100-99+98-97+96-95...2-1=

Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hea

Afina-wow [57]

Answer: −1.409

Step-by-step explanation:

Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013

Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118

Probability of other draw: 1 - 0.013 - 0.118 = 0.869

0.013 * (50 - 5) = 0.585

0.118 * (25 - 5) = 2.353

0.869 * (0 - 5) = -4.347

Expected value: 0.585+ 2.353 - 4.347 = -1.409

7 0

3 years ago

Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the

Nana76 [90]

51 53 55 58 60 so the 4th one

7 0

3 years ago

Read 2 more answers

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Soloha48 [4]

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = $\sqrt{184.96}$ = 13.6

6 0

2 years ago

Using long division to find the quotient, what changes do you first

lora16 [44]

Answer:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

Step-by-step explanation:

Given

$Dividend = 125x^3 - 8$

$Divisor = 5x - 2$

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

$\frac{125x^3}{5x} =25x^2$

Write $25x^2$ at the top

Multiply $5x - 2$ by $25x^2$

$= 125x^3 - 50x^2$

Subtract from 125x^3 - 8

i.e.

$125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8$

Step 2:

Divide 50x^2 by 5x

$\frac{50x^2}{5x} = 10x$

Write $10x$ at the top

Multiply $5x - 2$ by $10x$

$= 50x^2 - 20x$

Subtract from 50x^2 - 8

i.e.

$50x^2 - 8 - (50x^2 - 20x) = 20x - 8$

Step 3:

Divide 20x by 5x

$\frac{20x}{5x} = 4$

Write $4$ at the top

Multiply $5x - 2$ by $4$

$= 20x - 8$

Subtract from 20x - 8

i.e.

$20x - 8 - (20x - 8) = 0$

Hence:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

8 0

2 years ago

Creating a One-Variable Equation to Model and Solve a Problem

guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

$43 + 7h = 64$

Solving the equation, we get,

$43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3$

Thus, the hourly fee is $3 per hour.

Equation:

$C(x) = 43 + 3x$

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0

2 years ago