write a table to show your steps for calculating the standard deviation and then use your table to calculate the standard deviation of the values listed:

10, 11, 12, 10.5, 11.25, 12.25, 10

Answers

Answer 1

Answer:

The standard deviation for the given data set is 1.65.

Step-by-step explanation:

The Standard Deviation is defined as

[tex]\sigma =\sqrt{\frac{\Sigma (x_{i} -\mu)^{2} }{N-1} }[/tex]

Where [tex]\sigma[/tex] is the standard deviation, [tex]\mu[/tex] is the mean and [tex]N[/tex] is the total number of data.

So, first, we need to find the mean of the data set.

[tex]\mu = \frac{10+11+12+10.5+11.25+12.25+10}{7} =11[/tex]

Now, we have to subtract each data with the mean to then elevate the differnece to the square power.

[tex]10-11 = -1 \implies (-1)^{2}=1\\ 11-11 = 0 \\12-11 = 1 \implies 1^{2}=1\\ 10.5-11 = -0.5 \implies (-0.5)^{2} =0.25\\11.25 - 11 = 0.25 \imples (1.25)^{2}=0.0625\\12.25 - 11 = 1.25 \implies (1.25)^{2}=1.5625\\10-11 = -1 \implies (-1)^{2}=1[/tex]

Then, we sum all these results.

[tex]\Sigma (x_{i}- \mu )^{2}=1+0+1+0.25+0.0625+1.5625+1=16.278[/tex]

Next, we divide the sum by [tex]N-1=7-1=6[/tex]

[tex]\frac{\Sigma (x_{i}-\mu )^{2} }{N-1}=\frac{16.278}{6} \approx 2.713[/tex]

Finally, we apply the square root.

[tex]\sigma = \sqrt{2.713} \approx 1.65[/tex]

Therefore, the standard deviation for the given data set is 1.65.


Related Questions

-3(4x+5) please help

Answers

Answer:
-12x-15
explanation:
you multiply -3 by 4x, gives u -12x and then you multiply -3 by 15 which gives you -15
then you put it in an equation
-12x-15

A floor plan (shown above) has a scale where 12 inch corresponds to 6 feet of the actual home. What is the actual area of Alexis’ room?


A. 4 square feet

B. 16 square feet

C. 64 square feet

D. 144 square feet

Answers

Answer:

D. 114ft2

Step-by-step explanation:

So i checked the question online and i believe the part "a scale where 12 inch corresponds to 6 feet" should be "a scale where 1/2 inch corresponds to 6 feet"

In that case, a scale where 1/2 inch corresponds to 6 feet means

scale = 1inch to 12 feet

On the floor plan, Alexis' room is 1in by 1in

-> in reality, alexis' room is 12ft by 12ft

-> a scale where 1/2 inch corresponds to 6 feet

help me out pleaseeeee

Answers

Answer:

c) Quadratic Formula

The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
to determine the zeros of h(x). Show your work and explain how you could
also find the zeros on the graph of h(x) on paper, but ONLY enter the zeros
as your answer on the form.

(this question was from a google form)

Answers

Answer:

The zeros are x = 1 and x = 3

In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.

Step-by-step explanation:

Given the expression:

x² - 4x + 3

Rewrite -4x term:

x² - x - 3x + 3

Take x as common factor in the first terms, and -3 in the last terms:

x(x - 1) - 3(x - 1)

Take (x - 1) as common factor:

h(x) = (x - 1)(x - 3)

There are 45 balloons at a party, 25 blue and 20 green. What is the ratio of
blue balloons to green balloons at the party?
A. 5:3
B. 3:5
c. 5:4
D. 4:5

Answers

Answer:

C

Step-by-step explanation:

If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.

Answer:

5: 4

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 18.9 in and a base with a

circumference of 15 in. Round your answer to the nearest tenth of a cubic inch

Answers

Answer:

The volume of the cone is:

112.6 cubic inches.

Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

Cone volume = (1/3) PI * r ^ 2 * h

Where:

r = radius.

h = height.

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

Circumference = PI * Diameter.

When clearing you get:

Diameter = circumference / PI

By replacing the data you get:

Diameter = 15 inches / PI Diameter = 4.77 inches.

Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:

Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in Cone volume = 112.581541 in^3 Cone volume = 112.6 in^3

Answer:

112.8 in  

Step-by-step explanation:

To the nearest millimeter, a cell phone is 99 mm long and 78 mm wide. What is the ratio of the width to the length?

Answers

It asked for width to length, so it is really important to put the width on top and the length on bottom.

46mm

_____

84mm

Reduce the fraction, if you can use a calculator you do not need to show this part.

46/2

____

84/2

Simplify assume that no denominator is equal to zero (a^5b^3)(a^3b^5)

Answers

Answer:

[tex]a^{8} b^{8}[/tex]

Step-by-step explanation:

First, remember that [tex]x^{a} *x^{b} =x^{a+b}[/tex]

[tex]a^{5+3} b^{3+5}[/tex]

Simplify (5+3 and 3+5)

[tex]a^{8} b^{8}[/tex]

Hope this helped! :]

Answer:

Step-by-step explanation:

hello :

(a^5b^3)(a^3b^5)=a^8b^8=(ab)^8

Find the volume. The diameter is 32 meters.

Answers

Answer:

17,148.58

Step-by-step explanation:

[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58[/tex]

Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?

Answers

Answer:

4 feet or 3.5 feet

Step-by-step explanation:

if 12 inches equals a foot then you divide 42 by 12

which gives you 3.5

can anyone help me on this cant get it​

Answers

Answer:

Yeah it's D

Step-by-step explanation:

Given f(x) = 2x2 − 3 and g(x) = x + 8, identify g(f(4)). Show your work.

Answers

Answer:

37

Step-by-step explanation:

[tex]f(4)=2(4)^2-3=\\\\2(16)-3=\\\\32-3=\\\\29\\\\g(29)=29+8=\\\\\boxed{37}[/tex]

Hope this helps!

Answer:

idk

Step-by-step explanation:

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
rows of four as shown

What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches

Answers

Answer:

the correct answer is b .

Step-by-step explanation:

B is the intersection of line AC and line ED. Find the measure of each of the angles.

The measure of angle ABF
The measure of angle ABD
The measure of angle EBC
The measure of angle FBC
The measure of angle DBG

Answers

Answer:

m∠ ABF = 130°, m∠ ABD = 50°, m∠ EBC = 70°, m∠ FBC = 50°, m ∠ DBG = 45°

Step-by-step explanation:

Take a look at the picture below;

help me please, its due at night today!!!

Answers

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square  = side *side

                          = 12 * 12

                          = 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

The picture has the question and possible answers

Answers

Answer:

maybe the fourth one....

Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon

Answers

Answer:

the answer is (1,5,6,35) or (1.5,-2,33

Step-by-step explanation:

Choose the single logarithmic expression
that is equivalent to the one shown
log 2 + log 4 - log 7​

Answers

Answer:

The answer is A. log(8/7)

Step-by-step explanation:

Mr. Riojas is building his children a sandbox that is shaped like a triangular prism. He uses 7-foot-long wooden beams for each 'side of the base. He measures the height of the triangular base to be 6.1 feet. If he makes the sandbox 1 foot tall, how much sand will he need to fill it?

Answers

Answer:

21.35 [tex]ft^{3}[/tex]

Step-by-step explanation:

It is given that the box is a triangular prism.

Side of Base of prism = 7 ft

Height of Base of prism = 6.1 ft

Area of a triangle is given as:

[tex]B = \dfrac{1}{2} \times \text {Base} \times \text{Height}[/tex]

[tex]\Rightarrow \dfrac{1}{2} \times 7 \times 6.1\\\Rightarrow 21.35\ ft^{2}[/tex]

Volume of a prism is:

[tex]V = B \times h[/tex]

B is the area of base of prism

h is the height of prism

Here, h = 1 foot

So, V = 21.35 [tex]\times[/tex] 1

Volume of prism is = 21.35 [tex]ft^{3}[/tex]

Sand required to fill the triangular prism shape box is 21.35 [tex]ft^{3}[/tex].

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

Answers

Answer:

the correct one is 1. 16x - 12(1 + 2x) + 4

Step-by-step explanation:

16x−12−24x+4 is equivalent to 8x-8

1.  16x - 12(1 + 2x) + 4 is equivalent to 8x-8

2.  40x-16 is equivalent to 8(5x−2)

3.  4 - 12 + (2x - 3x) is equivalent to −x−8

4.   -8(x+1) is equivalent to −8x−8

A car dealership sold 78 cars in April. The dealership wants to increase the number of cars sold by 30% in
May. How many cars will the dealership need to sell to reach their goal?

Answers

Answer:

111 cars

Step-by-step explanation:

30% of 78 is

78×30%=78×0.3=23.4

Cars needed to sell

78+23.4=111.4

Unless we can't have 0.4 of a car, we need to round that number, so 111.4≈111

The number of cars the dealership need to sell in May to reach their goal is 101.4 cars.

Given the following data:

Number of cars sold in April = 78 carsPercentage increase = 30%

To find the number of cars the dealership need to sell to reach their goal:

Mathematically, percentage increase is given by the formula:

[tex]Perecent\;increase = \frac{New\;value - Old\;value}{Old\;value} \times 100[/tex]

Substituting the given parameters into the formula, we have;

[tex]30 = \frac{New\;value -78}{78}\times 100\\\\2340=100New\;value -7800\\\\100New\;value = 7800+2340\\\\100New\;value=10140\\\\New\;value=\frac{10140}{100}[/tex]

New value = 101.4 cars

Read more: https://brainly.com/question/16068904

Find the area to the rhombus

Answers

Answer:

120 cm^2

Step-by-step explanation:

area of a rhombus is pq/2

that means that the product of the two diagonals divided by 2 is the area of the rhombus.

so that means one diagonal is 24 and one is 10, (we are given what half of both diagonals are so just multiply by 2)

now put it in the formula

24x10 = 240

now divide by 2

240/2 = 120

check again with google if u disagree



The price of a 5-minute phone call is $1.75. What is the price of a 12-minute phone call?
The price of a 12-minute phone call is?

Answers

Answer:

$4.20

Step-by-step explanation:

you first do 1.75 divided by 5 which gives you .35

so you do .35 times 12 which gives you 4.2

The price of a 12-minute phone call is  $4.2.

We have given that,

The price of a 5-minute phone call is $1.75.

We have to determine, the price of a 12-minute phone call.

What is the price?

A price is the (usually not negative) quantity of payment or compensation given by one party to another in return for goods or services.

We first 1.75 divided by 5 which gives you .35

That is,

[tex]\frac{1.75}{5} =0.35[/tex]

[tex](0.35)( 4)=4.2[/tex]

0 .35 times 12 which gives  $4.2.

Therefore the price of a 12-minute phone call is  $4.2.

To learn more about the price visit:

https://brainly.com/question/1153322

I need help!! ASAP please and thank you!!

Answers

Answer:

5 x 18 = 5 x 2 x 9

5 x 18 = 90

Step-by-step explanation:

For the first equation, notice that 18 is broken into 9 and an unknown.

This can be written as:

18 ÷ 9 = ?

Well, 18 divided by 9 equals 2.

18 ÷ 9 = 2

We can use this to answer the second equation.

Instead of trying to multiply 5 and 18, multiply 5 and 2 first.

5 x 18 = 5 x 2 x 9

5 x 18 = 10 x 9

Now, just multiply 10 and 9.

5 x 18 = 10 x 9

5 x 18 = 90

Therefore, the product of 5 and 18 is 80.

7) Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
No money is deposited or withdrawn from the account. Using the formula below, determine,
to the nearest cent, how much this investment will be worth in 18 years. (A = amount,
P = principal, r= interest rate, n = number of times the interest rate compounded annually,
1 = time in years] [Show all work.]
A = P(1 + r/n)^nt

Answers

Answer: $9362.36

Step-by-step explanation:

A = P(1 + r/n)^nt

After 18 years, this investment will be worth of  $9,379.45.

What is compounded interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,

P = Initial amount

R = Annual rate of interest as a percentage

n = Number of compounding periods in a given time

Given,  Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.

From the above formula of compound interest

Total amount  A = P(1 + r/n)^nt

In our case

p = 5000

r = 3.5%

t = 18 years

Thus,

Total amount = 5000( 1 + 3.5%)^18

Total amount = $9,379.45

therefore, this investment will be worth $9,379.45 after 18 years.

Learn more about compounded interest here:

https://brainly.com/question/14295570

#SPJ1

How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many

Answers

Answer:

one solution

Step-by-step explanation:

Given

3(x - 2) = 22 - x ← distribute parenthesis on left side

3x - 6 = 22 - x ( add x to both sides )

4x - 6 = 22 ( add 6 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

An equation can either have a solution, no solution or infinite many solutions

The equation has one solution.

The equation is given as:

[tex]\mathbf{3(x - 2) = 22 - x}[/tex]

Open bracket

[tex]\mathbf{3x - 6 = 22 - x}[/tex]

Collect like terms

[tex]\mathbf{3x + x = 6 + 22}[/tex]

Evaluate like terms

[tex]\mathbf{4x = 28}[/tex]

Divide both sided by 4

[tex]\mathbf{x = 7}[/tex]

The above equation is true for x = 7

This means that: the equation has one solution.

Read more about equation solutions at:

https://brainly.com/question/2497547

30 POINTS AND BRAINLIEST YK U WANT IT! PLZ ANSWER LOL!

Answers

Answer:

What needs to be answered? There's no question.

Step-by-step explanation:

there is no question .

What is the equation of the circle in general form

Answers

Answer:

(x - 3)^2 + (y - 5)^2 = (√89)^2

Step-by-step explanation:

Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).

The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.

So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2

Now, all you have to do is find the radius.

You can do this by connecting the point (-5, 0) to the center.

You will have to use the distance formula:

√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89

The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2

This is the general idea, but my answer may not be correct, so check my steps.

6x + 7 = 67


13


6


10


12

Answers

Answer:

x = 10

Step-by-step explanation:

6x + 7 = 67

Subtract 7 from each side

6x + 7-7 = 67-7

6x = 60

Divide each side by 6

6x/6 = 60/6

x = 10

Answer:

10

Step-by-step explanation:

1) 6x = 67 - 7

2) 6x = 60

3) x = 60/6

4) x = 10

Please mark me as brainliest...it would mean a lot

A bride is going to choose 4 bridesmaids from a group of 10. In how many ways can she choose 4 bridesmaids?

Answers

Answer:

210

Step-by-step explanation:

This is the problem of combination.

Number of ways of choosing x thing out n different thing is given by

[tex]{n \choose x} = n!/x!(n-x)![/tex]

___________________________________________

The number of bridesmaids = 10

number of bridesmaids, bride can choose = 4

Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids  is given by

[tex]{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210[/tex]

Thus,  in 210  ways can she choose 4 bridesmaids.

Answer:          210

Step-by-step explanation:

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(6) According to a recent study, children who engage in the arts regularly are four times more likely than others to participate in math and science fairs, to win an award for writing an essay or poem, or to be recognized for academic achievement. (7) Besides academic achievement, art and music also help to develop children's motor skills. (8) Activities such as playing an instrument or making a painting using a paintbrush or a crayon help to develop a child's fine motor skills. (9) Some students lack confidence or suffer from stage fright at school. (10) If these children are given the chance to participate in a school play, to practice singing, or to play an instrument in front of a crowd, it will help to boost their confidence. (11) It also increases the level of focus in students. (12) When students practice art and music repeatedly to master the skill, they improve their concentration and focus as well. 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