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dem82 [27]
3 years ago
9

11. A line through points (-5, 2) and (2, y) has a slope of 3. Find y. Help

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

23

Step-by-step explanation:

  • Create an equation to find y:  3 = \frac{y-2}{2-(-5)}
  • Calculate by adding:  3 = \frac{y-2}{7}
  • Multiply both sides of the equation by 7 : 21 = y - 2
  • Move the variable to the left-hand side and change its sign : -y + 21 = -2
  • Calculate and change signs : y = 23

                                                             y = 23

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Which system of equations has an infinite number of solutions?
PilotLPTM [1.2K]

Answer:

I think it's x - y = 9

Step-by-step explanation:

It's the only without a variable with it. Hope this helps :)

8 0
3 years ago
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The time college students spend on the internet follows a Normal distribution. At Johnson University, the mean time is 5 hrs wit
netineya [11]

Answer:

The probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

Step-by-step explanation:

We are given that . At Johnson University, the mean time is 5 hrs with a standard deviation of 1.2 hrs.

Mean = \mu = 5 hours

Standard deviation = \sigma = 1.2 hours

We are supposed to find the probability that the average time 100 random students on campus will spend more than 5 hours on the internet i.e. P(X>5)

Z=\frac{x-\mu}{\sigma}

Z=\frac{5-5}{1.2}

Z=0

P(X>5)=1-P(X<5)=1-P(Z<0)=1-0.5=0.5

Hence the probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

7 0
3 years ago
Round 24 3/7up to the nearest whole number
tatyana61 [14]

Answer:

24

Step-by-step explanation:

I hope this helps, and have a great day! :D

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If 10^y=y^10, then what is y?
Andrew [12]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
In the 75th Congress (1937−1939) there were in the Senate 75 Democrats, 17 Republicans, and 4 members of other parties. Suppose
ira [324]

Answer:

42 Democrats members

12 Republicans members

2 other parties members

Step-by-step explanation:

We know that there are a total number of voters of

  • 75 (democrats)+17 (Republicans)+ 4( Other parties)=  96 voters

And we know that the bill has passed with 16 nore votes in favor that against, so let's calculate how many votes in favor of the bill we have:

  • 96 Votes = F (votes in Favor)+ A (votes against)

also: F= A+16= A = F-16, so:

  • 96= F+A= F+F-16 => F= 56 votes in favor of the bill

Thos 56 votes are the sum of the votes in favor from all the parties:

56 = D (votes in favor of democrats)+R ((votes in favor of Republicans)+OTH (votes in favor of other parties)

=> 56= D+R+OTH (A)

also democrat's votes in favor are three times the sum of non-democrat's votes in favor:

  • D= 3*( R+OTH) => OTH= D/3-R

and we have 30 more democrats thar republicans voting in favor:

  • D= R+30 => R=D-30

if we replace in the (A) formula:

56 = D+R+OTH => 56= D+D-30+D/3-D+30 =>

  • 56=4/3*D => D=42 (DEMOCRATS VOTES IN FAVOR)
  • R= D-30 => R= 12 (REPUBLICAN VOTES IN FAVOR)
  • OTH= D/3-R= 14-12= 2 (OTHER PARTIE'S VOTES IN FAVOR)

5 0
3 years ago
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