The standard deviation of the following data set is 0.31. 68% of the data would fall in which range?
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4

Answers

Answer 1

Answer:

Pr(4.19 ≤ X ≤ 4.81)

Step-by-step explanation:

First of all, let's calculate the mean;

x¯ = (4.3 + 5.1 + 3.9 + 4.5 + 4.4 + 4.9 + 5.0 + 4.7 + 4.1 + 4.6 + 4.4 + 4.3 + 4.8 + 4.4 + 4.2 + 4.5 + 4.4)/17

x¯ = 76.5/17

x¯ = 4.5

We are given standard deviation; s = 0.31

Now, z-value for a 68% Confidence interval is 1

Range in which the data falls is;

Range = x¯ ± zs

Range = 4.5 ± (1 × 0.31)

Range is;

Pr[(4.5 - 0.31) ≤ X ≤ (4.5 + 0.31)]

Pr(4.19 ≤ X ≤ 4.81)

Answer 2

Answer:

Pr (3.57 ≤ X ≤ 5.43)

Step-by-step explanation:


Related Questions

Write a recursive formula for the arithmetic sequence:

7,4,1,-2

Answers

a1 = 7
a(sub)n = a(sub)n-1 - 3

(sub) indicates the values touching the parenthesis are written as a subscript.

The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

Please help me, i dont really get the questions here

Answers

Answer:

c

Step-by-step explanation:

the other 3 have the moon and star connected 3 times but c only has it connected twice on the ends of the three moons.

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y= 8x +7

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Thus, gradient of the line

[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

I am having a hard time with simultaneous equations specifically the elimination method, i want to know when do we subtract and when do we add, so if u know how its done plz help im confused

Example :
3x-2y =7
4x+y = 13

Plz solve it too-

Answers

Answer:

The solution to these two equations is (3, 1)

Step-by-step explanation:

So for the elimination method, we are basically multiply each equation by a factor that would allow us to cancel them out..

We could rewrite the equations as the following to make the elimination method easier:

-2y + 3x = 7

y + 4x = 13

We could multiply the second equation by positive 2 in order to cancel out the y from the first equation when we add.

-2y + 3x = 7

2y + 8x = 26        --->  Now we have 11x = 33, when we simplify, we have x = 3.

Now to find our y value in order to find the solution, we would just plug in our x value and solve for y. **We can use either equation to find the answer for this...

-2y + 3x =7.

-2y + 3(3) = 7

-2y + 9 = 7

-2y = -2

y = 1.

We can double check our answer by plugging in both x and y values into the second equation.

4(3) + 1 = 13.

12 + 1 = 13, so we are correct.

The solution to these two equations is (3, 1)

Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?

Answers

Answer: 12 days

Step-by-step explanation:

3.87/3=1.29 liters of jam in 1 day

1.29*12=15.48 liters in 12 days

Answer:

12 days

Step-by-step explanation:

(256x^256)^3/8 please answer to this question​

Answers

Answer:

The answer is 8x^96.

Hope this helps and if you could mark me as brainliest. Thanks!

8x⁹⁶ is the simplified form of the expression.

What is a polynomial expression?

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here, the expression as (256x²⁵⁶)^³/₈

=(256)^³/₈ × (x²⁵⁶)^³/₈

=(2⁸)^³/₈ × (x³²)^³

=2³ × x⁹⁶

Hence, the answer is 8x⁹⁶

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What is the amount of discount?

Answers

Answer:

$3.75

Step-by-step explanation:

give brainliest please

Which expressions are equivalent to the given expression? ​

Answers

Answer:

It is the 2nd answer choice 4 check 5

Step-by-step explanation:

Answer:

The 2nd and 5th expression.

Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.

Answers

Answer:

The correct answer is c

Answer:

Answer is c

Step-by-step explanation:

Your welcome

Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?

Answers

3/5 of his budget= $945

1/3 of his budget = $525

$105 will go into his savings because

$1575 - (945 + $525) = $105

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).

Answers

Answer:

(f-g)(x) would be 2x-3

Solve 3q - 5 = 13 for q.

Answers

Answer:

[tex]q = 6[/tex]

⇒ Step-by-step explanation:

Lets solve!

[tex]3q -5 = 13[/tex]

⇒ First we add 5 to both sides.

[tex]3q -5 = 13[/tex]

   [tex]+ 5[/tex]     [tex]+ 5[/tex]

    [tex]3q = 18[/tex]

⇒ Next we divide both sides by 3.

 [tex]\frac{3q}{3} = \frac{18}{3}[/tex]

[tex]q = 6[/tex]

⇒Woohoo! Brainliest Appreciated! Hope I helped!

Answer:

q = 6

Step-by-step explanation:

To solve for q, isolate the variable.

3q - 5 = 13

Move -5 to the right side and perform the inverse operation. Since you were subtracting on the left, add on the right.

3q = 13 + 5

3q = 18

The last step is to isolate the variable by dividing 3 by 18. The reason you divide on the right is because you were multiplying on the left, and you need to perform the inverse operation.

q = [tex]\frac{18}{3}[/tex]

q = 6

Find the product. Estimate to check if the answer is reasonable.
195x4

Answers

Answer:

780

Step-by-step explanation:

Estimate: 200 x 4 = 800

Answer:

780

Step-by-step explanation:

The product of 195×4

=780.

The answer is 780.

Simplify
(35)2
3-2
312
39
38
310

Answers

Answer: The answer is 3^12.

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

5. What are the next three terms in the sequence 2.0, 3.5, 5.0,
6.5, ...?
A. 8.5, 9.0, 11.5
C. 8.25, 11.75, 14.5
B. 8.0, 9.5, 11.0
D. 7.0, 8.5, 9.0

Answers

Answer:

C

Step-by-step explanation:

it increases by 1 and a half each time

verify experin mentally that the vertically
opposite angles are equally.​

Answers

Please restate the question

POINTS plus will mark BRAINLIEST for the correct answer

Answers

Answer:

I believe the answer is 9

Step-by-step explanation:

The most balloons she has is 180 and she can make 20 animals with that so 180/20=9

The answer to your question is 9

Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!

Answers

Answer:

c20

Step-by-step explanation:

How do I distribute 9 - (8r +5)
The - part confuses me

Answers

Answer:

you distribute the - not the 9

Step-by-step explanation:

so your problem would be

9-8r-5

( act as if there is a one in front of the negative sign)

hope this helps :)

To watch a varsity basketball game, spectators must buy a ticket at the door.the cost of an adult ticket is 3.00 dollars and the cost of a student ticket is 1.50 dollars.If the number of an adult ticket sold is represented by a and student is represented ticket sold by a which expression represents the amount of money collected at the door from the ticket sale

Answers

Answe

Step-by-step explanation:

help i need it badly

Answers

Answer:

x^2+3x-10 that should be your answer

Answer:

x^2+3x-10

Step-by-step explanation:

you have to expand the polynomial using the foil method.

i had 50 candies yesterday, and now i have 35. find the percent of decrease

Answers

Answer: you lost 15 candies

Step-by-step explanation:

Answer:

30% is the decrease percent

Write 67/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats

Answers

3. 72

hope this helps

have a good day

Answer:

67/18 is 3.72 as a decimal.

Step-by-step explanation:

I know this because, to turn a fraction into a decimal, you must divide the numerator by the denominator.

67 ÷ 18 = 3.72

Therefore, 3.72 is my answer.

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.4 × 105 words. Samuel can type 3.4 × 105 words in hours and minutes.

Answers

Answer:

8.925 minutes or 0.14875 hours..?

Step-by-step explanation:

I feel like I'm missing something here... The 3.4 x 105 words seems off. Why didn't they just say 357 words?

Assuming that he types 40 WPM and they're looking for how long it would take for him to type 357 words:

[tex]3.4*105 = 357[/tex] words total

[tex]\frac{357}{40} = 8.925[/tex] minutes

[tex]\frac{8.925}{60} = 0.14875[/tex] hours

Graph the equation
y-3=-3/2(x+4)

Answers

Answer: x = (-2,0) y = (0,-3) slope is -3/2

Step-by-step explanation: graph the line  by  using the slope and y intercept

The graph for the points (0, -3) and (2, -6) is plotted on the graph below.

The given equation is y-3= -3/2(x+4).

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Graph the line using the slope and y-intercept, or two points.

Slope: -3/2

y-intercept: (0, -3)

Plot the points (0, -3) and (2, -6) on the graph

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (−2,0)

y-intercept(s): (0,−3)

Therefore, the graph for the points (0, -3) and (2, -6) is plotted on the graph below.

To learn more about the graph visit:

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select all pairs of congruent angles ​

Answers

Answer:

1,4

2,3

1,6

6,7

5,8

5,2

1,6

7,2

8,1

3,6

4,5

1,5

2,6

3,7

4,8

Step-by-step explanation:

Alternate interior, exterior, vertical, and complemetary angles are congruent.

The pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

Vertically opposite angles:

∠1≅∠4

∠2≅∠3

∠5≅∠8

∠6≅∠7

Alternate interior angles:

∠3≅∠6

∠4≅∠5

Alternate exterior angles:

∠1≅∠8

∠2≅∠7

Corresponding angles:

∠1≅∠5

∠2≅∠6

∠4≅∠8

∠3≅∠7

Therefore, the pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Learn more about the parallel line angles here:

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Which expression has exactly 2 terms
A.5y2
B.A+b+2
C.3x+y
D.4n

Answers

Answer: C

Step-by-step explanation:

segmant ce and segment fh are parellel lines

Answers

Answer:

is this really a question. I don't understand it you need an explanation of what you're asking us.

Step-by-step explanation:

If the circumference of a circular ground is 616m, find its radius​

Answers

Answer:

98 m

Step-by-step explanation:

2πr = circumference = 616

2*22/7*r = 616

44/7*=616

r = 616*7/44

r = 14*7

r = 98 m

Answer:

98

Step-by-step explanation:

:)

HELP ASAP THIS IS DUE IN 5!!!!
Find the slope of the line.

O -2/5
O 2/5
O 5/2
None of the above

Answers

Answer:

2/5

Step-by-step explanation:

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