Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
Answer:
Step-by-step explanation:
The question in text and on the picture are different.
Going by picture.
When stating the congruence, it is important to stick to right order of vertices.
The first triangle is ΔCBA
<u>Corresponding angles are:</u>
- ∠C ≅ ∠D, ∠B ≅ ∠E, ∠A ≅ ∠ F
<u>Therefore the second triangle is:</u>
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
4/1 is the same as 4.
So 4+3/4= 4 and 3/4
<u>Final Answer</u>= 4 and 3/4
Answer:
Volume= base*height*length; Volume= 24*9*24; Volume= 5,184 square feet
Step-by-step explanation:
The lenghth of the square is 24 feet which makes the base 24 since it is a square. So, you just have to multiply 24*24*9 to get the total volume.
