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

Let f be the function with derivative given by f'(x)=cos(2x^2 -1). How many relative extrema does f have on the interval 2 < x < 4?

Answers

It would have 7 because you are looking for the extreme.

the slope of (2,11) and (10,4)

Answers

See the attachment...

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

(y2-y1)/(x2-x1)

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

WORTH BRAINLIEST!

of you help me

Answers

Answer:

8. [tex]\frac{55}{-11} \\[/tex]

9. -38 ÷ 19

10. -4 ÷ -2

11. 190° im pretty sure

Step-by-step explanation:

what is the product of

(2x+3)(4x²-5x+6)

Answers

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

HELP ME PLEASEEEEEEEEEEEEEEEEE YOU CAN GET BRAINEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Translation of, “Six less than twice the value of x,”.

Answers

Answer:

2x-6

Step-by-step explanation:

You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?

Answers

Answer:

2$

Step-by-step explanation:

first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.

don't forget to add the dollar sign, it might save you points

A watercooler contains 160 cups of water. During practice, each person on a team fills a water bottle with 3 1/3 cups of water from the cooler. How many water bottles can a team fill from a single watercooler?

Answers

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.

Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]

Now , Number of water bottles a team can fill  from a single watercooler = [tex]160\div \dfrac {10}3[/tex]

[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

how do you simplify 2/-3?​

Answers

Answer:

you cant

Step-by-step explanation:

You can’t it’s to same thing but the decimal is -0.66666667

what takes money out of your savings account? debit card or credit card

Answers

Answer:

Debit cards have a savings account

Step-by-step explanation:

i learned this in school

Middle School
Mathematics

Find x.

A. 8
B. 12​

Answers

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

Y=6x+21
-x+3y=12

Find x and y please

Answers

for first one
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
X=-12+3y
Y=4+x/3

Strugglingggggg.....

Answers

Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

27 : 18 = 13 : x find x​

Answers

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

Hope it helped u,

pls mark as the brainliest

and put thanks

^_^

The measures of the angles of a triangle solve for X

Answers

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Determine the correlation:
How much you study vs. The grade you get on your test

A- positive correlation
B- negative correlation
C- no correlation

Answers

a - positive correlation

teachers are just like that sometimes man

they are saying that the more you study the higher your grade is, so positive correlation

At Springfield Middle School, there are ​n​ 7th graders, and ​p​% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©​Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p

Answers

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

pls help me with this lol

Answers

Answer:

a) 95 miles

b) Chester

c) 194 miles

Step-by-step explanation:

Chart Reading

From the chart, we can know the relative distances from each place as follows:

a) From Hereford to Chester there are 95 miles

b) Kendal is 99 miles from Chester

c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles

Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.

Brenna wants to borrow $21,000 to buy a used car. She examined her budget and decides that she can afford a payment of $375a month. If her bank offers her an APR of 5.5%, what is the shortest amount of timeshe should borrow themoney and stay in budget?A.4.5 yearsb.5 yearsc.5.5 yearsd.6 years

Answers

Answer:

4.5

Step-by-step explanation:

It is the closest answer. Trust Me.

for f(x) = -8x +8, find f(-3)

Answers

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

What is the value of x that makes the statement true?

7x + 9 = 5x + 39

x =

Answers

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15

7x + 9 = 5x 39
7x -5 = 39-9
2x =20
30\2 x=15

I need the answer to this question please 4(3 - 2x) = 15

Answers

The correct answer would be -3/8 or in decimal form -0.375 :)

HELP !!!!!40 POINTS AVAILABLE


2. d+g/h. When d=29, g = 16. and h=9
(1 point)
A.8
B.2.375
C.5.375
D.5

Answers

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

It’s 5 when you add them together then you divide them you get 5

Item 21
The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. Write and solve an equation to find the outside temperature t (in degrees Fahrenheit).

An equation is −109.3=
.

The outside temperature is
∘F.

Answers

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

Two lines, A and B, are represented by the equations given below!
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?

A. (-3,-5), because the point satisfies ONE of the equations

B. (-3,-5), because the point lies between the two axes

C. (-4,-8), because the point satisfies BOTH equations

D. (-4,-8), because the point does not lie on any axis

Answers

Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

PLEASE HELP NOW LIKE LITERALLY. ILL GIVE BRAINLIST AND FULL STAR!!

Answers

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)

Answers

Answer:

Step-by-step explanation:

y + 4 = -2(x - 5)

y + 4 = -2x + 10

y = -2x + 6

PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?

Answers

Umm you can say if you enter a taxi you have to pay 15 dollar for the taxi cab and u have to pay additional 4 dollars every mile you travel . X would represent miles traveling

Find the sum of of a series, I’ll give brainliest if you got the correct answers :)

Answers

Dhejdndkdkdosobdldndkdiro

posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT

Answers

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

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