Answer:
<u>The height of the tree is √65 or 8.06 feet</u>
Step-by-step explanation:
Let's use the Pythagorean theorem to find out the height of the tree, this way:
Hypotenuse = length of the ladder = 9 feet
Leg 1 = Distance from the base of the tree to bottom of the ladder = 4 feet
Leg 2 = Height of the tree
Now, replacing with the real values we have:
Leg 2 ² = Hypotenuse² - Leg 1²
Leg 2² = 9² - 4²
Leg 2² = 81 - 16
Leg 2² = 65
√Leg 2² = √65
Leg 2 = √65 or 8.06 feet
<u>The height of the tree is √65 or 8.06 feet</u>
Answer: The required lifetime value is 11.27.
Step-by-step explanation:
Since we have given that
Mean value = 11 hours
Standard deviation = 1 hour
The total lifetime of all batteries in a package exceeds that value for only 5% of all packages.
So, α = 0.95, z= 1.645
n = 9
So, the lifetime value would be

Hence, the required lifetime value is 11.27.
24.4% = 24.4/100 = 0.244
You can put it over 100 because all percents are over 100.
Hope I Helped!
The answers is 2:10 or 2/10
Answer:
B=-5
Step-by-step explanation:
Slope=rise/run
The line passes in
P1(-1,3)
and
P2(0,-2)
So slope=(3-(-2))/(-1-0)=5/-1=-5