Answer:
x=1
Step-by-step explanation:
-5 - (15x-1) = 2(7x-16) -x
Distribute the negative sign
-5-15x+1 = 2(7x-16)-x
Distribute the 2
-5-15x+1 = 14x -32-x
Combine like terms
-4-15x = 13x-32
Add 15x to each side
-4-15x+15x = 13x+15x-32
-4 = 28x-32
Add 32 to each side
-4+32 = 28x-32+32
28 = 28x
Divide each side by 28
28/28 = 28x/28
1 =x
For this case, the first thing we must do is define variables.
We have then:
x: number of blue beads
y: number of red beads
We now write the inequations system:
Answer: a system of linear inequations that represents the situation is:
Answer:
Her average score is 150
Step-by-step explanation:
You add 175+142+133 and divide it by 3
To find mean or average you add up all the numbers and divide by how many numbers there are
Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7
Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.