I’m really stuck on this question

The probability helps us to know the chances of an event occurring. Pooja's expected value of playing this game is 0.3077.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

There are 12 face cards, therefore, the probability of the getting a face card can be written as,

[tex]\text{Probability of face card }= \dfrac{12}{52} = 0.2308[/tex]

Also, the winning prize for drawing a face card is $6. Therefore, the expected value will be,

[tex]\text{Expected Value(Face)} = \$6 \times 0.2308= $1.3846[/tex]

There are 4 ace cards, therefore, the probability of the getting an ace card can be written as,

[tex]\text{Probability of ace card }= \dfrac{4}{52} = \dfrac{1}{13} = 0.077[/tex]

Also, the winning prize for drawing an ace card is $4. Therefore, the expected value will be,

[tex]\text{Expected Value(Ace)} = \$4 \times 0.077 = $0.3077[/tex]

There are 36 normal cards, therefore, the probability of the getting a normal card can be written as,

[tex]\text{Probability of normal card }= \dfrac{36}{52} = 0.6923[/tex]

Also, the losing prize for drawing a normal card is -$2. Therefore, the expected value will be,

[tex]\text{Expected Value(Normal)} = (-\$2) \times 0.6923 = -$1.3846[/tex]

Thus, Pooja's expected value of playing this game can be written as,

[tex]\rm Expected\ Value = 1.3846 + 0.3077-1.3846 = 0.3077[/tex]

Hence, Pooja's expected value of playing this game is 0.3077.

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Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

Using a system of equations, the expression or the number of touchdowns he scored in his second year is: 2(t - 1)

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In his first year, he scored t touchdowns. In the second, the amount was two less than twice the number of touchdowns he scored in his rookie year, hence the expression is:

2t - 2 = 2(t - 1)

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Answer:

To find out how much area he will paint, you will find the area of all 6 faces.

Each face is in the shape of a rectangle, so use A = lw as your formula.

Front/Back:  80 x 36 = 2880 square inches

                   2880 square inches x 2 = 5760 square inches

Right/Left Sides:  80 x 2 = 160 square inches

                          160 square inches x 2 = 320 square inches

Top/Bottom:   36 x 2 = 72 square inches

                    72 square inches x 2 = 144 square inches

5760 + 320 + 144 = 6224 square inches.

Cody will paint 6224 square inches.

Hope this helps!

Answer:

A

Step-by-step explanation:

the graph is mostly going in an upward direction therefore both x and y are increasing.

I think this might helpful

Answer:

I'm pretty sure it's both, but I can see this is a summative exam/test so I'm really sorry if it's wrong.

Answer:

The volume is 560

Answer:

the volume of the right rectangular prism is 263.52 cubic centimeters hope it helps

Answer:

2) 4+36x

4) 18m+20

6) -8b-32

8) -6x-24

10) 24p-28

12) 5x+45

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

Answer:

$1952.62

Step-by-step explanation:

1,800(1+.0275)^3

= 1952.62

Answer:

so it is 12 45

Step-by-step explanation:

Answer:

its actually 1 4 5 6

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

We will use the point slope formula: [tex]y=mx+b[/tex]

We will start by finding the slope([tex]m[/tex]).
The formula for slope is

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

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]

That's our slope.

Next we need to find the y-intercept([tex]b[/tex]). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

[tex]y=-\frac{1}{4}x+2[/tex]

Answer:

x=48 degrees

Step-by-step explanation:

since two sides are the same, the angles of those sides are the same, so you add 66 twice and subtract from 180.

Answer: 125 degrees

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Volume of a pyramid = 1/3 base area * height

                                   = 1/3 (8 * 10)(12)

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

[tex]\frac{x}{sin46}[/tex] = [tex]\frac{20}{sin94}[/tex] ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = [tex]\frac{20sin46}{sin94}[/tex] ≈ 14.4 cm ( to the nearest tenth )

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

[tex]\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}[/tex]

Given angles are:

Definition of Euclidean Triangle:

Find another angle:

So another angle is 94°.

To find:

Determine:

Therefore:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}[/tex]

Multiply both sides by 20x:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}[/tex]

Divide both sides by [tex]\displaystyle \large{\sin 94^{\circ}}[/tex]:

[tex]\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}[/tex]

Evaluate the expression, hence:

[tex]\displaystyle \large{x = 14.42...}[/tex]

Round to nearest whole number:

[tex]\displaystyle \large{x = 14}[/tex]

Therefore, the value of x is 14 cm.

Answer:

3x km

Step-by-step explanation:

Answer:

Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.

...

Polynomials: YES or NO

3x½ NO - exponent is not a whole number

2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.

Step-by-step explanation:

The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a

We want to simplify the expression;

[(4a + 4)/2a] * [a²/(a + 1)]

This expression can be further reduced to;

[(4a + 4)/2] * [a/(a + 1)]

Factorizing the numerator to get;

[(4(a + 1)/2] * [a/(a + 1)]

(a + 1) will cancel out to get;

2a

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Answer:

Y+3=-6(x+9)

Step-by-step explanation:

Got it right on usa test prep

Answer:

768 bugs

Step-by-step explanation:

You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.

f(x)=6*2^(x/5)

Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.

By plugging in 35, you get 6*2^7, which is 768.

Answer:

1

Step-by-step explanation:

6 times (-1)^2 is just 6 so 6-5=1

Answer:

1st blank or 2nd

Step-by-step explanation:

Answer:

y=1/3x-11

Step-by-step explanation:

Perpendicular to y=-3x

Get the negative reciprocal to find your new slope

1/3x is our new slope

y=mx+b

Plug coordinates in:

-2=-3(-3)+b

-2=9+b

b=-11

If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Quarters are worth .25 of a dollar

10 x .25 = 2.5

Dimes are worth .10 of a dollar

17 x .10 = 1.7

Nickels are worth .05 of a dollar

40 x .05 = 2

Pennies are worth .01 of a dollar

15 x .01 =  0.15

Add this together

2.5 + 1.7 + 2 + 0.15

= 6.35

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The equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

We have this below shown relation between them

[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we take:

Then, we get:

[tex]s = \dfrac{d}{t}\\\\d = s \times t \: \rm miles[/tex]

Thus, the equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

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Answer:

1  1/5

Step-by-step explanation: