A. 10 boys to 12 girls because both numbers in the given ratio have been multiplied by two 5*2=10 6*2=12. None of the other options can be simplified to the original given ratio of 5:6.

8 0

2 years ago

In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack o

Artyom0805 [142]

Answer:

$E.G=\$2$

Step-by-step explanation:

Sample size 52 card

Pay for J or Q $=\$17$

Pay for King or Ace $=\$5$

Pay for others $=-\$2$

Therefore

Probability of drawing J or Q

$P(J&Q)=\frac{8}{52}$

Probability or drawing King or Ace

$P(K or A)=\frac{8}{52}$

Probability or drawing Other cards

$P(O)=\frac{36}{52}$

Therefore

Expected Gain is mathematically given as

$E.G=\sum_xP(x)$

$E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}$

$E.G=\$2$

3 0

3 years ago

the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit

Sati [7]

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = $\frac{-4}{-2}$ --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2

4 0

3 years ago

Read 2 more answers

How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t

Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

2 players are taken from a set of 25, hence the number of ways is given by:

$P_{(25,2)} = \frac{25!}{23!} = 600$ .

More can be learned about the permutation formula at brainly.com/question/25925367

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4 0

1 year ago