a x - intercept we have to substitue 0 in for y and solve for 
Lets do it:
2x + 2(0) = 2
2x + 0 = 2
2x = 2
x = 1
Therefore, this means that when y = 0, x = 1 or (1,0)
<h2><u>Y-intercept</u></h2>
To solve for a y - intercept we have to substitue 0 in for x and solve for 
Lets do it:
2(0) + 2y = 2
0 + 2y = 2
2y = 2
y = 1
Therefore, this means that when x = 0, y = 1 or (0,1)
Answer:
Exponential Function: 
Balance after
t=1 $ 13,524.32
t=2 $ 14,374.99
t=5 $ 17,261.69
t=10 $ 23,417.64
Step-by-step explanation:
Formula used to find amount in the account after time t, given the interest rate is compounded continuously

where: P= principal amount or amount invested
r= interest rate
t= time
A= amount after time t
in our question we are given:
P=$12,724
r= 6.1% or 0.061

The above equation is exponential function that describes the amount in the account after time t in years
Now, for t = 1

A= $ 13,524.32
t=2

A= $ 14,374.99
t= 5

A= $ 17,261.69
t=10

A= $ 23,417.64