Answer:
The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225
x = √1225
x = 35 ft
Answer: 0.4758
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Also, the new population of pilots has normally distributed .
The formula to calculate the z-score :-

For x=130 lb .

For x=171lb.

The p-value =

Hence, the required probability : 0.4758
Answer:
she has 40 times as many
Step-by-step explanation:
Answer:
7 5/12
Step-by-step explanation:
3+2=6
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 6= 7 5/12