Answer:
Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 
. The total distance of his legs from the floor is then:
This distance cannot reach or exceed 74.5 cm, thus
Solving for r
Or, equivalently
Hello,
The formula for finding the circumference of a circle is
where r is the radius. SO we can plug 4 in for r in this formula because 4 is the radius:
. We are told to use 3.14 for
so we get
. Therefore, the circumference is 25.12 meters.
Answer:
addition property of equality
Step-by-step explanation:
Given the equation 4(x-5) = -12
Expand
4x - 20 = -12
Add 20 to both sides (addition property of equality)
4x-20+20 = -12+20
4x = 8
x = 8/4
x = 2
Hence the value of x is 2
The justification for step 2 is addition property of equality
We have given the table of number of male and female contestants who did and did not win prize
The probability that a randomly selected contestant won prize given that contestant was female is
P(contestant won prize / Contestant was female)
Here we will use conditional probability formula
P(A/B) = 
Let Event A = selected contestant won prize and
event B = selected contestant is famale
Then numerator entity will
P(A and B) = P(Contestant won prize and Contestant is female)
= Number of female contestant who won prize / Total number of contestant
= 3 /(4+9+3+10)
= 3 / 26
P(A and B) = 0.1153
P(B) = P(contestant is female )
= Number of female contestant / Total number of contestants
= (3+10) / 26
P(B) = 0.5
Now P(A / B) =
= 0.1153 / 0.5
P(A / B) = 0.2306
The probability that randomly selected contestant won prize given that contestant is female is 0.2306
Converting probability into percentage 23.06%
The percentage that randomly selected contestant won prize given that contestant is female is 23%
Answer:
45
Step-by-step explanation:
9, 13, 17, 21, 25
We are adding 4 each time
9+4 = 13
13+4 =17
17+4 = 21
The common difference =4
a1 = 9
The formula is
an = a1+d(n-1) where n is the term number
an = 9+4(n-1)
We want the 10th term
a10 = 9+4(10-1)
= 9+4(9)
= 9+36
= 45
