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The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number

Answer:

80.5

Step-by-step explanation:

The number of ways to elect a Chair and a Vice Chair is 156.

Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:

As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.

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Answer:The number of ways to elect a Chair and a Vice Chair is 156.

Step-by-step explanation:

Answer:

Less than(<)

55% of 60 is 33

60% of 65 is 39

when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.

[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]

note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.

That said, the answer is less than.

Answer:

x= 2, x= -12

Step-by-step explanation:

cuz i said so

first move the 24 to the other side of the equation by subtracting it from both side's

now the equation looks like this

x^2+10x-24

then find values that add to equal 10 and that also multiply to equal -24

this works out to (x-2) (x+12)

which means that x is equal to 2 and -12

Answer:

30

Step-by-step explanation:

[tex] - 6(x - 16) = - 84[/tex]

[tex]x - 16 = 14[/tex]

[tex]x = 30[/tex]

The value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not given, then we can estimate it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, since the sample size is 81 > 30, and we want to compare the mean (population mean) with some hypothesized mean (3.5 here), therefore, we can use one-sample z-test, which has the aforesaid test statistic.

We're provided that:

Thus, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s} = \dfrac{3.25 - 3.5}{0.3} \approx -0.83[/tex]

Thus, the value of the test statistic to test the claim of comparison of average GPA is found to be -0.83 approximately.

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Answer:

A. Answer is 2263.

Checkpoint 1 is -86 Checkpoint 4 is 2177

Subtract -86 from 2177....2177-(-86)   

=2263

2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)

B. 239 FEET.

the altitude of the hill must be subtracted by the depth of the ckeckpoint(2)(-189)

therefore the altitude of the hill comes out to be 428-189=239feet.

therefore,the actual altitude of the hill is 239 feet.

Answer:

1:8

Step-by-step explanation:

First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.

Answer:

So that it can run faster

Answer:

[tex]a = change \: in \: v \div time[/tex]

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

Answer:

AB is chord

GF is tangent

DE is diameter

HJ is secant

C is center of the circle

DC is radius

K is point of tangency

AB is arc

Step-by-step explanation:

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

Proportional relationships are relationships between two variables where their ratios are equivalent.

Inverse variation It is expressed as;

x ∝ 1/r then x = k/y

Where k is the proportionality constant.

Given the data in the question;

First we find the proportionality constant.

x = k/y

4 = k / -9

k = -36

Now, If x = 6 then y = ?

x = k/y

6 = -36 / y

6y = -36

y = -36 / 6

y = -6

Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.

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Step-by-step explanation:

just multiply the 2 together to get the area

it would just be

[tex](5x) \times (2{x}^{2} - 4x + 13)[/tex]

use the distributive property

[tex]10 {x}^{3} - 20 {x}^{2} + 65[/tex]

unless you want to simplify the answer, this would be the answer

simplified, it would be

[tex]5(2{x}^{3} - 4 {x}^{2} + 13)[/tex]

Answer:

6.54498

Step-by-step explanation:

The formula that you use to solve this is (0/360)pi*radius2. You have to plug in the information that you are already given.

Answer:

1550 miles

Step-by-step explanation:

rate * time = distance

620 m/hr  *  2.5 hr = 1550 miles

(Note that   2 hr and 30 min is 2 and 1/2 hours = 2.5 hours)

Answer:

452.16 in^3

Step-by-step explanation:

Volume of a cone = 1/3 pi r^2 h

                               = 1/3 (3.14)(6^2) (12)

Answer:

1905.9 cubic feet

Step-by-step explanation:

Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height

Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet

Round to nearest tenth - 1905.9 cubic feet

:)

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Answer:

the question is asking what it is the segment between HB,HG and CG

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

4:8 and 3:6 when simplified gives the same result which is 1:2

Answer:

A.) Yes, they do catch fish at the same rate.


Daniel:
4 : 8


Lester:
3 : 6



Both of these ratios have a rate of 1 catfish for every 2 trout. Daniel has just caught 1 more catfish and 2 more trout.

4 - 1 = 3
8 - 2 = 6

Both have a rate of catching 1 catfish for every 2 trout.

Step-by-step explanation:

Have a great rest of your day
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Answer:

[tex]\textsf{Slope of line q}: \quad 3[/tex]

[tex]\textsf{Slope of line p}:\quad -\dfrac{1}{3}[/tex]

[tex]\textsf{Equation of line p in slope-point form}: \quad y+5=-\dfrac{1}{3}(x-6)[/tex]

[tex]\textsf{Equation of line p in slope-intercept form}: \quad y=-\dfrac{1}{3}x-3[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y = mx + b[/tex]

(where m is the slope and b is the y-intercept)

Given:

Therefore, the slope of line q is 3.

As line p is perpendicular to line q, the slope of line p is the negative reciprocal of the slope of line q.

Therefore, the slope of line p is -1/3

Equation of line p, using the point-slope form, the slope of -1/3 and the point (6, -5):

[tex]\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-(-5) &=-\dfrac{1}{3}(x-6)\\y+5 &=-\dfrac{1}{3}(x-6)\end{aligned}[/tex]

Simplify to slope-intercept form:

[tex]\implies y=-\dfrac{1}{3}x-3[/tex]

Slope of q:-

Perpendicular line's have slopes negative reciprocal to each other

Slope of p

Passes through (6,-5)

Equation in point slope form

Answer:

175,424.02

Step-by-step explanation:

multiply 145,117 by 106%

multiply 1800 by 12 (months in a year)

add 21600 to 153,824.02

Answer:

The answer is A.

Step-by-step explanation:

I used an online Calculator to calculate it for you.

(x + 4) * (x - 4) * (x + 2)
(x^2 - 4^2) * (x+2)
x^3 + 2x^2 - 16x^2 - 32

Answer:

see below

Step-by-step explanation:

3 green   for  5   red

then   3 out of (3+5)   are green   ... or  3/8 are green

3/8 * 160 = green         = 60 green

Answer:

60 green candies

Step-by-step explanation:

We know the proportion :

Let's make a linear equation where candies is denoted by x.

Number of green

Answer: 1/5

Step-by-step explanation:

The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.

First, let's expand both sides of the equation:

2x(x - 8) = (x + 1)(2x - 3)

[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]

Now, combine like terms on the right-hand side:

[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]

Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:

-16x = -4x + 3

Now, bring all the x terms to one side by subtracting -4x from both sides:

-16x + 4x = 3

Simplify the left-hand side:

-12x = 3

Finally, solve for x by dividing both sides by -12:

x = 3 / -12

x = -1/4

So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.

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Answer:

Equation B is the same as Equation A + 2

Step-by-step explanation:

To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.

Equation B: 5x+x=x-4.

Equation A: 5x-2+x=x-4.

Simplifying equation A to be in the form of equation B:

5x -2 + x = x - 4

Adding 2 to both sides:

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

5x + x = x - 4 + (+2)

= equation A + 2

But 5x+x=x-4 = equation A

Therefore Equation B is the same as Equation A + 2

Answer:

y=-1/4x+9/4

Step-by-step explanation:

Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)

4 turns into -1/4

To get the y-intercept, plug in the given coordinate values into this formula:

y=mx+b

3=-3(-1/4)+b

3-3/4=b

b=9/4

b is our y-intercept

9/4 is our y-intercept

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]

so therefore

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]

so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]

Answer:

5

Step-by-step explanation:

A=a+b/2 x h

4 = a

5 = b

8 = h

4 + 5 / 2 = 4.5

4.5 x 8 = 36

So the other base length is 5