Answer:
100 Cos 40° + 100 Sin 40° ≈ 141 yards
Step-by-step explanation:
From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle
This means that;
Cos 40° = x/100
x = 100 Cos 40°
Sin 40° = y/100
y = 100 Sin 40°
Therefore, total distance walked = x + y
" = 100 Cos 40° + 100 Sin 40° ≈ 141 yards
Answer:
(a) The sampling distribution of
= Population mean = 79
(b) P ( greater than 81.2 ) = 0.1357
(c) P ( less than or equals 74.4 ) = .0107
(d) P (77.6 less than less than 83.2 ) = .7401
Step-by-step explanation:
Given -
Sample size ( n ) = 81
Population mean 
= 79
Standard deviation 
= 18
(a) Describe the sampling distribution of
For large sample using central limit theorem
the sampling distribution of = Population mean = 79
(b) What is Upper P ( greater than 81.2 ) =
= 
= 
= 
= 1 - .8643 =
= 0.1357
(c) What is Upper P ( less than or equals 74.4 ) =
= 
= 
= .0107
(d) What is Upper P (77.6 less than less than 83.2 ) =
= 
= 
= 
= 0.9821 - .2420
= 0.7401
Answer:
x=15
Step-by-step explanation:
21:2x=7:10 can be rewritten as 21/2x=7/10
21/2x=7/10, cross multiply
= 14x=210
x=15
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
A cause she measured the side of it
