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hammer [34]
3 years ago
8

HELPPP

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0
Hope this helps you

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Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00deg
IrinaVladis [17]

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!

5 0
3 years ago
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent
katrin2010 [14]
A function rule could simply be: c = 420h , where c is the total number of calories burned and h is the number of hours riding at 15 mi/hr.

All you need to do is plug in the number of hours that he rode at this rate and multiply it by 420.
7 0
3 years ago
Read 2 more answers
Find an equation of the tangent line to the curve at the given point.y = 7x2 − x3, (1, 6)y = Correct: Your answer is correct. Il
Nady [450]

Answer:

  y = 11(x -1) +6

Step-by-step explanation:

The slope at the given point is ...

  y' = 14x -3x^2 = 14(1) -3(1^2) = 11

Then the point-slope equation for the line can be written as ...

  y = m(x -h) +k . . . . . . for slope m at point (h, k)

  y = 11(x -1) +6

7 0
3 years ago
A bottle can hold 2.75 liters of water. About how many gallons can the bottle hold? Round to the nearest hundredth.
Serjik [45]
1 gallon is equal to 3.78541 liters 
6 0
3 years ago
Read 2 more answers
The product of 5 and a number x is 1414 .
Julli [10]
5x = 1414
x = 1414 / 5
x = 282.80
4 0
3 years ago
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