22.5 miles
You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
Answer:
Step-by-step explanation:
(3x + 6)° = 78°
3x = 72°
x = 24°
z = 180° - 78° = 102°
Feel free to change it up a little.
Sam and his friend went out for pancakes. They ordered a huge stack of pancakes but the waitress didn't give them enough maple syrup. Sam got 1/5 of a cup of syrup and his friend got 1/2 of a cup. If they wanted a lot of syrup, they would have to combine their cup of syrup.
How much syrup would they have if they combined their cups of syrup?
Now solve.
First, find the common denominator
10 is the common denominator
1/5=2/10 1/2=5/10
2/10+5/10=7/10
Sam and his friend has 7/10 cups of syrup, now they have enough and are satisfied
