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

help please RSM problem -need anwser please

Answers

Answer:

1/8 + 1/4 = 3/8

Step-by-step explanation:

Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?

Answers

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues. How much will a member pay if they attend 15 dances during the school year.

Answers

Answer:

$110

Step-by-step explanation:

So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.

15*4=$60

However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.

A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

Write the slope-intercept form of the equation of the line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

Ferris wheel makes 6 revolutions per ride. It
has a diameter of 45 feet. How far would someone
travel during one ride?

Answers

Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay

will mark brainliest help

Answers

Answer:

1 = 8 and 50

2= 50 and a

Step-by-step explanation:

A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is
1
4
, and the probability of picking a dime is
1
3
. What is the probability of picking a nickel?

Answers

Answer:

1

3  maybe

Step-by-step explanation:

6 pounds of candy cost 22.44. What is the cost of one pound

Answers

Answer:

$3.74

Step-by-step explanation:

Proportions:

6 pounds ⇔ $22.44

1 pound ⇔ $ C

C = 22.44*1/6

C = $3.74

Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA

Answers

SAS Because order will always matter and in this case the order will result in Side Angle Side Congruence Theorem

a swimming pool is drained at a rate of 50 gallons per hour. How many pints per minute is this?

Answers

Answer:

8

Step-by-step explanation:

please help me Simplify (4m3)2.

Answers

Answer:The simplified form of (4m3)2 is 24m.Step-by-step explanation:(4m3)2=> 4 x m x 3 x 2=> 24mConclusion:

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

How many students answered exactly two questions incorrectly

Answers

Step-by-step explanation:

you didn't post the questions yk?!

Which correlation coefficient best matches the graph?

Answers

Answer:

c)

Step-by-step explanation:

the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.

x²+1=2x
hope someone can help thanks!​

Answers

Answer:

I think it’s x=1

Answer:

Step-by-step explanation:

x^2 + 1 = 2x

x^2 - 2x + 1 = 0

Factor (x - 1) ( x - 1)

x = 1

36in rounded to the nearest tenth for circumference

Answers

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number. ​

Answers

Answer:

5 chairs

Step-by-step explanation:

then you'd get 5 so the answer is 5.

Just divide 5/6 / 1/6,

Answer:

5

Step-by-step explanation:

This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;

This is an equation, which can be rearranged to give:

Number of chairs painted = total paint used/paint needed per chair

Total paint used = ⅚

Paint needed per chair = ⅙

Therefore:

Number of chairs painted = (⅚)/(⅙)

Number of chairs painted = ⅚ × 6

Number of chairs painted = 5

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run to finish the race?

Answers

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

Total distance = 13.5 kmSpeed = [tex]8\frac{2}{5} \;km/hr[/tex]Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

[tex]Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}[/tex]

Distance = 12.6 meters.

For the distance left:

[tex]Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6[/tex]

Distance left = 0.9 km.

Learn more about distance here: https://brainly.com/question/10545161

How many 1/6's are in 45/2

Answers

The answer is: 135/1

HELP ASAPPPPPPPPPPPPPPPPP

Answers

Answer:

b. Kilograms

Step-by-step explanation:

B) Kilograms is the answer

X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?

Answers

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

[tex]x-y=2[/tex]

And move y to the other side to isolate x:

[tex]x=2+y[/tex]

Now we can replace x into the first equation:

[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]

Notice that we can cancel out the y squared terms:

[tex]4+4y=48\\ 4y=44\\ y=11[/tex]

Now we just need to find x by replacing y into the second equation:

[tex]x-11=2\\ x=13[/tex]

And finally, add them:

[tex]x+y=11+13\\ x+y=24[/tex]

Hope this helps.

Answer:

x= 13

y=11

x^2 - y^2 = 48        and       x - y = 2

                                           x = 2 + y

(2 + y)^2 - y^2 = 48

(2 + y) (2 + y) - y^2 = 4

(4 + 2y +2y + y^2) -y^2 = 48

4 + 4y + y^2 - y^2 = 48

4 + 4y = 48

4y = 48 -4

4y = 44

y= 44/4

y= 11

Plug y back into the original equation:

x^2 - y^2 = 48

x^2 - 11^2 = 48

x^2 - 121 = 48

x^2 = 121 + 48

x^2 = 169

The square root of 169 is 13

So x= 13

x + y

13 + 11 = 24

What is this expression translated into words?

2n + 1

a
one plus 2 divided by a number n
b
2 times 1 added to a number n
c
two times a number n added to one

Answers

Answer:

C. two times a number n added to one

It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to school?
____ minutes
WARNING GIVE A DETAILED ANSWER

Answers

20 x .80 = 16 minutes

Time required to walk to school is,  t=20 mins

Since, Andre takes 80% of time required to walk to school. Which means

Time taken by Andre = 80% of 20 minutes

t-80/100x20

t=16 minutes

Andre takes 16 minutes to walk to school.

p.s you can be rude and take the points to my question idc Imma be nice and help you

pleeeeease help meeeeeee

Answers

Answer:

  y = 5x +7

Step-by-step explanation:

Using the hint, we have ...

  y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)

  y = 5x +10 -3 . . . . . eliminate parentheses, add -3

  y = 5x +7

A triangle has sides measuring 5 inches and 8 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5 B. 3 O C. 55x58
D. 35xs13

Answers

Answer:

For me,the answer will be A.

im not sure

correct me if im wrong

love ya

Answer:

B

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

8 - 5 < x < 8 + 5 , then

3 < x < 13 → B

-hello10olleh (hello)

Answers

Answer: The slope of the line is b. 3

Answer:b

Step-by-step explanation:

a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?

Answers

Answer:

Sale price is [tex]15.2\$[/tex]

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]

Suppose your family buys a "movie card" from a DVD

store that entitles you to rent 25 movies. You rent 3

movies per week.

Model the situation with a linear function.

Answers

y = 3x + 25, because I’m assuming that that you start by renting 25 movies.

The function that models this given situation is 3x = 25.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.

Assuming no. of weeks to be x, therefore i can watch movies for

3x = 25 weeks at 3 movies rented each week.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ5

In a bag there are pink buttons, yellow buttons and blue buttons.
There are five times as many pink buttons as yellow buttons.
number of yellow buttons : number of blue buttons = 4 : 7

One button is selected at random.
Work out the probability that the button is either pink or blue.
Give your answer as a fraction in its simplest form.

Answers

Answer:

27/31

Step-by-step explanation:

5pink : 1yellow

4yellow : 7blue

times the first ratio by 4 so that the yellows are equal (if that makes sense)  

20pink : 4yellow : 7blue = 31 buttons

so the total is 31 buttons alltogether

and the pink and blue buttons together = 27 buttons

so 27/31 is the probability the button is pink or blue

The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of​ m?

Answers

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3

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