Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
What would be equal would be 6.60, because 100/5 is 20. So 3 times 20 is 60. Plus the six so 6+0.6 is 6.60.
(3/8)³ = (3/8)(3/8)(3/8)
Multiply across:
(3/8) x (3/8) = 9/64
Simplify:
(9/64)(3/8) = 27/512
27/512 is your fraction answer (cannot be reduced).
To find the decimal answer, divide:
27/512 = 0.05
0.05 (rounded) is your decimal answer
hope this helps
i did not mean to do this how do you delete
Answer:
1595.45 ft3
Step-by-step explanation:
The formula is (4/3) *3.14*r^3
since the diameter is 14.5, the radius is 7.25
(4/3) *3.14*(7.25^3)
