A game of chance is played with a deck of 100 cards, numbered from 1 to 100. If 1 to 50 is drawn, the player wins $0. If 51 to 80 is
drawn, the player wins $7. If 81 to 100 is drawn, the player wins $9. If each play of the game cost $5, what is the expected payoff?
A)
-$3.90
B)
-$1.10
C)
$1.10
D)
$3.90

Answer:

The answer is: y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

Answer:

87   39/1000

Step-by-step explanation:

Answer: -2x+18

Hope this will help :)

Answer:

-2x + 18

Step-by-step explanation:

Simplfy

-6 (x - 3) + 4x

-6x + 18 + 4x         Combine liked terms

-2x + 18

Answer:

I have $100 and I buy 3 lunches, after which I'm left with $74.50.  How much does each lunch cost?

Answer:

See explanation below

Step-by-step explanation:

Recall the identity for the cosine of an addition of angles:

[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]

and that for a subtraction of angles:

[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]

Now, use the property of addition of angles above to write :

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

but since :  [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]

Then the cosine of addition of angles above can be written as:

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

We do something similar now with the cosine of the subtraction of angles:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]

Then the cosine of subtraction of angles above can be written as:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:

[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]

which is what we wanted to prove.

Answer:

this is how u would do it

5(2+1)+6−13=3(3−2)  

10+5+6−13=3(3−2)

=2/7

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240

Answer: The cost of milk at Target is 3 standard deviations above the mean = $3.05.

Step-by-step explanation:

Given: Mean price of a gallon of milk = $2.60

Standard deviation =  $0.15

The cost of milk at Target is 3 standard deviations above the mean = Mean + Standard deviation

= $ (2.60+3(0.15))

=-$(2.60+0.45)

= $ 3.05

Hence, the cost of milk at Target is 3 standard deviations above the mean = $3.05.

Answer:

x= 9.37

y = 17.69

Step-by-step explanation:

in order to find the answer, use the trigonometries.

First finding x which is tan(32) = x/15

x = tan(32)15

and Y is cos(32) = 15/y

y = 15/cos(32)

I hope this helps

Answer:

rate of current=1 mph

Step-by-step explanation:

Answer:

ya if you do 3 a day

Step-by-step explanation:

Answer:

yes it is enough time you would have to do 25 assignments aweek

Step-by-step explanation:

Answer:

The mistake is the height has to be 6

Step-by-step explanation:

A=B times H

A= 11 times 6

A=66 divided by 2

A= 33 units squared

Hopefully this helps!

Answer:

the answer is 6 .....

no need to explain

Answer:

At the end of the 100th turn, you have 90 plates placed normally.

Step-by-step explanation:

Not sure if there is a formula to calculate this.  I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Answer:

1886 i think thats right if you do the math

Step-by-step explanation:

Answer:

18 cars

Step-by-step explanation:

6 times 2= 12 boats

3 times 6= 18 cars

Hopefully this helps!

Answer:

He has 36 cars if there are 12 boats

Step-by-step explanation:

If he has 3 cars for every 2 boats he has then he would have 36 cars. You multiply 12 and 3 to get 36.

Answer:

C. 33

Step-by-step explanation:

Answer:

1200/2000

Step-by-step explanation:

There are 1200 students total that have a GPA less than 3.00. That means that out of 2000 students, 1200 of them have a GPA less than 3.00, hence 1200/2000 chance that a student is picked at random with less than a 3.00.

Answer:

The answer is 8

Step-by-step explanation:

Since there's already a negative sign right beside h and one outside of it, the answer has to be positive, and since 12-4=8, the answer is 8

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

Answer:

About 2.08 Uranus years is equal to 175 Earth years

Step-by-step explanation:

1     = ?

84     175

175/84 = 2.08

Number of Uranus years are equal to 175 Earth years is 2.08 years.

Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of years be x

1 : 84 :: x : 175

⇒ 1/84 = x/175

⇒ 84x=175

⇒ x=175/84

⇒ x=2.08 years

Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ2

Answer: x = -74

Step-by-step explanation:

Answer:

the missing angle is 5m

Step-by-step explanation:

Answer:

Ah yes, Pearson lol. It should be 4 or 5 m.

Step-by-step explanation:

Hope this helps :)

Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Answer:

6500

Step-by-step explanation:

6700-200= 6500

6500 ft above sea level