How do I solve this question

How Do I Solve This Question

Answers

Answer 1

Answer:

Part 1) [tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

Part 2) The variance is equal to [tex]Variance=70,000[/tex]

Part 3) [tex]Standard\ Deviation=265[/tex]

Step-by-step explanation:

step 1

Find the mean of the areas

we have

[tex][2,400,1,750,1,900,2,500,2,250,2,100][/tex]

To find the mean sum all the values and divide by the number of values

The number of values is 6

so

[tex][2,400+1,750+1,900+2,500+2,250+2,100]/6=2.150[/tex]

The Mean is [tex]2.150[/tex]

step 2

For each number subtract the Mean

[tex][(2,400-2,150),(1,750-2,150),(1,900-2,150),(2,500-2,150),(2,250-2,150),(2,100-2,150)][/tex]

[tex][(250),(-400),(-250),(350),(100),(-50)][/tex]

step 3

Find the Variance

To calculate the Variance, take each difference, square it, and then average the result

[tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

[tex]Variance=420,000/6=70,000[/tex]

step 4

Find the standard deviation

The Standard Deviation is just the square root of Variance

so

[tex]Standard\ Deviation=\sqrt{70,000} =265[/tex]


Related Questions

In the xy-coordinate plane shown below, point P has coordinates (8,-6). Which
of the following is an equation of the line that contains points O and P?
a. y = -x + 4
b. y = -x
c. y = x - 4
d. y=-3X

Answers

The answer will be D

Final answer:

The equation of the line passing through points O(0,0) and P(8,-6) is y = -3/4x.

Explanation:

To find the equation of a line, we need to determine its slope and y-intercept. The slope can be found using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are coordinates of two points on the line. In this case, we have the coordinates of points O and P: O(0,0) and P(8,-6).

The slope of the line passing through O and P is (-6 - 0) / (8 - 0) = -6 / 8 = -3 / 4.

Since the line passes through the origin (0,0), its y-intercept is 0. Therefore, the equation of the line is y = -3/4x.

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Type the correct answer in each box. Use pi= 22/7, and round your answers to the nearest interger. The perimeter of the largest cross section of a sphere is 88 centimeters. The radius is 14 cm. The volume of the sphere is __ cm^3

Answers

Answer:

11,499 cm^3

Step-by-step explanation:

The volume of a sphere is given by the formula  [tex]V=\frac{4}{3}\pi r^3[/tex]

The radius is given as 14, we plug it into the formula and find the volume:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(\frac{22}{7}) (14)^3\\V=11498.66[/tex]

rounded to nearest integer, the volume is 11,499

Answer:

r=14 cm

V=11499 cubic cm

Step-by-step explanation:

If the radius of the sphere is r cm, then the perimeter of the largest cross section is the circumference of the circle qith radius r. Thus,

[tex]88=2\pi r,\\ \\r=\dfrac{88}{2\pi}=\dfrac{44}{\pi}=\dfrac{44}{\frac{22}{7}}=\dfrac{44}{1}\cdot \dfrac{7}{22}=14\ cm.[/tex]

Thvolume of the sphere can be calculated using formula

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

Since r=14 cm, we get

[tex]V=\dfrac{4}{3}\cdot \dfrac{22}{7}\cdot 14^3=\dfrac{4\cdot 22\cdot 2\cdot 14^2}{3}=\dfrac{34496}{3}\approx 11499\ cm^3.[/tex]

I need to know number six and thank you guys for all the help

Answers

Answer:

D

Step-by-step explanation:

First of all, a very easy way is to count all the rectangles and then count the squares that are shaded and have balloons.

You'll get 7 squares that are shaded and have balloons and 16 rectangles in total.

So the fraction will be [tex]\frac{7}{16}[/tex]

Another simple way is to just multiply [tex]\frac{7}{8}[/tex] and [tex]\frac{1}{2}[/tex]

[tex]\frac{7}{8}*\frac{1}{2}=\frac{7}{16}[/tex]

Paul graphed the equation y=6 + x. What is the y-coordinations of the point on the graph that has an x coordinate of 12

Answers

Answer:

its 18

Step-by-step explanation:

6+12=18

lol

Answer:

y = 18

Step-by-step explanation:

Just let x = 12

y = 6 + x

y = 6 + 12

y = 18

When x = 12, y = 18.

The graph is included to show you what y = 6 + x looks like and it also shows the point (12,18) = (x,y)

Select all of the values that are solutions to this inequality.

Answers

Answer:

12, 18.

Step-by-step explanation:

2x-5 < 33

2x < 38

x < 38/2

x < 19

Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? (Hint: double time means 2 times the regular hourly rat.)

Answers

your answer would be $405.60

The answer is 709.8 You would do 8.45 times 40 = 338 now since he did overtime you multiply it by 2. 338*2= 676. He also did another 4 hours 8.45*4=33.8 now you add these together 33.8+676 = 709.8

NEED HELP ASAP!! Worth 15 pts!!

Answers

Answer:

p = 1/6

Step-by-step explanation:

5/6 - 1/3 n = p(5-2n)

Multiply each side by 6 so we do not have any fractions

6(5/6 - 1/3 n) = 6*p(5-2n)

5 - 2n = 6p (5-2n)

Divide each side by (5-2n) to isolate 6p

(5-2n)/(5-2n) = 6p (5-2n)/ (5-2n)

1 = 6p

Now divide by 6 to get p alone

1/6 = 6p/6

1/6 = p

The total surface area of a cube is 600 sq cm what is the length of one edge of the cube

Answers

Answer:

4.64

Step-by-step explanation:

s = 6a^3

600=6a^3

100 = a^3

solve for a which would be 4.64

central school is hosting a "central has talent" show. they will award various prizes for the best acts in the show. first place wins the most money

Answers

the answer is b and f

Answer:

b f

Step-by-step explanation:

Mr. Abrams conducted a survey of 355 students. 72% of them said that they study for tests. How many students said they study for tests?

Answers

Rounded Answer: 256

Exact Answer : 255.6

simplify each product.
1.) -3p^2(5p^2+p-7)
2.) (2n-5)(n-3)
3.) (5x-3)^2
4.) (n+5)^2
5.) (j+9)(j-9)​

Answers

Answer:

number 1 my fried here justin has been taken

Step-by-step explanation:

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2

x + y = 14 and x - y = 2

x + y = 14 and y - x = 2

Answers

Answer:

B. x + y = 14 and x - y = 2

Step-by-step explanation:

Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).

Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).

I hope this helps =)

Answer:

Option B. will be the answer.

Step-by-step explanation:

If the tens digit is x and ones digit is y, then the number formed will be xy.

Now we fill form the equations as per statements given in the question.

"The difference between tens and unit digits is 2"

x - y = 2 --------(1)

"Sum of the digits of two digit number is 14"

x + y = 14 -------(2)

Therefore, system of equations will be as the given equations 1 and 2.

Option B is the answer.

F(x)=-3x+4 and g(x)=x^2 what is (g ° f)(0)

Answers

Answer:

[tex]\left(gof\right)\left(0\right)=16[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].

Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:

[tex]\left(gof\right)\left(0\right)[/tex]

[tex]=g\left(f\left(0\right)\right)[/tex]

[tex]=g\left(-3\left(0\right)+4\right)[/tex]

[tex]=g\left(0+4\right)[/tex]

[tex]=g\left(4\right)[/tex]

[tex]=4^2[/tex]

[tex]=16[/tex]

Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].

Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.

Answers

Answer:

Thus, the fourth answer choice is the correct one

Step-by-step explanation:

Let's check this, using the Pythagorean Theorem:

"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."

Does 2² + (√6)² = 3²?

Does 4 + 6 = 9?  NO.   .

Ty had 10 eggs. He made 4 servings of scrambled eggs. He used n eggs for each serving.
create an expression to represent the number of eggs Ty has left.

Answers

[tex]10-4n=x[/tex]

Hope this helps.

Brainliest would help me as well.

Final answer:

The number of eggs Ty has left after making 4 servings of scrambled eggs, using n eggs for each serving, is represented by the algebraic expression 10 - 4n.

Explanation:

To determine the number of eggs Ty has left after making scrambled eggs, we need to use a simple algebraic expression. If Ty started with 10 eggs and used n eggs for each of the 4 servings, we can represent the number of eggs used in total as 4n.

To find the number of eggs remaining, we subtract the total number of eggs used from the initial number of eggs:

Number of eggs remaining = Initial number of eggs - Number of eggs used

Number of eggs remaining = 10 - 4n

Algebraic Reasoning please help!

Answers

Answer:

[tex]\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix.  So,

[tex]\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7[/tex]

then...

[tex]\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4[/tex]

and

[tex]\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2[/tex]

I hope it helps.

Post A and Post B are 120 meters apart. Post B and Post C are 300 meters apart. Ben cycled from Post A to Post B in 15 seconds. Then he cycled from Post B to Post C in 55 seconds. Find Ben's average speed for the distance from post A to Post C.
Show work

Answers

Answer: 6 meters per second

Step-by-step explanation:

Final answer:

Ben's average speed from Post A to Post C is 6 meters per second, calculated by dividing the total distance cycled (420 meters) by the total time taken (70 seconds).

Explanation:

The subject of the problem is calculating average speed. In this context, Ben's average speed can be calculated by dividing the total distance cycled by the total time taken.

Total distance is the sum of the distance from Post A to Post B and from Post B to Post C, which is 120 meters + 300 meters = 420 meters.

Total time is the sum of the time taken from Post A to Post B and from Post B to Post C, which is 15 seconds + 55 seconds = 70 seconds.

So, Ben's average speed=Total Distance/Total Time.
This equals 420 meters/70 seconds= 6 meters/second.

Therefore, Ben’s average speed for the entire distance from Post A to Post C is 6 meters per second.


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Mary spends 2 2/3 hours on math homework every week. She also spends 3 1/3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?

Answers

Answer:

2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.

Step-by-step explanation:

Final answer:

Mary spends a total of 24 hours on math and art homework combined over a period of 4 weeks.

Explanation:

Mary spends 2 2/3 hours on math homework and 3 1/3 hours on art homework each week.

To find out how much time she spends on both subjects over 4 weeks, first, we add the weekly hours:

2 2/3 + 3 1/3 = 6 hours per week.

Next, we multiply this weekly total by 4 to determine the monthly total: 6 hours/week × 4 weeks = 24 hours.

Therefore, Mary spends a total of 24 hours on math and art homework over 4 weeks.

Which of the following is the solution for 9<=1-4x<21

Answers

Answer:

-5 < x <=-2

Step-by-step explanation:

9<=1-4x<21

Subtract 1 from each side

9 -1<=1-1-4x<21-1

8 <= -4x < 20

Divide each side by -4.  That means to flip all inequalities

8/-4 >= -4x/-4 >20/-4

-2 >=x > -5

-5 < x <=-2

f(x)=4(x-1)^2-9 into standard form​

Answers

Answer:

y=4(x-1)^2-9

Step-by-step explanation:

Replace f(x) with y to find the properties of the parabola

The answer would be y=4(x-1)^2-9

Find the volume of the prism.

Answers

Answer:

[tex]V=120\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a prism is equal to

[tex]V=BL[/tex]

where

B is the area of the base of the prism (triangular base in this problem)

L is the length of the prism (perpendicular distance between the top and the bottom)

Find the area of the triangular base B

[tex]B=\frac{1}{2}(3)(4)=6\ units^2[/tex] ---> area of a triangle

we have

[tex]L=20\ units[/tex]

substitute in the formula of volume

[tex]V=6(20)=120\ units^3[/tex]

Note The problem does not specify whether the measurements are in centimeters or in units, so I assume they are in units.

Find the area of the rhombus.
Please help ASAP

Answers

Answer:

The area of rhombus = 195 yd²

Step-by-step explanation:

Points to remember

Area of rhombus = d₁d₂/2

Where d₁ and d₂ are the diagonals of the rhombus

To find the area of given rhombus

Here diagonals of rhombus are given

From the figure we get,

d₁ = 13 + 13 = 26 yd and

d₂ = 7.5 + 7.5 = 15 yd

Area = d₁d₂/2 = (26 * 15 )/2 = 13 * 15 = 195 yd²

Therefore the area of rhombus = 195 yd²

Simplify 4y-8y^2+9y-7y^2

Answers

Answer: D) 13y+15y^2

Step-by-step explanation:

(4y+9y)+(-8y^2-7y^2)=13y-15y^2

4y-8y^2+9y−7y^2

=4y+ −8y^2+9y+ −7y^2

Combine Like Terms:

=4y+ −8y^2+9y+ −7y^2

=(−8y^2+ −7y^2)+(4y+9y)

= −15y^2+13y

7|n| = 56
anyone know how to do dis?!?!​

Answers

Answer:

{-8, 8}

Step-by-step explanation:

Simplify   7· |n| = 56 by dividing both sides by 7:  

|n| = 8

Because this is an absolute value equation, there are two separate solutions.  One is n = +8 and the other is n = -8.

There are two solutions.

[tex]

7\times\mid n\mid=56\Longrightarrow\mid7n\mid=56 \\

\mid7\times x_1\mid=56\Longrightarrow x_1=\frac{56}{7}=\boxed{8} \\

\mid7\times(-x_1)\mid=56\Longrightarrow-x_2=\frac{56}{7}\Longrightarrow x_2=\boxed{-8}

[/tex]

y < -2x + 4 what is the solution to the inequality?

Answers

Answer:

x<\frac{-y+4}{2}

Step-by-step explanation:

Hope this helps!!!

can i get brainliest plzzz thx

Pls help!!!
So I been needing help for the past week now and my friends dk either cuz they just as dumb as me.

Answers

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\implies \stackrel{\textit{8\% of (s)ales}}{\left(\cfrac{8}{100} \right)s}\qquad \qquad \begin{cases} c=commission\\ s=total~sales \end{cases}[/tex]

[tex]\bf \stackrel{\textit{her (c)ommision is 8\% of (s)ales}}{c = \cfrac{8}{100}s\implies c=\cfrac{8s}{100}}\implies \stackrel{\textit{we know she made 2560 in commision}}{2560=\cfrac{8s}{100}\implies 256000=8s} \\\\\\ \cfrac{256000}{8}=s\implies 32000=s[/tex]

te
5. A farmer found a crop circle in his fields. He rode his tractor around it, and found that its
circumference was 1.884 miles. He rode his tractor directly across the center, and found
that the diameter was 0.6 miles. What is the area of the crop circle?

Answers

Answer: 0.283 square miles

Step-by-step explanation:

The area of a circle is:

Diameter:A = (π/4) × D2

or, when you know the Circumference:A = C2 / 4π

An ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin. Which is the equation of the ellipse in standard form?

Answers

ANSWER

[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]

EXPLANATION

The given ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin.

The equation of an ellipse with vertex on the y-axis and center at the origin is given by

[tex]\frac{ {y}^{2} }{a ^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]

[tex]\frac{ {y}^{2} }{( - 7) ^{2} } + \frac{ {x}^{2} }{ {4}^{2} } = 1[/tex]

[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]

Final answer:

The equation of the ellipse with a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin is x^2/16 + y^2/49 = 1.

Explanation:

To find the equation of the ellipse in standard form, we need to identify the lengths of the major and minor axes. The given vertex at (0, -7) indicates that the semi-major axis length, a, is 7 because the distance from the center to a vertex measures the semi-major axis. Similarly, the co-vertex at (4, 0) represents the semi-minor axis length, b, which is 4.

Since the center is at the origin (0, 0), the standard form of the ellipse equation is given by x^2/b^2 + y^2/a^2 = 1. Plugging the values of a and b, we get x^2/4^2 + y^2/7^2 = 1. So, the equation of the ellipse is x^2/16 + y^2/49 = 1.

the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. elia paid $2.52 for 6 oranges. if p represents the cost(in dollars) and n represents the number of oranges, find the unit rate​

Answers

Step-by-step explanation:

6 oranges =$2.52

1 orange=$2.52/6

=$0.42

Answer:

Step-by-step explanation:

The answer is aP=0.42n

To get to that answer all you have to do is 2.52/6=0.42

6 oranges=2.52

1 oranges=0.42

What number is an outlier for the given data? 23,34,27,7,30,26,28,31,34. A)7 B)23 C)31 D)34

Answers

Answer:

A) 7

Step-by-step explanation:

The outlier of a given data set is one that is significantly larger or smaller than the rest of the data.

In this set, most of the values are within the 25-35 range, more or less. But out of all of those numbers, one of the is too small to make sense, which is 7.

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