Answer: Our required probability is 0.65.
Step-by-step explanation:
Since we have given that
18-20 Not 18-20 Total
Male 0.23 0.35 0.58
Female 0.16 0.26 0.42
Total 0.39 0.61 1
P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)
P(female or between 18-20) = 0.42+0.39-0.16
P(female or between 18-20) = 0.65
Hence, our required probability is 0.65.
Answer:
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Step-by-step explanation:
we have

This is a vertical parabola open downward
The vertex is a maximum
Find the vertex
step 1
Factor the leading coefficient -4

step 2
Complete the square

step 3


step 4
Rewrite as perfect squares

the vertex is the point (1,-21)
so
The maximum value of the quadratic equation is (1,-21)
therefore
Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x
Answer:
1 and 3/8 of pizza
Step-by-step explanation:
5/8 + 3/4
3/4 x 2 to get the same denominator as 5/8
5/8 + 6/8 = 11/8
11/8 = 1 3/8
Aaa^3bxa^2b^3abx^4
=aaa^3a^2abb^3bxx^4
=a^(1+1+3+2+1)b^(1+3+1)x^(1+4)
=a^8^b^5x^5
Answer: The average number of hours she danced per day is 1.9 hours (rounded to the nearest tenth)
Step-by-step explanation: We start by calculating how many hours she danced all together which can be derived as follows;
Summation = 3 +2 +2 + 1 + 1.5 + 2 = 11.5
The number of days she danced which is the observed data is 6 days (she did not dance at all on Wednesday).
The average (or mean) hours she danced each day can be calculated as
Average = ∑x ÷ x
Where ∑x is the summation of all data and x is number of observed data
Average = (3+2+2+1+1.5+2) ÷ 6
Average = 11.5 ÷ 6
Average = 1.9166
Approximately, average hours danced is 1.9 hours (to the nearest tenth)