Answer:
25
Step-by-step explanation:
"y varies inversely with x" means:
y = k / x
where k is a constant.
When x = 5, y = 10.
10 = k / 5
k = 50
y = 50 / x
When x = 2:
y = 50 / 2
y = 25
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So

0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So

0.4 = 40% probability of a tip of up to $50.
Answer:
314 square feet
Step-by-step explanation:
we know that
The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet
so
The area of a quarter circle is

we have


substitute

Answer:
see consider there are three angle 80 and x and 45(the measure of line is 180 so subtract 180 by 125 u will get 45) now measure of angle is 180 soo the value of x is 55degree so value of x is equal to that of z therefore value of z also 55 degree
Answer:
The expected value of playing the game is $0.75.
Step-by-step explanation:
The expected value of a random variable is the weighted average of the random variable.
The formula to compute the expected value of a random variable <em>X</em> is:

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.
The probability distribution of <em>X</em> is as follows:
Number on spinner: 1 2 3 4 5 6
Amount earned (<em>X</em>): $1 $4 $7 $10 -$8.75 -$8.75
Probability: 1/6 1/6 1/6 1/6 1/6 1/6
Compute the expected value of <em>X</em> as follows:





Thus, the expected value of playing the game is $0.75.