Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.

sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6

What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.

Answers

Answer 1

Answer:

135.6

i think

Step-by-step explanation:

Answer 2

Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.

Given that, the population data set is 87, 46, 90, 78, and 89.

Here, mean = [tex]\bar x[/tex] =78 and n=5

We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].

Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5

= (9²+(-32)²+12²+0²+11²)/5

= (81+1024+144+121)/5

= 1370/5

= 274

So, the variance is 274.

Therefore, option C is the correct answer.

Learn more about the variance here:

https://brainly.com/question/29615374.

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Related Questions

9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3. ​

Answers

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

Aiden invested $98,000 in an account paying an interest rate of 2 % compounded
continuously. Autumn invested $98,000 in an account paying an interest rate of 2%
compounded quarterly. After 11 years, how much more money would Autumn have in
her account than Aiden, to the nearest dollar?

Answers

Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

explain the difference between 10°C and -10°C on a Thermometer​

Answers

Answer:

10°C is above ice point while -10°C is below ice point

A number cube with the numbers 1 through 6 is rolled. Find the given probability

Answers

Answer:

1/6

Step-by-step explanation:

The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd

Answers

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

Hi! Please explain how you got your answer thanks! :)) ​

Answers

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.

Answers

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE

Answers

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

helpppp pleaseeee thank you

Answers

The answer is D. 100.6
i wiuld put D as the answer , good luck

PLZ HELP ME I WAS STUCK ON THIS FOR 30 MINS WILL GIVE BRAINLIST

Answers

Answer:

Step-by-step explanation:

6^3 is the error, 6^3 is 216.

the correct volume is   904.32

Answer:

Step-by-step explanation:

6³ is not equal to 18, that is 6x3

6³= 6x6x6=216

so the correct volume is V= 904.7 cm³

Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%

Answers

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

please help! :) I need the answer quick

Answers

Answer:no clue

Step-by-step explanation:

i need the points im sorry

Answer:

x ≈ 2.3

Step-by-step explanation:

Given

x³ = 12 ( take the cube root of both sides )

x = [tex]\sqrt[3]{12}[/tex] ≈ 2.3 ( to 1 dec. place )

find the value of x *​

Answers

Answer:

5 2/5 seems right to me

Step-by-step explanation:

filler filler filler

Meagan and jake both live on the same street that the librarian is on.Megan lives 3.5 blicks north of the library,and jake lives 4.5 blocks south of the library.How many blpcks apart do jake and meagan live.

Answers

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake)  houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

what initial value y=16 (0.75)x

Answers

Answer:

The initial value is;

y = 16

Step-by-step explanation:

Here, we want to get the initial value of y

Generally, for an exponential function,

we have the form as;

y = a•b^x

where the initial value is the value we have when x = 0

Looking at the given function, substituting x = 0

We have the function as;

y = 16(0.75)^0

y = 16 * 1

y = 16

So the initial value is 16

PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.

Answers

Answer:

d = 15.8 m

Step-by-step explanation:

Apply the Pythagorean Theorem to find the length of the diagonal.  The correct equation for this particular rectangle is

d = √(9² + 13²) = √250 = √25·√10 = 5√10

To the nearest tenth, this comes to d = 15.8 m

Answer: 15.8

Step-by-step explanation:

PLEASEEE HELP. ITS REALLY IMPORTANT

Answers

Step-by-step explanation:

Hey there!

In (a) part we can see that a person delivers approximately 120 newspapers in 3 hours. Kate will deliver 30 × 3 = 90 newspapers. So, (a) part is the answer.

In (b) part, a person delivers 40 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers. So, Kate is faster, (b) option cancelled.

In (c) a person delivers 110 newspapers in 4.5 hours. Kate will deliver 30 × 4.5 = 135 papers, that's again greater. Option (c) cancelled.

Option (d), we can easily cancel it out. But I'm showing the work; a person delivers 20 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers, much faster than the person.

Hence option (a) is the answer.

Hope it helps :)

Rosa want to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.

Answers

Answer:

$405,44

Step-by-step explanation:

Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x

Steps: x = (15 x 499.99)/100 = $74.9985

499.99 - 74.9985 = $424,9915

x = (424,9915 x 10)/100 = $42,49915

424,9915 - 42,49915 = $382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

That can be rewritten as $405,44.

I hope that helped :)

Kevin is making trail mix for his hike tomorrow. He has 9
cups of candy coated peanuts, and 2 cups of granola.
How many bags can he make without having any
ingredients left over, but with every bag having the exact
same ratio of peanuts to granola?

Answers

Answer:

2

Step-by-step explanation:

Please help me out please

Answers

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

y – 1.02 = 4.7
solve for y

Answers

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.

Answers

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

I need help on this math question

Answers

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

4/5. Slope = rise/ run. You “rise” 4 units and “run” 5. So the slope is 4/5

The product of 3 and 2, increased by 5 to the second power , minus the quotient and 8 and 2

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Solve the equation for x.


-x/10 = 7


x = _______

Answers

You first multiple by 10 to both sides
-x=70
Then divide by -1
X=-70

Answer:

x = -70

Step-by-step explanation:

-x/10 = 7

=> -x = 7 x 10

=> -x = 70

=> x = -70

Question 1 of 14
Sofia's family members are choosing numbers to see in
what order they will choose gifts. They will spin a spinner
with eight sections. The sections are numbered 1 through
8, and all sections are the same size.
What is the probability of spinning a number greater than 3?
A.
8
5
B.
3
8
8

Answers

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

If you flip a coin 7 times what is the probability that you will get exactly 2 tails

Answers

Answer:

The answer is 2/7.

Step-by-step explanation:

If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.

Hope this helps!

-Luna

are these two lines parallel , explain or show your reasoning ?

Answers

yes they are parallel lines because they do not meet. they are straight lines

yes, they arent intersecting and they have the same slope

What is the circumference of the given circle? Calculate your answer to 2 decimal place value.

Answers

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

Can someone help find what C is?

Answers

Answer:

the first one is 10

the second one is 12.65

Step-by-step explanation:

hope this will help u

Hello there!

Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].

For problem number 7, we plug 6 and 8 in for a and b. Like this:

[tex]6^{2} + 8^{2} = c^{2}[/tex]

Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.

64 + 36 = 100

Then, we take the square root of 100 to get c.

[tex]\sqrt{100} = 10[/tex]

(There's something special about this triangle. If you want I'll tell you about it in the comments.)

For problem number 8, we do the same exact thing.

[tex]4^{2} + 12^{2} = c^{2}[/tex]

[tex]4^{2} = 16[/tex]  and  [tex]12^{2} = 144[/tex]

[tex]144 + 16 = 160[/tex]

[tex]\sqrt{160} = 8\sqrt{10}[/tex]

I hope this helps!!

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