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!
The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm^3.
<h3>
How to get the volume of a sphere?</h3>
The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
V = (4/3)*3.14*R^3
In this case, the radius is 12cm, replacing that we get:
V = (4/3)*3.14*(12cm)^3 = 7,234.56 cm^3
Then, to fully inflate the ball, we need 7,234.56 cm^3 of air.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
f^-1(x) = -1/8x +1/4
Step-by-step explanation:
To find the inverse of a function
Exchange x and y and then solve for y
y =-8x+2
Exchange x and y
x = -8y+2
Now solve for y
Subtract 2 from each side
x-2 = -8y+2-2
x-2 = -8y
Divide by -8
(x-2)/-8 = -8y/-8
Distribute
-1/8x +1/4 = y
f^-1(x) = -1/8x +1/4
Answer:
they are subtracting 6 from each number
Answer:
0.375
Step-by-step explanation:
go on google and search up "45 divided by 120" then you should have your answer lol
