The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82

Answers

Answer 1

Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 0ºC, hence [tex]\mu = 0[/tex].The standard deviation is of 1ºC, hence [tex]\sigma = 1[/tex].

The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213


Related Questions

Which equation represents the function f(x) = (1. 6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1. 6)x 5 â’ 9 g(x) = (1. 6)x 5 9 g(x) = (1. 6)x â’ 9 5 g(x) = (1. 6)x 9 5.

Answers

The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;

g(x) = [(1.6)^(x - 9)] + 5

We are given the function;

f(x) = (1.6)^x

Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;

g(x) = (1.6)^(x - 9)

Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;

g(x) = [(1.6)^(x - 9)] + 5

Read more on translation of graphs at; https://brainly.com/question/11468584

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

if u can get a better picture I can help you

A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond for every $1 increase in price. For what prices can the manager predict that 60 hats will be sold?

Answers

Answer:

100-60=40

40/4=10

10*$1=$10

$12+$10=$22

simplify
answer it
b)​

Answers

Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Hope it helps you!

The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable

Answers

That looks so hard dude i feel bad-
Hdjdajahsidndisbaiwbtd

Why does demand for a product or service play a significant role in starting a new business?

Answers

Answer:

Basic economics like demand should important to you whether you run a seasonal business, buy a vacation property for passive income, or run a more traditional firm.

Juliet needs to rewrite 3 (x 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process? She could combine the x and 2 to get 3 (2 x) = 6 y. She could divide both sides by 3 to get x 2 = 2 y. She could distribute the 3 to get 3 x 2 = 6 y. She could subtract the 6y to get Negative 6 y = 3 (x 2).

Answers

The step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Note that the standard equation of a line in slope-intercept form is expressed as y = mx + b

m is the slopeb is the y-intercept

Given the function 3(x+2)=6y, for Juliet to write in slope-intercept form, the best approach is to first divide both equations by 6 as shown:

[tex]3(x+2)=6y \\\frac{3(x+2)}{6} =\frac{6y}{6} \\\frac{x+2}{6}=y[/tex]

Swap sides

[tex]y=\frac{x+2}{6}\\y=\frac{1}{6}x +\frac{1}{3}[/tex]

She could as well distribute the 3 over x + 2 to have:

3(x + 2) = 6y

3x + 3(2) = 6y

3x + 6 = 6y

Hence based on the option, the step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Learn more on distributive law here: https://brainly.com/question/25224410

Answer:

Its C

Nevermind Its Not its A or B

Step-by-step explanation:

:)

Helpppppppppp assssaaaap

Answers

Answer:  250

==================================================

Explanation:

x = speed of the plane in mph

x-180 = speed of the car, since its 180 mph slower than the plane

For the plane, we can form the equation

distance = rate*time

d = r*t

500 = xt

t = 500/x

For the car, we can say,

d = rt

140 = (x-180)t

140 = (x-180)*(500/x)

140x = 500(x-180)

140x = 500x - 90,000

140x - 500x = -90,000

-360x = -90,000

x = (-90,000)/(-360)

x = 250

The speed of the plane is 250 mph

-----------------------------

Extra info:

The car's speed is x-180 = 250-180 = 70 mph

It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.

how to find r in a geometric sequence calculator

Answers

Step-by-step explanation:

We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.

A motorcycle can run 108km in 2h20mn Find the average speed

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.

Answers

Answer:

What is the intrest for the 13th payment?

Answer:  What is the interset

Step-by-step explanation:

The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

Answers

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

[tex]Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}[/tex]

This gives

[tex]Rate = \frac{7.5}{6}[/tex]

Divide 7.5 by 6

[tex]Rate = 1.25[/tex]

There are 24 hours in a day.

So, the total snowfall is:

[tex]Total = Rate \times Hours[/tex]

This gives

[tex]Total = 1.25 \times 24[/tex]

Multiply

[tex]Total = 30[/tex]

Hence, the estimated total snowfall during the day is 30 inches

Read more about expected values at:

https://brainly.com/question/13005177

Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.

Answers

Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

s

(

s

a

)

(

s

b

)

(

s

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:

You must write your answer in fully simplified form.
8a= 5

Answers

Answer:

x = 5/8

Step-by-step explanation:

[tex]\frac{8x}{8} = \frac{5}{8}[/tex]

x=[tex]\frac{5}{8}[/tex]

What addition statement does this show?



A. 5.2 + 6.4 = –11.6
B. –5.2 + 6.4 = –11.6
C. 5.2 + (–6.4) = –11.6
D. –5.2 + (–6.4) = –11.6

Answers

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

nolan is taking a multiple choice test his grade is given by the equation y=70-2x where y represents his final score and x represents the number of questions he got wrong . waht could the number 70 represents in the equation? ​

Answers

Answer:

70 could represent the total number of points nolan can earn on the test

Step-by-step explanation:

for each fraction below find an equivalent fraction with a denominator 200.

fraction 14/25​

Answers

Answer:

112/200

Step-by-step explanation:

To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.

In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.

а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?​

Answers

The answer is Protein Bar A

Convert this improper fraction to a Mixed Number 40/10 plz i need help

Answers

Answer:

4

Step-by-step explanation:

How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.

Write an EQUATION with an undefined slope:

Answers

Answer:

Example of an equation with an undefined slope: x = 2

Step-by-step explanation:

Definitions

The standard form of linear equations with an undefined slope is x = a, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (a, 0).  

The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.  

Example:

For example, suppose that we have the following points (2, 5) (2, 10).

Let (x₁, y₁) = (2, 5)

     (x₂, y₂) = (2, 10)

Substitute these values into the slope formula:

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}[/tex]

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.

Thus, the equation of the vertical line will be: x = 2, where a = 2.

please answer!!!!!!!!!​

Answers

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

It should be C. The graph is being stretched by a factor of 5.

I think this image demonstrates this concept the best.

Here’s a link to a site that has a better explanation: https://courses.lumenlearning.com/waymakercollegealgebra/chapter/compressions-and-stretches/

So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
| 0
2

Answers

Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!

Which number is an integer? Negative three-fourths 0 2. 3 Pi.

Answers

The number that is an integer is 0.

An integer is a number that does not have fractions or decimals. Examples of integers are 50, - 1. A fraction is a number that is made up of numerators and denominators. An example is 3/4. A decimal is made up of tenths, hundredths and thousandths. An example is 2.3.

Negative three-fourths is not an integer because it is a fraction. 2.3 and pi  is not an integer because it is a decimal.

A similar question was answered here: https://brainly.com/question/15984496

To reach the roof , how far away from the building should he place the base of the ladder ?

Answers

Answer: many be 5-10 feet

How do I factor this problem?

Answers

Answer = 16x(3x-1) . Hope it helps.

List the factors for 48 and -16 and find the greatest common factor .

48= 1 ,48

2, 24

4, 12

6, 8

16 = 1,16

2,8

4, 4

The Greatest common factor between these two is 8. Because they have a 8 in common.

8(6x^2-2x)

plz help me find this answer offering 10 points for a answer !!

Answers

6a and 8a 4b and 2b. hope this helps

PLS HELP ME I DON'T GET IT

Answers

Answer:

  (a) $14,912 saved

  (b) $58,000 aid needed

Step-by-step explanation:

(a)

Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:

  60 × $200 = $12,000

When she adds that to her current savings she will have saved a total of ...

  $12,000 +2,912 = $14,912 . . . by the time she starts college

__

(b)

The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...

  $72,912 -14,912 = $58,000 . . . . amount of financial aid needed

Lily has 7 fewer ribbons than Dora. Lily has 13 ribbons. How many ribbons does Dora have?

Answers

Answer: 6

Step-by-step explanation:

13-7=6

BRAINLIEST
Do one of the above and show your work

Answers

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

a quter of 30 is=
pleas help

Answers

Answer:

7.5

Step-by-step explanation:

If 'quter' is quarter, then 30(1/4) is 7.5

A quarter of 30 is 7.5

All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.

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