the total snowfall per year in laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. based on the empirical rule, what is the probability that in a randomly selected year, the snowfall was less than 127 inches? enter your answer as a percent rounded to 2 decimal places if necessary.

Answers

Answer 1

We can say that approximately 95% of the total snowfall per year in Laytonville falls between 71 inches (99 - 2*14) and 127 inches (99 + 2*14).

According to the empirical rule, for a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.

Using this rule, we can calculate that the upper limit of 1 standard deviation above the mean is:

99 + 14 = 113 inches

And the upper limit of 2 standard deviations above the mean is:

99 + (2*14) = 127 inches



To answer the specific question, the probability that in a randomly selected year, the snowfall was less than 127 inches is approximately 95%. This can be interpreted as saying that in 95 out of 100 years, the total snowfall in Laytonville is less than 127 inches. As a percentage, this is rounded to 95.00%.

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Related Questions

Can you tell answer of this question​

Answers

Answer:

what is the question?

Step-by-step explanation:

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

solve the following equation by transposition
n-3/8=1/8

Answers

Answer:

Answer is 0.5

To make n the subject of formulae,we transpose the -3/8 to the other side of the equation

n=1/8 + 3/8

n=4/8

In the lowest term

n=1/2

In decimal n=0.5

Thank you

2^10 the square root, plz help

Answers

Answer:

32

Step-by-step explanation:

We need to find the square of 2¹⁰ .

=> √2¹⁰

We know that power of square is 1/2 .

=> 2^(10*1/2)

=> 2⁵

=> 32

Solution:

\( \sqrt{ {2}^{10} } \\ = {2}^{10 \times \frac{1}{2} } \\ = {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = 32\)

Answer:

32

Hope it helps.

Do comment if you have any query.

HELP ME PLEASE FOR 20 POINTS

HELP ME PLEASE FOR 20 POINTS

Answers

can send full pictures to me

A certain freely falling object requires 1.20 s to travel the last 24.0 m before it hits the ground. From what height above the qround did it fall? Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m

Answers

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

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i do not know the answer to this equation √56245

Answers

Answer: 237.160283353

Step-by-step explanation:

Answer:

the answer is 237.1602834

source: Calculator

simplify -1/3 (9y-12)+5y

Answers

Answer:

2y+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

−1

3

(9y−12)+5y

Distribute:

=(

−1

3

)(9y)+(

−1

3

)(−12)+5y

=−3y+4+5y

Combine Like Terms:

=−3y+4+5y

=(−3y+5y)+(4)

=2y+4

Answer:

=2y+4

What are the solution(s) for the following quadratic equation?
f(x)=5x^2+2x-7

Please show work!

Answers

\(\\ \rm\rightarrowtail 5x^2-2x-7=0\)

\(\\ \rm\rightarrowtail 5x^2-7x+5x-7=0\)

\(\\ \rm\rightarrowtail x(5x-7)+1(5x-7)=0\)

\(\\ \rm\rightarrowtail (x-1)(5x-7)=0\)

\(\\ \rm\rightarrowtail x=1,7/5\)

yes or no for part two

yes or no for part two

Answers

the answer is no i think
The answer is most likely no.

You have been brought into a game design meeting. You begin discussion on a piece of data, the time remaining in the game. The team wants the speed of the monsters to increase as the time remaining decreases. What do you recommend

Answers

You have been brought into a game design meeting, you begin discussion on a piece of data, the time remaining in the game. The team wants the speed of the monsters to increase as the time remaining decreases, you can recommend such as mechanics in the game will undoubtedly make the game more challenging

As the time remaining decreases, the monsters' speed will also increase, which will force the players to play more strategically and quickly. Players may have to come up with a new strategy, think fast, and work as a team. The idea of implementing such mechanics in the game will undoubtedly make the game more challenging, competitive, and enjoyable to play.

However, care must be taken while implementing this idea as too much difficulty can lead to players losing interest in the game. Hence, the balance between increasing the monsters' speed and keeping the game playable should be maintained. In summary, implementing this game mechanic is an excellent idea for creating a more challenging and enjoyable gaming experience, and it should be done with proper consideration of game balance and difficulty levels.

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When a new charter school opened in 1990, there were 930 students enrolled. Using function notation, write a formula representing the number, N, of students attending this charter school t years after 1990, assuming that the student population:Increases by 32 students every 4 years N(t)=Decreases by 64 students every 2 years N(t)=Increases by 7.9% every 4 years . N(t)=Decreases by 6.7% every 3 years . N(t)=Increases by 36 students every semester (twice each year). N(t)=Increases by 27% every quarter (4 times per year). N(t)=

Answers

As per the statements given in the question, the equations are N(t) = 930 + (t/4)32, N(t) = 930 - (t/2)64, N(t)= 930 + (2t)36.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

Total number of students enrolled in new charter = 930

1.

Increases by 32 students every 4 years, the equation will be,

N(t) = 930 + (t/4)32

Here, t is the number of years.

2.

Decreases by 64 students every 2 years, the equation will be,

N(t) = 930 - (t/2)64

One more

3.

Increases by 36 students every semester (twice each year), the equation will be,

N(t)= 930 + (2t)36

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the population of happy land is 15.8 happys per acre exactly 553 happys live in happy land. how many acres is happyland

Answers

Answer:

35 acres.

Step-by-step explanation:

Proportions:

15. 8 ⇒ 1 acre

553 ⇒  P acres

P = 553*1/15.8

P = 35 acres


The sum of two numbers is 892. One of the numbers is 363. What is the other number?

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

229

Step-by-step explanation:

363 -892=229

229+363=892

what are the numbers for h?

what are the numbers for h?

Answers

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

what are the numbers for h?

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Answers

Answer:

perpendicular

Step-by-step explanation:

The slope of y = 3x - 7 is 3.

3x + 9y = 9 → 9y = -3x + 9 → y = -1/3 x + 1 so its slope is -1/3.

This means that they are perpendicular because the product of their slopes is -1.

jo goes to a restaurant for a meal. there are 5 starters and 7 main courses to choose from. Jo chooses a starter and a main course how many possible combinations could she order?

Answers

Answer:

35 combinations of a starter and a main course.

Step-by-step explanation:

1a, 1b, 1c, 1d, 1e, 1f, 1g

2a, 2b, 2c, 2d, 2e, 2f, 2g

3a, 3b, 3c, 3d, 3e, 3f, 3g

4a, 4b, 4c, 4d, 4e, 4f, 4g

5a, 5b, 5c, 5d, 5e, 5f, 5g

i hope this helps

PLEASE ANSWER THIS QUESTION I ONLY HAVE 30 MINUTES!!!! I WILL GIVE YOU BRAINLIEST!!!! Broccoli costs 3.14 a pound at the market. Aunt Jaime bought 2.5 pounds. what is the cost? PLS ANSWER I NEED TO MAKE MY SISTER BREAKFIST!!!!

Answers

Answer:

The final cost is 7.85

Step-by-step explanation:

Take 3.14 and multiply it by 2.5

the final cost would be 7.85. i took 3.14 and multiplied it by 2 then took 3.14 again and divided it by 2. i added the answers together and got 7.85. or you could do it the way the other person who answered did it. my way is more complex

Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long. A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (in inches). Here are the results:
8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18

What is the value of the standard error of the mean?
1.256
1.324
4.992
5.262

Answers

Answer:

Option A

Step-by-step explanation:

The value of the standard error of the mean is 1.256.

We have given that,

Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long.

A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (in inches).

Here are the results,

8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18.

What is the standard error of the mean?

The standard error of the mean, or simply standard error, indicates how different the population means is likely to be from a sample mean. It tells you how much the sample means would vary if you were to repeat a study using new samples from within a single population.

Therefore, The value of the standard error of the mean is 1.256.

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For brainily please help

For brainily please help

Answers

Answer:

Yes, these create an isosceles triangle, where two sides are equivalent

25 cm by 6cm into 5 equal pieces. What is the area​

Answers

I’m pretty sure it’s 30

It costs Kobel $3.50 in tolls to drive to work and back each day, plus he uses 5 gallons of gas. It costs him a total of $23.50 to drive to work and back each day. How much per gallon is Kobe paying for his gas? How do you know? ​

Answers

The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

According to the statement

We have to find that the cost of the gas he used.

So, For this purpose, we know that the

A cost function may be a mathematical formula wont to wont to chart how production expenses will change at different output levels.

From the given information:

It costs Kobel $3.50 in tolls to drive to figure and back day after day, plus he uses 5 gallons of gas. It costs him a complete of $23.50 to drive to figure and back daily.

Then

Total money he spent = Toll cost + amount of gas she used

$23.50 = $3.50 + 5 gallons

Then

Cost of the 5 gallons = 23.50 - 3.50

Cost of the 5 gallons = 20

Then

cost of the 1 gallon gas = 20/5

cost of the 1 gallon gas = $4.

So, The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

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Solve for v. 1.25 = 0.75v + 50

Answers

i'm pretty sure it's -65

beat me up if it's wronggggg

1.The scale drawing below represents the side of a ramp in the scale drawing one inch equals three feet 1.5 base 4.5 height 2.What is the actual area in square feet of the side of the ramp.

3.How many times bigger the actual area of the triangle compared to the area found in the scale drawing

Answers

The actual are of the triangle in square feet is 30.375 square feet

The actual area is 1296 times more than the scale drawing

How to find the actual area

The actual area of the triangle is solved by calculating the area of the triangle on the image and using the scale factor

Area of a triangle is solved by

= 0.5 * base * height

base = 1.5

height = 4.5

Area of the given triangle

= 0.5 * 1.5 * 4.5

= 3.375 square inches

Applying the scale factor: one inch equals three feet

1 inch = 36 inch (3 feet)

1 square inch = 36² square feet

The actual area

= 3.375 * 36²

= 4374 square inch

converting to square feet

= 4374 * 0.00694444

= 30.375 square feet

comparing actual area with the scale drawing

= 4374 / 3.375

= 1296

So, the actual triangle is 1296 times bigger

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find the horizontal asymptote. give your answer in the form y=b, or enter ∅ if there is none. f(x)=15−x

Answers

The horizontal asymptote of the function f(x) = 15 - x is y = -1.

To find the horizontal asymptote of the function f(x) = 15 - x, we need to determine the behavior of the function as x approaches positive or negative infinity.

For this linear function, the degree of the numerator and denominator is the same (both are of degree 1). In such cases, the horizontal asymptote can be determined by looking at the coefficient of the highest power term.

In the function f(x) = 15 - x, the coefficient of the highest power term (x¹) is -1. Therefore, the horizontal asymptote is determined by the ratio of the leading coefficients, which is -1/1 or simply -1.

The horizontal asymptote is y = -1.

Therefore, the horizontal asymptote of the function f(x) = 15 - x is y = -1.

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Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.

Answers

Answer:

168.5 meters is the horizontal distance covered

Step-by-step explanation:

Here, we simply want to calculate the value of the horizontal distance traveled

This is same as calculating the horizontal component

What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent

So we make use of cos

cos 40 = x/220

x = 220 cos 40

x = 168.53 meters

To the nearest tenth, this is 168.5 meters

What will be printed by the following program? Select one: str1 = "part1" str2 = "part2" for x in str1: print (x, end=" " )
a. x×××× b. part2 c. part1 d. part2

Answers

The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

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Evaluate the expression (ab)² for a=4 and for b=3

Answers

Answer:

144

Step-by-step explanation:

(3 × 4)² = 144

You solve 3 × 4 first because parentheses come before exponents in PEMDAS.

an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.

Answers

The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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two step equation

-12r + 4=100

Answers

Answer:

-12r + 4 = 100

-12r = 100 - 4

-12r = 96

r = 96/-12

r = -8

Hi, there.

 _____

» Subtract 4 from both sides.

\(\boldsymbol{-12r=96}\)

» Divide both sides by -12.

\(\boldsymbol{r=-8}\)

Hope the answer - and explanation - made sense,

happy studying!!

State whether each of the following describes a study measuring a qualitative or quantitative variable.

1. A researcher distributes open-ended questions to participants asking how they feel when 107 they are in love.

2. A researcher records the blood pressure of participants during a task meant to induce stress.

3. A psychologist interested in drug addiction injects rats with an attention-inducing drug and then measures the rate of lever pressing.

4. A witness to a crime gives a description of the suspect to the police.

5. State whether each of the following is an example of a continuous or discrete variable.

1. Time in seconds to memorize a list of words.

2. Number of students in a statistics class.

Answers

Time in seconds to memorize a list of words is an example of a continuous variable. The number of students in a statistics class is an example of a discrete variable.

A researcher distributes open-ended questions to participants asking how they feel when they are in love. This describes a study measuring a qualitative variable, as it focuses on participants' feelings, which cannot be easily quantified or measured on a numerical scale.

A researcher records the blood pressure of participants during a task meant to induce stress. This describes a study measuring a quantitative variable, specifically blood pressure, which can be measured on a numerical scale.

A psychologist interested in drug addiction injects rats with an attention-inducing drug and then measures the rate of lever pressing. This describes a study measuring a quantitative variable, the rate of lever pressing, which can be measured and quantified on a numerical scale.

A witness to a crime gives a description of the suspect to the police. This does not describe a study measuring a variable. It is a witness providing qualitative information, but it does not involve collecting data for a formal study.

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