Answer:
Step-by-step explanation:
Hello!
The variable of interest is the readings on thermometers. This variable is normally distributed with mean μ= 0 degrees C and standard deviation σ= 1.00 degrees C.
The objective is to find the readings that are in the top 3.3% of the distribution and the lowest 3.3% of the distribution.
Symbolically:
The lower value P(X≤a)=0.033
Top value P(X≥b)=0.033
(see attachment)
Lower value:
The accumulated probability until "a" is 0.03, since the variable has a normal distribution, to reach the value of temperature that has the lowest 3.3%, you have to work under the standard normal distribution.
First we look the Z value corresponding to 0.033 of probability:
Z= -1.838
Now you reverste the standardization using the formula Z= (a-μ)/δ
a= (Z*δ)+μ
a= (-1.838*1)+0
a= -1.838
Top value:
P(X≥b)=0.033
This value has 0.033 of the distribution above it then 1 - 0.033= 0.967
is below it.
You can rewrite the expression as:
P(X≤b)=0.967
Now you have to look the value of Z that corresponds to 0.967 of accumulated probability:
b= (Z*δ)+μ
b= (1.838*1)+0
b= 1.838
The cutoff values that separates rejected thermometers from the others are -1.838 and 1.838 degrees C.
I hope it helps!
Helium if I was you I would have chooses helium haha
Laura paddles in her canoe at a speed of 5 mph for 5 miles.
As we know that

Substitute the values we get

Laura hops on her windsurfer and sails for 12 miles at a speed of 6 mph.
Again using the above formula we can write

Hence from equation (i) and (ii), we can say total time of travel
Bulletin boards can be in all shapes and sizes. There is no correct or incorrect answer to this problem.
Answer:
Option D: 6:12 is correct answer.
Step-by-step explanation:
We can find the simplest form of ratio to compare it with the given ratios.
According to given statement,
The ratio is:

Now we will check if the given options can be simplified to 1:2
So,
Option A:

Option B:

Option C:

Option D:

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.
Hence,
Option D: 6:12 is correct answer.