Answer:
y= 9x+55
4
Step-by-step explanation:
if 9x+42=4y-13
9x+42+13=4y
y= 9x+55
4
of each event.
a. Rolling a number less than 9
b.rolling a multiple of 3
c.rollinh a number grrater than 6
The probability of rolling a number less than 9 is P ( A ) = 2/3
The probability of rolling a multiple of 3 is P ( B ) = 1/3
The probability of rolling a number greater than 6 is P ( A ) = 1/2
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
a)
Rolling a number less than 9
There are 8 numbers less than 9 on the dodecahedron (1, 2, 3, 4, 5, 6, 7, and 8), out of a total of 12 numbers. So the probability of rolling a number less than 9 is:
P(rolling a number less than 9) = 8/12 = 2/3
The likelihood of rolling a number less than 9 is relatively high, as 2 out of every 3 rolls will result in a number less than 9.
Therefore , the probability is P ( A ) = 2/3
b)
Rolling a multiple of 3
There are 4 multiples of 3 on the dodecahedron (3, 6, 9, and 12), out of a total of 12 numbers. So the probability of rolling a multiple of 3 is:
P(rolling a multiple of 3) = 4/12 = 1/3
The likelihood of rolling a multiple of 3 is moderate, as only 1 out of every 3 rolls will result in a multiple of 3.
Therefore , the probability is P ( B ) = 1/3
c)
Rolling a number greater than 6
There are 6 numbers greater than 6 on the dodecahedron (7, 8, 9, 10, 11, and 12), out of a total of 12 numbers. So the probability of rolling a number greater than 6 is:
P(rolling a number greater than 6) = 6/12 = 1/2
The likelihood of rolling a number greater than 6 is relatively high, as 1 out of every 2 rolls will result in a number greater than 6.
Therefore , the probability is P ( C ) = 1/2
Hence , the probability is solved
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Answer:
a = 8/12 (2/3)
b = 4/12 (1/3)
c = 6/12 (1/2)
Step-by-step explanation:
a= 1-8 = 8 numbers less than 9
b= 3,6,9,12 = 4 numbers multiple of 3
c = 7-12 = 6 numbers higher than 7
Use substitution to solve the linear system of equations and
determine how many chickens, x, and pigs, y there are.
Express the solution as an ordered pair (x,y).
Answer:
(6, 7)
Step-by-step explanation:
x+y= 13
2x+4y= 40 ⇒ x+2y = 20 ⇒ 13-y +2y= 20 ⇒ y= 20-13= 7
x= 13-y= 13-7= 6
chickens= 6
pigs= 7
To solve the problem, set up a system of equations using the given information. Solve one equation for a variable and substitute it into the other equation to find the values of the variables. Determine the number of chickens and pigs in the barn. The solution is (6, 7).
To solve this problem, we can set up a system of equations based on the given information. Let x represent the number of chickens and y represent the number of pigs. From the information given, we can write two equations: x + y = 13 (equation 1) and 2x + 4y = 40 (equation 2).
Using substitution, we can solve equation 1 for x and substitute it into equation 2:
Equation 1:
x + y = 13
x = 13 - y
Equation 2:
2(13 - y) + 4y = 40
26 - 2y + 4y = 40
2y = 14
y = 7
Now, substitute the value of y back into equation 1 to find x:
x + 7 = 13
x = 6
Therefore, there are 6 chickens and 7 pigs in the barn, which can be expressed as the ordered pair (6, 7).
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Answer:8 months
Step-by-step explanation:8x1= 8 8x2=16 8x3= 24 8x4= 32 8x5= 40 8x6= 48 8x7= 56 and 8x8= 64 Remember, it said “ at least”