Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:
1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55
A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:
78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23
A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:
99.7% of people.
Answer:
Step-by-step explanation:
pythagorean theorem. a^2+b^2=c^2
1.5^2+b^2=6^2
2.25+b^2=12
12-2.25=b^2
b^2=9.75
take the square root
b=3.12
Answer:
x = -4
Step-by-step explanation:
Plug in -4 into the function and solve for x:
f(x) = 6x + 20
-4 = 6x + 20
-24 = 6x
-4 = x
So, the answer is x = -4
Answer:
A) is actually 10 1/3 B) is 5 14/15
Step-by-step explanation:
Please Mark Brainliest if i get the correct answer. 100% sure the answer is right . adn i use a calculator soup
You can answer this by using Pythagoras theorem. Okay, let me draw this first.
2 miles
V
________________________
| |
| |
| | << 1.5 miles
|_______________________|
^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.
So, to get the shortest distance, let's cut out a triangle from the rectangle.
/|
/ |
/ |
What we want to find is this one > / | << 2 miles
/ |
/______|
^ 1.5 miles (I know the size is not logical,but imagine it please)
So to get the diagonal length =
=
= 2.5 miles
To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
= 3.5 miles - 2.5 miles
= 1.0 miles
Hope this help !
