A movie club surveyed 150 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table. Twice a month or less 48 Three times a month or more Comedy 24 Drama 57 21 (a) What percentage of the students prefer dramas? (b) What percentage of the students go to the movies twice a month or less?​

Answer:

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 18x + 81[/tex]

Step-by-step explanation:

[tex](x + 9) {}^{2} [/tex]

Apply foil method.

[tex](x + 9) {}^{2} = (x + 9)(x + 9)[/tex]

Multiply the first terms, X

[tex]x \times x = {x}^{2} [/tex]

Multiply outer terms, 9 and x.

[tex]x \times 9 = 9x[/tex]

Multiply inner terms,

[tex]9 \times x = 9x[/tex]

Multiply outer terms.

[tex]9 \times 9 = 81[/tex]

Add the inner and outer terms

[tex]9x + 9x = 18x[/tex]

Write in standard form

[tex] {x}^{2} + 18x + 81[/tex]

Complete question :

Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t

Determine how many minutes are needed for the probability to reach 80%.

Answer:

16.09 minutes

Step-by-step explanation:

Given the function :

F(t)=1−e^−0.1t

To attain 80% probability ; 80% = 0.8

0.8 = 1 - e^-0.1t

0.8 - 1 = - e^-0.1t

-0.2 = - e^-0.1t

Take the In of both sides

In(0.2) = In( e^-0.1t)

−1.609437 = - 0.1t

Divide both sides by - 0.1

−1.609437 / -0.1 = - 0.1t / 0.1

16.09 = t

Hence, the time it'll take will be 16.09 minutes

Answer:

80/100=0.80

.8=1-e^-0.3t

.8+1=-e^-0.3t

1.8=-e^-.3t

t=5.36

Step-by-step explanation:

It should be 4/7 ! If I'm wrong I apologize- but I hope this helps :)

Answer:

4/7 :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

expand

x-7= 1/4x-10/4

3/4x=18/4

multiply 4 on both sides to get rid of the denominator

3x=18

x=6

check work by substituting

6-7= 1/4(6-10)

-1= 1/4(-4)

-1=-1

they are equal, so it's correct

Answer:

Step-by-step explanation:

Answer:

4x-2

Step-by-step explanation:

(5x-10)+(-x+8)

5x-10-x+8

5x-x-10+8

4x-10+8

4x-2

Therefore, the sum is 4x-2

Answer:

4x - 2

Step-by-step explanation:

(5x - 10) + (-x + 8)

To solve this problem, one must simplify, combine like terms. One can only combine a variable unit with another variable unit, likewise, one can only combine a constant (numerical term) with another constant.

(5x - 10) + (-x + 8)

= 5x - 10 - x + 8

= 4x - 2

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

Answer:

BD = 8 in.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the easiest thing to do is to make the half squares which you have 4 into 2 whole  squares then base times height

4x3=12

Answer:

26cm²

Step-by-step explanation:

Alrighty, let's go count squares:

On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:

4 + 5 + 4 = 13

But, because each square is 2 cm, we have to multiply:

13 x 2 = 26

So, the area of the shaded section is 26cm²

hope this helps:)

Answer:

it could be the 5th one !!

Answer:

3x4

Step-by-step explanation:

If you draw a rectangle with a length of 4 and a width of 3, it will have 12 sq units as the area.

This is because A=lw. If the area is 12, the length and width must multiply to get 12. 3x4=12.

Answer:

there is what i would do to answer it

Answer:

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Step-by-step explanation:

A. p + (3p – 5) + (4p + 6)

B. p + (5 – 3p) + (6 + 4p)

C. p + 11

D. 8p + 1

E. 7p – 1

Lauryn = p tomatoes

Padma = (3p - 5) tomatoes

Kent = (4p + 6) tomatoes

Total number of tomato plants that Lauryn, Padma, and Kent grew = Lauryn + Padma + Kent

= p + (3p - 5) + (4p + 6)

= p + 3p - 5 + 4p + 6

= p + 3p + 4p - 5 + 6

= 8p + 1

Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1

A. p + (3p – 5) + (4p + 6)

D. 8p + 1

Answer:

-12

Step-by-step explanation:

the opposite of 12 is -12

Answer:

Well like what? It could be anything, but what do you mean "like these"

Step-by-step explanation:

Answer:

485297

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

circles are measur by 360°.

circles are similar triangle.

circles are two radis.

circles are one diameter.

Answer:

1,3,4

Step-by-step explanation:

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

The equation of an object in free fall is the equation of a parabola

The reason the above values are correct are as follows:

The known parameters are;

The direction of the baseball is up in the air

The values of the height of the baseball after x seconds is given as follows;

[tex]\begin{array}{ccc}\mathbf{Time, \ x}&&\mathbf{Baseball \ height, \ y}\\0.5&&18\\1&&24\\1.5&&22\\2&&12\end{array}\right][/tex]

To write the equation for the path of the baseball

Solution:

The general equation of the motion of free fall is the equation of a parabola, which can be written as follows;

y = a·x² + b·x + c

From the given table, we have;

18 = a·0.5² + b·0.5 + c = 0.25·a + 0.5·b + c

18 =  0.25·a + 0.5·b + c...(1)

24 = a + b + c...(2)

22 = 2.25·a + 1.5·b + c...(3)

12 = 4·a + 2·b + c...(4)

Subtracting equation (1), from (2), to get equation (5) and subtracting equation (3) from (4) to get equation (6) gives;

6 = 0.75·a + 0.5·b...(5)

-10 = 1.75·a + 0.5·b...(6)

Subtracting equation (5) from equation (6) gives;

-10 - 6 = 1.75·a - 0.75·a = a

a = -16

From equation (5), we get;

6 = 0.75 × (-16) + 0.5·b

b = (6 - 0.75 ×  (-16))/0.5 = 36

b = 36

From equation (2), we get;

24 = (-16) + 36 + c

c = 24 - ((-16) + 36) = 4

The equation for the path of the ball is y = -16·x² + 36·x + 4

The height of the baseball after 1.7 seconds

Solution:

The height, y, of baseball after 1.7 seconds is given by substituting for the time x = 1.7 in the equation of the baseball as follows;

After 1.7 seconds, y = -16 × 1.7² + 36 × 1.7 + 4 = 18.89

The height of the baseball y, after 1.7 seconds is 18.89 feet.

Learn more about motion of an object in free fall here:

https://brainly.com/question/14113699

Answer:

6

Step-by-step explanation:

f(s) = x^2 - 3

f(-3) = 6

f(0) = -3

f(1) = -2

f(2) = 1

Answer: the circumference of the entire circle is 28.26

The sector is 1/3 of the circle

The arc length is 9.42 in

ON EDGE

Answer:

The circumference of the entire circle is

28.26

π in.

The sector is

1/3

of the circle.

The arc length is

9.42

π in.

Step-by-step explanation:

Answer: A shirt costs $8 and the pants cost $ 12.

Step-by-step explanation:

Let x = Cost of each shirt, y = Cost of each pant.

As per given, we have

[tex]y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)[/tex]

Multiply 5 on both sides of (i), we get

[tex]5y-5x=20 \ \ \ (iii)[/tex]

Add (ii) and (iii), we get

[tex]5x=40\\\\\Rightarrow\ x=8[/tex]

From (i), y=4+8=12

Hence, a shirt costs $8 and the pants cost $ 12.

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

the answer is

13 cm:y

5 cm:x

2 cm:z

Answer:

261

Step-by-step explanation:

Answer: $19,610

Step-by-step explanation:

53000(.37)=19610