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2 years ago

You could win a $1000 prize by tossing a coin in one of two games: game

1 answer:

8 0

In either game, 50 tosses would increase your chances of winning.

The theoretical probability of flipping heads is 1/2 or 50%. The more times you perform an experiment, the closer the experimental probability is to the theoretical. This means that your average will be closer to 50% the more times you perform the experiment.

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On a backpacking trip through Europe, Troy spent 20 Swiss francs to stay one night in a youth hostel. If the foreign exchange ra

Vlad [161]

He spent 9 dollars and 9 cents so $9.09

5 0

2 years ago

Read 2 more answers

21. Given directed line segment WV , find the coordinates of R

Jobisdone [24]

Answer:

$R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$

Step-by-step explanation:

Let the coordinate of the points W, V and R are $(x_1,y_1), (x_2,y_2),$ and $(x_s,y_s)$ respectively.

The coordinate of the section point, $(x_s,y_s),$ which divides the line joining the two points $(x_1,y_1)$ and $(x_2,y_2)$ in the ration $m:n$ is

$x_s=\frac {nx_1+mx_2}{m+n}$ and

$y_s=\frac {ny_1+my_2}{m+n}$ .

The given ration is, $m:n=3:4$

$R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)$

$=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$ .

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

6 0

2 years ago

On two investments totaling $6,000, Brian lost 7% on one and earned 8% on the other. If his net annual receipts were $420, how m

lianna [129]

Answer:

the amount of money invested at the rate of 7% is $400

the amount of money invested at the rate of 8%. Is $5600

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 7%.

Let y represent the amount of money invested at the rate of 8%.

The total amount of money that Brian invested is $6000. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate at 7%,

P = x

R = 7%

T = 1

I = (x × 7 × 1)/100 = 0.07x

Considering the investment at the rate of 8%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.08y

If his net annual receipts were $420, it means that

0.08y - 0.07x = 420 - - - - - - - - -1

Substituting x = 6000 - y into equation 1, it becomes

0.08y - 0.07(6000 - y) = 420

0.08y - 420 + 0.07y = 420

0.08y + 0.07y = 420 + 420

0.15y = 840

y = 840/0.15 = 5600

x = 6000 - y = 6000 - 5600

x = 400

8 0

2 years ago

One week, Brody earned $396.10 at his job when he worked for 17 hours. If he is paid the same hourly wage, how many hours would

mario62 [17]

Answer:

30 hours

Step-by-step explanation:

so i did 396.10/ 17, and i got 23.3 then u divide his hourly pay by 699.00 and u got 30

4 0

2 years ago

Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the

Elena L [17]

PART 1:55-21=35
35/60=.58333
360×.58333 =210 DEGREES
210*pi/180 = 3.665 RADIANS

PART 2: (pi) x 2r x .58333
3.14 x 12 x .58333 = 21.98 in

PART 3: 5π inches = 5 x 3.14 = 15.708 inches / 6 in radius = 2.618 radians

PART 4: 2.618 radians * 180/pi = 150° 
 x coordinate = 6(cos 150°) = -5.196 
 y coordinate = 6(sin 150°) = 3 
 the coordinates would be (-5.196, 2)

7 0

2 years ago

Read 2 more answers