Answer:
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Answer:
Step-by-step explanation:
Distance = speed × time
A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is
62 × 2.5 = 155 miles
Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is
57 × 2.5 = 142.5 miles
A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is
155 + 142.5 = 297.5 miles
The distance between both cars after two and a half hours is
725 - 297.5 = 427.5 miles
Answer: To use the Vertical Line Test, you draw a line parallel to the y-axis for any value of x and if the line intersects the curve graphed, then the curve is not a function. We use Vertical Line Tests to see if curves are functions.
Answer:
Length of the shadow of player's sister is 5.25 feet.
Step-by-step explanation:
From the figure attached,
AB represents the basketball player and DE is his little sister.
Height of basketball player = 6.5 ft
Length of shadow of the player = 9.75 ft
Height of player's sister = 3.5 ft
Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.


x = 
x = 5.25 ft
Therefore, length of the shadow of player's sister is 5.25 feet.