Which one is it
(1, 100)


(3, 49)


(4, 50)


(2, 74)

Answers:

Sample Variance = 31.03

Sample Standard Deviation = 5.57

See the table below.

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

Explanation:

M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.

For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.

Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.

Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.

--------------------------------------------------------------------------

After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].

This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03

This is the sample variance.

The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.

Answer:

See below ~

Step-by-step explanation:

Converting a decimal to a fraction :

A. (0.47)

B. (-0.47)

C. (0.--47)

Answer:

Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

Step-by-step explanation:

Step 1:  Determine 0.47 as a fraction

0.47 can also be expressed as 47% which means that there is 47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 2:  Determine -0.47 as a fraction

0.47 can also be expressed as -47/100.  We can see that there is no way that we can simplify the fraction even more so that is our final answer.

Step 3:  Determine --0.47 as a fraction

Two negatives (-), means that they cancel out and cause a positive (+).  For example, -1 * -1 gives us 1.  Therefore it would just be like the first one which is 47/100.

Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100

Answer:

29.4 m

Step-by-step explanation:

From the graph

From the equation

Answer:

x = 30.9

Step-by-step explanation:

[tex]x = \frac{1}{2} (138 - 76.2) = \frac{1}{2} (61.8) = 30.9[/tex]

Answer:

x = -2 - i,  -2 + i.

Step-by-step explanation:

3x2 = -12x - 15

3x^2 + 12x + 15 = 0

Divide through by 3:

x^2 + 4x + 5 = 0

x^2 + 4x = -5

Completing the square:

x^2 + 4x + 4 = -5 + 4

(x + 2)^2 = -1

x + 2 =  √-1 = i

x = -2 - i, -2 + i.

Answer:

Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}

= 6

Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}

=4

P( A is besides C)= 4/6

Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

Equation::

If words be x

Equation in slope intercept form

So

#1

More words=25-15=10

Cost:-

#2

Extra words=50-15=35

Cost:-

Answer:

a. $17.50

b. $31.25

Step-by-step explanation:

a.

For $12 you get 15 words.

For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.

cost = $12 + 10 × $0.55

cost = $12 + $5.5

cost = $17.50

b.

50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.

cost = $17.50 + 25 × $0.55

cost = $17.50 + $13.75

cost = $31.25

The system of equations that represents the imposed constraints is given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

A student may not serve more than 10 total hours per week, hence:

[tex]g + t \leq 10[/tex]

A student must serve at least 1 hour per week at each task, hence:

[tex]g \leq 1, t \leq 1[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

x = 3

Step-by-step explanation:

The diagonals of an isosceles trapezoid are congruent , then

4x - 1 + 4 = 2x + x + 6 , that is

4x + 3 = 3x + 6 ( subtract 3x from both sides )

x + 3 = 6 ( subtract 3 from both sides )

x = 3

Answer:

length: 40, width: 20

Step-by-step explanation:

length = 1/2×80/1 = 40

width = 1/4 × 80/1 = 20

hope this helps =)

Answer:

y = 2/5 x + 4/5

Step-by-step explanation:

First, we find the slpe of the line that is shown.

We go from point (-2, 2) to (0, -3).

We go 5 down, or a rise of -5.

Then we go 2 right, or a run of 2.

slope = m = -5/2

The perpendicular line has slope 2/5.

y = (2/5)x + b

2 = (2/5)(3) + b

10/5 = 6/5 + b

b = 4/5

y = 2/5 x + 4/5

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)

explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

Answer: d - the amount of space occupied by an object (its capacity)

Explanation:

        [a] The total distance around a figure is the perimeter, this does not answer our question.

        [b] The average of the sum of all items is the mean, this does not answer our question.

        [c] The exposed surface of a solid shape is the object's surface area, this does not answer our question

        [d] The amount of space occupied by an object is the object's volume, so this does answer our question.

Answer:

6

Step-by-step explanation:

If two secants are drawn from a point outside a circle, then product of one secant segment and its external part equal the product of the other secant segment and its external part.

(Secant-Secant Power Theorem)

(JG)(JH) = (JM)(JK)

(16) X (7) = (8+X)(8)

112=64+8X

8X=48

X=6

Answer:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

Step-by-step explanation:

Equation 1:  y = 4x - 2

Equation 2:  y = x + 3

Subtract Equation 2 from Equation 1 and solve for x:

⇒ 0 = 3x -5

⇒ 3x = 5

⇒ x = 5/3

Substitute found value of x into one of the equations and solve for y:

⇒ y = 5/3 + 3

⇒ y = 14/3

Therefore, the solution of the system of equations is:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

Read more about transformation at:

https://brainly.com/question/4289712

Answer:

x = -5

Step-by-step explanation:

Given:

[tex]\displaystyle \large{8x-5=5(x-4)}[/tex]

Distribute 5(x-4):

[tex]\displaystyle \large{8x-5=5x-20}[/tex]

Add both sides by 5:

[tex]\displaystyle \large{8x-5+5=5x-20+5}\\\displaystyle \large{8x=5x-15}[/tex]

Subtract both sides by 5x:

[tex]\displaystyle \large{8x-5x=5x-15-5x}\\\displaystyle \large{3x=-15}[/tex]

Divide both sides by 3:

[tex]\displaystyle \large{\dfrac{3x}{3}=\dfrac{-15}{3}}\\\displaystyle \large{x=-5}[/tex]

Therefore, your solution is x = -5

Answer:

x = -5

Step-by-step explanation:

Distributing the value in the RHS

Equating to the RHS

Bring x terms to the left and numbers to the right.

Divide both sides by 3.

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]

[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]

[tex]x_1 = 3.5[/tex]

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]

[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]

[tex]x_2 = 0.3[/tex]

The distance is:

[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

That would be :

4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

PROOF:        y + 5x = x² + 10

                    (4x - 10) + 5x = x² + 10

                     4x - 10  =  x² -5x + 10

   0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                  4x = x² -5x + 10 + 10

                   0  = x² -5x -4x + 20

                   0  = x² - 9x + 20

Solving:

            x² - 9x + 20 = 0

            x² - 5x - 4x + 20 = 0

            (x - 5) (x - 4)  = 0

         ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

Answer:

D,E

Step-by-step explanation:

17/10 miles

1/5*1+1/2*3=3/2+14/10=17/10

Answer:

1/5+3/2=2/10+15/10=17/10

[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]

[tex]\sf{A=8*5}[/tex]

[tex]\sf{A=40~ft^2}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\sf{A=4*8}[/tex]

[tex]\sf{A=32~ft^2}[/tex]

Now, add the areas:-

[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]

[tex]\sf{A=72+32}[/tex]

[tex]\sf{A=104}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

11000 pounds

Step-by-step explanation:

1 US ton=2000 pounds

multiply the mass value by 2000

5.5ton x 2000pound

=11000pounds

Answer: 45

Step-by-step explanation:

A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.

Answer:

4 years

Step-by-step explanation:

basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)

Answer:

x= -3

Step-by-step explanation:

Solve the following system:

{8 y + 4.2 x = 41.8

y - 4.2 x = 19.4

In the second equation, look to solve for y:

{8 y + 4.2 x = 41.8

y - 4.2 x = 19.4

y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:

y - (21 x)/5 = 97/5

Add (21 x)/5 to both sides:

{8 y + 4.2 x = 41.8

y = 1/5 (21 x + 97)

Substitute y = 1/5 (21 x + 97) into the first equation:

{4.2 x + 8/5 (21 x + 97) = 41.8

y = 1/5 (21 x + 97)

4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:

{(37.8 x + 776/5) = 41.8

y = 1/5 (21 x + 97)

In the first equation, look to solve for x:

{37.8 x + 776/5 = 41.8

y = 1/5 (21 x + 97)

37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:

(189 x)/5 + 776/5 = 209/5

Subtract 776/5 from both sides:

{(189 x)/5 = -567/5

y = 1/5 (21 x + 97)

Multiply both sides by 5/189:

{x = -3

y = 1/5 (21 x + 97)

Substitute x = -3 into the second equation:

Answer: {x = -3, y = 34/5

Answer:

A) -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...

  V = LBH

  V = (3k)(2k)(k) = 6k³

  3072 m³ = 6k³ . . . . . use known volume

  512 m³ = k³ . . . . . . . divide by 6

  8 m = k . . . . . . . . . take the cube root

The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.

Answer:

See below ↓↓↓

Step-by-step explanation:

Given :

Solving :

Solution :

Answer: 7.4.

Step-by-step explanation: To find the area of a triangle, you need the base, height, and then divide the results by two.  The following is done below:

A = h x b / 2, where h is the height, b is the base, and A is the area of the triangle.

A = 3.7 x 4 = 14.8.  

Next, 14/8 / 2 = 7.4.

Therefore, 7.4 is your answer.

Hope this helps! :)

Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

Answer:

The image of DEFG forms QUADRILATERAL SHAPE