The length of country & western songs has mean 151 seconds and standard deviation 30 seconds. Determine the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds.

Answers

Answer 1

Answer:

48.514%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x -μ)/σ,

where x is the raw score = 149.75

μ is the sample mean = population mean = 151 seconds

σ is the sample standard deviation

= Population standard deviation/√n

Where n = 20 songs

Population standard deviation = 30

Hence, sample standard deviation

30/√20

= 6.7082039325

z = (x -μ)/σ

z = 149.75 - 150/6.7082039325

z = -0.03727

Using the z score table to find the probability, we have :

P(x<149.75) = 0.48514

In percent = 0.48514 × 100

= 48.514%

Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%


Related Questions

96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?

Answers

14 mini buses but there will be 1 seat open

Helpppp please!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

tan&= 2/5(p/b)

here,

p=2,b=5

cot&=b/p

=5/2

Which of the following symbols could correctly finish the statement. Select all that apply. 0___-8 = ≠ > < ≥ ≤

Answers

Answer:

>

Step-by-step explanation:

Even though its 0 its still greater than any negative number.

Answer:

Step-by-step explanation:

The volume of a cube is 1000 blocks. What is the length of one side of the cube?

Answers

Answer:

A cube has 4 sides

1000÷4

=250

The Anderson family wants to look at their cash flow over a year. They decide to write out their cash flow for 4 months as given in the spreadsheet below. In which of the months did they have the greatest net cash flow? A 5-column spreadsheet showing cash inflows and outflows over a year. Total cash inflow: January, 2,760 dollars; April, 3,060 dollars; August, 2,760 dollars; December, 2,900 dollars. Total cash outflow: January, 2,435 dollars; April, 2,675 dollars; August, 2,670 dollars; December, 3,000 dollars. a. January b. April c. August d. December

Answers

Answer:

It is B. April

Step-by-step explanation:

The Anderson family greatest cash flow for the year is April

How to find greatest cash flow

Total cash inflow:

January, 2,760 dollarsApril, 3,060 dollarsAugust, 2,760 dollarsDecember, 2,900 dollars

Total cash outflow:

January, 2,435 dollarsApril, 2,675 dollarsAugust, 2,670 dollarsDecember, 3,000 dollars

Cash flow:

January = 2,760 dollars - 2,435 dollars

= $325

April = 3,060 dollars - 2,675 dollars

= $385

August = 2,760 dollars - 2,670 dollars

= $90

December = 2,900 dollars - 3,000 dollars

= $ -100

Learn more about cash cash flow:

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Solve the following formula for m v2=3Pmn

Answers

Answer:

m= 0 /(−3np+v2 )

Step-by-step explanation:

An object that weighs exactly 1
pound is placed on a digital scale that measures weight in ounces.
If the scale is accurate and precise, what weight might be shown on the scale?

Answers

16 ounces= 1 pound.

Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

Answers

Answer:

1950

Step-by-step explanation:

because 1950 column has the most highest number which is 11

Answer:

Between 1945 and 1950 ( from 5 to 11 ),

Step-by-step explanation:

Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU

Answers

Answer:

Yes, no verticle line passes through two graphed points

Step-by-step explanation:

A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

A. (3,-4)

Step-by-step explanation:

Hi there!

When we reflect a point (x,y) across the y-axis, it will become the point (-x,y).

Right now we can see that point G has the coordinates (-3,-4). Therefore after reflecting about the y-axis, it would become (3,-4).

I hope this helps!

The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55

Answers

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

To know more about equation here:

https://brainly.com/question/10413253

#SPJ2

(a) An angle measures 40°. What is the measure of its complement?
(b) An angle measures 63°. What is the measure of its supplement?

Answers

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

(a)

If the sum of the measures of two angles is 90° they are known as complementary angles.

Let the value of unknown angle be x.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

____________________

(b)

If the sum of the measures of two angles is 180° they are known as supplementary angles.

Let the value of unknown angle be x.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

A limo is rented at a fixed cost for an evening. It is rented by 12 people, the average cost for each person will be $2 less than if it is rented by 10 people. How much does the limo cost for the evening?

Answers

Answer:

$120

Step-by-step explanation:

According to the information in the statement and taking into account that the price for renting the limo is fixed, you can say that the cost of renting the limo for 12 people is equal to the cost of renting it for ten. Then, the cost for 12 people is 12 for the cost per person which is equal to 10 for the cost per person and you can express it as follow:

x is the cost per person when the limo is rented by 10 people.

12*(x-2)=10*x

You can solve for x:

12x-24=10x

12x-10x=24

2x=24

x=24/2

x=12

Now that you have the cost per person when the limo is rented by 10 people, you can multiply this value for 10 to find the cost of renting the limo for the evening:

12*10=120

The answer is that the limo cost $120 for the evening.

Help ASAP please show work I need this done ASAP

Answers

Answer:

Step-by-step explanation:

Graph shows the distance traveled by a biker as a function of time.

Velocity of the biker changes in the different intervals.

1). In the interval 0 < t < 2, biker is moving with a constant velocity.

   Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

             = [tex]\frac{0-4}{0-2}[/tex]

             = 2 km per hour

2). In the interval 2 < t < 5,

   Velocity = [tex]\frac{4-4}{4-2}[/tex]

                  = 0

   Therefore, biker stopped between 2 to 5 hours.

3). In the interval 5 < t < 6,

   Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]

                  = [tex]\frac{4-3}{6-5}[/tex]

                  = 1 km per hour

4). In the interval 6 < t < 7,

   Velocity = [tex]\frac{6-3}{7-6}[/tex]

                 = 3 km per hour

Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?

Answers

Answer:

1.9 pounds

Step-by-step explanation:

To solve this divide the amount of sugar by the number of dollars:

19 pounds / 10 dollars = 1.9 pounds per dollar

Per 10dollar she brought=19pounds

Per dollar

[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]

Write in decimals

[tex]\\ \sf\longmapsto 1.9pounds[/tex]

b) Factor the expression completely. (1 point)
20b - 16

Answers

Answer:

20b - 16

=> 4 (5b - 4)

or

20b - 16

=> 20b/16 - 16/16

=> 1.25b - 1

Answer:

4(5b-4)

Step-by-step explanation:

To factor this you need to find a number, that 20 and 16 are divisible by. You can divide 4 from both of these.

It becomes 4(5b-4)

This event is independent, true or false?



You roll a fair six-sided die twice. The first roll show a three and the second roll shows a four.

True
False

Answers

Answer:

This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

Answer:I'm pretty sure it's independent

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?

Answers

Answer:

She needs to jog 7 laps to make sure she covers at least 7.5 miles

Step-by-step explanation:

Kelly's goal is to complete 7 1/2 miles which in decimal form is: 7.5 miles.

Each lap around the park is 1 1/5 miles, which in decimal form is written as: 1.2 miles

Then, to find how many laps she needs to complete we do the quotient:

7.5/1.2 = 6.25

which means that she needs a quarter of a lap more than 6 laps, so she needs to go for 7 laps to meet the goal

A students wants to report on the number of movies her friends watch each week. The collected date are below:

0, 0, 1, 1, 2, 2, 2, 14

which measure of center is most appropriate for this situation and what's its value?

A.) Median; 1.5
B.) Median; 3
C.) Mean; 1.5
D.) Mean; 3​

Answers

Answer:

A.) median; 1.5

Step-by-step explanation:

Hello!

The median is the number that is in the middle when the numbers are listed from least to greatest

0, 0, 1, 1, 2, 2, 2, 14

We can take one from both sides till there are one or two numbers left

0, 1, 1, 2, 2, 2

1, 1, 2, 2

1, 2

If there are two numbers left we add them then divide by 2 to get the median

1 + 2 = 3

3 / 2 = 1.5

The answer is A.) median; 1.5

Hope this helps!

**Yoxelt buys 4 1/2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answers

Answer:

  1 1/8

Step-by-step explanation:

1/4 of the 4 1/2 gallons were Pepsi, so the amount is ...

  (1/4)(9/2) = (1·9)/(4·2) = 9/8 = 1 1/8

Yoxelt bought 1 1/8 gallons of Pepsi.

como resuelvo esto y=1+2(4/5)

Answers

Answer:

Es 2.6

Step-by-step explanation:

Answer: translate

Step-by-step explanation:

What are the domain and range of the real-valued function f(x)=2/(x+5)?

Answers

Answer:

Domain is all real numbers, x ≠ -5

Range is all real numbers, y ≠ 0

Step-by-step explanation:

Domain: all real numbers except x=-5
(-infinity, -5)U(-5, infinity)

Range: all real numbers except y=0
(-infinity, 0)U(0, infinity)

Find the value of p.

Answers

Answer:

[tex]\huge\boxed{p = 3}[/tex]

Step-by-step explanation:

7p + 7 = 37 - 3p (They both are equal)

7p + 3p = 37-7

10p = 30

Dividing both sides by 10

p = 3

Answer:

p=3

Step-by-step explanation:

7p+7=37-3p

7p[+3p]+7=37-3p[+3p]

10p+7=37

10p+7[-7]=37[-7]

10p=30

10p/10=30/10

p=3

I hope this helps!

Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Answers

Answer:

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]

Step-by-step explanation:

A geometric recursive formula has the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7

1 - 3/10 Write the answer as a fraction​

Answers

Answer:

7/10

Step-by-step explanation:

Get a common denominator

1 - 3/10

10/10 - 3/10

7/10

How do I find MQR and what does it equal?

Answers

Answer:

B

Step-by-step explanation:

The inscribed angle Q is half the measure of its intercepted arc , so

arc RS = 2 × 75° = 150°

The sum of the 3 arcs = 360° , then

arc QR = 360° - (150 + 133)° = 360° - 283° = 77° → B

Mr. Lee is 32 years older than his son. Five years later, Mr. Lee’s age will be 5 times that of his son. How old is Mr. Lee now?

Answers

Answer: mr lee is 37 year .

Step-by-step explanation:32+5=37

Answer:

Mr. lee is 35 yrs old right now. his son 3

Step-by-step explanation:

after 5 yrs, his son will be 8 and lee 40, 8×5=40

WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.

Answers

Answer:

Yes, because the P(A)P(B) = P(A and B)

Step-by-step explanation:

Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;

P(A and) = P(A)P(B)

Given: P(A) = watching a movie = 62% = 0.62

P(B) = going out to dinner = 46% = 0.46

The probability of watching a movie and going out to dinner will be

P(A and B)

P(A and B) = 0.62×0.46

P(A and B) = 0.2852

P(A and B) = 28.52%

Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.

x - (-20) = 5 _________________

Answers

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

A school survey of 90 sixth graders showed that 25% of them play basketball and about 17% play soccer. What are the chances that a sixth grader plays basketball AND soccer?

Answers

Answer:

0.0425

Step-by-step explanation:

probability of  basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425

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