Complete Questions:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.
a. 40
b. 48
c. 56
d. 64
Answer:
a. 0.35
b. 0.43
c. 0.49
d. 0.54
Step-by-step explanation:
(a)
The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.
Let s be the sample space of all integer not exceeding 40.
The total number of ways to select 6 numbers from 40 is 
.
Let E be the event of selecting none of the correct six integers.
The total number of ways to select the 6 incorrect numbers from 34 numbers is:
Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is
Therefore, the probability is 0.35
Check the attached files for additionals
Answer:
My favorite color is aqua and pink
Step-by-step explanation:
Answer: 80 ounces of yellow paint
Working:
As we know 2 ounces of yellow paint to 5 ounces of red paint, we can make a ratio:
2:5
Then we look at the question which says 200 ounces of red paint, so we replace the 5 ounces of red paint in the ratio with 200.
2:200
Then we figure out how much the 5 has been multiplied by to get to 200. We do this by doing
200 divide 5 = 40
Therefore we times the 2 ounces of yellow paint by 40 which gets us:
80:200
We can think of it as a fraction too to confirm our answer:
Simplify 80 / 200
We get 2 / 5.
If you need me to further explain something please just ask :)
Answer:
x=0.00784
Step-by-step explanation:
Just general definitons:
a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)
the degree is the highest exponent found in the algebraic expression
so they should be pretty easy to solve with that information, but just in case:
1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2
for the final question, all you have to do is plug in 2 for x, so
(2)^2 - 2(2) + 1
4 - 4 + 1
so the answer is 1
