After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches?

Answers

Answer 1

Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

Answer 2

Answer:

Step-by-step explanation:

99.87 for Knewton Alta


Related Questions

A company finds that on average, they use 43 minutes for each meeting. An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings. If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information? Drag and drop the correct number into the box. Response area

Answers

Answer:

220 just took the test

Step-by-step explanation:

Answer:

your answer is 220 :)

If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?

Answers

Answer:

7m

Step-by-step explanation:

In an equilateral triangle all the sides and angles are the same

I believe the answer is 8m

Find the GCF of 32, 64, and 96. The GCF is _______.

Answers

Answer:

128

Step-by-step explanation:

If you multiply you get it.

Answer:

The GCF of these numbers are 32.

Step-by-step explanation:

All of these integers are able to be divided, and by the first number.

Hope this helps! :3

(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ

Answers

Answer:

See below

Step-by-step explanation:

[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]

Thus proved

Hell and thanks please

Answers

Answer:

A

Step-by-step explanation:

PLEASE ANSWER ASAP Find the slope of the line

Answers

Answer:

4

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.

Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]

Solve the inequality: 13 – n + 2n > 9

Answers

Answer:

n > -4

Step-by-step explanation:

1) Combine like terms.

13 + n > 9

2) Isolate n. (subtract 13 from both sides)

n > -4

3)m I really need help

Answers

Answer:  angle ULM = 120 degrees.

====================================================

Explanation:

We'll use the angle addition postulate. This is basically the idea where we can break any angle into smaller parts, or go in reverse to build up larger angles based on smaller pieces.

In this case, we can see that the smaller angles KLU and ULM combine to form the largest angle KLM. Think of it like puzzle pieces.

Let x be the measure of angle ULM

We can say the following

(angle KLU) + (angle ULM) = angle KLM

(36) + (x) = 156

36 + x = 156

To solve for x, we subtract 36 from both sides

36+x-36 = 156-36

x = 120

Angle ULM is 120 degrees.

-------------------

As a check,

(angle KLU) + (angle ULM) = 36 + 120 = 156

which matches with angle KLM, so the answer is confirmed.

ULM = KLM - KLU

ULM = 156 - 36

ULM = 120 degrees


30+3000??????????????????​

Answers

Answer:

3030

Step-by-step explanation:

it is the right answer wen you add it up

3/8 of the homes have a red door how many homes have a red door​

Answers

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

write 13.28 as a fraction in the lowest term​

Answers

Answer:

13 wholes and 7/25

Step-by-step explanation:

write 28 over 100 and just simplify but don't forget 13

Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3)

Answers

Answer:

The answer is "(27,3]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\to f(-5) = (-5)^2 + 2 = 25 +2 =27\\\\\to f(7)= 7-4 = 3\\\\answer \ is = ( 27, 3]\[/tex]

Answer

(27,3]

Step-by-step explanation:

Correct In HW

Helllppppppp. A wheelbarrow has a wheel with a diameter of 10 in. What is the distance, in
inches, that the wheelbarrow moves after 16 full rotations of the wheel?

Answers

Answer:

160 in.

Step-by-step explanation:

10 *  16 = 160

brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d days​

Answers

Answer:

420d

Step-by-step explanation:

We know that he earns 420 every day. So if we want to know how much he earns over 5 days for example, we would multiply 5 and 420...
5 X 420= 2,100
We would do the same thing no matter how many days he works.
* remember that in an algebraic expression having a variable and a constant next to each other indicates that they are being multiplied.

So we can write that as
Money earned= 420d

What is the domain and range of y=2x+5

Answers

-5/2 or x=-2 1/2, x=-2.5

find the equation of circle whose centre is at (3,4) and passing through (1,5)​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex](x-3)^{2} + (y-4)^{2} = r^{2} \\\\(1-3)^{2} + (5-4)^{2} = r^{2}\\r^{2} = 5 \\so the equation is \\(x-3)^{2} + (y-4)^{2} = 5[/tex]

Step-by-step explanation:

Which set of data is most accurately represented by a logarithmic model?

Answers

Help I’ll mark you brainly!ununubyvybyvybybybybybybybybbybyubybybybbybybybbybyybybbyybbyububbububu

2. Multiply the following:
a. 3.5(x)

Answers

Answer:

3.5x

Step-by-step explanation:

3.5(x)=3.5x

The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time


male employees who have at least a bachelor's degree can be modeled by the function


M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the


median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at


least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where


x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.


Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in


2006. Round to the nearest dollar.


The median weekly earnings of a female employee in 2006 is about

Answers

Answer:

890.908

Step-by-step explanation:

Given that :

Median weekly salary for males :

M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6

x = number of years after 1980

Median weekly salary for all employees :

T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3

Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006

Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)

F(x) = T(x) - M(x)

F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)

F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)

F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7

x = 2006 - 1980 = 26

F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7

0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908

=

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.

Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.

Answers

Answer:

The more hours she worked the more donations she would receive.

Step-by-step explanation:

In the chart the higher the number of how many hours she worked resulted in a higher amount of donations

The association between the variables is strong and positive.

The equation of a straight line is given by y = mx + c.  can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.

From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.

Learn more about association of variable: https://brainly.com/question/2426761

the mass of a rock same is 25 g and its density is d5d/cm cubed. What is the volume of the rock?

Answers

Answer:

וודי מסיפור הצעצועים יזיין אותך בלילה

Step-by-step explanation:

In San Diego, the weather was sunny 90% of the says this past June. How many days was it sunny​

Answers

Answer:

27 days

Step-by-step explanation:

June has 30 days, So our equation looks like this:

30*0.9=27 days.

7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?

Answers

Answer:

The number of different 7 card hands possibility is  133784560

Step-by-step explanation:

The computation of the number of different 7 card hands possibility is shown below:

Here we use the combination as the orders of choosing it is not significant

So,

The number of the different hands possible would be

= [tex]^{52}C_7[/tex]

= 52! ÷ (7! × (52 - 7)!)

= 133784560

Hence, the number of different 7 card hands possibility is  133784560

Which is NOT the graph of a function?
Οε:
te

Answers

answer:
D

explanation:
I think it’s C because it’s not connected and it’s on the actual line

Resuelve la ecuación de la recta
que pasa por el punto (2 , 8 ) y tiene una pendiente de -3.
ayudaaaa

Answers

Answer:

SPANISH TALK ENGLISH OK

Step-by-step explanation:

OKKK

Find the deposit required to accumulate $7700 after investing 3 years in an account that pays an APR of 5% compounded quarterly. How much is earned in interest?

Answers

Answer:

The deposit required is $6633.62   and the interest earned is $366.38

Step-by-step explanation:

Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.

To find the principal P, we solve the previous equation for P as follows:

[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]

Substituting:

[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]

[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]

P=$6633.62  

The interest earned is:

I = A - P = $7700 - $6633.62 = $366.38

The deposit required is $6633.62   and the interest earned is $366.38

hellpppppp please I will give brainliest ​

Answers

Answer:

y=3x+4

Step-by-step explanation:

Minus one thousand ,eight hundred and five point nine six as a number

Answers

Answer:

-1805.96

Step-by-step explanation:

I think that is the answer

Answer:

-9805.96 this is the answer

What is the slope of the line?

Answers

The slope would be 1.75 I used desmos to get this answer but you can also use the formula. The y intercept is -1.25 if you need that later on.

Answer:

slope = 7/4

Step-by-step explanation:

slope is found by figuring the change in y-values over the change in x-values.  Look for points on the line that go through an intersection of the graph lines exactly.  I found the points (3, 4) and (-1, -3)

difference of y/difference of x = 4-(-3) / 3-(-1)   =  7/4

Graph: f (x)=−2/3 x−3

Answers

Answer:

-2/3 x-3 graphed will look whit the line going down the negative side (bottom left) of the graph and also passing the (right bottom side of the graph) the points will be  (0,-3)

Step-by-step explanation:

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