Answer:
The value of x is 5
Step-by-step explanation:
In the given triangle
∵ A segment joining two points lie on the two side
∵ This segment is parallel to the third side
∴ This segment divides the two sides into parts that have the same ratio
→ That means x over 2x - 3 equal to 10 over 14
∵ 
= 
→ By using cross multiplication
∴ 10 × (2x - 3) = x × 14
∴ 10(2x) - 10(3) = 14x
∴ 20x - 30 = 14x
→ Add 30 to both sides
∵ 20x - 30 + 30 = 14x + 30
∴ 20x = 14x + 30
→ Subtract 14x from both sides
∵ 20x - 14x = 14x - 14x + 30
∴ 6x = 30
→ Divide both sides by 6
∴ x = 5
∴ The value of x is 5
You are looking for the perimeter of the pool. The perimeter of rectangles can be measured by using the formula 2W + 2L = P (2 * width + 2 * length = perimeter). Using the formula, 2(40) + 2(20) = P, 80 + 40 = P, P = 120. The answer is C. 120 yards.
Answer:
Step-by-step explanation:
Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = amount spent by the Canadian households.
u = mean amount spent monthly.
s = standard deviation
From the information given,
u = $80.63 CDN
s = $27.32 CDN
We want to find the probability that the average amount will exceed $85. It is expressed as
P(x greater than 85) = 1 - P(x lesser than or equal to 85)
For x = 85
z = (85 - 80)/27.32 = 0.18
Looking at the normal distribution table, the corresponding z score is 0.57142
P(x greater than 85) = 1 - 0.57142 = 0.43
