Answer:
240
Step-by-step explanation:
X is equal to 0.09375. X is equal to 1/16.
Answer:
The proportion of temperatures that lie within the given limits are 10.24%
Step-by-step explanation:
Solution:-
- Let X be a random variable that denotes the average city temperatures in the month of August.
- The random variable X is normally distributed with parameters:
mean ( u ) = 21.25
standard deviation ( σ ) = 2
- Express the distribution of X:
X ~ Norm ( u , σ^2 )
X ~ Norm ( 21.25 , 2^2 )
- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :
P ( 23.71 < X < 26.17 )
- We will standardize our limits i.e compute the Z-score values:
P ( (x1 - u) / σ < Z < (x2 - u) / σ )
P ( (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2 )
P ( 1.23 < Z < 2.46 ).
- Now use the standard normal distribution tables:
P ( 1.23 < Z < 2.46 ) = 0.1024
- The proportion of temperatures that lie within the given limits are 10.24%
Answer:
(5,4)
Step-by-step explanation:
multiply each equation by the value that makes the coefficients of x opposite
(-1) · (4x + 6y) = (-1) · 44
4x + 2y = 28
simplify
-4x - 6y = -44
4x + 2y = 28
add the two equations together to eliminate x from the system
-4x - 6y = -44
<u>+ 4x + 2y = 28</u>
-4y = -16
divide each term by -4
y = 4
substitute the value for y into one of the original equations, then solve for x
-4x - 6y = -44
-4x - 6(4) = -44
-4x - 24 = -44
+ 24 + 24
-4x = -20
divide by -4
x = 5
so, since x = 5 and y = 4 ....
the solution to the independent system of equations can be represented as a point.
(5,4)
hope this helps! :)
Answer:
What is part 1?
Step-by-step explanation:
