When sketching a normal curve, what

value represents one standard deviation

to the right of the mean for the data set?

56, 54, 45, 52, and 48.

Answers

Answer 1

Answer:

The value representing one standard deviation  to the right of the mean is 55.

Step-by-step explanation:

The provided data set is:

S = {56, 54, 45, 52, and 48}

Compute the mean and standard deviation as follows:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{5}\times [56+54+45+52+48]=51\\\\\sigma=\sqrt{\frac{1}{n}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{5}\cdot {(56-51)^{2}+...+(48-51)^{2}}}=\sqrt{\frac{1}{5}\times 80}=4[/tex]

Compute the value representing one standard deviation  to the right of the mean as follows:

[tex]X=\mu+1\cdot \sigma[/tex]

    [tex]=51+(1\times 4)\\=51+4\\=55[/tex]

Thus, the value representing one standard deviation  to the right of the mean is 55.


Related Questions

A farmer sells 8.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

Weight of apples = 1.72 kg

Step-by-step explanation:

Given:

Total mass of sale = 8.6 kg

Pears weight = 4/5 of total weight

Find:

Weight of apples

Computation:

Weight of apples = [1 - 4/5]Total mass of sale

Weight of apples = [1/5]8.6

Weight of apples = 1.72 kg

Combine like terms to simplify the expression: -5.55-8.55c+4.35c

Answers

Answer:

-5.55 - 4.2c

Step-by-step explanation:

-5.55 - 8.55c + 4.35c

'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.

Combine:

-5.55 - 8.55c + 4.35c

-8.55 + 4.35 = -4.2

-5.55 - 4.2c

Hope this helps.

Peter has one of each of the following coins in his pocket: a penny, a nickel, a dime, a quarter, and a half-dollar. Four of these coins are taken out of the pocket and the sum of their values is calculated. How many different sums are possible?

Answers

Answer:

10

Step-by-step explanation:

This is a combinations problem, involving factorials.

5!/3!*2!=5*4/2=20/2=10

The different sum of the 4 coins from the list of 5 coins is an illustration of combination or selection. There are 5 different possible sums.

Given

[tex]n = 5[/tex] --- number of coins

[tex]r = 4[/tex] --- coins to be selected to calculate sum

For the sum of the coin value to be calculated, the 4 coins must be selected. This means combination.

So, we make use of:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^5C_4 = \frac{5!}{(5 - 4)!4!}[/tex]

[tex]^5C_4 = \frac{5!}{1!4!}[/tex]

Expand

[tex]^5C_4 = \frac{5*4!}{1*4!}[/tex]

[tex]^5C_4 = \frac{5}{1}[/tex]

[tex]^5C_4 = 5[/tex]

Hence, there are 5 different possible sums.

Read more about combinations at:

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Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5

Answers

Answer:

√100

Step-by-step explanation:

Given the following numbers: √220, -10, √100, 11.5,

Let's arrange the numbers from the largest to the smallest (in descending order).

Note: √220 ≈ 14.8

√100 = 10

From the largest to the smallest number, we have: √220, 11.5, √100, -10

Therefore, the number in the third position is √100

f(x) = x+ bx + 5 In the given function, b is a constant. If f(1) = 0, what is the value of f(3) ?

Answers

Answer:

f(x)= x+bx+5

f(1) = 1+ b(1) +5 =0

f(1) = 6 +b =0

6+b=0

b=-6

so we get,

f(3)= 3 -6(3)+5

f(3) = 3-18+5

f(3) = -10

hope it helps ^°^

During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Answers

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

In the figure below, triangle DOG, triangle ION, and triangle IDO are congruent and isosceles, each with perimeter 55. The quadrilaterals FLIN, DIES, and DRAG are all squares. The perimeter of the 11-sided polygon $DRAGONFLIES$ is 127. What is the area of DRAG?

Answers

Answer:

81 sq units.

Step-by-step explanation:

Given that Triangles DOG, ION and IDO are congruent and isosceles.

Let Sides NO = IO = DO = GO = [tex]x[/tex] units

Let the sides of squares FLIN, DIES and DRAG = [tex]a[/tex] units

So, NF = FL = LI = NI = IE = ES = SD = DI = DR = RA = AG = GD = [tex]a[/tex] units

Given that perimeter of each of Triangles DOG, ION and IDO = 55 units

Sum of sides of triangle = [tex]2x+a=55 ...... (1)[/tex]

and Perimeter of 11 sided polygon DRAGONFLIES = 127 units

The perimeter of the polygon includes the sides (only outer sides are included):

DR, RA, AG, GO, ON, NF, FL, LI, IE, ES and SD

[tex]2x+9a = 127......(2)[/tex]

Solving equations (2) and (1) by subtracting (1) from equation (2):

[tex]8a = 72\\\Rightarrow a = 9 units[/tex]

Area of a square DRAG = [tex]Side^2[/tex] = [tex]9^2 = \bold{81\ sq\ units}[/tex]

Answer:

81

Step-by-step explanation:

dont ask, i just know

3 X 5 power or 2

answers:
1. 30
2. 225
3. 45
4. 75

answer quickly .

Answers

225 3x5 is 15 and to the power of 2 is 15x15 so multiply and you get 225 hope it helps

how do i solve this ?(x+3)(x-5)=

Answers

[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(x + 3)(x - 5) = x*x  + x *(-5)  + 3*x +  3*(-5)

                    = x² - 5x  +3x - 15  {add like terms}

                    = x² - 2x -15

Please someone help ASAP!!!!!!

Answers

Answer:

1.7 million in Northern Ireland

Step-by-step explanation:

Simply do the difference between the number of people in the UK, minus the number of people in everywhere else except northern Ireland. That is:

60.2 M - 50.4 M - 5.1 M - 3.0 M = 1.7 M

Answer:

[tex]\boxed{1.7 million}[/tex]

Step-by-step explanation:

Hey there!

To find the amount of people who lived in Northern Ireland in 2005 we need to subtract the total 60.2 mil by the England, Scotland, and Wales people.

50.4 + 5.1 + 3

= 58.5

Now we can set up the following equation,

NI = 60.2 - 58.5

NI = 1.7 million

Hope this helps :)

Celine is Drake’s granddaughter. Her age is 4 years greater than of Drake’s age. If Celine is 28 years old, how old is Drake?

Answers

Answer:32

Step-by-step explanation:

if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old

Answer:

The answer is 32.

Step-by-step explanation:

If Celine is 28 and Drake is four years older than her, we do 28+4.

What is the LCD for x/4 - 2/3 = 7/12?

Answers

Answer:

12

Step-by-step explanation:

All the denominators are factors of 12.

The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,224.00 for 264 square feet, what is the size of a kitchen that costs $3,824.00? A. 239 square feet B. 256 square feet C. 7,648 square feet D. 63,096 square feet

Answers

Answer:

The answer is option A

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

p = ks

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

p = 16s

when

p = 3824

[tex]s = \frac{p}{16} [/tex]

[tex]s = \frac{3824}{16} [/tex]

s = 239

The final answer is

239 square feet

Hope this helps you

A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole

Answers

Answer:

4 ft/sec

Step-by-step explanation:

Hope it helps

5/8 divided by 11/9 divided by 1/4=

Answers

Answer:

45/22

Step-by-step explanation:

(a/b)/(c/d) = (a*d)/(b*c)

then

{(5/8)/(11/9)} / {1/4)}

= {(5*9)/(8*11)} / {1/4)

= {45/88} / {1/4}

= {45*4} / {88*1}

= 180/88

= 45 / 22

Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tree is 16 feet long. What is the approximate angle, x, that the second tree makes with the ground? A 0.6° B 35.0° C 39.0° D 58.0°

Answers

Answer:

C 39.0

Step-by-step explanation:

To find the approximate angle, x, that the second tree makes with the ground, we can use the concept of similar triangles Therefore the correct option is B.

Let's calculate the height of the first tree using the given information. We can use the formula for the opposite side in a right triangle: opposite = adjacent * tan(angle). Therefore, the height of the first tree is approximately [tex]19 * tan(32°) = 19 * 0.6249 ≈ 11.873[/tex]  feet. Now, we can set up a proportion between the two trees based on their heights. Let x be the angle the second tree makes with the ground.

We have the following proportion: (height of first tree)/(height of second tree) = (length of first tree)/(length of second tree). Substituting the known values, we have [tex]11.873/16 = 19/x[/tex]. Cross-multiplying gives us [tex]11.873x = 304,[/tex]  and dividing both sides by 11.873 yields[tex]x ≈ 25.63°.[/tex]  The approximate angle, x, that the second tree makes with the ground is closest to 35.0°.

Hence the correct option is B

To know more about triangle visit:

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Lucy reads 450 words in 3 minutes.
This is an equation that can be used to
find w, the number of words Lucy can
read in 20 minutes if she continues to
read at the same rate?

Answers

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.          

1 minute = 150 words so 150 words times 20 minutes = 3000 words.

An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answers

Each edge of the cube is 20cm. If it stayed on the edges it would need to walk on 3 edges for a total distance of 3 x 20 = 60 cm.

If it walked diagonally across the front face and then one edge it would travel:

Diagonal = sqrt(20^2 + 20^2) = 28.28

Total distance waling a diagonal and then an edge = 28.28 + 20 = 48.28 cm

The shortest distance would be diagonally across the front face then the edge to point B and the distance would be 48.28 cm.

An arc of length 12:57 cm
angle of 60° at the cen me
find the radius or the circle.
subrends an.
or a cordle.

Answers

Answer:

r ≈ 12 cm

Step-by-step explanation:

arc length = circumference × fraction of circle, that is

2πr ×[tex]\frac{60}{360}[/tex] = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r = [tex]\frac{4525.2}{120\pi }[/tex] ≈ 12 cm

4
Р
3
5
Q
2
.
2.5
1. The scale factor of the dilation that takes P to Qis
2. The scale factor of the dilation that takes to Pis
Blank 1:
Blank 2:

Helppppp!!

Answers

Answer:

a. 1.25

b . 0.8

Step-by-step explanation:

This is a question in scale factors

a. The sable factor that takes P to Q

In P, we are having sides 4, 2 and 3

In Q, we are having sides 2.5 and 5

From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5

So the scale factor would be;

4 * x = 5

or

2 * x = 2.5

Where x is that dilation factor that transformed 4 into 5

Thus, x would be 5/4 or 2.5/2 = 1.25

b. The scale factor that takes Q to P

This is the direct opposite of what we have in the first question.

Here, we want to go from Q to P

To get this, we simply divide what we have in P by what we had in Q

Hence, what we do here is;

2/2.5 or 4/5 = 0.8

the sum of 48 and itself its half and half of the hal is added to 18​

Answers

Answer:

150

Step-by-step explanation:

We are carrying out Addition

a) The sum of 48 and itself

= 48 + 48 = 96

b) Its half and half of the half

96 + (1/2 × 48) + (1/2 ×( 1/2 × 48)

= 96 + 24 +(1/2 × 24)

= 96 + 24 + 12

= 132

c) is added to 18

= 132 + 18

= 150

Therefore, the sum of 48 and itself, its half and half of the half is added to 18 is 150

The sum of 48 and itself its half and half of the half is added to 18​ is 150.

Given, we have a number 48.

We have to find the sum of 48 and itself its half and half of the half is added to 18​.

So, the half of the 48 is 24 and half of the half becomes 12.

Now the equation becomes,

[tex]48+48+24+12+18=150[/tex]

Hence the required sum is 150.

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Show that (-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)

Answers

Answer:

1/10=1/10

Step-by-step explanation:

(-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)

(-2/5)-(-1/2)=-3/5*(4-5/6)

-2/5+1/2=-3/5*(-1/6)=

-4+5/10=1/10

1/10=1/10

A certain forest covers an area of 2600 km^2. Suppose that each year this area decreases by 4.75%. What will the area be after 11 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1522km^2

Step-by-step explanation:

To solve this, first convert the percentage to a decimal. That would be .0475.

Now subtract that from 1.0 to get the factor it decreases by. This would be 1-.0475 = .9525

Multiply 2600 x (.9525)^11 = 1522.258 which rounds to 1522 km^2

Answer:

The area will be 1292.98 km² after 11 years.

Step-by-step explanation:

To find what decreases by 4.57% each year in kilometers:

2600 × 4.57/100 = 26 × 4.57

= 118.82 km²

To find the area after 11 years:

118.82 × 11 = 1307.02

2600 - 1307.02 = 1292.98 km²

1292.98 km² is the answer.

name four points that are not coplanar​

Answers

Answer: U, W, Z and Y

Step-by-step explanation:

4 points are not coplanar if there does not exist any plane that contains the 4 points.

So, a plane is formed by a line and one point outside of it.

Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

For example:

If first we select Point U and Point W, we will have a line, as shown in the image.

Now we can select the Point  Z, that is outside the line, and now we have the plane M that you can see in the image.

Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.

So, here we have that:

Points U, W, Z and Y are not coplanar.

Simplify the expression a-2b, when a=1.4 - 2x and b=-0.2x + 1.7 *

Answers

Answer:

a-2b= -1.6x-2.0

Step-by-step explanation:

[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]

{By, substituting the values of a and b in a-2b , we can find the value of a-2b}

Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approximated by -5t^2+5t+24, where T is the time in seconds after car through it completely factor the expression

Answers

Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

An empty row in a frequency table is a mistake True or false

Answers

Answer:

False I think

Step-by-step explanation:

use the formula S = 40,000 (1.06)t to calculate your salary after 4 years. Round your answer to the nearest dollar.



a. $42,400


b. $44,944


c. $47,641


d. $50,499

Answers

Answer:

d. $50,499

Step-by-step explanation:

Given:

S = 40,000 (1.06)^t

Where,

t=4 years

S=40,000(1.06)^4

=40,000(1.26247696)

=50,499.0784

To the nearest dollar

S=$50,499

The answer is d. $50,499

The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

Answers

Answer:

x ≈ 4.125 ft

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{11}{x}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )

8x = 33 ( divide both sides by 8 )

x = 4.125 ft

Bob says that he can find the area of the triangle below using the formula: A = [tex]\frac{1}{2}[/tex] * 8 *18 * sin (120°). Is he correct? Explain why or why not.

Answers

Answer:

No.

Step-by-step explanation:

No, Bob is not correct.

The formula he's using is the following:

[tex]A=\frac{1}{2} ab\sin(C)[/tex]

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.

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