Answer:
5/136
Step-by-step explanation:
Probability is the chance of an event happening.
Probability = (Favorable outcome)/(total outcome)
P(r and n) = 2/17 × 5/16
=(2 × 5)/(17 × 16)
= 10/272
= 5/136
Answer:
Step-by-step explanation:
(3x + 8)
=(5x - 40)
Remove the brackets and replace 3x with -40 and -40 with 3x.
40 + 8
=5x - 3x (Remember that when you replace, the signs change from negative to positive and vise versa)
Solve for x. x= -24
Replace x with its value.
3(-24)+ 8= -64
5(-24) - 40= -160
Answer:
For a = 1.22 there is one solution where y = 1.3
Step-by-step explanation:
Hi there!
Let´s write the system of equations:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
-1.2(x-0.5) = 0
Let´s solve the second equation for x:
-1.2(x-0.5) = 0
x- 0.5 = 0
x = 0.5
Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0
a(-1) + 1.1 + 1.2(0.1) = 0
-a + 1.22 = 0
-a = -1.22
a = 1.22
Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:
1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0
0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0
-0.02y +0.026 = 0
-0.02y = -0.026
y = -0.026 / -0.02
y = 1.3
Then, the answer is correct.
Have a nice day!
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
