Mathematics College

The data set {3, 7, 5, 4, 1} consists of the lengths, in minutes, of a sample of speeches at an awards banquet. Use a formula to find the standard deviation of the sample, and label it with the correct variable.

Answers

Answer 1

Answer:

Standard deviation = 2.2360679774998

Step-by-step explanation:

We are asked to find the Standard deviation of a samples of speeches as an awards.

The formula for sample standard deviation is given as:

√[(x - μ)²/N - 1 ]

Step 1

We find the mean (μ)

The mean of the sample =>

= Sum of term/ Number of terms

= (3 + 7 + 5 + 4 + 1)/5

= 20/5

= 4

Step 2

Find the Standard deviation of the sample

√[(x - μ)²/N - 1 ]

N = number of samples or terms = 5

= √[(3 - 4) ² + (7 - 4)² + (5 - 4)² +(4 - 4)² +(1 - 4)²/ 4]

= √ (1 ² + 3² + -1² + 0² + -3²/4)

= √( 1 + 9 + 1 + 0 + 9/4)

= √20/5 - 1

= √5

= 2.2360679774998

The standard deviation of the sample = 2.2360679774998

Related Questions

Order: NS 1,500 ml over 15 h. After 6 hours 1,200 ml remain in the bag. The facility policy indicates that flow rate adjustments may not exceed 25% of the original rate. Recalculate the flow rate so that the infusion will finish on time, and decide if the adjustment is within the guidelines.

Answers

Answer:

ask ya fadaaaaaaaaàaaa

Step-by-step explanation:

guvdhcjnhcxh

The areas of two similar octagons are 4 m² and 9 m². What is the scale factor of their side lengths? PLZ PLZ HELP PLZ

Answers

Answer:

2 :3

Step-by-step explanation:

To take the scale factor from the area to length we take the square root of each

sqrt(4) : sqrt(9)

2 :3

Make Q the subject of the formula A = Q2 - 2a.

Answers

Answer:

[tex]\huge\boxed{Q = \sqrt{A+2a}}[/tex]

Step-by-step explanation:

[tex]A = Q^2 -2a[/tex]

Adding 2a to both sides

[tex]Q^2 = A+2a[/tex]

Taking sqrt on both sides

[tex]Q = \sqrt{A+2a}[/tex]

How do I solve these plz I need help ☺️

Answers

Answer:

i have never learned it when i will i will tell

HURRY PLEASE!!
2 •(3(5+2)-1)

Answers

Answer:

hopei help you

Step-by-step explanation:

mark i brainliest answer

Answer: 40

Concept:

When encountering questions that ask for simplifying expressions, the easiest way is to follow the PEMDAS method:

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Solve:

Given

2 · (3 (5 + 2) - 1)

Simplify parentheses by addition

=2 · (3 × 7 - 1)

Simpify multiplication first, then subraction

= 2 · (21 - 1)

= 2 · 20

Simplify multiplication

= 40

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP! (1/4) - 50 POINTS -

Answers

Answer:

D) 0.35

Step-by-step explanation:

The table gives the area between z=0 and the given magnitude of z. That is, the area between z = 0 and z = -0.6 is 0.23, as found in the 0.6 column of the table. Similarly, the area between z = 0 and z = 0.3 is 0.12, as found in the 0.3 column of the table.

The area between z = -0.6 and z = +0.3 is the sum of these areas:

p(-.6<z<.3) = 0.23 +0.12 = 0.35

in a children of 700 inmates,25% are living with polio and 30% are girls . if 30% og the girls have polio, how many are the boys without polio

Answers

Answer: 378 Boys

Explanation:

Total no. Inmates = 700

Living with polio = 25/100×700

= 175 inmates

Total girls = 30/100×700

= 210 Girls

30% of girls Having polio = 30/100×210

= 63 Girls

Total Boys = 700 - 210

= 490 Boys

Total boys with polio = 175 - 63

= 112 boys

Boys without polio = 490 - 112

= 378 boys

Must click thanks and mark brainliest

a) which function has the graph with the greatest slope?

b) which functions have graphs with y intercepts greater than 3?

c)which function has the graph with a y intercept closest to 0

Answers

Answer:

a). Function (4)

b). Function (2)

c). Function (3)

Step-by-step explanation:

Characteristics of the functions given,

Function (1),

Form the given graph,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

= [tex]-\frac{4}{1}[/tex]

= -4

Y- intercept of the given function = 2

Function (2),

From he given table,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= [tex]\frac{5-3}{0+1}[/tex]

= 2

y-intercept = 5 [Value of y for x = 0]

Function (3),

y = -x - 1

By comparing this equation with y = mx + b

Where 'm' = slope

and b = y-intercept

Slope = (-1)

y-intercept = (-1)

Function (4),

Slope = 5

y-intercept = (-4)

(a). Greatest slope of the function → Function (4)

(b). y-intercept greater than 3 → Function (2)

(c). Function with y-intercept closest to 0 → Function (3)

when four coins are tossed simultaneously then what is the probability of getting two heads and two tails

Answers

Answer:

50% chance

Step-by-step explanation:

4 * 50% = 2

Need help with this- Precalculus

Answers

use x^2 when x=0 because the restriction for it is "use x if x is less than or equal to 1"

when x = 0, (0)^2 will make f(x) = 0

the graph of f(x) will just be a dot at 0

Solve for 2 in the diagram below.
120°
32°
T=

Answers

Step-by-step explanation:

Hello, there!!!

It's so simple here,

Here,

we have is 1 angle is 120°and other is 3x°.

now,

3x°=120° {because when two st.line intersects eachother then the opposite angle formed are equal}

so, 3x°=120

or, x=120°/3

=40°

Therefore, the value of x is 40°.

Hope it helps....

1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.

Answers

Answer:

Step-by-step explanation:

The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! Chapter 11a
Please SHOW YOUR WORK THOROUGHLY!!

Answers

9514 1404 393

Answer:

vertical shift: 7 (up)horizontal shift: 2 (right)vertical asymptote: x=2domain: x > 2range: all real numbers

Step-by-step explanation:

For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.

Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.

The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.

The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.

The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."

The graph is shown below. The vertical asymptote is the dashed orange line.

_____

The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.

Ivan drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 737 miles?
hours
Х
?

Answers

Answer: x= 11

Step-by-step explanation:

To answer the question, we first need to know how many miles he/she/it can drive in one hour (to make it simpler. Doing a bunch of calculations involving decimals and other stuff can be very confusing)

335 divided by 5 is 67

Therefore in one hour Ivan can drive 67 miles. We want to know the TIME it takes for Ivan to drive 737 miles and the formula for time is Distance / Speed.

The distance is 737 miles

The speed is 67 miles/hour

737 divided by 67 is 11

Therefore Ivan takes 11 hours to drive 737 hours

For the following graph, state the polar coordinate with a positive r and positive q (in radians). Explain your steps as to how you determined the coordinate (in your own words). I'm looking for answers that involve π, not degrees for your angles. State the polar coordinate with (r, -q). Explain how you found the new angle. State the polar coordinate with (-r, q). Explain how you found the new angle. State the polar coordinate with (-r, -q). Explain how you found the new angle.

Answers

the graph has 12 segments so angle enclosed by each segment is [tex] {2\pi\over 12}=\frac{\pi}6[/tex]

anti-clockwise is taken as positive, so if you want positive q, you need to rotate 8 segments [tex] q=8\frac,{\pi}6=\frac{4\pi}3 [/tex] , and and 8 circles or units so r=8

and for a negative angle, you need to rotate clockwise

Which is 4 segments from the horizontal line. so [tex]q=-\frac{2\pi}3[/tex] and r will be same, 8 units.

[not sure about -r so I won't include it in answer]

Answer:

Points : ( 8, - 2π/3 ), ( - 8, π/3 ), ( - 8, - 5π/3 )

Step-by-step explanation:

For the first two cases, ( r, θ ) r would be > 0, where r is the directed distance from the pole, and theta is the directed angle from the positive x - axis.

So when r is positive, we can tell that this point is 8 units from the pole, so r is going to be 8 in either case,

( 8, 240° ) - because r is positive, theta would have to be an angle with which it's terminal side passes through this point. As you can see that would be 2 / 3rd of 90 degrees more than a 180 degree angle,or 60 + 180 = 240 degrees.

( 8, - 120° ) - now theta will be the negative side of 360 - 240, or in other words - 120

Now let's consider the second two cases, where r is < 0. Of course the point will still be 8 units from the pole. Again for r < 0 the point will lay on the ray pointing in the opposite direction of the terminal side of theta.

( - 8, 60° ) - theta will now be 2 / 3rd of 90 degrees, or 60 degrees, for - r. Respectively the remaining degrees will be negative, 360 - 60 = 300, - 300. Thus our second point for - r will be ( - 8, - 300° )

_________________________________

So we have the points ( 8, 240° ), ( 8, - 120° ), ( - 8, 60° ), and ( - 8, - 300° ). However we only want 3 cases, so we have points ( 8, - 120° ), ( - 8, 60° ), and ( - 8, - 300° ). Let's convert the degrees into radians,

Points : ( 8, - 2π/3 ), ( - 8, π/3 ), ( - 8, - 5π/3 )

Write the expression as a single term, factored completely. Do not rationalize the denominator. 54x2+1−−−−−−√+20x4x2+1√ Select one: a. 5(4x2+4x+1)4x2+1√ b. 20x2+20x+1)5x+1 c. 20x2+20x+1)4x2+1√ d. 5(4x2+4x+1)5x+1

Answers

When we write expression 5√(4x² + 1) + 20x / √(4x² + 1) as singled term factorised completely, we have 5(4x² + 4x + 1) / √(4x² + 1) (Option A)

Data obtained from the question5√(4x² + 1) + 20x / √(4x² + 1)Factorised =?

How to factorised 5√(4x² + 1) + 20x / √(4x² + 1)

5√(4x² + 1) / 1 + 20x / √(4x² + 1)

Least common multiple (LCM) is √(4x² + 1)

[(5√(4x² + 1) × √(4x² + 1) + 20x] / √(4x² + 1)

[5(4x² + 1) + 20x] / √(4x² + 1)

[20x² + 5 + 20x] / √(4x² + 1)

[20x² + 20x + 5] / √(4x² + 1)

5(4x² + 4x + 1) / √(4x² + 1)

Learn more about factorisation:

https://brainly.com/question/22248251

#SPJ1

Complete question

See attached photo

find the value of each variable and the measure of each angle

Answers

Answer:

y = 90x = 302x° = 60°(y+x)° = 120°(y-x)° = 60°

Step-by-step explanation:

Adjacent angles are supplementary, so ...

(y +x) +(y -x) = 180

2y = 180 . . . . . . . . . simplify

y = 90 . . . . . . . . . . . divide by 2

2x +(y +x) = 180

3x +90 = 180 . . . . substitute for y

x + 30 = 60 . . . . . . divide by 3

x = 30 . . . . . . . . . . subtract 30

With these values of x and y, the angle measures are ...

2x° = 2(30)° = 60°

(y+x)° = (90+30)° = 120°

(y-x)° = (90-30)° = 60°

Which statements are true?

Answers

Answer:

Step-by-step explanation:

The first statement is true. We use 4 as the base and 3.33 as the exponent, obtaining 101.

The second statement is true. Using 2 as the base and 6.15 as the exponent, we get 71.01, or approximately 71.

Third statement: 3^4.14 = 94.47, which is NOT equal to 24. False

Fourth statement: Raise the base (5) to the power 2.60, obtaining 65.66, or approximately 66. True

Fifth statement: Raise the base (6) to the power 0.17, obtaining 1.36. This does not match the '11' given. False

f(x) = x^2 + 2x + 1, then for what values of x, f(x)=f(x+2) step by step plz

Answers

Answer:

x = -2

Step-by-step explanation:

given f(x) = x² + 2x + 1

f(x+2) = (x+2)² + 2(x+2) + 1

= x² 4x+4+2x+4+1

= x² + 6x + 9

for f(x) = f(x+2), simply equate the two expressions and solve for x

f(x) = f(x+2)

x² + 2x + 1 = x² + 6x + 9 (x² terms cancel out)

2x + 1 = 6x + 9 (subtract 1 from both sides)

2x = 6x + 9 - 1

2x = 6x + 8 (subtract 6x from both sides)

2x - 6x = 8

-4x = 8 (divide both sides by -4)

x = 8 / (-4)

x = -2

Hal's business made $500,000 last year. This year, his business made $650,000. What is the percentage difference? [?]%

Answers

Answer: 23.08%

Explanation:

To find the percentage profit, you use the following formula:

(Current revenue - Old revenue/ Current revenue) x 100

Applying this formula will give us:

1) (650,000-500,000/650,000) x 100
2) (150,000/650,000) x 100
3) (0.2308) x 100
4) = 23.08%

Hope this helps, brainliest would be appreciated :)

Answer:

the answer is 30 percent.

Step-by-step explanation:

i did it on acellus.

In a survey of some people, 73% like to drink tea, 85% like to drink coffee and 65% like to drink tea as well as coffee .If 210 people like neither tea nor coffee, then find the total number of people taken part in the survey. Also, by a Venn diagram show how many of them like at least one of the given drink.

Answers

3000 people participated in the survey, of which 2790 like some type of drink.

Since in a survey of some people, 73% like to drink tea, 85% like to drink coffee and 65% like to drink tea as well as coffee, if 210 people like neither tea nor coffee, to find the total number of people taken part in the survey and show how many of them like at least one of the given drink, the following calculations must be performed:

-First, it must be determined how many people do not prefer any of the drinks, in percentages, subtracting the 65% who like both from the percentages of each particular drink, and adding these results.

(73 - 65) + (85 - 65) + 65 = X 8 + 20 + 65 = X 93 = X

-Therefore, the 210 people who do not like any drink are 7 percent of the total survey. Therefore, to determine the total number of people who participated, the following cross multiplication must be carried out.

7 = 210 100 = X 100 x 210/7 = X 3000 = 7

3000 - 210 = 2790

Therefore, 3000 people participated in the survey, of which 2790 like some type of drink.

Learn more about cross multiplication in https://brainly.com/question/24327293.

Enter a formula in cell B10 to return the value of 35000 if the net profit after tax cell B9 is greater than or equal to 470000 or 100 if it is not

Answers

Answer:

I hope it help and I guess it is correct

Please answer quick!!! Find the range of the data set represented by this box plot.

80
76
40
56

Answers

Answer:

highest value (H)= 80

lowest value (L)= 40

range (R)=?

now using formula,

Range (R)=H-L

=80-40

=40

therefore range (R)=40

Find the area of the shaded triangle below.

Answers

Answer:

A = 12 square units

Step-by-step explanation:

Area of a Triangle = base * height / 2

The triangle might look weird and doesn't look like it has a base, but if you look at the left side you see there is a straight line which means there is a base, so we flip the picture until we see that the flat line on the bottom or the base.

The base is 4 units.

To find the height, we don't need a straight line, we just need to see how the tall the triangle is, to do that you must start from the lowest point and count up to the highest point.

You now get 6 units.

A = bh/2

A = 4*6/2

A = 24/2

A = 12 square units

Recall the formula V = four-thirds pi r cubed.

Answers

Answer:

1308.33

Step-by-step explanation:

In the pic

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 16
and BC = 8, what is the length of DC? (Note: the figure is not drawn to scale.)

Answers

Answer:

Step-by-step explanation:

BC²=AC × DC

or, 8²=16×DC

or, DC = 64/16

or, DC = 4

Find the following from the parabola below
2)axis of symmetry
3) vertex
4) Domain
5) range
y=(x-3)2 + 8

Answers

Answer:

Step-by-step explanation:

Use ^2 to indicate ²

y = (x-3)² + 8

This is an up-opening parabola.

Vertex (3,8)

Axis of symmetry: x = 3

Domain: ℝ

Range: [8,+∞)

The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry? A. x = 0 B. x = 2 C. x = 6 D. x = -2

Answers

9514 1404 393

Answer:

B. x = 2

Step-by-step explanation:

The graph is symmetrical about the vertical line through its vertex. The x-value of that vertex is 2, so the line of symmetry is ...

x = 2

In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior members if the team must consist of 4 senior members and 2 junior members?

Answers

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

4 students are to be selected from senior members while 2 from junior members;

The number of ways is calculated as thus;

Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members

[tex]Ways = ^{10}C_4 * ^{12}C2[/tex]

[tex]Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}[/tex]

[tex]Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}[/tex]

[tex]Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}[/tex]

[tex]Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}[/tex]

[tex]Ways = \frac{5040}{24} * \frac{132}{2}[/tex]

[tex]Ways = 210 * 66[/tex]

[tex]Ways = 13860[/tex]

Hence, the number of ways is 13860 ways

Researchers have collected data on the hours of television watched in a day and the age of a person. You are given the data below.

HOURS OF TV AGE
1 45
3 30
4 22
3 25
6 15

a. Determine which variable is the dependent variable.
b. Compute the least squares estimated line.
c. Compute the coefficient of determination. How would you interpret this value?