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lesya [120]
3 years ago
7

1. You are choosing a movie from your friend’s movie collection. You can choose 1 of 4 comedies, 1 of 5 dramas, or 1 of 3 classi

cs. How many ways can you choose a movie?
Mathematics
1 answer:
lakkis [162]3 years ago
3 0
3 different ways for choosing a movie
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Assume that the pond contains 90 fish: 64 purple, 25 green, and 1 red. A contestant pays $0.55 to randomly catch one fish and re
Licemer1 [7]

Answer:

The carnival is losing (on average) $0.15 on each play

Step-by-step explanation:

To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.

Expected is the sum of the payouts of each bet multiplied by its likelihood:

EV= \frac{64*0.40+25*1.15+1*9.00}{90}\\EV= 0.70

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

0.55-0.7 = -0.15

The carnival is losing (on average) $0.15 on each play

6 0
3 years ago
Y-b=m(x-a) solve for a
Leni [432]
Y-b=mx-am
y-b-mx=am
(y-b-mx)/m=a
8 0
3 years ago
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)
Law Incorporation [45]

Answer:

Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}

Direction of the sum of the vectors:

\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\

3 0
2 years ago
Solve the inequality for x. –4x + 6 &lt; 50
natulia [17]

Answer:

x > -11  

Step-by-step explanation:  

<u>Step 1:  Subtract 6 from both sides</u>  

-4x + 6 - 6 < 50 - 6  

-4x < 44

<u>Step 2:  Divide both sides by -4</u>  

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.  

<em>x > -11</em>

 

Answer: x > -11

7 0
2 years ago
Can you help me with this question please
Aleksandr-060686 [28]

Answer:

The actual length of the lap = 250 meters

Step-by-step explanation:

∵ The scale factor of the map is 1:1000

∵ The length of the lap on the map is 25 cm

∴ \frac{1}{1000}=\frac{25}{x}

Where x is the actual length of a lap

∴ x = (25 × 1000) ÷ 1 = 25000 cm

∵ 1 meter = 100 centimeter

∴ The actual length of the lap = 25000 ÷ 100 = 250 meters

7 0
4 years ago
Read 2 more answers
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