Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set?

Answers

Answer 1

Answer:

Mean = 81°F.

S. dev. = 5°F.

Step-by-step explanation:

When we have a set of data:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

M = (x₁ + x₂ ... + xₙ)/N

Where N is the number of data points that we have:

in this case the set is:

{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }

So N = 8.

Then the mean is:

M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8

M = 81°F.

Now, the standard deviation can be calculated as.

Sd =  √ ( (1/N)*∑(xₐ - M)^2)

where the summation is over xₐ, which represents a summation over all the points in the data set.

Then we can write the standard deviation as:

Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)

Sd = 4.58°F.

That we should round up to 5°F (because our mean has no digits after the decimal point)


Related Questions

50 POINTS Iann bought a carpet to cover 500 square feet. He wants to cover a room that is 10feet and 5 inches long by 9 feet and 7 inches. About how much will he have left over for the rest of the house?

Answers

Answer:

20.85 ft

Step-by-step explanation:

first convert 7 in to ft than add 9 to it

10×5×9.583 = 479.15ft that's how much carpet he needs for his room

500-479.15= 20.85ft left for the rest of his house

The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?

Answers

Answer:

The difference is 85 ft.

Step-by-step explanation:

Elevation 1: 50 ft

Elevation 2: -35 ft

Difference = Elevation 1 - Elevation 2

Difference = 50 - (-35)

I can simplify this expression, as subtracting a negative number is the same as adding a positive number:

Difference = 50 + 35

Difference = 85

Answer: The difference is 85 ft.

feet
12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water

Answers

Here’s the answer; it’s just a case of finding the two values and comparing them.

Danny was closest to the surface of the water.

Here,

Darcy and Danny were diving on a trip in the Bahamas.

When they stopped to look at a school of fish, Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water and Danny was 17/2 feet below the surface.

What is square root?

A square root of a number x is a number y such that [tex]y2 = x[/tex].

Now,

Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water.

⇒[tex]\sqrt{78} = 8.83[/tex]

Danny was 17/2 feet below the surface.

[tex]\frac{17}{2} = 8.5[/tex]

Clearly,  [tex]8.5 < 8.85[/tex]

Hence, Danny was closest to the surface of the water.

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The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula p=mv shows this relationship. Which equation shows the formula p=mv correctly solved for v?

A.
v=pm
B.
v=p/m
C.
v=p−m
D.
v=m/p

Answers

B cause I did the test

On solving for [v], we get v = p/m.

What is momentum?

Momentum is defined as the product of mass and velocity of a body. Mathematically, we can write vector as -

p = mv

It is a vector quantity. In a three dimensional coordinate, the momentum vector can be resolved as -

[p] = p[x] a[x] + p[y] a[y] + p[z] a[z]

[p] = m {v[x] a[x] + v[y] a[y] + v[z] a[z]}

Given is the momentum of an object whose formula is p=mv.

We have the formula for momentum as -

p = mv

We can solve for [v] as -

p = mv

Divide by [m] on both sides, we get -

p/m = mv/m

v = p/m

Therefore, on solving for [v], we get v = p/m.

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15 divided by 266 I need R

Answers

Answer:

Step-by-step explanation:

You could use a calculator or you could perform long division to find the remainder of 15/266.  There is no integer quotient, other than 0 (zero).  That means 15 is the remainder.

Supposing you were dealing with 266/15 (which is really a different problem).  This division produces an integer quotient and a remainder:

266

------- = 17 r. 11

 15

Double-check to ensure that you've copied this problem down correctly.

Which expression is equivalent to 6x2−(4x+10)−3+(4x2−5x)? 100 points and brainly for fast answer

Answers

Answer:

1

Step-by-step explanation:

12-4x-10-3+(8x-5x)

collect like terms

12-4x-10-3+(3x)

remove the parenthesis

12-4x-10-3+3x= 1

Answer:

10x² - 9x - 13

Step-by-step explanation:

6x² - (4x + 10) - 3 + (4x² - 5x)

~Remove parenthesis

6x² - 4x + 10 - 3 + 4x² - 5x

~Combine like terms

10x² - 9x - 13

Best of Luck!

what is p-9/3=2 what is p?

Answers

p-9/3 = 2

p-9 = 2×3

p-9 = 6

p = 6+9

p = 15

... Hope this will help...

What is the value of f(15) if the function is f(x)=(x)(2x+5)

Answers

Ion man ig 1+1=3 best answer

integrate x^2+5 please i need it fast

Answers

Answer:

[tex]\frac{1}{3}[/tex] x³ + 5x + c

Step-by-step explanation:

Using the power rule

∫ a[tex]x^{n}[/tex] dx = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex]

Thus

∫ x² + 5 dx

= [tex]\frac{1}{3}[/tex] x³ + 5x + c ← c is the constant of integration

Sovle for x. 2x + 6 = - r - 15

Answers

Answer:

[tex]x = \frac{-r - 21}{2}[/tex]

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.  Remember to do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 6 from both sides:

2x + 6 (-6) = -r - 15 (-6)

2x = -r + (-15 - 6)

2x = -r + (-21)

2x = - r - 21

Next, divide 2 from both sides:

[tex]\frac{2x}{2} = \frac{-r - 21}{2}[/tex]

[tex]x = \frac{-r - 21}{2}[/tex]

~

please help asap! thanks

Answers

Answer:

its the last one i believe

Step-by-step explanation:

because u have to get m by its self so

you divide 5 square from both sides and boom

whats 4x4 +65x67-5+8+9=

Answers

the answer would be 4,383

4,383  I hope I got that right, Hope it helps!

HELPPPPP
Find the sum of the series 18 +12 +8+16/3...

Answers

Answer: who knows what the answers is bruh

Step-by-step explanation:

A florist can order roses in bunches of 12 and tulips in bunches of 8. Last month she ordered the same number of roses and tulips. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations

Answers

Answer

196

Step-by-step explanation:

12*8=96+100=196

Math problem whoever answers it right gets brainlist

Answers

Answer:

the 2nd one

Step-by-step explanation:

look at it again its simple

Solve the following proportion for x. x/5 = 17/11

Answers

Answer:

x=85/11

Step-by-step explanation:

[tex]\frac{x}{5}= \frac{17}{11} \\\\5*\frac{x}{5} =\frac{17}{11} \\\\x=\frac{85}{11}[/tex]

x=85/11, you’re welcome

What is the domain of the relation {(1,-5), (2,3), (-6, -1), (2, 3), (-7, 8), (2, 3)}?

Answers

Answer:

all work is pictured and shown

Help with the ones marked in red.

Answers

Answer:

number 5 is 22

Step-by-step explanation:

The answer to 2 is 22. And distributive property

Solve this
equation for m
y = mx + b

Answers

Answer:

m is represented as the slope

Step-by-step explanation:

The answe is the first one

what is the answer to 1/4 - 2/5

Answers

Answer:

0.15

Step-by-step explanation:

longerrrrrrrrrrrrr

Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they drive along the same route how long will it take Mitchell to catch Peter?

Answers

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]

Let , time taken is x .

So , distance covered b them is equal :

[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

Use implicit differentiation to find the slope of the tangent line at the given point:

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0[/tex]

Step-by-step explanation:

We are given the equation:

[tex](x^2+y^2)^2=4x^2y[/tex]

And we want to find the slope of the tangent line at the point (1,1).

Recall that the slope of the tangent line to a point of a function is given by the function's derivative.  

Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right][/tex]

Let's do each side individually.

Left:

We can use the chain rule:

[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]

Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:

[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)[/tex]

Differentiate:

[tex]\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)[/tex]

Factor. Therefore, our left side is:

[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)[/tex]

Right:

We have:

[tex]\displaystyle \frac{d}{dx}\left[4x^2y\right][/tex]

We can move the constant multiple outside:

[tex]\displaystyle =4\frac{d}{dx}\left[x^2y\right][/tex]

We will use the Product Rule:

[tex]\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)[/tex]

Differentiate:

[tex]\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]

Therefore, our entire equation is:

[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]

To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:

[tex]\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)[/tex]

Evaluate:

[tex]\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)[/tex]

Further simplify:

[tex]\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}[/tex]

Distribute:

[tex]\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}[/tex]

Solve for dy/dx:

[tex]\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0[/tex]

Therefore, the slope of the tangent line at the point (1, 1) is 0.

A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?

Answers

answer: 43 miles :)

45-2=43 or 1(45) -2

Divide. Write the quotient in lowest terms. 4 2/3 divided by 1/2

Answers

Answer:

9 1/3

Step-by-step explanation:

4 2/3 ÷ 1/2

Write the mixed number as an improper fraction

(3 * 4 +2)/3 = 14/3

14/3 ÷1/2

Copy dot flip

14/3 * 2/1

28/3

Divide 28 by 3

9 with 1 left over

Put the left over part on top of the denominator

9 1/3

Find the equation for the vertical line that goes through point M(−2, 6).

Answers

The equation for the vertical line that goes through point M(−2, 6) is x = -2.

The equation of a straight line is:

y = mx + b;

y, x are variables, m is the slope of the line and b is the y intercept.

The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:

x = -2

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Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.

Answers

Answer:

1/4n - 3

Step-by-step explanation:

1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.

The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Emily's number can be represented as:

n

One-fourth of Emily's number can be represented as:

1/4n

Subtracting 3 from one-fourth of Emily's number gives us:

1/4n - 3

Therefore, the expression that represents Emily's number is:

n = 1/4n - 3

This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

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5) Determine the Distance between (-3, 1) and (5,-6). Round your answer 10 points
to the nearest tenth. *
22
3
4
5
-2
0
-4
-2
-3
-4
-5
-6

Answers

it is 10.63

Step-by-step explanation:

Used a calculator

Between which two integers does -13/3 lie?
A -3 and 4
B -2 and -3
C -5 and 6
D -4 and -5​

Answers

Answer:

-4 and -5

Step-by-step explanation:

- 13/3 is equal to -4.3 so this is why i think this but it maybe wrong.

Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation

Answers

Answer:

reflection

Step-by-step explanation:

this is a reflection off y=-x

BRUH SOMEONE HELP ME

also explain:)

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

So we have the function:

[tex]w(x)=3x-7[/tex]

And we want to find x when w(x) is 14.

So, substitute 14 for w(x):

[tex]14=3x-7[/tex]

Add 7 to both sides. The right cancels:

[tex]21=3x[/tex]

Divide both sides by 3:

[tex]x=7[/tex]

So, the value of x is 7.

The correct answer is the first option.

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