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2 years ago

Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.

Mathematics

1 answer:

nikitadnepr [17]2 years ago

8 0

Answer:

$(x-100)

Step-by-step explanation:

Phil entered the poker tournament with $100.
He received a price of $x.

His net winnings from the tournament will be the price minus the entry fee.

Therefore:

Phil's net winnings=$(x-100)

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In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev

tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

6 0

2 years ago

Solve the equation -10 (g - 6) = -65

Elanso [62]

Step-by-step explanation:

$- 10(g - 6) = - 65 \\ - 10g + 60 = - 65 \\ - 10g = - 125 \\ 10g = 125 \\ g = \frac{25}{2}$

5 0

2 years ago

CL 6-131. Solve each system using the method of your choice.

shepuryov [24]

System 1: The solution is (x, y) = (-4, 5)

System 2: The solution is $(x, y) = (\frac{11}{3}, -3)$

Solution:

Given system of equations are:

2x + 3y = 7 ------ eqn 1

-3x - 5y = -13 --------- eqn 2

We can solve by elimination method

Multiply eqn 1 by 3

6x + 9y = 21 ------ eqn 3

Multiply eqn 2 by 2

-6x - 10y = -26 ------- eqn 4

Add eqn 3 and eqn 4

6x + 9y -6x - 10y = 21 - 26

-y = -5

y = 5

Substitute y = 5 in eqn 1

2x + 3(5) = 7

2x + 15 = 7

2x = -8

x = -4

Thus the solution is (x, y) = (-4, 5)

<h3>Second system of equation is:</h3>

8 - y = 3x ------ eqn 1

2y + 3x = 5 ----- eqn 2

We can solve by susbtitution method

From given,

y = 8 - 3x ----- eqn 3

Substitute eqn 3 in eqn 2

2(8 - 3x) + 3x = 5

16 - 6x + 3x = 5

3x = 16 - 5

3x = 11

$x = \frac{11}{3}$

Substitute the above value of x in eqn 3

y = 8 - 3x

$y = 8 - 3 \times \frac{11}{3}\\\\y = 8 - 11\\\\y = -3$

Thus the solution is $(x, y) = (\frac{11}{3}, -3)$

4 0

2 years ago

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the loc

mars1129 [50]

To find the number of possible combinations, you multiple the possible number of outcomes for each category together. For example, there are 5 choices of pastries, 4 choices of drinks, and 2 newspaper choices, so normally there are 5 x 4 x 2=40 possible combinations. Without a muffin, these numbers would change to 4 x 4 x 2=32. The difference would be 8 possible options, so choice C.

3 0

2 years ago

Read 2 more answers

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x

konstantin123 [22]

First, she distributed $3*x=3x , 3*4=12, 5*x= 5x, 5* -4= -20$
Which gave her $3x+12+2=2+5x-20$
Then, she combined like terms $12+2=14 and 2+ -20 = -18$
Which gave her $3x+14=5x-18$
Then, she subtracted $3x$ from both sided
Which gave her $14=2x-18$
Then, she added $18$ to both sides
Which gave her $32=2x$
And finally sh edivided 32 by 2 and got $16=x$
hope this helps if you have any questions please pm me :)

5 0

2 years ago

Read 2 more answers