The average yearly snowfall in chillyville is normally distributed with a mean of 55 inches. if the snowfall in chillyville exceeds 60 inches in 15% of the years, what is the standard deviation?

Answers

Answer 1

The probability of a normally distributed data with mean, μ and standard deviation, σ, exceeds a value, a, is given by

[tex]P(x \ \textgreater \ a) = 1 - P(x \leq a) = 1 - P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Given that the average yearly snowfall in chillyville is normally distributed with a mean of 55 inches. If the snowfall in chillyville exceeds 60 inches in 15% of the years, thus we have:

[tex]1 - P\left(z\ \textless \ \frac{60-55}{\sigma} \right)=0.15 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{5}{\sigma} \right)=1-0.15=0.85 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{5}{\sigma} \right)=P(z\ \textless \ 1.036) \\ \\ \Rightarrow \frac{5}{\sigma}=1.036 \\ \\ \Rightarrow\sigma= \frac{5}{1.036} =4.83[/tex]

Therefore, the standard deviation is approximately 5.

Answer 2

Final answer:

The standard deviation of the snowfall in Chillyville, when the snowfall exceeds 60 inches in 15 percent of the years, is 5 inches.

Explanation:

The question is about finding the standard deviation of the normally distributed data for snowfall in Chillyville. From the given problem, we have the mean (μ) as 55 inches and the given probability for snowfall exceeding 60 inches is 15% or 0.15 which happens to correspond to 1 - 0.85 = 0.15 in the standard normal distribution. This places it in the 85th percentile of the standard normal distribution, which corresponds to a Z-score of about 1.

From the Z-score formula Z = (X - μ)/σ, where X is the data point, μ is the mean and σ is the standard deviation, we can substitute the known values: 1 = (60 - 55)/σ . Solving it gives σ = 60 - 55, which implies the standard deviation is 5 inches.

Learn more about Standard Deviation here:

https://brainly.com/question/31516010

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Related Questions

4. The science team uses the information to suggest the main outcome of the hypothesis.

a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem

5. This step includes recording data, taking photos, and coordinating information.

a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem

Answers

4- B
5- C

Hoped I helped!

Hi Heres your Answer!
4.A
5.B
Hope this is right!
Let me Know!

If t varies directly as s and inversely as v^2 and is t =0.1 when s =72 and v=6, find s when t=5 and v=0.2

Answers

Attached the solution and work.

Can someone help me with this? 18(−8c+16)−13(6+3c) =

Answers

Hi. I am attaching a step by step image for you. Hope this helps.

Take care,
Diana

A tortoise walk 52.0 feet per hour. Convert this into inches per minute

Answers

1 foot = 12 inches

52 * 12 = 624 inches per hour

1 hour = 60 minutes

624/60 = 10.4 inches per minute

The floor of a shed has an area of 99 square feet. the floor is in the shape of a rectangle whose length is 7 feet less than twice the width. find the length and the width of the floor of the shed. use the formula, area equals=length times•width.

Answers

W=width, L=length
L=2W-7
LxW=99 (now substitute)
(2W-7)xW=99 (distribute W)
2W²-7W=99
2W²-7W-99=0 (set to 0 to solve)
(W-18/2)(W+9/2)=0
(W-9)(2W+9)=0
W-9=0; W=9
2W+9=0; 2w=(-9) not possible in real world to have a negative length
So, width = 9 ft, and length = 2(9)-7 = 11 ft

Final answer:

The width is 9 feet and the length is 11 feet.

Explanation:

The area of a shed floor is given as 99 square feet, and the floor is shaped like a rectangle. According to the problem, the length (L) of the floor is 7 feet less than twice the width (W). The relationship between length and width can be expressed as L = 2W - 7. We can use the area formula, which is Area = Length × Width.

Given the area (A) is 99 sq ft, we can set up the equation:

A = L × W
99 = (2W - 7) × W

Now we solve for W using the quadratic equation:

W2 - 7W + 99 = 0

Upon solving, we find that W = 9 feet (since the width cannot be negative). Now we can find the length L by substituting W into the length expression:

L = 2 × 9 - 7 = 11 feet

Therefore, the width is 9 feet and the length is 11 feet.

Suppose the number $1155$ is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?

Answers

First off, let us find for the prime factors of this number, 1155. The prime factors are:

3 * 5 * 7 * 11 = 1155

3, 5, 7, 11

Since there are 4 prime factors, we multiply the two smallest prime factors to make this into three, so multiply 3 and 5, so:

15, 7, 11

Now the smallest possible sum is:

15 + 7 + 11 = 33

Answer:

You spend 5/6 of the money in your pocket on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of the original amount of money in your pocket do you spend on jeans?

Answers

If the amount of money you spend in total is 5/6, and you spend 2/5ths of that on jeans, then 2/5 of 5/6 is what you want to get. To get that, we simply multiply the two to get 10/30 or 1/3 by dividing both the numerator and denominator by 10

Soft drinks are sold in 2-liter bottles or 354-milliliter containers. How many liters are in 354 milliliters? please explain well

Answers

The answer is 0.354 liters.

0.354. A liter is 1000 milliliters so just out a 0. Behind the number

The legs of a right triangle measure 30cm and 40cm.what is the length of the hypotenuse

Answers

The equation to find a hypotenuse is
A^2 + b^2=c^2

Plug in the numbers

30^2 + 40^2 = c^2

900 + 1600 =c^2

2500 = c^2

The square-root of 2500 = c

50=c

The hypotenuse of the triangle is 50

Hope this helps!

a²+b²=c²
30²+40²=c²
900+1600=c²
2500=c²
√2500=√c²
c=50
The hypotenuse is 50cm long.

Hope this helps!

Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg. Write an equation to determine the weight, (w), of each of Carl's checked bags.

Answers

(35 - 4) / 2 = w
35 is total weight
4 is backpack
2 is the number of bags

Answer:

15.5

Step-by-step explanation:

2w+ 4 = 35 is the equation

15.5 is the total for w

I did this khan and this answer is correct

Hope this helps!

Which expression is equivalent to -3.5(4x – 3)?
A. -3.9x – 3.2
B. -3.9x + 3.2
C. -14x + 10.5
D. -14x – 10.5

Answers

First, you need to solve the equation.

-3.5 * 4x = -14x
-3.5 * -3 = 10.5

C) -14x + 10.5

Hope this helps!

Answer:

The answer is c

Step-by-step explanation:

The perimeter of the triangle shown to the right is 115 feet . Find the length of each side

Answers

Final answer:

To find the length of each side of the triangle, we need to determine the length of the third side. The perimeter of the triangle is given as 115 feet. We know that the first side is 80 feet long and the second side is 105 feet long. To find the length of the third side, we subtract the sum of the lengths of the first two sides from the perimeter: 115 - 80 - 105 = 115 - 185 = -70.

Explanation:

However, since the length of a side cannot be negative, it means that there has been an error in the measurements or calculations. Please double-check the given information and calculations to ensure the accuracy of the question.

what is the least common factor of 54 and 77

Answers

sorryyyyyyyyyyyyyyyyyyyyyyyyyyyy go see in goggle

Consider the function
{8x-x^2 for x is less than or equal to 8
x^2+3 for x>8}

what is f(8)?

Answers

f(x) = 8x-x^2 only if x is equal to 8 or less than 8
OR
f(x) = x^2+3 only if x > 8

We can only pick one of the two paths. The function f(x) can't be both at the same time. In the case of computing f(8) we have the input x = 8. It won't fit the bottom piece as x > 8 is false when x = 8. The inequality 8 > 8 is false

So instead we pick the top piece

x = 8 ----> so "x is less than or equal to 8" is true
f(x) = 8x - x^2
f(8) = 8*8 - 8^2
f(8) = 64 - 64
f(8) = 0

The final answer is 0

The Scott Shop charges $27 more than the Garcia Co. for a winter jacket. If the Scott shop’s price is $77, how much does the Garcia Co. charge?

Answers

Garcia Co. charge = 77 - 27 = $50

subract 27 from 77

77 -27 =50

Garcia charges 50 dollars

Write an expression that is equivalent to 2/3 (4x + 9).

8/3x + 6

8/3x + 9

2/3x + 6

2/3x + 9

Answers

2/3 (4x + 9)
= 8/3x + 6

answer
8/3x + 6

2/3 of 9 = 6

2/3 *4 = 8/3

so the answer would be 8/3x +6

If a share of stock costs $32.63, what would it cost to buy 1,000 shares of the stock?

Answers

Here is your answer: If a share of the stock cost 32.63 and you wanted to buy 1,000 shares of the stock you just need to multiply 1,000 and 32.63 32.63*1,000=32,630 Your answer is: 32,630$

answer is: $32,630

you just multiply the 2 intergers

brainliest plz:)

I’m stuck. Please help.

Answers

So, we want to first make this into equation form.

Say n = the number.

4 less:

-4

Than half a number

1/2n - 4

Is equal to 37 less

1/2n - 4 = -37

Than twice the number

1/2n - 4 = 2n - 37

So, move all like terms to the same side:

1/2n - 2n = -37 + 4

-1 1/2n = -34

/-1 1/2 /- 1 1/2

n = 22 2/3

a rectangle has a diagonal which is 4 times the width if the area is 15root2 what are width andperimeter of the rectangle

Answers

Let width be x
Area: 15√2
Diagonal; 4x

First, you need to find the length using pythagorean theorem.
a=x
c=4x
b=?

Solve this in terms of x and you will find the solution to be; √15x²

Knowing this, plug the number back into the area formula to find the value of x,

(x)(√15x²)=15√2
...
..
x⁴=30

Length= √(15√(30))

Do the calculations just to be sure

Hope I helped :)

The area of a square bedroom is 144 square feet. what is the length of one wall?

Answers

The answer is: "12 feet" .
________________________________
Note: In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width.

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given: A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  → s² = 144 ft² ; Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  → s = 12 ft.
_______________________________
The answer is: 12 ft.
_______________________________

The length of one wall of the bedroom is 12 feet, which is the square root of the room's area of 144 square feet

The area of a square is calculated by squaring the length of one of its sides, so if the area of a square bedroom is 144 square feet, the length of one side can be found by taking the square root of the area. Therefore, to find the length of one wall, calculate the square root of 144, which is 12 feet. So, the length of one wall of the bedroom is 12 feet

Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how much primer to purchase.
Each gallon of primer will cover a (minimum) (maximum) (multiple) of (200) (400)(600) square feet

Answers

Answer:

Each gallon of primer will cover a maximum of 200 square feet

Step-by-step explanation:

The x-axis of the graph is the area to paint in square feet. The y-axis of the graph is the number of gallons of primer needed.

We can see that 1 gallon of primer covers from 0 to 200 feet; 2 gallons of primer covers from 200 to 400 feet; etc.

This tells us that each gallon of primer covers a maximum of 200 square feet.

Complete the pairs of 's.

(triangle)FCA ~= (triangle)

DAC

EBC

GCA

Answers

I think its DAC but im not sure if you mean congruency the its most likely that one

Answer:

DAC

Step-by-step explanation:

We can write, from the figure of the question.

In ΔFCA and ΔDAC.

∠FAC=∠DCA,

AC=CA, (common)

∠FCA=∠DAC.

Hence , we can say ΔFCA ≅ ΔDAC, because here in ΔFCA and ΔDAC, the two corresponding angles and including side are same (from ASA postulate ).

Amanda walks at an average speed of 3.5 miles per hour. The function d(x) gives the distance Amanda walks in x hours

Answers

d = 3.5

If she walks 3.5 miles per hour. The amount would multiply x. So you just have 3.5(x).

At 12:00 noon two mississippi steamboats are 126 miles apart. at 6:00 p.m. they pass each other going in opposite directions. if one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.

Answers

Let us solve the problem using an equation. Let x be the speed of one of the boats. The speed of the other boat will be x + 9. Both the boats have traveled for 6 hours, starting from 12:00 noon to 6:pm The distance they have traveled within 6 hours is 126 miles. The distance traveled by the first boat is x*6 = 6x Miles The distance traveled by the other boat is (x + 9) 6 = 6x + 54 Miles Thus, 6x + 6x + 54 = 126 Miles 12x = 126 - 54 12x = 72 x = 72/12 x = 6 So the speed of one of the boats is 6 miles per hour and the speed of the other boats is 6 + 9 = 15 miles per hour.

The answer will be

The rate of the first steamboat is 6 mph, the rate of the second steamboat is

15 mph .

A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 780-meter head start. When the start gun is fired the hare begins running at a constant speed of 10 meters per second and the tortoise begins crawling at a constant speed of 5.3 meters per second.

Answers

I am presuming that the question is who won or by how much did the winner win.

distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds

For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)

The tortoise won by 5. 28 seconds (160-154.72)

The tortoise wins. The tortoise takes 154.7 seconds to finish the race. The hare takes 160 seconds to finish the race. There really isn't a question here, but I'm going to assume the unasked question is one of "Who wins?" "How long does it take the tortoise to complete the race?" or "How long does it take the hare to complete the race?" And thankfully, in determining the answer to "Who wins?" will have as a side effect the answers to the other two questions. First, how many seconds does it take for the hare to complete the race. Just divide the distance by the speed and you'll have the answer. So 1600 m / 10 m/s = 160 s Now, how many seconds does it take the tortoise to finish the race? Same thing. Distance divided by speed. But there's a twist, you need to figure out the distance. And that is just the track length minus the head start. So (1600 m - 780 m) / 5.3 m/s = 820 m / 5.3 m/s = 154.717 s And since the tortoise took less time than the hare, the tortoise wins.

Pythagorean Theorem. I need help please!!!!!

Answers

The hikers started at point S.
The first hiker went 2 miles east and 1 mile north to point A.
The second hiker went 1 mile west and 3 miles south to point B.
See the figure below.

                                                              A
                                                        I
                           1 mile                       I    1 mile
                          I---------S------------------I
                          I                2 miles
                          I
                          I
            3 miles   I
                          I
                          I
                          B

Now we need to see how much east and how much north hiker B is from hiker A.

                                                            A
                                                        I
                           1 mile                       I    1 mile
                          I---------S------------------I
                          I                2 miles   I
                          I                                   I
                          I                                   I
            3 miles   I                                   I   3 miles
                          I                                   I
                          I                                   I
                          B----------------------------I
                                         3 miles

From point B go 3 miles east, then 3 + 1 = 4 miles north to point B.
The distance between the hikers is the hypotenuse of a triangle with legs of lengths 3 and 4.

3^2 + 4^2 = d^2

9 + 16 = d^2

d^2 = 25

d = 5

The distance between the hikers is 5 miles.

How is the graph of y=9(3)^x+6 translated from the graph of y=9(3)^x?

Answers

it is translated down 6.

how would you graph the solution set of the system of inequalities {3y≤2x+6} { 2x+y>0}

Answers

1) Solve the first inequality

3y ≤ 2x + 6

=> y ≤ 2x/3 + 2

2) Draw the line y = 2x/3 + 2

3) Shade the region below the line y = 2x/3 + 2

4) Solve the inequality 2x + y > 0

=> y > - 2x

5) draw the line y = -2x

6) Shade the region above the line y = -2x

7) The solution is the region between the two lines shaded including the portion of the line y = 2x/3 + 2

Two angles are complementary. the measure of one angle is 21 more than the measure of the other angle. find the measures of the angles

Answers

The angles would be 34.5 degrees and 55.5 degrees

What is the y-intercept of the line? y +6x - 4y-intercept =?

Answers

Slope intercept form is always y=mx+b where your m is your slope and your b is your y-intercept. Knowing this we first need to put your equation into slope intercept form. to do this all we have to do is subtract everything except why across an equal sign to get y=-6x+4. Now all you have to do is figure out what the 'b' is to know that the y-intercept is 4

Answer:

[tex]\huge\boxed{\boxed{\tt{the \ y-intercept \ is \ -4}}}[/tex]

Step-by-step explanation:

Hello.

The equation is written in slope-intercept form (y-mx+b, where m stands for the slope of the line and b stands for the y-intercept)

Let's write the equation and see if we can identify its y-intercept (the point where the graph touches the y-axis)

Equation:

[tex]{\boxed{\boxed{\bf{y=6x-4}}}[/tex]

Y-intercept:

[tex]\boxed{\boxed{-4}}[/tex]

And we're done!

Note: The slope of the line is 6.

I hope it helps & have an outstanding day!

~ST2710

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