According to the American music industry, the length of a song is normally distributed with a mean of 240 seconds and standard deviation thirty seconds. Suppose a random sample of fifteen songs is selected from the morning program. what is the probability that the length of the song is between 225 and 260 seconds long?​

Answers

Answer 1

Answer:

96.89%

Step-by-step explanation:

Find the standard error:

s = σ/√n

s = 30 / √15

s = 7.75

Find the z-scores:

z = (x − μ) / s

z₁ = (225 − 240) / 7.75

z₁ = -1.94

z₂ = (260 − 240) / 7.75

z₂ = 2.58

Find the probability.

P(-1.94 < Z < 2.58) = P(Z<2.58) − P(Z<-1.94)

P(-1.94 < Z < 2.58) = 0.9951 − 0.0262

P(-1.94 < Z < 2.58) = 0.9689


Related Questions

Identify the type of slope with the description of the line.
Zero Slope
( Choose)
Undefined Slope
[Choose )
Positive Slope
[Choose )
Negative Slope
[Choose)

Answers

Zero slope-Horizontal line

Undefined slope-Vertical slope

Positive slope-Left to right line is going up

Negative slope-Left to right line is going down.

Answer:

Zero slop is; horizontal line

Undefined slope is; vertical line

Positive slop is; left to right going up

Negative slope is; left to right going down

Translate into Algebra.
Jen had D dollars. She bought a video. Now she has R dollars. How much did she pay for the video?

Answers

Answer: $D - $R

Step-by-step explanation:

Given the following :

Amount Jen had initially = $D

Amount had after purchasing video = $R

Amount she paid for the video =?

Amount she paid for video = ( Initial amount had before purchasing video - amount had after purchasing video)

Hence,

Amount paid for video = $D - $R

simplify 2(-36-3i)+ (5+2i) (12-2i)

Answers

Answer:

-8 + 8i

Step-by-step explanation:

Danny just submitted his resumé in a response to a job posting. The job posting stated that the job pays $57K annually.

Answers

4,750 dollars a month

2 times the square root of 25 plus the square root of negative 16

Answers

Answer:

10 + 4 i

fnjeob cbjkocbhv bjwokjnb jnokemnef

Answer:

10+4i

Step-by-step explanation:

2*√25 + √-16.

Given

2*5+4i                                    

Simplify the sqrts.  If you are wondering where I got "i" from, "i" is √-1.  "i" is short for imaginary number because there is no real number that can be a square root of a negative number.  I got the 4 because it is the square root of -16

10+4i

I multiplied the 2 and the 5.  This is the simplest form because you cannot add imaginary and real numbers together.

in which quadrant does the point s(-3, -4) lie?

Answers

Answer:

It's in quadrant 3

Nancy and two friend paid a 15% tip for a restaurant bill of $51. Then
they split the bill evenly how much did each person pay? *

Answers

Answer:

they payed 3.825 each

Step-by-step explanation:

15% of 51 is 7.65 so you divide that by two and get 3.825

Answer:

Answer:

Tip Total: $ 7.65

Tip Each Person: $ 3.83

Total (Bill + Tip): $ 58.65

Total Each Person: $ 29.33

*I hope it helped!!*

Step-by-step explanation:

Solve equation: 3 (x + 4) - 5 (1 - 1) < 5

Answers

Answer:

x<-7/3

Step-by-step explanation:

3x+12<5

3x+12-12<5-12

3x<-7

3x/3<-7/3

x<-7/3

I need help ASAP PLEASE!
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.

Answers

heya....

your answer is:

All rational numbers are not integers. But all integers are rational numbers.

The statement is false.

It may help you...☺☺

Which expression is equivalent to 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y)?

Answers

Answer:

2.0x-8.3y+2.3

Step-by-step explanation:

Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;

open the parenthesis

3.7 x + 0.5-6y+0.8-1.7x+1-2.3y

collect like terms

= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1

= 2.0x-8.3y+1.3+1

= 2.0x-8.3y+2.3

Hence the equivalent expression is 2.0x-8.3y+2.3

a music CD costs $18. What is the total cost of the CD if there is a 6.25%sales tax?

Answers

Answer:

$19.13

Step-by-step explanation:

18 + 6.25 is 19.125 and you would round that to 19.13 as your total

Find the perimeter of the figure below, in feet.
5.1 ft
14.8 ft
14.8 ft
14.8 ft
19.9 ft
10 ft
34.7 ft
24.8 ft
14.8 ft
5.1 ft
(Note: diagram is NOT to scale)

Answers

Answer:

158.8ft

Step-by-step explanation:

I need someone to explain functions and functional symmetry to me. This is very important, so if you do not have a legit answer, you will get reported.

Answers

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

Answer:

a shape that has reflective symmetry either x or y axis of origin.

in other words...  it's a mirror image.

A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.

Answers

Answer:

40 did it on edge

Step-by-step explanation:

The unit rate of calories per ounce will be 40 calories/ ounce

What is proportion ?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :

4-ounce = 160

1- ounce = 160/4

=40

Therefore, the unit rate of calories per ounce = 40 calories/ ounce.

Read more about ratio at:

brainly.com/question/17869111

#SPJ3

Help me please it says that I need help !!

Answers

Answer:

  A, D

Step-by-step explanation:

The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...

  (independent variable, dependent variable) = (cans, balls)

Then the point (2, 6) corresponds to (2 cans, 6 balls).

The applicable descriptive statements are ...

  A.  2 cans contain 6 tennis balls

  D.  There are 6 tennis balls in 2 cans

Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 30), (3, 30), (4, 30), and (4, 30) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (0, 30), (1, 60), (2, 90), (3, 120), and (4, 150) are plotted. On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.

Answers

Answer:

On a coordinate plane, the x-axis is labeled Lessons and the y-axis is labeled Total Cost (dollars). Points (1, 30), (2, 60), (3, 90), (4, 120), and (5, 150) are plotted.

Step-by-step explanation:

Answer

Im going to keep this simple the answer is c

Step-by-step explanation:

Brainiest to the best answer

Answers

X= 5/8 I did it on my calculator

Which property of addition is shown? f + 0 = f

Answers

Answer: Additive Identity Property

Step-by-step explanation:

Additive Identity Property: The sum of any number and zero is the original number. For example 5 + 0 = 5.

write an equation of the line that passes through each pair of points (0,1),(5,3)

Answers

i need help with that too

What is 4x+3>15 inequalities

Answers

Answer: x>3

Step-by-step explanation: 4x+3-3>15-3

    4x>12

4x/4>12/4

=x>3

-4/3(12k +27) = -57 - 9k

Answers

Answer:

k=3

Step-by-step explanation:

What is Equivalent?
Is it possible for two things to look different but be equal
to one another? Think about $10... is a $10 bill the only
way you can have $10? Give an example of money that
is equivalent to a $10 bill.

Answers

Answer:

Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.

Step-by-step explanation:

$10 = 2 * x

$10/2 = $5

x = $5

For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

The concentration of Marcia's solution is:

1.0 kg / 3.0 L = 0.33 kg/L

The concentration of Bobby's solution is:

(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L

Therefore, Marcia's solution is more concentrated.

Mary and her band are performing a concert. They need to make $1,963.50 to cover their travel, lodging, and meal costs. If they charge $8.50 for each ticket, how many tickets do they need to sell to cover their costs?

Answers

1963,50/8,50= 231
they need to sell 231 tickets

Answer:

231

Step-by-step explanation:

I got the answer right

Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex]\sqrt{146} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(0,2)and (-5,-9)

The distance is

[tex]d = \sqrt{( {0 + 5})^{2} + ({2 + 9})^{2} } \\ = \sqrt{ {5}^{2} + {11}^{2} } \\ = \sqrt{25 + 121} \\ = \sqrt{146} [/tex]

We have the final answer as

[tex] \sqrt{146} \: \: \: units[/tex]

Hope this helps you

Answer:

ok. i have solved. u can have a look .

combining like terms with negative coefficients and distribution
-4(2x-6)-5(3x+8) ?

Answers

Answer:

-23x-16

Step-by-step explanation:

-4(2x-6)-5(3x+8)

=-8x+24-15x-40

=-23x-16

please answer the questions!!!please!!!!!

Answers

Answer:

I think #5 is c.

Step-by-step explanation:

because it says 50% without decimal and it's doesn't equal to 1/2%

Answer:

Q6 b. 70

Step-by-step explanation:

Change 20% to decimal so it will be 20/100=0.2

350/0.2=70

Need some help pleaseeee

Answers

Answer:

A:no B:no C:yes D:yes

Step-by-step explanation:

a.
7
L 1. Andrew's hobby is mountaineering. He
started his hike at 250 feet above sea level.
When he reached the peak of the mountain
he was at 1700 feet above sea level. How
many feet did Jake hike up the mountain?

Answers

Answer:1700

Step-by-step explanation:

In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.

100 points
FOR EACH SCENARIO, CHECK THE BOX FOR THE APPROPRIATE UNIT
RATE FOR PRICE PER 1 POUND *
$4
$10
$6
$5
$2
$50 FOR
5LBS
o
O
O
$48 FOR
8LBS
О.
O о o
$44 FOR
11LBS
O.
O
$26 FOR
13LBS
O
O
$100 FOR
20LBS
O
O
O
O

Answers

Answer:

there is a button on the side of your keyboard that turns off all caps

ACTUAL ANSWER: 1 dollar a pound

Step-by-step explanation:

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