The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?

Answers

Answer 1

Answer:

The value is  [tex]E(X) = 4 \ days[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 36^oC[/tex]

    The standard deviation [tex]\sigma = 3^oC[/tex]

Generally the probability that in June , the midday  temperature is between  

39°C and 42°C is mathematically represented as

      [tex]P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex]P(39 < X < 42) = P(1 < Z <2 )[/tex]

=>   [tex]P(39 < X < 42) = P(Z < 2) - P( Z <1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  2  is

     P(Z   < 2)  = 0.97725

and

    P(Z   < 1)  = 0.84134

    [tex]P(39 < X < 42) = 0.97725 - 0.84134[/tex]

=>  [tex]P(39 < X < 42) = 0.13591[/tex]

Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C

      [tex]E(X) = n * P(39 < X 42 )[/tex]

Here n is the number of days in June which is  n = 30

       [tex]E(X) = 30 * 0.13591[/tex]

=>    [tex]E(X) = 4 \ days[/tex]


Related Questions

What is happening to this graph when the rvalues are
between - 1 and 1?

Answers

Answer:

Where's The graph?

Step-by-step explanation:

Answer:

There is no graph post the graph

Step-by-step explanation:

Which of the following quantities are continuous ?

Answers

Answer: A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's the divisible unit.

The number of books and bracelets also discrete, thus the answer is A.

I am trying to be a​

Answers

Yes, X will equal 44

0.09 divided by 0.81

Answers

Answer:

9

Step-by-step explanation:

Basically just remove the decimals and do 81/9 and you will get nine

You can remove the decimals because you are dividing which means that either way, you will get the same answer

the answer is 9 hope this helps

WILL GIVE 25 POINTS PLEASE HELP

Answers

Answer:

A: rising B: falling C: falling D: falling

Step-by-step explanation:

i think its correct i might be wrong

Can you guess my number?
I am thinking of a number less than 91/2.Write down at least 3 choices of
what my number could possibly be.

Answers

Answer:

47 77 85

EXPLANATION


Jessica has 3 cards in a bag,each marked with a letter. The letters are X, Y, and Z. Without looking, she reaches into the
bag, pulls out a
card, and then puts the card back in the bag. If Jessica does this 3 times, what is the probability she pulls out the X card first, then the Y
card, and then the Z card? In a fraction

Answers

Answer:

Step-by-step explanation: It’s 3/7, 1/27, 3/20 idk which one tho :(

2/9 of my number is 4. what is my number?

Be the brainy one ny answerinng the question OK?

Answers

18 should be your number

Assume that process that makes the parts can be altered to adjust the overall mean of the reflectiveness score. Also assume that if an individual part has a score less than 85, then the part is given a passing quality score. The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:______

a. greater than 80
b. less than 80
c. equal to 80

Answers

Answer:

c. equal to 80

Step-by-step explanation:

Given that:

The population mean = 80

The standard deviation is = 6

The sample mean = 85

The objective is to find the probability that is less than 85

[tex]P(X < 85) = P( Z < \dfrac{x-\mu}{\sigma})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{85-80}{6})[/tex]

[tex]P(X < 85) = P( Z < \dfrac{5}{6})[/tex]

[tex]P(X < 85) = P( Z < 0.833)[/tex]

From the standard normal table

P(X <85) = 0.7977

P(X< 85) = 79.77%

P(X< 85) = 80%

Therefore, The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:  equal to 80    .

inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational​

Answers

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1  is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

Solve for x in this equation: 3/4 +|5-x| = 13/4
Step 1: Isolate the absolute value by subtracting
from both sides of the equation.

Answers

Answer: this is correct

Step-by-step explanation:

It says it’s correct

If AD : AB = 2 : 5, the coordinates of point F are . Point E has the coordinates (2.8, -3), and the coordinates of point D are .

Answers

Answer:

(4.4, -4.6) and (4.4, -1.4)

Step-by-step explanation:

Got a 100 on plato

Coordinates are usually denoted by (x,y) the x-value and y-value.

What is a Coordinate?

This has to do with the system which makes use of numbers or coordinates in order to find the location of a point.

Please note that your question is incomplete so I gave you a general overview to get a better understanding of the concept.

Read more about coordinates here:

https://brainly.com/question/17206319

#SPJ2

Graph each set of integers on a number line.
7. (4, -3, 1,5)
-6-5-4-3-2-1 0 1 2 3 4 5 6
8. (-15, -12, -9, -2)
+++++
-14 -12 -10 8-6
H-
-2
4
9. (8,3, -7,-5)
-8 6 4
-2.
0
2.
4
6
8
10. 1-14, - 7, 10, -1)
++
-15
-12
9
3
0
3
6
9
11. 1-6, -1,0,31
-6-5-4-3-2-1 0 1 2 3 4 5 6

Answers

Answer:

-14 -12 -10 8-6

Step-by-step explanation:

Use the similar triangles to setup a proportion and solve for x

Answers

Answer:

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

Step-by-step explanation:

ΔUSA ≅ ΔPAL

[tex]\frac{AU}{AP}[/tex] = [tex]\frac{US}{PL}[/tex]

[tex]\frac{22}{12}[/tex] = [tex]\frac{x}{10}[/tex]

x = [tex]\frac{220}{12}[/tex] = [tex]\frac{55}{3}[/tex] = [tex]18\frac{1}{3}[/tex]

Your friend says that he can get a dozen dvds from website for $90

Answers

                              *BEWARE*

                        The website probably sells pirated DVD

Answer:

He is wrong. The total cost would be $111

Step-by-step explanation:

Hope this helps!

What is 50% of 36?
o9
o16
o18
o34

Answers

50% of 36 is 18. Therefore, your answer is the third option.

Answer:

18

Step-by-step explanation:

Graph the line by plotting any two ordered pairs that satisfy the equation.
-6y = 9

Answers

Answer:

GRAPH IS IN THE PICTURE BELOW

Step-by-step explanation:

Define the is a way of expressi a relationship between x and y in set notation it is called an

Answers

Answer:

I think it’s an ordered pair?

Step-by-step explanation:

Advertising. I know I have to write about advertising. What do I know about advertising? I know you have to market a product to a specific audience.
Advertising is used to sell things like soft drinks or cars. I think I need to narrow down my choices of what to advertise Advertisements can be written,
heard, or seen. Should I have a visual advertisement on a new brand of energy drink? Which prewriting strategy is shown above? (4 points)
• Brainstorming
O Freewriting
O Clustering
Journalist Questions

Answers

Answer:

i think brainstorming

Step-by-step explanation:

Which inequality is true?
–1.5 > –0.5
Negative one-half
–2.5 < –2
Negative 1 and one-half

Answers

Answer:

-2.5 < -2

Step-by-step explanation:

-3, -2.5, -2,...,0,1 ,2, 3, ...

Answer: the answer is -2.5 =2 1/2,  -0.5 <0, -2.5 <-2 im probably wrong but oh well...

Step-by-step explanation:

A sample of 50 students is taken from a local college and it is found that the
average test score of a recent math exam was 78 with a standard deviation of 6.
What percent of the entire school population can be expected to have score
above 84?
Your answer

Answers

i got 13 I am pretty sure that Is the answer

If 1 day (24 hours) is equal to 1000 years, what does one minute equal?

Answers

Answer:

Step-by-step explanation:

1440 minutes in a day. meaning that  1.44 years is about a minute

Suppose that 84% of the cases of car burglar alarms that go off are false. Let p be the proportion of false alarms in a random sample of 110 cases of car burglar alarms that go off. Calculate the mean and standard deviation of p and describe the shape of its sampling distribution.

Round your answer to four decimals places if necessary

up= ______
op= ______

The sampling distribution of p is normal or skewed to the right?

Answers

Answer:

0.84 ; 0.0349545 ; symmetric

Step-by-step explanation:

Given that:

p = proportion of false alarm

Sample size (n) = 110

The mean of p

Since 84% of car buglar alarms turns out as false, then, the mean value of p = 0.84

To obtain the standard deviation ; we use the relation ;

√(p(1 - p) / n)

Standard deviation :

√0.84(1 - 0.84) / 110

√0.84(0.16) / 110

√0.1344 / 110

√0.0012218

= 0.0349545

np = 110 * 0.84 = 92.4 (distribution is symmetric or normal)

One week, Sarah earned $192.00 at her job when she worked for 8 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $408.00?

Answers

Answer:

17 hours

Explanation:

Which expression is equivalent to −78−(−34)

Answers

Answer:

-44

Step-by-step explanation:

(M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros é:

Answers

Step-by-step explanation:

M1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageirosM1219Q3SP) Um aplicativo de transporte de passageiros cobra uma taxa de R$ 0,75 por viagem, chamada de "Custo Fixo". Além dos R$0,75, a tarifa do aplicativo tem preço base inicial de R$2 e cobra R$1,40 por quilômetro rodado e R$ 0,26 por minuto de viagem. Considerando a distância percorrida em quilômetros igual a “q” e o tempo de viagem em minutos igual “t”, qual a função que representa o valor a ser cobrado por uma viagem usando esse aplicativo de transporte de passageiros

HELP PLEASE!!! 17 POINTS!!

If triangle PQR is plotted, it will have the following coordinates,P(-4,0),Q(4,2)and R(-2,4). If point R is translated 4 units right and 7, what are the coordinates of R'?

Answers

Answer:

(2, -3)

Step-by-step explanation:

Right now, R is at (-2, 4). If it is pushed 4 units to the right, it becomes -2+4 = 2 on the x-axis. If it is pushed 7 units down, it becomes 4-7 = -3. Thus, the coordinates are (2, -3)

A triangle has vertices A(-3,6), B(-3, 4), and C(3,4).

If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?

Answer:

(-1, 5)

Step-by-step explanation:

Right now, A is at (-3, 6). If it is pushed 2 units to the right, it becomes -3+2 = -1 on the x-axis. If it is pushed 1 unit down, it becomes 6-1 = 5. Thus, the coordinates are (-1, 5)

The Steckels decide to spend less on food and entertainment in order to put more money into savings. Which graph could represent the Steckels’ new budget?

Answers

Answer:

A histogram maybe

Step-by-step explanation:

Write a story about temperatures that this expression could represent: ½ + (-¾)

Answers

Answer:

boom

Step-by-step explanation:

Answer:

so when your in the avatar state it is below zero, so you have to wear warm cloths

Step-by-step explanation:

Lots of points! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

5

The answer is 5......
Other Questions
John called a plumber to fix a leak in his bathroom. The plumber charged $30 to come to the house and $25 an hour while fixing the leak. If the final bell was $106, how many hours was the plumber03John's house?05O 7O4NextO09:45 In a regular polygon with n sides, what is the smallest angle of rotation about the center for which the polygon will be napped onto itself?A: nB: n/360C: 360/nD: 180/n Which statement best represents the conflict in this passage El estudiante _____la ropa antes de ir a la escuela.D. me pongoA. se ponenB. te ponesC. se pone simplify the expression 111111 using exponent What happens on a spring tide Can someone please correct my Spanish Grammar for my Spanish essay? Here it is: Despus de Lucas enva un mensaje importante, me pregunto qu impacto tuvo en el entrenador. La escena final en el cortometraje demuestra a Lucas y su entrenador mirando al otro. La expresin del entrenador sugiere que entiende a la razn por las acciones de su jugador. Mira hacia abajo y lejos de los ojos de Lucas. Tal vez se sinti a avergonzado. Pienso que despus de La Final, el entrenador ser ms consciente sobre cmo sus acciones afectan a otros. Dudo que har el mismo error de nuevo. Adicionalmente, me pregunto si Lucas se quedar en el equipo y permitir que el entrenador se redime a s mismo o dejar para encontrar a un equipo diferente. A rock is thrown with an initial vertical velocity 50 m/s at an angle of 40 degrees.a. What is the horizontal component of the velocity?b. What is the vertical component of the velocity?c. What is the hang timel?d. What is the peak height?e. What is the range? 3 ice cream cones cost $5.25. At this rate, how much do 2 ice cream cones cost? What are earth's three main layers? *O Core, mantle, and surfaceO Core, mantle, and crustO Inner core, outer core, and mantleO Upper mantle, lower mantle, and crust Which is the best estimate of 11 I want to cry help me How did the Enlightenment affect womens role in society? Choose three correct answers. Some people argued for equality for women. More women were allowed to hold political office. Women received more work opportunities in the field of education. Women were able to participate in political and social debate. Women were viewed as having natural rights, just like men. What is true about low-level radioactive waste?Select all that apply.Most states have a low-level radioactive waste disposal site.Low-level radioactive materials may be incinerated before disposal so they take up less space.Supplies used in nuclear medicine are considered low-level waste.Materials that have not been contaminated by radioactive materials are still considered low-level waste if they have been exposed to neutron radiation. Which of the following is the same as 727.526? In word form btw! ty A. the data support his hypothesis so he should investigate if the same change happens in the density of solid water Are the rectangles below similar Justify your answer.YESNOJustify your answer below (required)Asapppppp ASAP I NEED THIS NOW!!!!!!!Planet A Planet B Planet C Distance from Sun 0.718 AU 1 AU 5.20 AU Mass 4.8676 1024 kg 5.9726 1024 kg 1,898.3 1024 kg Planet Composition rocky mantle, iron core rocky mantle, iron core hydrogen, helium Gases in Atmosphere 96% carbon dioxide, 3% nitrogen, 1% other 78% nitrogen, 21% oxygen, 1% other mostly hydrogen and helium Atmospheric Pressure on Planets Surface 92 bars 1 bar > 1,000 bars Average Temperature 464C 15C -108C Part A Which of these planets is Earth? Explain your answer. What is 50 divide by 400? April invests $30,000, part at 6.5% annual interest and the balance at 4.2% annual interest. How much is invested at each rate if April receives a 1-year interest payment of $1662.50?