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%
Length of the cylinder = 84.5 cm
Diameter of the cylinder = 2.40 cm
The circumference is
π(2.40 cm) = 2.4π cm.
The area is
A = (2.4π cm)*(84.5 cm) = 637.1 cm²
Answer: a. 637 cm²
Answer:
57
Step-by-step explanation:
7 times 7 or 7 to the power of 2 is 49 plus 7 is 56 and then plus 1 makes that 57
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
Answer:
x can be any value, x will be the input, y will be the output.
Step-by-step explanation:
If x = 3, If x = 6, If x = 9,
y = 5x - 4
y = 5 (3, 6, or 9) - 4
y = 11, y = 26, y = 41.
These are all possible sets of ordered pairs, but ANY Real number can be represented as X, and it will need to be in an order. These numbers are all positive, so in this case, you just have to draw out Quadrant 1 in a Coor. Plane.
<u>X (Input) I Y (Output)</u>
3 I 11
6 I 26
9 I 41
See, when x increases by 3, Y increases by 15. If you go on, it will be the same path, same pattern.
Hope This Helps! :)
