From the given data:<span> vertex at the origin and a focus at (0, 9), the parabola should be facing upwards. In this case, the length of the latus rectum is 9 units which is a. Hence the equation becomes y = 4 (9) x^2. The equation is equal to y = 36 x^2. The standard form is 36 x^2 - y = 0.</span>
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 is length * width * height. Length * width is 4 * 5 or 20, so we have that 20 * height = 200. Divide by 20 to get height = 10.
You are right on the question
