Mathematics College

7. Carolina surveyed students about their
favorite music. Her results are shown in
the table.
Favorite Music
Music Number of Students
Country
18
Rock
8
Pop
20
Hip Hop
14
Based on the data in the table, what is
the probability that a randomly selected
student prefers hip hop music?
a)
b) 1 / 1
d)

Answers

Answer 1

Answer:

[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

14 students prefer hip hop music

There are 18 + 8 + 20 + 14 = 62 students

So

[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]

[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.

Related Questions

Simplify secxcscx/1+tan^2x.

Answers

Answer:

It's cot x :)

Step-by-step explanation:

I'm not really good at explaining,but I know that's the answer :))

Donna deposits $275 into her savings account. She leaves the money in her account,
untouched, for 6 years. If the account earns 4.5% simple interest each year, how much simple
interest will she have earned by the end of the sixth year?

$7,425.00
$74.24
$206.25
$12.38

Answers

$7,425.00 this is because first you have you have to multiply 6 by 4.5%.Then that. answer (27) multiplied by 275.

The simple interest earned by Donna by the end of the sixth year is $74.24

What is simple interest?

Simple interest is the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.  

Given that, Donna deposits $275 into her savings account for 6 years, the account earns 4.5% simple interest each year,

We need to find the interest earned by the end of the sixth year

Simple Interest = PRT / 100

Where,

P = Principal ($275)

R = rate (4.5%)

T = time (6 years)

SI = 275 × 6 × 4.5 / 100

= 7425 / 100

= 74.25

Hence, the simple interest earned by Donna by the end of the sixth year is $74.24

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When a number is increased by 35, the result is 38. What equation fits this statement

Answers

Answer:

3 + 35 = 38?

Step-by-step explanation:

An event planner is reserving rooms for a company wide event. Each conference room can hold 22 people and 100 people are scheduled to stay in the ballroom, together they must hold 914 people who are attending, How many conference rooms will they need?

Answers

Answer:

37

Step-by-step explanation:

914-100=814

814/22=37

Find the frequency for the pitch E shown. Plz ASAP help

Answers

Answer: 659Hz

Step-by-step explanation:

got right on edge

Answer:

659 Hz

Step-by-step explanation:

Edge 2021

Just did the work

Mrs. Hart went to get her nails done at the salon. The cost was $35.00. What is the total amount if tax is 6% and she wants to leave a 18% tip?
A. $24.00
B. $43.40
C. $8.40
D. $59.00

Answers

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

10 points. Need answer fast!.
How many different arrangements can be made with the letters from the word MATH?
A. 24
B. 6
C. 256
D. 8

Answers

Answer:

b

Step-by-step explanation:

Find the measure of the smaller angle formed by the hands of a clock at the following time.
5:25

Answers

Answer: 12°30’

Step-by-step explanation:

Pleaseee helpp ASAP....

Answers

Answer:

x intercept= (-250,0)

y intercept=(0,100)

Step-by-step explanation:

The 2017 World Alma- nac and Book of Facts reported that the U.S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 lev- els. How many personal care aides were there in 2014

Answers

Answer:

There were 118,637 personal care aides in 2014.

Step-by-step explanation:

By 2024, there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels.

This means that the 2014 levels is 100% - 26% = 74% of the 2024 levels.

Number of personal care aides in 2014:

74% of 160,320. So

0.74*160320 = 118,637

There were 118,637 personal care aides in 2014.

I need help ASAP no rocky

Answers

Answer:

no rocky

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I think it's C and I am always right so it is C! You're welcome!

There are 20 chairs that are to be divided into different tables. Which expression shows how many chairs would be in each group if there are t tables



A
14t

B
14 + t

C
t ÷ 14

D
14 ÷ t

Answers

Answer:

D

Step-by-step explanation:

don't know why it says 14, but its the right formula for this question.

dividing 14 into how many tables there are (t)

What is the number based on the list of factors? 1,3,7, __
Please help

Answers

Answer:

21 I think, might be wrong.

Find the missing angle. Round your answer to the nearest degree.
37 FT
22 ft
f
x=
degrees
1

Answers

Answer:

53.52°

Step-by-step explanation:

cos x° = 22/37 = 0.59456

x = 53.52°

X+5y=-23
X-y=1
Solve by elemination

Answers

Answer:

Negative 4

-4

Step-by-step explanation:

x+5= -23

-x+y= -1

6y= -24

-24÷6= -4

Answer:

Step-by-step explanation:

x + 5y = -23

5x - 5y =  5

6x = -18

x = -3

-3 + 5y = -23

5y = -20

y = -4

(-3, -4)

HELP NOWWW!!
What is the quotient when 2 x 2 + 7 x – 15 is divided by 2 x – 3?

Answers

Answer:

yup 12

Step-by-step explanation:

A dairy produces 256 pints of milk each day. How many gallons of milk is this? (1 gallon
= 8 pints)

Answers

Answer:

32 gallons

Step-by-step explanation:

c'mon this is simple, but thx for the points

According to the graph, what has been taking place within India's economy since 2005? During which years does India's development appear to level off?

Answers

Answer:

1. rapid development

2. 2007-2010

Step-by-step explanation:

Answer:

in the picture

Step-by-step explanation:

The graph below represents a library fine, in dollars, for a book returned late after a number of days overdue.

A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant.

Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines show below, which one would be closet to the number of days overdue?

10
14
18
21

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Which graph represents this system? 2x-5v=-5 y=-3x+1​

Answers

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the system of equations

2x - 5y = -5    --- [Equation 1]

y = -3x + 1​      --- [Equation 2]

converting the equation 1 in the slope-intercept form

2x - 5y = -5

5y = 2x+5

divide both sides by 5

y = 2/5x + 1

Thus, the y-intercept  = 1

Now, please check the attached graph below.

The red line represents the equation  2x - 5y = -5

From the graph, it is clear that the red line has the y-intercept y = 1.

Now, considerng the equation 2

y = -3x + 1​  

comparing with the slope-intercept form of line equation

The y-intercept b = 1

Hence, the y-intercept of the line y = -3x + 1​ is y = 1

The green line represents the equation  y = -3x + 1​  

From the graph, it is clear that the green line has the y-intercept y = 1.

Point of Intersection:

It is clear from the graph:

The red line represents the equation  2x - 5y = -5.The green line represents the equation  y = -3x + 1​.

As both lines meet or intersect at the point (0, 1).

Therefore, the point of intersection of both the lines is:

(x, y) = (0, 1)

As we know that the point of intersection of both the lines represents the solution to the system of equations.

Therefore, (0, 1) on the graph represents the solution to the system of equations.

The graph is attached below.

18
8
X
12
What is the value of x?

Answers

Using Pythagorean theorem, the answer should be D

A lion eats 462 pounds of food in a week.If the lion eats the same amount of food each day,how many pounds does a lion eat per day

Answers

Answer:

The lion eats 66 pounds of food per day

Step-by-step explanation:

Raise b to the 7th power, then find the quotient of the result and 8

Answers

Answer:

b^7 / 8.

Step-by-step explanation:

How do I round up 12,853 to the largest place value

Answers

Answer:

12953

Step-by-step explanation:

Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8.

Answers

Answer:

2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)

Step-by-step explanation:

2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).

Not sure if you need the expression solved but here:

[tex]2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8[/tex]

To get from first line to second, use distributive property. To get from second to third line, combine like terms.

The perimeter of a rectangle with the length of (x - 4) and width of

(2x +8) will be (6x + 8).

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The length of rectangle = x - 4

The width of rectangle = 2x + 8

Now,

Since, The length of rectangle = x - 4

The width of rectangle = 2x + 8

We know that;

The perimeter of rectangle = 2 (Length + Width)

⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)

⇒ The perimeter of rectangle = 2 (3x + 4)

⇒ The perimeter of rectangle = (6x + 8)

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Pls answer soon!!!!!!

Answers

Answer: I believe it’s A. The first one.

Explanation: hope this helps! ^^

Given f(x)=14(5−x)2 what is the value of f(11)?

Answers

Answer:

I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2

Step-by-step explanation:

Given f(x) = 14(5−x)², the value of f(11) = 504

The given function is:

f(x) = 14(5 - x)²

To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²

f(11) = 14(5 - 11)²

Simplify the expression

f(11) = 14(-6)²

f(11) = 14(36)

f(11) = 504

Therefore, given f(x) = 14(5−x)², the value of f(11) = 504

Learn more on function here: https://brainly.com/question/10439235

HELLO HELPPP PLEASE ASAPPP

Answers

Yea i thinks it’s 4.2

Gina can write 3 pages per hour. Emily can write 5 pages per hour. If they both write for x number of hours, how many pages will they write altogether? *
x (3 + 5)
x (4 + 4)
3 (x + 5)
5 (3 + x)

Answers

Answer:

3 (x+5)

Step-by-step explanation:

what is the answer of X

Answers

Answer: x = -5

Step-by-step explanation:

-3.4x - 9 = 8

         +9  +9

    -3.4x = 17

-3.4x ÷ -3.4 = x

17 ÷ -3.4 = -5

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