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Oksana_A [137]
3 years ago
6

Three solutions for the linear equation 4 −3 = 1.

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

(1, 1), (2, 2.333) and (3, 3.666).

Step-by-step explanation:

So, for x = 1, we have:

4*1 - 3y = 1

3y = 3

y = 1

For x = 2, we have:

4*2 - 3y = 1

3y = 7

y = 2.333

For x = 3, we have:

4*3 - 3y = 1

3y = 11

y = 3.666

The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).

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alina1380 [7]

-- Look at the places where the line crosses the 'x' axis and the 'y' axis.
   Between those two points, it goes forward 2 units, but only rises 1 unit.
   So the slope of the line is  1/2 .

-- Look again at the point where the line crosses the y-axis.
   At that point, y=1 .
   That's the "y-intercept".

Now you have the slope and y-intercept of the line.

The equation of ANY straight line is

                         y = (slope)x + (y-intercept) .

You know what they both are, so you can easily write

                         y = 1/2 x + 1 .

Is that one of the choices ?
Yes it is.
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3 0
3 years ago
Read 2 more answers
A ski gondola carries skiers to the top of a mountain. assume that weights of skiers are normally distributed with a mean of 199
Allushta [10]
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb

</span>B)  First, find the z-score:
z = (value - mean) / stdev
   = (150 - 199) / 41
   = -1.20

We need to find P(z > -1.20) = 1 - P(z < -1.20)

Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849

Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>

C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb

Let's repeat the steps of point B)

z = (187.5 - 199) / 41
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P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141

</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%

D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
                                     = 3750 </span></span><span>÷ 199
                                     = 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
4 0
2 years ago
Answers are <br><br>A. 41 degrees <br>B. 15 degrees <br>C.90 degrees <br>D. 83 degrees ​
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

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5 0
3 years ago
2c+17.6 =6 / 4 SOLVE give your answer as a decimal get brainly
tamaranim1 [39]

Answer:

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Step-by-step explanation:

In order to solve for C you first have to subtract 17.6 from both sides.

2c=(6/4)-17.6

6/4 is 1.5

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8 0
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A group of 45 students went to a basketball game.
monitta

Answer:

See below. (C*a) + (P*b) = M

Step-by-step explanation:

amount of students = 45

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amount of popcorn per student = 1

Let "S" be the total amount of students

Let "C" be the total amount of candy

Let "P" be the total amount of popcorn

Let "T" be the total number of snacks

Let "a" be the price per candy

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The total amount of money spent at the game is unknown.

(C*a) + (P*b) = M

I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!

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