Answer:
168.7602 miles
Step-by-step explanation:
One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.
The equation for the listening radius (the radio station is at (0,0)):
The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):
Substitutes the value of y in the equation of the circle:
The formula to solve second-degree equations:
Using the values in x to find the values in y:
The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :
This problem is proportional! for every 1 second 12.5 jellybeans are made!
The margin of error can be calculated with the formula:
ME = z · √(p(1-p)/n)
where:
p = sample proportion
n = sample size
z = z-score
In your case:
p = 90 / 120 = 0.75
ME = 2.58 · √(0.75·0.25/120)
= 0.10
= 10%
The margin of error will be 10%.
Answer:
The guinea pig is 210 mm longer than Naomi's fish
or
The guinea pig is 21 cm longer than Naomi's fish
Step-by-step explanation:
Remember that
1 cm=10 mm
<u><em>Convert cm to mm</em></u>
guinea pig ------> 25 cm=25*10=250 mm
Subtract the length of Naomi's fish from the length of her guinea pig
so
250-40=210 mm
<u><em>Convert to cm</em></u>
210 mm=210/10=21 cm
To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.
For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.
Simplify by evaluating the coefficients and powers of 3.
