ME
9. The Audio Outlet purchased 60 cassette recorders, gave away three in a
contest, and sold the rest at twice their purchase price. If the store's total
profit was $1188, how much did the store sell each recorder for?

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

\(p = \frac{31}{365} = 0.0849\)

Group of 20 friends:

This means that \(n = 20\)

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773\)

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer:

Surface area = 21 in.²

Step-by-step explanation:

Surface area of the pyramid = sum of all areas of the faces or parts of the net = 4(area of triangle) + area of square base

✔️Area of the four triangles:

A = 4(½*b*h)

Where,

b = 3 in.

h = 2 in.

A = 4(½*3*2)

A = 2*3*2

A = 12 in.²

✔️Area of the square base = s²

s = 3 in.

Area = 3² = 9 in.²

✅Surface area of the pyramid = 12 + 9 = 21 in.²

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer:

Did you just assume my gender?

Mark me brainliest please :)

Step-by-step explanation:

The resultant of the movement of the runner is 290.087 yards

The cosine rule states that if a , b ,c are sides of a triangle and A,B ,C are the opposite angles of the sides, then, c² = a² + b² − 2ab cos(C).

The law of cosines is useful for solving a triangle when all three sides or two sides and their included angle are given.

c² = 250² + 110² -2( 110) (250) cos 100

c² = 62500 + 12100 - 55000(-0.1738)

c² = 74600 + 9570

c² = 84170

c = √ 84170

c = 290.87 yards

Therefore the resultant of the runner pathway is 290.87 yards

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The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees

Two angles in standard position are called coterminal angles if they have the same terminal side.

When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.

Now,

We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240

To do this, we will add 360 degrees to the given angle

That is,

-240° + 360° = 120°

Hence, the angle is 120 degrees.

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Answer:

Step-by-step explanation:

The Area of a triangle is expressed as:

A = 1/2 bh

b is the base of the triangle

h is the height of the triangle

Given

dh/dt = 3cm/min

dA/dt = 11cm²/min

height h = 5cm

Area = 10cm²

Get the base first

10 = 1/2b(5)

20 = 5b

b = 20/5

b = 4cm

Differentiating the area with respect to time

A(b, h) = 1/2 bh

According to product rule

dA/dt = 1/2{b dh/dt + h db/dt}

Substitute the given parameters and get db/dt

11 = 1/2{4(3)+5db/dt}

11 = 1/2{12+5 db/dt}

11 = 6 + 5/2 db/dt

11-6 = 5/2 db/dt

5 = 5/2 db/dt

1 = 1/2 db/dt

cross multiply

2 = db/dt

db/dt = 2cm/min

Hence the rate at which the base of the triangle is changing id 2cm/min

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:hope this helps

Step-by-step explanation:

Answer:

it's (E)

Step-by-step explanation:

ITS equivalent because the absult value of [37] is 37

Answer:

N'O' = 25

Step-by-step explanation:

N'O' = 5 × NO = 5 × 5 = 25

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Step-by-step explanation:

i think c is your answer

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Answer:

Its

Step-by-step explanation:

slope: 2.5

y intercept: 3

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

m5 = 140

Step-by-step explanation:

m1 = m2

m1 = 40

m5 + m1 = 180

m5 + 40 = 180

m5 = 140

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

$20

Explanation:

The measures of the canvas truck cover are 15' x 24' which is equivalent to a length of 15 feet and a width of 24 feet.

First, we need to convert 15 feet and 24 feet to yards. Since 1 yard = 3 feet, we get:

Then, the area of the canvas truck cover is equal to

Area = Length x Width

Area = 5 yards x 8 yards

Area = 40 square yards

Since each square yard has a cost of $0.50, the total cost is

$0.50 x 40 square yards = $20

Because

Therefore, the answer is

$20

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

The correlation coefficient for the data is given as follows:

r = 0.53.

Hence there is an association between the variables that is positive and not strong.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.

From the table given at the end of the answer, the points are given as follows:

(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).

Inserting these points into a calculator, the equation is given as follows:

r = 0.53.

Meaning that the relationship between the variables is positive and not strong.

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Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

Answer:

desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo

Answer:

2.72 \(cm^2\)

Step-by-step explanation:

You first find the area of the whole rectangle.

Then you have to find the area of the circle. The area of a circle is \(2\pi r\).

The radius is 1 so it will be 2\(\pi\).

\(\pi\) equals 3.14 so you have to do 3.14*2 that equals 6.28.

Finally subtract 9-6.28=2.72

Answer:

35

Step-by-step explanation:

c = 5/9 ( 95-32)

c= 5/9 (63)

c=315/9

c= 35 degree celcius

Answer:

2πr²

2π•2.5²

2π•6.25

2•3.14•6.25

39.25