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!
Answer:
the smallest part is 2
Step-by-step explanation:
lets take x as the smallest part
then the largest part=3x
the middle sized part=2x
x+2x+3x=12
6x=12
x=12/6
x=2
therefore the smallest part is equal to 2
The equation would look like
Y=-4x+7
Y=mx+b
Answer:
16% = 73.6
Step-by-step explanation:
If 1% is = 4.6 then 16% is
1* 16 % = 4.6 * 16
16% = 73.6
Answer: it will take 576000 gallons to fill the lap pool.
Step-by-step explanation:
The formula for determining the volume of water in the rectangular pool is expressed as
Volume = length × width × height
The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is
Volume = 80 × 20 × 48 = 76800 cubic feet
1 cubic foot = 7.5 gallons
76800 cubic feet = 76800 × 7.5 = 576000 gallons