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

Pls help I don’t understand the question

Answers

Answer:It suggests that readers have fun exploring poetry

HOPE IT HELPS:)

Solve for s.
8-45 5+13

Answers

where is the s in here though

1 over 14 to the power of negative 1

Answers

Answer:

14

Step-by-step explanation:

Answer:

1/14^-1 is the same as 14/1^1

thus the answer is 14

the rule used states that a over b power negative 1 is equivalent to b over a power one

a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.

Answers

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

The diagram below shows
two similar
similar rectangles.
Find the perimeter of the
combined figure.
5 cm
13 cm​

Answers

Answer:

Perimeter of 1st rectangle=20cm

Perimeter of 2nd rectangle=52cm

Which of the expressions is rational? 25 + 2 7 − 2 64 + 45

Answers

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.

Answers

It would be D final answer there’s 2 machines for A so it’s easily over 1800+ candy therefore we can conclude that machine A is faster

NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100

Answers

Step-by-step explanation:

scan it u could have the answer in a flash

I need help with this one

Answers

Answer:

look it up

Step-by-step explanation:

-2(-3)^3
-2(-3^3)
2 x 27
54
y=54

But I got undefined for the last one

x^4+x^2-20 needs to be factored

Answers

Answer:

x^4+x^2-20 factored

b=2

Step-by-step explanation:

(x+2)

(x-2)

(x^2+5)

If you give me the right answer i will give you the brainlyest!!!!!!

Answers

Answer:

the graphed points are in the picture attached

They intersect at (-8,1)

It passes through the x-axis at (-10,0)

It passes through the y-axis at (0,5)

Step-by-step explanation:

:)

Answer:

its a blue line from one ten to anothor

Solve for x: 2x + 7 = -9 - 6x
(PLEASE HELP THIS IS FOR ALGEBRA AND ITS DUE AT IN 9 MINUETS)

Answers

Answer:

x=-2

Step-by-step explanation:

2x+7=-9-6x

add 6x on both sides

8x+7=-9

subtract 7 on both sides

8x=-16

x=-2

Answer:

x=-2

Step-by-step explanation:

Let me know if I need to explain but here is the answer cause i know you are in a rush.

-x-2y-4z=-6
X-5y-2z=-2
2x-3y+2z=2

Answers

Answer:

[tex]\sqrt{2} or (1/2)[/tex]

Step-by-step explanation:

1/3(1 - 1/4) to the second power?

Answers

Answer:

0.1875

Step-by-step explanation:

82161616-61 is the egagbwba


Can someone help me with this please

Answers

Answer:

1

Step-by-step explanation:

[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]

can anyone help? i’ll mark brainliest

Answers

|4x + 4| = 15

First, let's get rid of the absolute value signs to get the first solution.

4x + 4 = 15

Subtract 4 from both sides

4x = 11

Divide each side by 4

x = 11/4 or 2.75

Now, let's get the solution by changing 15 to -15.

4x + 4 = -15

Subtract 4 from both sides

4x = -19

Divide both sides by 4

x = -19/4 or -4.75

Which expression is equivalent to pq ?

P + q

P - q

P/q

qp

Answers

Answer: qp



They are the same just change positions

Answer:

qp

Step-by-step explanation:

pq = p * q

In multiplication like this, the order doesn't matter:

5 * 3 = 15

3 * 5 = 15

2 * 9 = 18

9 * 2 = 18

Thus,

pq = p * q = q * p = qp

Answer: qp

Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)

Answers

Answer:

17

Step-by-step explanation:

Simplify 6⁹ ÷ 6³ So I Need Alot OF help in online schol my teacher isnt really reactive with me too help

Answers

Answer:

[tex]6^6[/tex] (or 46656)

Step-by-step explanation:

[tex]6^9\div6^3=\frac{6^9}{6^3} =6^{9-3}=6^6[/tex] (or 46656)

Steps to solve:

6^9 / 6^3

~Apply rule

6^9-3

~Simplify

6^6

Best of Luck!

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.

Answers

I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.

5 -x -x = -1 what is x ?

Answers

Answer:

x=3

Step-by-step explanation:

[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]

hope it helped you:)

Answer:

3

Step-by-step explanation:

5-2x=-1

-5__-5

____-6

-2

3

1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK

Answers

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

What is the value of n in the proportion below?
4
12
ОООО

Answers

The value of N is 16 which means n=16.

Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me

Answers

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?

Answers

Answer:

7.2 gallons

Step-by-step explanation:

2.25 x 3.2 = 7.2

Answer:

7.2

Step-by-step explanation: :>

combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?

Answers

-3x-3y-15xy .............

16
A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at
least $20. Solve an inequality that represents how much more you must spend to use the $5
coupon.
(1 Point)

Answers

Answer: The answer is m= ≥4.50

The required inequality is m ≥ 4.50

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.

Cost of the shirt = $15.50

you can use a $5 discount coupon if you spend at least $20

The question requires you to find how much more you need to spend to be able to use the $5 discount coupon

The shirt already cost $15.50

Total amount you need to spend = $20

Let the amount remaining = m

m ≥ $20 - 15.50

m ≥ $4.50

Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.

For more references on inequality, click;

https://brainly.com/question/11612965

#SPJ2

Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent

Answers

200 represents how much money was Initially put into the account

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

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