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Yakvenalex [24]
3 years ago
13

A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the de

ck. You win $10 if the card drawn is an ace. Otherwise, you lose $1. If you make this wager very many times, what will be the mean amount you win?
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

-$0.15

Step-by-step explanation:

We have been given win = $10, and loss = $-1

This deck of cards has 4 aces out of a total of 52 cards.

Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.

P(win) = number of favorable outcome/number of possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

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Arc length
Natali5045456 [20]

Answer:

Step-by-step explanation:

hello :

The circumference of the circle is 6π inches  

The length of the arc is (340/360)×6π = 17.8 inches  

(The complete circumference would cover 360°. Angle ALB is 340°)  

:  

8 0
2 years ago
I need help with this question
nata0808 [166]

I don't know if you've learnt this, but there's something called the KFC rule (you use it when dividing fractions), so k basically stands for keep (so you keep the first fraction), f stands for flip (so you flip the second fraction) and c stand for change (you change the division sign to a multiplication sign)

So you get

5/20*11/5

55/100

which is 11/20

so, an answer of 11/20 would make Quintin correct
5 0
3 years ago
Read 2 more answers
1. What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?
fgiga [73]
Hello!

1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4

2pi radians=all

part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians



2. 
assuming 9pi/5 radians

find circumference
c=2pir
c=2*26.9*pi
c=53.8pi

arc/circumference=(9pi/5)/2pi

x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m


Hope this Helps! Have A Wonderful Day! :) 
5 0
3 years ago
Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant
sineoko [7]

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

\displaystyle \large{|3x+8|-9=-5}

Add both sides by 9.

\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

\displaystyle \large{ |ax + b|  = c}

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

Hence, the equation does have a solution!

3 0
2 years ago
In a popular online role playing game, players can create detailed designs for their
Ber [7]

Answer:

2/1

Step-by-step explanation:

5 0
2 years ago
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