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2 years ago

9

What is the probability of rolling an odd number and spinning "B," given the sample space below? 1 2 3 4 5 6 A A1 A2 A3 A4 A5 A6

B B1 B2 B3 B4 B5 B6 C C1 C2 C3 C4 C5 C6 D D1 D2 D3 D4 D5 D6

1 answer:

Zielflug [23.3K]2 years ago

6 0

There are 3 odd numbers out of 6 numbers and 7 B's out of 28 so

required probability = 3/6 * 7/28 = 1/2 * 1/4 = 1/8 Answer

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a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra

Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

$x \leq 200$ -----> inequality A

$y \leq 300$ -----> inequality B

$x+y \leq 435$ -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

$P=50x+35y$

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- $P=50(0)+35(300)=\$10,500$

For (135,300) ----- $P=50(135)+35(300)=\$17,250$

For (200,235) ----- $P=50(200)+35(235)=\$18,225$

For (200,0) ----- $P=50(200)+35(0)=\$10,000$

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

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2 years ago

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Which ordered pair would form a proportional relationship with the point graphed below

butalik [34]

Your answer should be b

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A sample of 75 concrete blocks had a mean mass of 38.3 kg with a standard deviation of 0.6 kg.

Scilla [17]

The answer will be a

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2 years ago

A caterer makes 3 extra sandwhiches for every 20 sandwhiches a customer orders. What is the ratio of ordered sandwiches to extra

VMariaS [17]

You can solve this by making a proportion.

$\frac{3}{20} = \frac{x}{184}$

you cross multiply and divide to solve this. your answer is 8.

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2 years ago

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95cents, a 14-oz cup costs $1.15, and a 20-oz cup costs

lianna [129]

Answer:

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Step-by-step explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29 ----- (i)

.95x + 1.15y + 1.5z = 34.05 ---- (ii)

10x+ 14y + 20z = 414 ---- (iiI)

We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)

x= 7

y=16

z=6

5 0

2 years ago