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kondor19780726 [428]
2 years ago
10

The cafeteria creates pre-made boxed lunches with equal numbers of the following items:

Mathematics
2 answers:
Komok [63]2 years ago
7 0

Answer:

The required probability is, \frac {1}{6}

Step-by-step explanation:

P(A sandwich is made of roast beef) = \frac {1}{2}

P(A snack is made of popcorn) = \frac {1}{3}

Since, the two events, i. e., 'A sandwich is made of roast beef' and 'A snack is made of popcorn' are independent, so,

P(Gretchen will get a roast beef sandwich and popcorn in her box)

= \frac {1}{2} \times \frac {1}{3}

= \frac {1}{6}

____ [38]2 years ago
5 0

Answer:

The probability is 1/6

Step-by-step explanation:

Let's define the following events:

A: get a roast beef sandwich.

B: get popcorn.

Given there are 2 possible sandwiches (bologna or roast beef), P(A) = 1/2

Given there are 3 possible snacks (chips, popcorn, or pretzels), P(B) = 1/3

These events are independent, then:

P(A ∩ B) = P(A) * P(B) = 1/2 * 1/3 = 1/6

where  P(A ∩ B) means Gretchen gets both a roast beef sandwich and popcorn.

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pshichka [43]

Answer:

5/136

Step-by-step explanation:

Probability is the chance of an event happening.

Probability = (Favorable outcome)/(total outcome)

P(r and n) = 2/17 × 5/16

=(2 × 5)/(17 × 16)

= 10/272

= 5/136

7 0
2 years ago
Read 2 more answers
Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number
Orlov [11]

That would be a false statement

6 0
2 years ago
Consider the first five steps of the derivation of The Quadratic function
Burka [1]

Answer:

Step-by-step explanation:

  • pick like terms

x² +  b²/4a² = -c / a + b²/4a²

  • b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² =  -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² =  (-4ac+ b²)/4a²

  • square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a  =  √( b²-4ac) / 2a

  • subtract b/2a from both sides

x + b/2a -b/2a  =  {√( b²-4ac) / 2a } -b/2a

x = -b/2a +   {√( b²-4ac) / 2a }

  • the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

7 0
2 years ago
PLEASE HELP!
Bond [772]

Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.  

The Standard special sells for $2, then x Standard Specials cost $2x.

The Deluxe special sells for $4.50, then y  Deluxe specials cost $4.50y.

1. Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials. This means that

2x+4.50y≥200.

2.  When all related business expenses are included, the Standard special costs $0.50 to prepare, then x Standard Specials cost $0.50x.

When all related business expenses are included, the Deluxe special costs $1.25 to prepare, then y Deluxe specials cost $1.25y.

Expenses were no more than $100, then

0.50x+1.25y≤100.

3. At least 30 Standard special were sold, then x≥30.

4. Graph all these inequalities (see attached diagram). As you can see only point (60,70) doesn't belong to needed region.

Answer: all points except point (60,70)

8 0
2 years ago
Read 2 more answers
Angel bought 8 oranges and 11 apples for a total of $15.22. He knows that each orange costs $0.50 and reasoned that each apple m
ella [17]
Find cost of apples
total=oranges+apples
total-oranges=apples


0.5=1/2
cost of oranges=8 times 0.5=8 times 1/2=4

total=15.22
oranges=4
15.22-4=apples
11.22=11 apples
we can see that if the apples were 1 dollar each then the cost woud be $11, but is is more, so it is a little more than $1 each

correct, because of math
3 0
2 years ago
Read 2 more answers
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