Answer:
a = 17
Step-by-step explanation:
In the picture.
I hope that it's a clear solution.
Answer: 2.308 .
Step-by-step explanation:
Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.
Given:
Probability is 0.87 that there will be at least 15 earthquakes .
i.e.
Z-value corresponding to p-value 0.87 is -1.1263 .
So,
Hence, the required standard deviation = 2.308 .
Answer:
About 60.77 feet
Step-by-step explanation:
Attached pic.
Blue line is of Bethany
Green line is of Ben
Red line is the distance between them [what we are trying to find]
We can use pythagorean theorem that tells us:
Where c is the hypotenuse of the right triangle [red lines in both respective triangles]
and
a, b are the two other sides of the triangle
Left Triangle (using pythagorean theorem):
Base is 30
Left side is 20 - 10 = 10
So,
Right Triangle (using pythagorean theorem):
Distance between Bethany and Ben = 31.62 + 29.15 = 60.77 feet
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = = = ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5 → C
12 since 12 is not negative. All absolute values r positive