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The probability that Hope performs any of the activities each day of the week can be expressed in the tree diagram.

A tree diagram is a term for a graphical tool that shows the possible outcomes of an experiment. To build a tree diagram, start by putting a branch for each of the possibilities.

The tree diagram of Hope's activities must include all the days of the week and on each day there must be three branches for each of the possible activities that she is going to do (play tennis, swim or play soccer).

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Answer: 2556

Step-by-step explanation:

Let the amount of the deposit be x dollars

The amount of simple interest earned can be represented by the formula PRT/100

Where,

P is the amount of deposit

R is the annual rate of interest

T is the time in years

Therefore,

P=x

R=6

T=150/360 = 15/36 = 5/12

So,

Simple interest = x(6)(5)/1200

63.90 = 30x/1200

63.90= x/40

x= 63.90×40

x=2556

Therefore, amount deposited = 2556

Answer:

C = 3

Step-by-step explanation:

By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

V=LWH

we have

L=3/4 ft

W=5/1 ft

H=1/2

substitute

V=(3/4)(5/1)(1/2)= 3x5x1=    15

                           ₋₋₋₋₋₋₋₋    ₋₋₋₋ ft³

                           4x1x2=    8

therefore

He multiplied the denominators incorrectly

Answer:

the answer to a is 70

the answer to b is 55

the answer to c is 15

Using it's formula, it is found that the mean of the discrete random variable is given by:

B. 30.47.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence, considering the table, the mean of the discrete distribution is:

E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.

Hence option B is correct.

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Answer:

see the attachment photo!

Answer: 192?

Step-by-step explanation:

i just think that that is the answer. you get the surface area by multiplying all of them just how you get area

Answer:

Step-by-step explanation:

Givens

sin(theta) = - 8/17

cos(theta)= 15/17

Tan(theta) = ?

Comment

Without using the Pythagorean Theorem, you could simply use tan(theta) = Sin(theta) / cos(theta)

Tan(theta) = sin(theta) / cos(theta)

Tan(theta) =[tex]\dfrac{\dfrac{-8}{17} }{\dfrac{15}{17} }[/tex]

Now turn  the bottom fraction upside down and multiply.

Tan(theta) = [tex]\dfrac{-8}{17}*\dfrac{17}{15} = \dfrac{-8}{15}[/tex]

Answer Tan(theta) = -8/15

Answer:

33 blocks

Step-by-step explanation:

Given the length , breath and height for small block  6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.

volume is given by  

             V = Length x breath x height

Volume of small block = 6 x 4 x 2 = 48 cm^3

Volume of big block = 200 x 4 x 2 = 1600 cm^

No of blocks = Volume of big block/ volume of small block

                     = 1600/48

                     = 33.33

Therefore no of blocks formed = 33

Answer: The answer is 40 there are 40 favorable outcomes of people who made a purchase.

Step-by-step explanation:

Answer:

the volume is about 84.8 in³

Step-by-step explanation:

Let b be the base of the cone

and h be the height of the cone

Formula :

Consider the cone with base b and height h

The volume = (1/3)×b×h

………………………………………………………

In our example:

b = 3.14×3^2 = 28.26

h = 9

Therefore

The volume = (1÷3)×(28.26)×9 = 84.78

Answer:

-31/8

Please mark me as brainliest

Answer: [tex]a+b+\sqrt{a^{2}+b^{2}}[/tex]

Step-by-step explanation:

The distance from (0,b) to (0,0) is b.

The distance from (0,a) to (0,0) is a.

Using the Pythagorean theorem, the distance from (0,b) to (a,0) is [tex]\sqrt{a^{2}+b^{2}}[/tex]

So, the perimeter is [tex]\boxed{a+b+\sqrt{a^{2}+b^{2}}}[/tex]

The solution to x^2 - 4x = 5 is x = -1 or 5

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

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Answer:

A. true

Step-by-step explanation:

"f(x) = ... " is the classic way of writing a function.

Answer:

4/7=12/21

18/20=9/10

6/5=30/25

81/90=9/10

Step-by-step explanation:

12 / 21  will be equal to 4/7 and is denoted in the simplest form.

A fraction that possesses the same value as another fraction regardless of how it's denominators and numeric components could be different is said to be equivalent.

12 / 21 can be simplified with the help of 3. This will result in 4/7.

18/20 can be simplified with the help of 2. This will result in a 9/10.

30/25 can be simplified with the help of 5. This will result in 6/5.

81/90 can be simplified with the help of 9. This will result in a 9/10.

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Answer:

2

Step-by-step explanation:

4 halves=2

1 half=0.5

2 halves=1

3 halves=1.5

4 halves=2

Step-by-step explanation:

I hope this helps!!!!!

Answer:

25 : 1

Step-by-step explanation:

125 : 5. divide by 5 we get

25 : 1

Answer:

Transitive

If x = 2y and 2y = 8, then x = 4.

Answer:

13,12,25

Step-by-step explanation:

Square root of 169 is 13.

Square root of 144 is 12

Square root of 625 is 25.

Answer:

[tex]\sqrt{169} = 13\\\\\sqrt{144} = 12\\\\\sqrt{625} = 25[/tex]

Step-by-step explanation:

[tex]\sqrt{169} = \left(13^2 \right)^{\tfrac 12} = 13^{\tfrac 22} = 13^1 = 13\\\\\sqrt{144} = \left( 12^2\right)^{\tfrac 12} = 12^{\tfrac 22} = 12^1 = 12\\\\\sqrt{625}= \left(25^2 \right)^{\tfrac 12} = 25^{\tfrac 22} = 25^1 = 25[/tex]

By finding the minimum of the given function, we conclude that the lowest average temperature that year is 57°F.

We know that the average temperature is given by the equation:

f(x)=31cos(0.0055πx)+88

And it is in Fahrenheit degrees.

To get the lowest average temperature, we just need to find the minimum of the above function.

Remember that the minimum of the cosine function is:

cos(x) = -1

Then the lowest value of the above function is:

f(x₀) = 31*(-1) + 88 = 57

From this, we conclude that the lowest average temperature that year is 57°F, so the correct option is A.

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Answer:

9: 50

10: 90

11: 60

12: 25 and 115

13: 130 and 40

Thats all i can do, im sorry but i hope this helps ^^

Answer:

The Answer Above The Image

Answer:

Step-by-step explanation:

(x² − 8x + 20) ÷ (x − 4)

x - x²/4 - 8 - 8x/4 + 20/x - 20/5

x - x²/4 - 8 - 2x + 20/x - 4

-x - x²/4 + 20/x -12

...don't know, keep going