Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol .
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:
In order to solve it, you must subtract 10 from both sides:
Plot this result on a number line.
Since the symbol of the inequality is , the dot must be filled (Observe the number line attached).
To find the slope, we must use the formula stated below.
Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)
Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.
I'll use the first coordinate as our #1.
(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer
Answer:
$7.56
Step-by-step explanation:
They sell it in $2.25 per kg
Hamburger: cost
1 kg : 2.25
3.4 : 7.56
1 x 3.4= 3.4
so, 2.25 x 3.4= 7.56
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%
It is close to 200 because 150 or above would be rounded to 200. Below 150 would be 100
