1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
2 years ago
6

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

s not a spade, the player loses $1.
What is the expected value of this game? $________________
Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

E(x) = \sum x * P(x)

This gives

E(x) = \frac 14 * 7 - 1 * \frac34

Simplify

E(x) = \frac 74 - \frac34

Evaluate

E(x) = 1

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

You might be interested in
-4v-12=-12-4v I need so much help!!!!
tankabanditka [31]

Answer:

0 = 0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help ASAP please!!!!!!!!!​​
Katena32 [7]

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

∴ m∠C = 45°

The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

∵ m∠J = 15°

∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

∵ m∠J + m∠K + m∠L = 180°

→ Substitute the measures of ∠J and ∠L

∵ 15 + m∠K + 45 = 180

→ Add the like terms in the left side

∴ 60 + m∠K = 180

→ Subtract 60 from both sides

∴ 60 - 60 + m∠K = 180 - 60

∴ m∠K = 120°

∴ m∠B = m∠K

∴ Δ JKL is similar to Δ ABC

6 0
3 years ago
The largest orange in a bag has the circumference of 9 5/8 inches. The smallest orange has a circumference
Marysya12 [62]

Answer:

1.81 inches

Step-by-step explanation:

Given that,

The circumference of the largest orange in a bag is 9\dfrac{5}{8}\ \text{inches} and that of smallest orange is 7\dfrac{13}{16}\ \text{inches}.

Difference = largest orange - smallest orange

= 9\dfrac{5}{8}-7\dfrac{13}{16}\\\\=\dfrac{77}{8}-\dfrac{125}{16}\\\\=\dfrac{29}{16}\\\\=1.81\ \text{inches}

So,  difference of the circumferences of the smallest orange and the largest orange is 1.81 inches

4 0
2 years ago
What is the value of (–3 + 3i) + (–2 + 3i)?
Bess [88]

Answer:

6i - 5

Step by step:

Assuming x = i

Simplify step by step:

−3+3x−2+3x

=−3+3x+−2+3x

Combine Like Terms:

=−3+3x+−2+3x

=(3x+3x)+(−3+−2)

=6x+−5

5 0
3 years ago
Read 2 more answers
What is the distance between (-9,-6) and (-2,2)?
Firlakuza [10]

Answer:

square root of 113

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Focus groups of 15 people are randomly selected to discuss products of the Yummy Company. It is determined that the mean number
    9·1 answer
  • Tony rounded each of the numbers 1210 and 1148 to the nearest hundred. Which choice correctly compares the rounded numbers
    9·2 answers
  • A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How
    8·1 answer
  • Which expression is equivalent to 9 p minus 3 p + 2?<br> 8p<br> 14p<br> 6 p + 2<br> 9 p minus 1
    12·2 answers
  • 3. The box-and-whisker plot below shows the heights,in inches, of the students in a 7th grade class.What percentage of the heigh
    11·1 answer
  • Can someone help me with this writing assignment?
    9·1 answer
  • P varies inversely with x. If P = 14 when x= 16, find the value of P when x = 21.
    11·1 answer
  • Find the measures of the numbered angles in each rhombus. So find 1 2 and 3
    7·1 answer
  • Find the range of values of a for which 11- 2a&gt;1 is ____<br>​
    8·2 answers
  • Find the measure of each interior angle​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!