HELP ASAP
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.

s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.

What is the first error he made in computing the standard deviation?

SOMEONE HELP ASAP

Answers

Answer 1

The mistake he made is that he Yuri divided by n instead of n -1.

What mistake did he make?

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group.

In order to determine the standard deviation, take the following steps:

• Determine the mean of the observation: 14

Determine the difference between each value and the mean and then square the result: (12 - 14)² + (14 - 14)² + (9 - 14)² + (21 - 14)² = 78

Determine the mean of the sum of the squared differences and then find the square root of the mean: √78/(n - 1) = 5.1

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Answer 2

Answer:

Yuri divided by n instead of n -1.

Step-by-step explanation:

The answer above is correct.

Related Questions

WILL GIVE BRAINLISEST AND 60 POINTS !!!!
Question 5(Multiple Choice Worth 4 points)
(04.04)
Which graph represents a linear function?

Answers

Answer:

3rd one

Step-by-step explanation:

it is the only one with a function and a straight line

Select the correct answer.
The figure shows a vertical cross section of a sphere inscribed in a right cone.

A vertical cross section of a sphere inside a cone has a radius labeled lowercase r. The height of the cone is 12 centimeters. The half-length of the face of the cone is 5 centimeters.

Find the volume of the sphere in terms of π.

Answers

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

a = 22.61°

Then in triangle ΔABC, we have

sin 22.61° = r / (12 - r)

0.38 = r / (12 - r)

4.62 - 0.38r = r

1.38r = 4.62

r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

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Answer:

49cm

Step-by-step explanation:

49cm i got it right on edmentum

helpppppp what is the x！！！！！

Answers

Answer:

x=7

Step-by-step explanation:

95+65=160

There is 360 degrees total in a quadrilateral

360-160=200

(15x-5)+100=200

15x+95=200

Subtract 95 from both sides

15x=105

x=7

If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?

a)2
b)3
c)7
d) 12

Answers

f(x)=6x³+5xg(x)=3x²+5h(x)=9x²-8

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

3(2)(2)12

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.

Answers

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

10*25=250
45-10=35
35*13=455
455+250=705
705*$0.55=$387.75

-9y- 10 = x
5x +6y = -11

Answers

Answer: x = -1 , y = -1

please solve the question in the picture

Answers

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

PLEASE SOLVE I WILL MARK BRAINLIEST HURRY PLEASE

Answers

Applying the Pythagorean theorem, the missing lengths in the right triangles are:

1. √19 ≈ 4.4

2. √96 ≈ 9.8

3. √60 ≈ 7.7

4. √231 ≈ 15.2

5. √21 ≈ 4.6

6. √24 ≈ 4.9

What is the Pythagorean Theorem?

The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.

1. missing leg = √(10² - 9²) = √19 ≈ 4.4

2. missing leg = √(11² - 5²) = √96 ≈ 9.8

3. missing leg = √(8² - 2²) = √60 ≈ 7.7

4. missing leg = √(16² - 5²) = √231 ≈ 15.2

5. missing leg = √(5² - 2²) = √21 ≈ 4.6

6. missing leg = √(7² - 5²) = √24 ≈ 4.9

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find the value of x and y from the following

Answers

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio to be as
large as the yard. Let A be the area of the patio, in square meters.

Which inequality represents the possible length of the patio?
A. √A> 25
B. √A < 25
C. √A> 625
D. √A < 625

Answers

The inequality that represents the possible length of the patio is √A < 625.

How to represent an inequality?

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25 = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

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Nicole is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $1.50 per movie watched. Plan B costs $12 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Nicole watches xx per month, and let BB represent the monthly cost of Plan B if Nicole watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.

Answers

Answer:

Plan B

Step-by-step explanation:

If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A

but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B

Select all the correct.
Which values are included in the solution set of this inequality?
2x2 1 > 6x
x = 3
x = -4
x = 1
x = 5
x = -2

Answers

The answer is X=5, X=-2 and x=-4

HELP ME OUT peps correct answers only

Answers

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

What is the Subtraction Property of Equality?

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

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find the area of the shaded part.

Answers

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

43,57,98,67,87 mean med mode renge

Answers

Answer:

mean: 70.4median: 67mode: no moderange: 55

Step-by-step explanation:

The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.

Sorted into increasing order, the numbers are ...

43, 57, 67, 87, 98

mean

The total of these values is

43 +57 +67 +87 +98 = 352

The mean is this sum divided by the number of contributors:

mean = 352/5 = 70.4

median

The median of the 5 numbers is the middle (3rd) one:

median = 67

mode

The mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.

mode: none

range

The range is the difference between the highest and lowest values:

range = 98 -43

range = 55

How to solve a equation using elemination method

Answers

Answer:

Below.

Step-by-step explanation:

I assume you are referring to a system of equations.

Example:

2x - y = 4

x + y = 5

If we add these 2 equations then the y is eliminated because -y + y = 0:-

3x + 0 = 9

x = 3

Now we plug x = 3 into the first equation to find y:

2(3) - y = 4

-y = 4 - 6 = -2

y = 2.

If we cannot eliminate one of the variables we multiply one of the equations so that one of the variables so that it can be eliminated.

For example:

2x - 3y = 5 A

x + y = 6 B

We multiply the second equation B by 3 so that when we add -3y + 3y gets eliminated:

3x + 3y = 18

- so adding this to equation A

5x + 0 = 23.

In some cases we may have to multiply both equations by different values to get terms that can be eliminated.

Which of the following are exterior angles? Check all that apply.
6
5/4
1
2

Answers

Answer:

E and F

Step-by-step explanation:

Definition of exterior angle:

The angle between a side of a polygon and an extended adjacent side.

According to definition, angles 4 and 2 are exterior angles.

The matching answer choices are E and F

Write 1/3 as a recurring decimal.
Convert 0.45 to a fraction.

Answers

Answer:

.33333333... 45/100

Step-by-step explanation:

1/3 as a reoccurring decimal would be 0.3333333......

.45 as a fraction is simply 45/100

give brainiest please!

hope this helps :)

1/3 as a decimal = 0.3333
0.45 as a fraction = 9/20

Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).

Answers

By applying the law of sines, the length of side PQ is equal to 7.1 units.

What is the law of sines?

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

How to calculate the length of PQ?

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]

PQ = 7.1 units.

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Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.

The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.

Answers

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

What is the relationship between the number of sides of the base of a prism and the number of lateral faces?
A . The number of sides of the base of a prism is less than the number of lateral faces. B. The number of sides of the base of a prism and the number of lateral faces is equal. C. The number of sides of the base of a prism is greater than the number of lateral faces.
C . There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.

Answers

Answer: The number of sides of the base of a prism and the number of lateral faces is equal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

edge exam

Find the value of x.
x = [?]

Answers

Answer: 8

Step-by-step explanation:

The triangles are congruent by SAS, so using CPCTC, the answer is 8

What is the length of the hypotenuse of the right triangle?

Answers

Answer:

scout is a group of noble youth

Omar paid $8.64 for 5.4 pounds of grapes. what was the cost of 1 pound of grapes?

Answers

Answer: $1.6

Exp: 8.64/5.4 = 1.6 ,

checking my work 1.6 * 5 = 8 and 1.6 * 0.4 = 0.64 so 8+0.64 = 8.64 so now I know 1 pound of grapes is $1.6 also 8/5 = 1.6

Solve for x.
←2x+6
X+9
x = [?]

Answers

Answer:

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Solve for the exact value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

Please Help!!!
Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25^{\circ}
∘
. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

63.5 m from the ground

answer is 66.9 ft

top is the step by step explanation, hope it helps <3

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .

Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.

PLATO

Answers

The point divides the line in the respective ratios. The correct matches are done.

What is division of line?

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.