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Elena-2011 [213]

2 years ago

5

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?

1 answer:

erma4kov [3.2K]2 years ago

4 0

Answer:a)

a) 68%

b) 44%

Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100

= 17/25 × 100

= 68%

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1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,

omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube: $V=s^3\\$ (s - side length)

Formula for Surface Area of a Cube: $SA=6s^2$ (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

$V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}$

The volume of cube one is 3375in³.

Find the surface area:

$SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}$

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

Find the volume:

$V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}$

The volume of cube two is 512in³.

Find the surface area:

$SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}$

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0

2 years ago

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.

algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.

Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is $=AB+BE+ED+DC+CA$

$=18+17+8+18+15$

$=76 \ ft$

Area of the polygon = Area of Rectangle + Area of Triangle

$=[(18) \times (15)] + [(\frac{1}{2}) \times (8) \times (15)]$

$=270 + [(\frac{8}{2}) \times (15)]$

$=270 + [4 \times (15)]$

$=270 + 60$

$=330 \ {ft}^{2}$

7 0

2 years ago

Read 2 more answers

Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4

bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0

2 years ago

A box contains four $1 and six $5 bills. if three bills are selected at random without replacement, find the probability that al

myrzilka [38]

Answer:

C.1/6

Step-by-step explanation:

Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;

(number of $5 bills) / (total number of bills)

= (6)/(4+6) = 3/5

If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (5)/(4+5) = 5/9

The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.

Now, the probability of picking a $5 bill in the third attempt will be given as;

(new number of $5 bills) / (new total number of bills)

= (4)/(4+4) = 1/2

Since the three attempts are independent, the probability of picking all three $5 bills is;

3/5 * 5/9 * 1/2 = 1/6

7 0

2 years ago

Solve <br>In 2x + In 2=0

irakobra [83]

Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Step-by-step explanation:

We need to solve: $ln(2x)+ln(2)=0$

Solving:

$ln(2x)+ln(2)=0$

Adding -ln(2) on both sides:

$ln(2x)+ln(2)-ln(2)=0-ln(2)$

$ln(2x)=-ln(2)$

Using logarithmic rule: if $log_a b =c\,\,then\,\, b=a^c$

So,

$2x=e^{-ln(2)}$

Simplifying:

$2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}$

So, Solving $ln(2x)+ln(2)=0$ we get, $x=\frac{1}{4}$

Keywords: Logarithms

Learn more about Logarithms at:

#learnwithBrainly

4 0

3 years ago