Answer:
A composite number is a number that can be divided evenly by more numbers than 1 and itself. It is the opposite of a prime number. The number 101 can be evenly divided by 1 and 101, with no remainder. Since 101 can be divided by just 1 and 101, it is not a composite number.
Answer:
Step-by-step explanation:
X = 10 → 2 nickels
P(1st Nickel) = 5/16
P(2nd Nickel) = 4/15
P(X = 10) = P(2 nickels) = (5/16)*(4/15) = 20/240 = 0.08333 (8.333%)
The probability of selecting 2 nickels ($0.10) is 0.08333.
X = 11 → dime and penny
P(Dime) = 3/16
P(Penny) = 8/15
P(X = 11) = P(Dime and Penny) = (3/16)*(8/15) = 24/240 = 0.1 (10%)
You could also choose penny first and then a dime. This will give you the same probability.
P(Penny) = 8/16
P(Dime) = 3/15
P(X = 11) = P(Penny and Dime) = (8/16)*(3/15) = 24/240 = 0.1 (10%)
P(Dime and Penny) + P(Penny and Dime) = 0.2 (20%)
The probability of selecting a dime and a penny no matter the order is 0.2.
Total Value = 8(0.01) + 5(0.05) + 3(0.10) = 0.08 + 0.25 + 0.30 = $0.63
There are a total of 16 coins and you selected 2 coins from the jar. So the probability of selecting 2 coins from the jar is 2/16 or 0.125.
E[X] = ($0.63)*(2/16) = $0.07875
The expected value is about 8 cents.
3/7 (0.428571) Miles on Monday
2/6 = 1/3 (.333333) Miles on Tuesday
Subtract both numbers
.428571 - .333333 +
[Answer]: 0.095238
or 2/21 More miles on Monday.
We will need to shade the region above f(x) and the region below the function g(x).
<h3>How to transform the graph into the solution set?</h3>
We have:
f(x) = x² - 2
g(x) = -x² + 5
Both of these are already graphed, and we want to transform it into:
y > f(x)
y ≤ g(x)
The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x).
For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve.
Learn more about inequalities on:
brainly.com/question/18881247
#SPJ1