Complete the following statement about the Empirical Rule.

According to the Empiricalâ Rule, if a distribution isâ bell-shaped, then approximately _______________ of the data will lie within 1 standard deviation of theâ mean; approximately ____________ 95% 99.7% 68% of the data will lie within 2 standard deviations of theâ mean; approximately ______________ 68% 95% 99.7% of the data will lie within 3 standard deviations of the mean.

Answers

Answer 1

Answer:

1. 68%

2. 95%

3. 99.7

Step-by-step explanation:

Answer 2

Standard deviation of mean will be 68%, 95%, and 99.73% respectively.

What is Empirical Rule?

A statistical rule known as the empirical rule, which is also known as the three-sigma rule or the 68-95-99.7 rule, states that almost all observed data for a normal distribution will be within three standard deviations of the mean or average.

Given according to the empirical rule, 68% of observations will fall within the first standard deviation (µ ± σ), 95% will fall within the first two standard deviations (µ ± 2σ), and 99.7% will fall within the first three standard deviations(µ ± 3σ) .

Hence SD  of mean will be 68%, 95%, and 99.73%

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Related Questions

3/8x5/4 Helpppppp pls

Answers

Answer:

9/25 or .36

Step-by-step explanation:

3 ( 2 - 2 ) + 2 ( - 2 x 3 + 4 )​

Answers

The answer to your question given that the X is a multiplication symbol would be -4.

How much is 20% off of $90.75?

Answers

The answer is $18.15

0.20x$90.75


Express 29/100 as a decimal

Answers

Answer:

Step-by-step explanation:

Since there are 2 digits in 29, the very last digit is the "100th" decimal place. So we can just say that . 29 is the same as 29/10

Answer:

0.29 = 29/100

Explanation:

a championship swimmer swims 20 meters in 10 seconds. what is his speed

Answers

Answer:

his speed is 2 meters per second

Answer:

his speed is 2 meters per second

Step-by-step explanation: none

HELP!!!ITS DUE IN AN HOUR
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned in commission.

Answers

Answer:

26.5

Step-by-step explanation:

dont worry I'm actually the salesperson at the  jewlery store

Step-by-step explanation:

it is not confrmed answer

commission:106%

Work out the surface area of the prism

Answers

Pretty sure the surface area is 47.5cm^2

do 2(1.5 x 5) = 15
then do 2(2.5 x 2) = 10
then do 2(2.5 x 5) = 25
15+10+25 = 50cm^3

Determine the amount of each unknown




Cost of the item $300


Sales tax _______

Amount of tax ________

Total cost $360

Answers

Answer:

Sales tax:20%

Amount of tax:$60

20 for sales tax and 60 for taxes

6. Find the ICM of 60 and 400

Answers

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

The LCM of 60 and 400 is 1200. The multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, and more.

The multiples of 400 are 40, 80, 120, 160, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200 and so on and so forth.

Therefore, the LCM is 1200.

write an expression y+3y-2y=​

Answers

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

Solution:2y
Explanation: y+3y-2y=4y-2y=2y

Don’t mind the check make but which statement describes the error the student made in simplifying the equation

Answers

Answer:

i think A sorry i dont know for suee

The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.

Answers

The question is incomplete. Here is the complete question.

The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.

Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is

[tex]p=\frac{46}{450}[/tex]

p = 0.102

At 95% confidence, z-score is 1.96.

Standard deviation for sample proportion is calculated as

[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

For this sample, it will be

[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]

[tex]\sigma=\sqrt{0.0002}[/tex]

[tex]\sigma=0.01414[/tex]

Interval is calculated as

p ± zσ

Then

0.102 ± 1.96(0.01414)

0.102 ± 0.028

Interval is 0.074 < p < 0.13

What confidence interval means is that with a certainty of 95%, we are confident that  the true population proportion of students who attend private schools are between 0.074 and 0.13.

Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

solving the systems of linear equations by substitution.

x+2y=6
5x+2y=18​

Answers

Here you go...........

What is
in exponential form?
2
Xy
2
xy
10
xay
xy
O
XY
5
xy

Answers

Answer: a

Step-by-step explanation:

Answer:

An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.

Step-by-step explanation:

Can someone answer this because this one is confusing and I need help.
Answers
A.280 cubic inches
B.1,800 cubic inches
C.180 cubic inches
D.600 cubic inches

Answers

your answer would be 180 cubic inches which is option C

blank tens 15 ones = 6 tens 5 ones​

Answers

Step-by-step explanation:

_x_tens 5 ones=6tens 5 ones

5x=65

x=65/5

x=13

sorry i donot get answer at 15 ones.

Which inequality is true if p = 2.8?

Answers

Complete question :

Which inequality is true if p = 2.8?

3p < 10.2

13.6 ≤ 3.9p

5p > 17.1

8.5 ≥ 2.5p

Answer:

3p < 10.2

8.5 ≥ 2.5p

Step-by-step explanation:

To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :

3(2.8) < 10.2

8.4 < 10.2 ( true)

13.6 ≤ 3.9p

13.6 ≤ 3.9(2.8)

13.6 ≤ 10.92 ( False)

5p > 17.1

5(2.8) > 17.1

14 > 17.1 ( False)

8.5 ≥ 2.5p

8.5 ≥ 2.5(2.8)

8.5 ≥ 7 (True)

Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, heart, and club). Count how many possible ways to geta(a)Two-pairs: Two pairs plus another card of a different value, for example:(b)Flush: five cards of the same suitbutdifferent values, for example: (c)Full house: A three of a kind and a pair, for example: (d)Four of a kind: Four cards of the same value, for example:

Answers

Answer:

a) 182 possible ways.

b) 5148 possible ways.

c) 1378 possible ways.

d) 2899 possible ways.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question, we have that:

There are 52 total cards, of which:

13 are spades.

13 are diamonds.

13 are hearts.

13 are clubs.

(a)Two-pairs: Two pairs plus another card of a different value, for example:

2 pairs of 2 from sets os 13.

1 other card, from a set of 26(whichever two cards were not chosen above). So

[tex]T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182[/tex]

So 182 possible ways.

(b)Flush: five cards of the same suit but different values, for example:

4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So

[tex]T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148[/tex]

So 5148 possible ways.

(c)Full house: A three of a kind and a pair, for example:

4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).

3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So

[tex]T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378[/tex]

So 1378 possible ways.

(d)Four of a kind: Four cards of the same value, for example:

4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).

1 from the remaining 39(do not involve the kind chosen above). So

[tex]T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899[/tex]

So 2899 possible ways.

What is the quotient of 9.75÷1.3

Answers

Answer:

7.5

You know, you can just use a calculator.

Jeromes credit card has an APR of 18% calculated on the previous monthly balance and a minimum payment of 2% starting the month after the first purchase his credit card record for the last seven months is shown in the table below what is the total amount that Jerome has paid in interest over the seven months

Answers

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

what phrases describes the expression of 16-y​

Answers

What phrases describes the expression of 16-y​

Answer: -9

Hope this helps~

Please help me ! I’ll give anyone a 5 star rating for the correct answers.

Answers

Answer:

A)Josh

B)Mila

C) Amir

what is the answer to this question
1/2 x -7=1/3(x-12)

Answers

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

Which of the following best describes a triangle with one right angle and two congruent sides?
A right scalene triangle
B. acute scalene triangle
C. right isosceles triangle
D acute isosceles triangle

Answers

Answer:

C

Step-by-step explanation:

A is impossible. You cannot have both a right triangle and in the same triangle have an angle in it that is over 90 (that's the meaning of scalene)

B is sort of true, but only sort of. All scalene triangles have an angle over 90 and 2 acute angles.

C this is the answer to the question. It has 1 right angle and 2 equal sides. The two equal sides make it isosceles and the right angle is given.

D an acute triangle has three angles under 90 that add to 180. Not the right description.

A triangle with one right angle and two congruent sides is described as a "right isosceles triangle." (Option C)

Let's break down the terms:

1. Right Angle: A right angle is an angle that measures exactly 90 degrees.

2. Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length (congruent sides).

3. Right Isosceles Triangle: A right isosceles triangle is a special type of isosceles triangle where one of the angles is a right angle (90 degrees) and the other two angles are equal, each measuring 45 degrees.

In a right isosceles triangle, the two congruent sides are the legs of the right triangle, and the third side (opposite the right angle) is called the hypotenuse.

So, among the given options, the best description for a triangle with one right angle and two congruent sides is a "right isosceles triangle" (Option C).

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PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line

Answers

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

The moon is about 382,500 km away from earth. This distance actually varies by about 22,500 km. What are the maximum and minimum distances to the moon?

Answers

Answer:

225,623 miles (363,104 kilometers).

Step-by-step explanation:

- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}

Function?

Answers

Answer:

Step-by-step explanation:

It is not a function. (1,1) and (1,-4) are both points on the graph.

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Solve For X. Please add an explanation.

Answers

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

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