Answer:
No (1,8) is not a solution to 19x+3y=2.
However, (1,8) is a solution to 3x+y=11.
Step-by-step explanation:
(1,8)
The one represents the x shown in each equation, the eight represents the y.
Substitute the one in for the x and the eight in for the y.
19x+3y=2
19(1)+3(8)
3x+y=11
3(1)+(8)
Next, solve the equation.
19(1)+3(8) = 43
3(1)+(8) = 11
As you can see, 43 does not equal 2.
But, 11 does equal 11.
Answer:
187
Step-by-step explanation:
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
7>x>1
7 is greater than x, and x is greater than one
OR
1one is less than x, x is less than 7
If the shapes are similar, the correspondent sides are in proportion:
Let's plug the values and solve for x:
Multiply both sides by x to get
The only feasible solution, though, is 
, because it wouldn't make sense to have negative lengths.
