According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches, with a standard deviation of 0.07 inches. What is the probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days (taken over many years)?

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Answers

Answer 1

Answer:

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 0.10 inches

Given that the standard deviation of the population = 0.07inches

Let 'X' be a random variable in a normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{0.11-0.10}{0.07} = 0.1428[/tex]

Step(ii):-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = P(Z≤0.1428)

               =  1-P(Z≥0.1428)

              =  1 - ( 0.5 +A(0.1428)

            =  0.5 - A(0.1428)

            = 0.5 -0.0596

           = 0.4404

Final answer:-

The probability that the mean daily precipitation will be 0.11 inches or less for a random sample of November days

P(X≤ 0.11) = 0.4404


Related Questions

Solve for the variable indicated
-4x-8y=36 solve for x

Answers

Answer:

x = -2y - 9

Step-by-step explanation:

First isolate the variable by putting the x on a side by itself.

-4x=36+8y (8y becomes positive when it changes sides)

Then divide the entire equation by -4 to make the x stand alone.

x = -9 -2y

Some teachers prefer the variables at the beginning of the equations so it could also read

x = -2y - 9

Hello there!

Question:-

[tex]-4x-8y=36[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto-4x-8y=36[/tex]

Firstly, Add 8y to both sides :-

[tex]\sf \longmapsto \: - 4x - 8y+8y=36+8y[/tex]

On Simplification:-

As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.

[tex]\sf \longmapsto \: - 4x - 0 = 36 + 8y[/tex]

[tex]\sf \longmapsto \: - 4x = 8y + 36[/tex]

Then, Divide both sides by -4:-

[tex]\sf \longmapsto \: \dfrac{4x}{ - 4} = \dfrac{8y + 36}{ - 4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: x = - 2y - 9[/tex]

______________________________________

Henceforth the value of x is :-

[tex] \boxed{\tt \: x = - 2y - 9}[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

1.
Look at the polygon below.
10 cm
1 cm
4 cm
2 cm
1 cm
6 cm
1 centimeter = 1 cm
What is the perimeter of the polygon?

Answers

10+1+4+2+1+6= 25

Perimeter = 25
Hope this helps

Answer:

24 cm

Step-by-step explanation:

10 + 1 + 4 + 2 + 1 + 6 = 24 cm

Hope this helps

HEY PLEASE HELP ASAP I WILL GIVE BRAINLEST!!!!

Answers

Answer:

117

Step-by-step explanation:

18x9=162

5x9=45

162-45=117

help fast thanksddddd​

Answers

Answer:

2) 10/9 = 1.111111111

3) 1/2 = 0.5

4) 2

5) 3/7 = 0.428571429

6) 4/5 = 0.8

7) 1

8) 42/11 = 3.818181818

9) 5/3 = 1.666666667

10) 7/4 = 1.75

Step-by-step explanation:

Hope this helps

Answer:

2. 19

18

3. 1

4. 6

5

5. 5

4

6. 9

10

7. 1

8. 53

66

9. 4

3

10. 11

28

Note: Download Photomath to solve math problems in a snap of a picture

(-7w + 13) - (6w + 10) find the difference

Answers

Answer:

-13w + 3

Step-by-step explanation:

Answer:

w=3/13

Step-by-step explanation:

(-7w+13)-(6w+10)=

-7w+13-6w-10=

reduce

-13w+3=

13w=3

w=3/13

4/9, 7/8, 15/20, 16/24, select the fraction that is equivalent to 2/3​

Answers

Answer:

16/24 is equivalent to 2/3...................

if the water bill costs 487.75.and the electict bill costs 952.50.how much will be needed to pay for the bill?
1.what is asked?
2.what are given?
3.what operation will be used?
4.what is the number sentence?
5.what is the sulotion and answer?

Answers

1. it is asked to find how much will be needed to pay for the bill

2. 487.75 952.50

3. multiply

4. I don't know

5. 487.75 multiplied by 952.50 equals 464,581.875

¿Cuál es el valor de la siguiente expresión: + − − + − + + ?​

Answers

Answer:

+-+-+-

Step-by-step explanation:

a millipede has 14 more legs than a caterpillar. together they have 46 legs. how many legs does a caterpillar have?

Answers

Answer:

32

Step-by-step explanation:

46-14=32 so therefore, a Caterpillar has 32 legs.

The caterpillar has [tex]16[/tex] legs.

Millipede:The class Diplopoda, from which the word "millipede" is derived, is a group of arthropods that are distinguished by having two pairs of jointed legs on most body segments. Two single segments are joined to form each double-legged segment.Caterpillar:Members of the order Lepidoptera in the larval stage are known as caterpillars (the insect order comprising butterflies and moths).The word's use is arbitrary, as it is with most common names, as caterpillars are another term for sawfly larvae (suborder Symphyta).Larvae of symphylans and lepidopterans exhibit eruciform body forms.Solution -

Let, the caterpillar's legs be [tex]x[/tex].

[tex]x+(x+14) = 46\\2x+14=46\\2x=46-14\\2x=32\\x=\frac{32}{2} \\x=16[/tex]

Therefore, the caterpillar has [tex]16[/tex] legs.

Know more about caterpillars here:

https://brainly.com/question/17251136

#SPJ2

Solve 3x +2=5.
A. Model 3x +2=5.
B. Perform the step to have the variables (circles) alone on one side.
C. Write the resulting step.
D. Divide the variables (circles) and numbers (squares) into equal groups.
E. Show the value of one group.

Answers

Answer:

x = 1

Step-by-step explanation:

3x + 2 = 5

Inverse oeprations

3x + 2 = 5

    -2     -2

3x = 3

/3     /3

x = 1

The school party committee has $52 to buy ice cream. Each carton of ice cream costs $3. After buying as many cartons of ice cream as they can, how much money will the committee have left over?

Answers

Answer:  17.33

Step-by-step explanation:

You just do 52 divided by 3.

Answer:

17.3

Step-by-step explanation:

52 divided by 3

Marimar buys and old mirrors for $45:00 . She spend $5:00 to fix and paint it . Then she sell the mirror for $78:00 . What is marimar profit ?

Answers

Answer:

28 dollars

Step-by-step explanation:

$45+$5= $50 which is how much she spent it total

then she sells it for $78

so her profit would be $28

What is the percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent.

Answers

Answer:

I'll round in each

200,000

220,000

228,000

228,800

228,800

i am so sorry if thats not what you want i just want to help as much people as possible and i dont know im percent so im so sorry again i apoligize

The percentage of deaths occurred in 2004 is 27.77%.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

We have the table that contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.

In 2004,

228802 deaths occurred.

And the total number of deaths = 823756

To find the percentage:

Let n be the required percentage.

228802 = n x 823756 / 100

n = 228802 x 100 / 823756

n = 27.77%

Therefore, the percentage is 27.77%.

To learn more about the percentage;

brainly.com/question/24159063

#SPJ2

The angles of a quadrilateral are in the ratio 2:4:5:6 what is the difference between the largest angle and the smallest angle​

Answers

Answer:

85

Step-by-step explanation:

From the question given above, the following data were obtained:

Ratios of the angle => 2 : 4 : 5 : 6

Difference between the largest angle and the smallest angle​ =?

Next, we shall determine the various angles in the quadrilateral. This can be obtained as follow:

Ratios of the angle => 2 : 4 : 5 : 6

Total ratio = 2 + 4 + 5 + 6

Total ratio = 17

Angle in a quadrilateral = 360

For ratio 2:

Angle = 2/17 × 360 ≈ 42

For ratio 4:

Angle = 4/17 × 360 ≈ 85

For ratio 5:

Angle = 5/17 × 360 ≈ 106

For ratio 6:

Angle = 6/17 × 360 ≈ 127

SUMMARY:

The angles are => 42°, 85°, 106° and 127°

Finally, we shall determine the difference between largest angle and the smallest angle​. This can be obtained as follow:

Smallest angle = 42°

Largest angle = 127°

Difference between the largest angle and the smallest angle​ =?

Difference = Largest – Smallest

Difference = 127 – 42

Difference = 85

Thus, the difference between the largest angle and the smallest angle​ is 85.

Find the perimeter of the shape with vertices (2, 3), (5, 3) and (5, 7).

Answers

Answer:

right triangle with sides 3,4,& 5

perimeter=12

Step-by-step explanation:

Please give the right answer and show work if possible

Answers

Step-by-step explanation:

[tex] \sin(48) = \frac{25}{qr} \\ qr = \frac{25}{ \sin(48) } = \frac{25}{0.743} \\ qr = 33.65[/tex]

What is the area of the figure?
3 m
2 m
8.2 m
5.2 m
4 m
Thank you

Answers

Answer:

We can break this figure up into 3 rectangles. The 3x6 one, the 6x9 one, and the 15x12 one. Then, to find the area of the figure all we need to do is multiply and add them up. 3*6=18, 6*9=54, and 15*12=180. Then, we do 18+54+180= 252 sqaure inches, so your answer would be the first option.


Helen Sanchez's checking account had a balance of $678.22. She wrote a check to pay her gasoline charge
card for $17.21 and a check to the grocery store for $172.71. What is her new balance?

O $668.01
O $488.30
0 $661.01
O $478.30

Answers

The answer to the question is $488.30 all you had to do was subtract

Find the perimeter of the shape on the grid pls help

Answers

Answer:

16.4

Step-by-step explanation:

I'm going to be honest, I don't really know how to explain this one. But the website GeoGebra can help with finding perimeter of shapes. You have to play around with it a bit to figure it out though.

What is the solution to this equation? ​

Answers

Step-by-step explanation:

(1/8 - X) = -1/8

or, (1/8+1/8) = X

or, X=1/4

it's the final answer you can check it if you want

round 577 to the nearest hundred​

Answers

it’s 580.......……
..........

Answer:600

Step-by-step explanation:

Which of the values below will make 3+x=21 true

Answers

Answer:

x=18

21-3=18

Step-by-step explanation:



[tex] log_{3}(x) + log_{9}(x) = 12[/tex]
solve for x​

Answers

Answer:

  x = 3⁸  

Step-by-step explanation:

Step(i):-

Given that

              [tex]log _{3} (x)+ log_{9} (x) =12[/tex]

             [tex]log _{3} (x)+ log_{3^{2} } (x) =12[/tex]

  we know that

        [tex]log^{a} _{b} = \frac{loga}{logb}[/tex]

         [tex]log _{3} (x)+ \frac{logx}{log3^{2} } =12[/tex]

Step(ii):-

Apply log xⁿ = nlogx

      [tex]log _{3} (x)+\frac{1}{2} \frac{logx}{log3 } =12[/tex]

    [tex]log _{3} (x)+ \frac{1}{2} log_{3 } (x) =12[/tex]

   [tex]log _{3} (x)+ log_{3 } (x)^{\frac{1}{2} } =12[/tex]      ( ∵  log xⁿ = nlogx)

 Apply log(ab) = loga+logb

 [tex]log _{3} (x (x^{\frac{1}{2} }) =12[/tex]

  [tex]log _{3} ( (x^{\frac{3}{2} }) =12[/tex]

[tex]\frac{3}{2} log _{3} ( x) =12[/tex]

 [tex]\frac{1}{2} log _{3} ( x) = 4[/tex]

[tex]log _{3} ( x) = 8[/tex]

we know that  [tex]log _{b} ( x) = a[/tex]    ⇒  x = bᵃ

∴    x = 3⁸  

Find the average gas bill expense from the months: Oct $48, Nov. $57, Dec $61

Answers

Answer: $55.33

Step-by-step explanation: In order to solve this promblem, add all the monthly gas bills and take that result and divide it by the numbe rof months, to get the anerage gas bill expense

Answer: $55.33

Remember: To find the average add all the number then, divide by the amount of numbers.

Ella wants to buy new uniform for work that cost $32 her employer promises to pay 20% of the cost while Ella must pay the rest how much money will her employer pay and how much must Ella pay

Answers

Employer pays $6.40
Ella pays $25.60

To have 50,000 in 5 years, how much should you invest if the compound interest is 5%?​

Answers

ANSWER

47,500

STEP BY STEP:


(
0
,
4
)

(

1
,
4
)

(
0
,

3
)
(
0
,
4
)

(
-
1
,
4
)

(
0
,
-
3
)
dilated by a factor by 
2

Answers

Answer:

wait what the hell is even this!

Solve for g in terms of h
6g - 3+ h = 5g - 4h + 13

Answers

The answer is g= -5h + 16

Answer:

g = −5h+16

h = −[tex]\frac{g}{5}[/tex]+[tex]\frac{16}{5}[/tex]

The monthly sale (in thousands of units) for the tth month after the
introduction of a product in the market is given by S = 135t/(t2 + 50). In
which earliest month would the sale (S) have been 9?
5th

Answers

What do you mean 9 and then you put on the bottom 5th but either way it is S=270t^2 +6750t

3. The lowest temperature occurred between 4:00 and 5:00.
a. True
b. False

Answers

Answer:

False

Step-by-step explanation:

The lowest point is at 11.

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