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mariarad [96]
3 years ago
7

How to cross multiple 3/5 by 10

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Here is you're answer:

In order to cross multiply you have to multiply the numerator and denominator of the first fraction by the bottom number of the second fraction and see if the equation is still true:

  • \frac{3}{5} \times 10
  • \frac{3}{5} \times \frac{10}{1}
  • 3 \times 1 = 5 \times 10
  • Solve if you like:
  • 3 \times 1 = 3
  • 5 \times 10 = 50
  • = \frac{4}{50}

Therefore you're answer is "3 × 1 = 5 × 10."

Hope this helps!

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A survey is conducted to find out whether people in metropolitan areas obtain their news from television (Event T), an newspaper
MrMuchimi

Answer:

e) P ( R' | T ) = 0.62857

f)  P ( T' | N ) = 0.32258

g)  P ( R' | N ) = 0.70968

h) P ( T' | N&R ) = 5/6

Step-by-step explanation:

Given:

- The probability of Television as news source P ( T ) = 0.7

- The probability of Newspaper as news source P ( N ) = 0.62

- The probability of Radio as news source P ( R ) = 0.46

- The probability of Television & Newspaper as news source P (T&N) = 0.42

- The probability of Television & Radio as news source P (T&R) = 0.26

- The probability of Radio & Newspaper as news source P (R&N) = 0.18

- The probability of all 3 as news source P ( T & R & N ) = 0.03

Find:

Given that TV is a news source, what is the probability that radio is not a news source?

Given that newspaper is a news source, what is the probability that TV is not a news source?

Given that newspaper is a news source, what is the probability that radio is not a news source?

Given that both newspaper and radio are news sources, what is the probability that TV is not a news source?

Solution:

- We will first compute the individual probability of each event occurring alone.

   P (Television is the only news source) = P(T) - P(T&R) - P(T&N) + P(T&N&R)

   P ( Only Television ) = P ( only T ) = 0.7 - 0.42 - 0.26 + 0.03 = 0.05

   P (Newspaper is the only news source) = P(N)-P(N&R)-P(T&N)+P(T&N&R)

   P ( Only Newspaper ) = P ( only N ) = 0.62 - 0.18 - 0.42 + 0.03 = 0.05

   P (Radio is the only news source) = P(R) - P(T&R) - P(N&R) + P(T&N&R)

   P ( Only Radio ) = P ( only R ) = 0.46 - 0.26 - 0.18 + 0.03 = 0.05

- Now for part e)

   We are asked for a conditional probability of the form as follows:

            P ( R' | T ) = P ( R' & T ) / P ( T )

   First compute the probability that next news source is not Radio provided it is already a source of TV.                              

            P ( R' & T ) =  P( only T ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | T ) = 0.44 / 0.7

            P ( R' | T ) = 0.62857

- Now for part f)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N ) = P ( T' & N ) / P ( N )

   First compute the probability that next news source is not TV provided it is already a source of Newspaper.                              

            P ( T' & N ) =  P( only N ) + P ( only R & N ) = 0.05 + 0.18 - 0.03 = 0.2

Hence,

           P ( T' | N ) = 0.2 / 0.62

           P ( T' | N ) = 0.32258

- Now for part g)

   We are asked for a conditional probability of the form as follows:

            P ( R' | N ) = P ( R' & N ) / P ( N )

   First compute the probability that next news source is not Radio provided it is already a source of Newspaper.                              

            P ( R' & N ) =  P( only N ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | N ) = 0.44 / 0.62

            P ( R' | N ) = 0.70968

- Now for part h)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N&R ) = P ( T' & N & R) / P ( N & R )

   First compute the probability that next news source is not TV provided it is already a source of both radio and Newspaper.                              

            P ( T' & N & R) = P ( only N & R ) = 0.18 - 0.03 = 0.15

Hence,

            P ( T' | N&R ) = 0.15 / 0.18

            P ( T' | N&R ) = 5/6

6 0
2 years ago
A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
lora16 [44]

Answer:

  • 425 min
  • $80

Step-by-step explanation:

<u>The equation to reflect the monthly plans:</u>

  • Plan A f(x) = 0.16x + 12
  • Plan B g(x) = 0.12x + 29

<u>We need to find the value of x when f(x) = g(x):</u>

  • 0.16x + 12 = 0.12x + 29
  • 0.16x - 0.12x = 29 - 12
  • 0.04x = 17
  • x = 17/0.04
  • x = 425 minutes

<u>The cost is:</u>

  • $0.16*425 + $12 = $80
4 0
2 years ago
If a function is written in slope intercept form, y=mx+b, the x represents the ______.
Hitman42 [59]

The x in y = mx + b represents the input, C.

4 0
3 years ago
Plz help I'm just having a brain fart right now<br><br>​
Wittaler [7]

Answer:

x=11

Step-by-step explanation:

For extra help the second answer is: 7a(3-a)

4 0
3 years ago
1 + 1 ? please help me
user100 [1]

Answer:

1+1=2 so the answer is 2

5 0
2 years ago
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