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irina1246 [14]
3 years ago
8

Solve for the missing variable. 1.) 80/120 =2/x

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

\frac{80}{120} = \frac{2}{x}

Simplify, divide the numerator and denominator by the same number

\frac{80}{120}\\

÷ 40

\frac{2}{3}

\frac{2}{3} = \frac{2}{x}

Cross products

2x = 2 *3\\2x = 6\\/2    /2\\\\x = 3

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7.
Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

                               Online                             By Mail            Total

             Male             12                                      8                   20

           Female           24                                     6                   30      

             Total             36                                     14                  50    

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

\frac{6}{50}P(Pays bill by mail/Customer is female) = \frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}

Now, Probability that customer is female =  \frac{30}{50}

Also, Probability that customer pays bill by mail and is female =   \frac{6}{50}

So, Required probability =  \frac{\frac{6}{50} }{\frac{30}{50} }

                                         =  \frac{6}{50}\times \frac{50}{30}

                                         =  \frac{1}{5}   =  0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0
3 years ago
Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at leas
katrin2010 [14]

Answer:

A) (5,4)

Step-by-step explanation:

Just take a look at the intersection in the dark blue area. The only point that fits in that area is A) (5,4). And this makes sense, but let's check it anyways:

5 wing + 4 burger < 45

5(6) + 4(3) < 45

42 < 45. If she bought one more burger, she would be at $45, and the problem asked us to be under $45, so this is our answer.

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A) 6
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2 years ago
AB and CD are two chords in a circle intersected in H and Ah=x And HB=8 and CH=4 and HD=7 then x=?
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