The annual rainfall in a town has a mean of 51.84 inches and a standard deviation of 8.05 inches. Last year there was rainfall of 63 inches. How many standard deviations away from the mean is that

Answers

Answer 1

It is 1.39 standard devaitions away from the mean.

Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.

The amount of rainfall last year was X = 63 inches.

The difference between X and the mean x is d = X - x

= 63 - 51.84 in

= 11.16 in

To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.

So, n = d/σ

= 11.16 in/8.05 in

= 1.39

So, it is 1.39 standard devaitions away from the mean.

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Related Questions

1.5a + 6 = 9a + 12
please answer quick i hate math

Answers

Answer:

-0.8

Step-by-step explanation:

First move the variable terms to one side of the equal sign. I always move the smallest to the largest.

[tex]1.5a + 6 = 9a + 12 \\ - 1.5a \: \: \: \: \: \: \: \: \ \: - 1.5a[/tex]

Solve and move the constants to opposite side. I'm going to subtract 12 from both sides.

[tex] 6 = 7.5a + 12 \\ - 12 \: \: - 12[/tex]

Now solve for a by dividing both sides by 7.5

[tex] \frac{ - 6}{7.5} = \frac{7.5a}{7.5} [/tex]

[tex]a = - 0.8[/tex]

A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days? ​

Answers

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

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According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?

Answers

Answer:

Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation:

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m

How could you correctly write the equation4(10+5)=6(12-2)

Answers

You multiply and it will be a no solution problem

Who is the general information of acounting

Answers

Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

what is the absolute value for 115 and 15

Answers

They are the same because it only affects negative numbers. If it is a negative number then it is the same number just positive.

Fill in the missing
numbers?
?•(-10) = 90

Answers

Answer:

?=-9

Step-by-step explanation:

A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90

What is the meaning of algebra and expressions

Answers

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio

Answer:

Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.

Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.  

Examples:

• 2 + 3 is an expression

• 3 − x/2 is also an expression

Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60​

Answers

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=23(0.292)^x

what is the % increase

Answers

Answer:

Decay

since 0.292 is less than 1

% rate of decrease

1 - 0.292 = 0.708

70.8%

if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.

Answers

Answer:yes

Step-by-step explanation:

Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%

One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)​

Answers

Answer:

P(~7) = 12/13

Step-by-step explanation:

There are 4 sevens in a normal deck of cards.

Therefore there are 48 cards out of 52 that are not 7.

P(~7) = 48/52 simplified, it is 12/13

What is
[tex] \frac{4}{60} [/tex]
simplified?​

Answers

Answer:

1/15

Step-by-step explanation:

4/60

Divide the top and bottom by 4

4/4 =1

60/4= 15

1/15

Please help me help please please help me please

Answers

Answer:

y = 3x + 1 is the answer

Hello there! :)

The slope of this line is 3.

There are lots of ways to calculate the slope.

Here's one of them:

Rise/Run

Here, the rise is 3 (we move up 3 units)

And the run is 1 (we move 1 unit to the right)

3/1=3

So the slope is 3.

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 1.

So the equation is

y=3x+1

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest!

[tex]MysteriousNature :)[/tex]

Could you help me to solve this

Answers

Answer:

No, sorry about that, buddy, I cannot.

What the value of the angle marked with x is

Answers

Answer:4.1 i think correct if im worng sorry

Step-by-step explanation:

Answer:

x = 146°

Step-by-step explanation:

this shape is a rhombus and one property is that adjacent angles are supplementary

therefore, 'x' + 34 = 180

'x' = 180-34

'x' = 146

There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.

Answers

Answer:

Step-by-step explanation:

order is not important so

25 ways to fill the first spot

24 ways to fill the second

23 ways to fill the third

...

19  ways to fill the 7th

25•24•23•22•21•20•19 = 2,422,728,000

which also equals 25! / (25 - 7)!

If an item is $6.49 for 36 ounces, then it is $

Answers

Answer:

0.18

Step-by-step explanation:

0.18


Do it step by step

What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5

Answers

Answer:

[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]

Step-by-step explanation:

The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]

The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]

Simplify.
1) 448
A) 5V3
C) 12V2
B) 8V
D) 10v2

Answers

Answer:

B

Step-by-step explanation:

The square root of 448 rounded up to 6 decimal places is 21.166010. It is the positive solution of the equation x2 = 448. We can express the square root of 448 in its lowest radical form as 8 √7.

2x+5y=(-24),3x+y=(-10) solve for using elimination method

Answers

Answer:

x equals -2 and y equals−4

Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?

Answers

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing

Evaluate this function: h(t) = |t+2| + 3; Find h(6)

Answers

Answer:

Step-by-step explanation:

h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11

This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.

When graphed, all of the points in the table lie on the same line.

What is the slope and y-intercept of the line?

Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480

Answers

Answer:

The answer is slope: -32 y-intercept:480

Step-by-step explanation:

I took the test

Answer: slope -32 y-intercept 480

Step-by-step explanation:

Took the k12 test

Solve 12x- 6y = 18 for y.

Answers

12x - 6y = 18
Subtract 12x
-6y = -12x + 18
Divide by -6
Y = 2x - 3

The given equation solved for y as y=2x-3.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 12x-6y=18.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The equation can be solved as follows

6(2x-y)=18

⇒ 2x-y=3

⇒ y=2x-3

Therefore, the given equation solved for y as y=2x-3.

To learn more about an equation visit:

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Each day, a restaurant serves x meals that consist of 1/4 of a chicken each. It also makes soup
using 1/2 of a chicken each day. The chef expresses the number of chickens she uses each day
1/4x+1/2. How many chickens does she use in three days?

Answers

Answer:

2 1/4

Step-by-step explanation:

What is tan(50)?


-.57


5.88


2.36


1.19

Answers

Answer:

1.19

Step-by-step explanation:

tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918

Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.


The smaller angle measures =?

The larger angle measures =?

Answers

Answer:

The smaller angle measures = 60º

The larger angle measures = 120º

Step-by-step explanation:

The sum of angles in linear pair is 180

The measure of one angle is twice the measure of the other angle.

x + 2x = 180

Combine like terms

3x = 180

Divide both sides by 3

x = 60º

2x = 120º

60 twelve minus 13 twelve

Answers

Answer:

47 twelve

Step-by-step explanation:

hope it's help

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