The mean and standard deviation of a series of seventeen items are 25 and 5 respectively. While calculating these measures a measurement 53 was wrongly read as 35. Correct the error and find out the correct standard deviation and mean.

Answers

Answer 1

So, the corrected mean is 26, and the corrected standard deviation is approximately 4.41.


First, let's correct the error in the sum of the data. The incorrect sum can be calculated as follows:
(17 items × 25 mean) - 35 (wrong value) + 53 (correct value) = 425 + 18 = 443.
Now, we'll calculate the corrected mean:
443 (corrected sum) / 17 items = 26.
Next, we need to correct the squared sum for standard deviation calculation. We'll first find the incorrect squared sum:
(17 items × (5 standard deviation)²) + (35² - 53²) = 17 × 25 + (-756) = 425 - 756 = -331.
Now, we can find the corrected squared sum and variance:
(-331 corrected squared sum) / 17 items = -19.47 (approx).
Finally, we can find the corrected standard deviation by taking the square root of the corrected variance:
sqrt(19.47) ≈ 4.41.

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Related Questions

In the accompanying stem-and-leaf diagram, the values in the stem-and-leaf portions represent 10s and 1s digits, respectively. Stem Leaf 1 0 2 2 4 6 6 2 0 0 1 1 3 3 3 4 4 6 6 8 3 26799 4 79 How many v

Answers

There are 5 values each in the first and second rows, 4 values in the third row, and 2 values in the last row, making a total of 16 values in the stem-and-leaf diagram. The number of values shown in the diagram is 16. The required answer is 16.

In the given stem-and-leaf plot, the values in the stem-and-leaf regions represent 10s and 1s digits, respectively. Stem Leaf 1 0 2 2 4 6 6 2 0 0 1 1 3 3 3 4 4 6 6 8 3 26799 4 79 The leaf digits in the first row are 0, 2, 6, and 9. These values are in the ten’s place.
So, the values will be 10, 12, 16, and 19. Similarly, The second row has leaf digits 0, 0, 1, 1, 3, 3, 3, and 4, which correspond to 20, 21, 23, and 24.

The third row has leaf digits 4, 6, 6, and 8, which correspond to 34, 36, 36, and 38. The last row has leaf digits 7 and 9, which correspond to 47 and 49.

There are 5 values each in the first and second rows, 4 values in the third row, and 2 values in the last row, making a total of 16 values in the stem-and-leaf diagram.

Therefore, the number of values shown in the diagram is 16. The required answer is 16.

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Express the shaded area as a fraction, a decimal, and a percent of the whole.

Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

1/2 = fraction. 1.2= decimal 12%= percent

Answer:

1/2

0.5

50%

Step-by-step explanation:

The square  is spilt into 2 equal pieces, one out of the 2 is shaded therefore 1/2 is shaded. The decimal to represent the shaded area would be 0.5, as 1 times 1/2 = 0.5. As a percent the shaded area represents 50% as 1/2 times 100 (per cent = per hundred) is equivalent to 50.

I hope this helps :0).

slope -3/8y+-3/4x=12

Answers

Answer:

=

10 − 2 7 - 3

Step-by-step explanation:

23.06 minus 8.24 equals ??? Please help

Answers

Answer:

14.82

Step-by-step explanation:

Hope it helps :)

Answer: 14.82 is the answer.

Step-by-step explanation:

Ryan and Carlos are getting in shape for football season. Ryan starts at 140 pounds and gains two pounds per week. Carlos starts at 195 pounds but
loses three pounds per week. In how many weeks will they both weigh the same amount, and what will that weight be? (Hint: these are y = equations)

Answers

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

What is 5a-7a(3a+b+5c-12ab)

Answers

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Under his cell phone plan, Anthony pays a flat cost of $56 per month and $4 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Anthony can use while staying within his budget.

Answers

Answer:

x ≤ 3.5 gigabytes

Step-by-step explanation:

Under his cell phone plan, Anthony pays a flat cost of $56 per month and $4 per gigabyte. He wants to keep his bill under $70 per month.

Let us represent the number of gigabytes = x

Hence, our Equation is:

$56 + $4 × x ≤ $70

56 + 4x ≤ 70

Collect like terms

4x ≤ 70 - 56

4x ≤ 14

x ≤ 14/4

x ≤ 3.5 gigabytes

Therefore, the number of gigabytes Anthony can use while staying within his budget is less than or equal to 3.5 gigabytes

someone please help, whats the answer for this, write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7. y - _ = _ (x - _)

Answers

Answer :

y=7x-47

Step-by-step explanation:

\( (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)\)

\(y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47\)

I hope it helps

I'd really appreciate your help, please no joke answers

Find the distance from (7, -4) to y+3x - 5

Procedure would be apreciated

Image attached and an explaination I don't fully understsand

I'd really appreciate your help, please no joke answersFind the distance from (7, -4) to y+3x - 5Procedure
I'd really appreciate your help, please no joke answersFind the distance from (7, -4) to y+3x - 5Procedure

Answers

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       \(\sqrt{3^{2} } + (-1)^{2}\)

d = | 20 | / \(\sqrt{10}\)

d = 20 / \(\sqrt{10}\)

d = 2\(\sqrt{10}\)

The solid below is dilated by a scale factor of . Find the volume of the solid created
upon dilation.

The solid below is dilated by a scale factor of . Find the volume of the solid createdupon dilation.

Answers

The volume of the cube is 1,000 units³.

What is the volume of the cube?

The volume of a cube is calculated by raising the length of one of its edges to the power of 3 or multiplying the length, width and breadth.

For a cube, the  length, width and breadth are equal.

The volume of a cube is calculated as follows;

V = L³

where;

V is the volume of the cubeL is th edge length of the cube

V = 10³

V = 1,000 units³

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Can someone please explain to me.

Can someone please explain to me.

Answers

Answer:

A. 4.50 B. 1 : 3

Step-by-step explanation:

A.

First, think of Toby's money as 1/6x (x referring to the total amount of money) and Daoud's money as 1/2x.

It states that Toby gets 1.50, which means that 1/6x = 1.50.

To find what x is, multiply both sides by 6.

1/6x * 6 = 1.50 * 6

x = 9

Now that we know how much money there is in total, we can solve for Daoud's money. Daoud has 1/2x. We can substitute x for 9 and solve for Daoud's money.

1/2(9)

4.50

Daoud has 4.50.

B.

The problem states that Elsa gets the remaining money.

9 - (1.50 + 4.50)

9 - 6

3

Elsa gets 3.00.

Now, you can use turn solve the ratio of Toby's money and Elsa's money.

1.5 : 3

The problem states that they have to be whole numbers, so you can change the ratio to fit the requirements.

1 : 3

Suppose Jeff the cat has a gift certificate for a haircut. After the haircut. He
wants to leave an appropriate tip for the hairdresser. The receptionist says he
should leave exactly $3 if he wants the tip 20% of the price of the haircut.
What was the price of the haircut?

Answers

Answer:

Step-by-step explanation:

Answer: It was 15$

Step-by-step explanation:

Because you have to remember how to get 2o%

in 1940 john atansoff a physicist from iows state university wanted to solvve a 29 x 29 linear system of equations. how many arithmetic operations would this have required.

Answers

In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 x 29 linear system of equations. To solve this system using Gaussian elimination, it would have required approximately 29^3/3 = 24389 arithmetic operations.


In 1940, John Atanasoff developed the Atanasoff-Berry Computer (ABC), which was the first electronic computer. Atanasoff wanted to use the ABC to solve a 29 x 29 linear system of equations.

To solve this linear system, Atanasoff used a method called Gaussian elimination, which involves transforming the system into an upper triangular form and then using back substitution to solve for the unknowns. The number of arithmetic operations required for Gaussian elimination is proportional to the cube of the number of unknowns.For a 29 x 29 linear system, the number of unknowns is 29, and so the number of arithmetic operations required would be approximately:
29^3 = 24389Therefore, solving a 29 x 29 linear system of equations using Gaussian elimination would have required approximately 24,389 arithmetic operations. However, it's important to note that this estimate is based on the assumption that the ABC could perform arithmetic operations at a speed comparable to modern computers. In reality, the ABC was much slower, and so the actual number of operations required would have been much higher.

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When this net is folded up, which two points meet X?

When this net is folded up, which two points meet X?

Answers

The points will  meet x when it is folded are C or E

What is the point?

A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.

Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.

Given that,

A green colored Net,

After folding x point will  meet the points = ?

When we start folding,

First step,

Side ABCD and DEFG will be folded,

C and E will meet with each other

Second Step,

Side ABCD and AGHI will be folded,

B and I will meet with each other

Third step,

Side DEFG and AGHI will be folded,

F and H will meet each other

Fourth step,

Upper portion AHI will cover the upper portion BCF of the box

X will at position of C or E

Hence, the X will meet C or E

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What percent of 280 is 133?

Answers

Answer:

47.5

hope this helped

Answer:

47.5

Step-by-step explanation:

Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down 2 stairs in one turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time.









Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it
impossible to go forward. They can not cross 100th stair in anyway
I) How many times can they meet in between on same stair ?
II) Who takes least number of steps to reach near hundred?

Answers

To find the answers, we need to calculate the number of steps each player takes before they are unable to continue:

For Amar:

5 stairs up and 2 stairs down per turn

Net gain of 3 stairs per turn

It will take 32 turns to reach 96 stairs (32 * 3 = 96)

In the 33rd turn, Amar will climb 5 stairs and reach 100 stairs.

For Akbar:

7 stairs up and 2 stairs down per turn

Net gain of 5 stairs per turn

It will take 19 turns to reach 95 stairs (19 * 5 = 95)

In the 20th turn, Akbar will climb 7 stairs and reach 100 stairs.

For Anthony:

10 stairs up and 3 stairs down per turn

Net gain of 7 stairs per turn

It will take 14 turns to reach 98 stairs (14 * 7 = 98)

In the 15th turn, Anthony will climb 10 stairs and reach 100 stairs.

I) The players will meet on the same stair whenever they end up on a stair whose number is the same for any two players. To find out the number of times they meet on the same stair, we need to calculate the lowest common multiple (LCM) of the number of turns taken by each player to reach 100 stairs.

Amar takes 33 turns

Akbar takes 20 turns

Anthony takes 15 turns

LCM(33,20,15) = 660

Therefore, they will meet on the same stair 660/33 + 660/20 + 660/15 = 20 + 33 + 44 = 97 times.

II) Anthony takes the least number of steps to reach near hundred, as he only needs 15 turns to reach 98 stairs.

PLEASEE HELP MEEE what is the standard form of the following equation y= 5x + 0.5
A- 5x + y= 0.5
B- -5x-y= 0.5
C- -5x+y= 0.5
D- -5x+y= -0.5

Answers

Answer:

the standard form of y=5x+0.5 is B=-5x+y=0.5

Answer:

the answer is 5x - y= -0.5

joe buys groceries for his grandfather the groceries cost $42 plus 5% tax joe wants to know the total cost of the groceries including tax how much sales tax does joe pay on the groceries

its on iready

Answers

Answer: $44.10

====================================================

Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

----------

An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

why is water a necessary element for our bodies to function properly? summarize what can happen if a person becomes dehydrated.

Answers

Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.

Why is water a necessary element for our bodies to function properly?

Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.

Here,

Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.

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What is the length of the dotted line in the diagram below? Round to the nearest

tenth.

Answers

The length of the dotted line in the diagram is 8.6 unit

To find the length of the base of the rectangle apply the Pythagorean theorem in the triangle

Hypotenuse² = Base² + height²

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse² = 4² + 3²

Hypotenuse² = 25

Hypotenuse = 5

Now, applying the Pythagorean theorem in the rectangle

Hypotenuse² = Base² + height²

Here, Base of the rectangle  = 5

Height of the rectangle = 7

Hypotenuse² = 5² + 7²

Hypotenuse² = 74

Hypotenuse = 8.6

Hypotenuse = Length of the dotted line

Length of the dotted line = 8.6

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The question is incomplete complete question is :

What is the length of the dotted line in the diagram below? Round to the nearest tenth.

What is the length of the dotted line in the diagram below? Round to the nearesttenth.

How do you score 102 students play at least once by there is 40% of the students at the school how many students are at the school

Answers

If 102 students at least plays one sport and this is 40% of the students at the school, then there 255 students at the school

Let's assume that the total number of students in the school is "x".

40 percentage  of the students at the school play at least one sport. So, the number of students who play at least one sport is 0.4x.

We also know that the number of students who play at least one sport is 102. Therefore, we can write:

0.4x = 102

Move 0.4 to the right hand side of the equation

x = 102 / 0.4

Divide the numbers

x = 255

Therefore, there are 255 students at the school.

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QUICK If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line?

Answers

The required position of the -2.25 lies above the -2.25 on the vertical number line.

Given that,
If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line is to be determined.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Since -2.5 is 0.25 lower than -2.25, and also the -2.25 is greater than -2.5.
So on the vertical number line, -2.25 lies 0.25 units above the number -2.5.

Thus, the required position of the -2.25 lies above the -2.25 on the vertical number line.

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Answer:

On the vertical number line, -2.5 is located below -2.25.

Step-by-step explanation:

edmentum answer. have a good day


what is the equation?

what is the equation?

Answers

Answer:

y=22x

Step-by-step explanation:

If x=1 and y=22 then y=22x

Help ASAP thank youu

Help ASAP thank youu

Answers

Answer:

25°C

Step-by-step explanation:

C = 5/9(F - 32)

= 5(77 - 32)/9

= 5×45/9

= 5×5

= 25° C

Answer: The answer is 25°C.

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identify the surface with the given vector equation
r(u,v)=(u+v)i + (3-v)i+(1+4u+5v)k
im lost on where to start

Answers

To identify the surface with the given vector equation, we need to examine the coefficients of the variables in each component of the equation. In this case, we have:

r(u,v) = (u+v)i + (3-v)j + (1+4u+5v)k

This represents a vector-valued function in three-dimensional space. To see what surface it describes, we can look at the coefficients of u, v, and constants in the equation.

The coefficient of u is 4 in the k-component, so the surface will have a slope in the u-direction. The coefficient of v is 5 in the k-component, so the surface will also have a slope in the v-direction. The constant term is 1 in the k-component, so the surface will be offset by 1 unit in the positive k-direction.

Based on this information, we can conclude that the surface described by the given vector equation is a plane with a slope in the u and v directions, and is offset from the origin by 1 unit in the positive k-direction.

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This question is designed to be answered with a calculator An approximation of the area under the curve y=e+"sl over the interval [-1, 1) using a left Riemann sum with 4 equal subintervals is
a. 4.599. b.5.682 c.7.793 d. 8.293

Answers

After performing the calculations, the approximation of the area under the curve using a left Riemann sum with 4 equal subintervals is approximately 4.599. Therefore, the correct answer is (a) 4.599.

To approximate the area under the curve y = e^x over the interval [-1, 1) using a left Riemann sum with 4 equal subintervals, we need to calculate the width of each subinterval and evaluate the function at the left endpoint of each subinterval.

The width of each subinterval, Δx, is calculated as the difference between the endpoints of the interval divided by the number of subintervals. In this case, Δx = (1 - (-1)) / 4 = 2 / 4 = 0.5.

Next, we evaluate the function at the left endpoint of each subinterval, which means substituting the left endpoint values (-1, -0.5, 0, 0.5) into the function y = e^x.

Using a calculator, we can calculate the function values at each left endpoint and then sum up the areas of the rectangles formed by multiplying the function values by the width Δx.

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I’m once again asking for your Mathematical support!

Im once again asking for your Mathematical support!

Answers

Answer:

Step-by-step explanation:

let x= hamburger

let y= hot dogs

Jalen:       5x+3y=28.50

Victoria:    2x+6y=21

is second choice

x/3 + 3 = 4.Find the value of x

Answers

Answer:

3

Step-by-step explanation:

x/3 + 3 = 4

x/3 = 4 - 3

x/3 = 1

x = 3

Answer: x = 3

Step-by-step explanation:

Given

x/3 + 3 = 4

Subtract 3 on both sides

x/3 + 3 - 3 = 4 - 3

x/3 = 1

Multiply 3 on both sides

x/3 × 3 = 1 × 3

\(\boxed{x=3}\)

Hope this helps!! :)

Please let me know if you have any questions

y = 2/3 x-1
y = -1/3 x + 2 System of equation

Answers

Answer:

See Below

Step-by-step explanation:

y= 2/3x - 1

y= -1/3x +2

Use substitution

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

+1/3         +1/3

x-1 = 2

+1   +1

x = 3

Plug that in

y = 2/3(3/1) -1

3 cancel out leaving it with

y = 2-1

y = 1

(3,1)

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Answers

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

How to find the slope and the y-intercept?

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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High viscosity of respiratory medium Low oxygen content of respiratory medium Risk of evaporation Slow molecular movement through respiratory medium As a consequence of these limitations, terrestrial animals often have respiratory surfaces such as lungs that form an extensive select answer -protruding membrane system through which air flows in a bidirectional manner. inward outward