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Sonja [21]
3 years ago
8

Please explain and walk through problem. Thanks

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Solving a system by substitution means that you use one equation (in this case, the second) to express one variable in terms of the other (in this case, in the second equation, we express y in terms of x.

So, we can substitute this expression for y in the first equation, we have

3x-2y=9

But since we know that

y=2x-7

We have

3x-2(2x-7)=9

We can now solve this equation as usual, since it involves x alone:

3x-2(2x-7)=9 \iff 3x-4x+14=9 \iff -x = -5 \iff x=5

And once we know that value for x, we can compute y:

y=2x-7=2\cdot 5 - 7 = 3

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I hope this helps you

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3 years ago
Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas
mylen [45]

Based on the information given, the true statement true about their gas-price data is A. Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

<h3>Solution to the gas-price data.</h3>

It should be noted that a standard deviation simply measures how dispersed the data will be in relation to the mean.

From the complete question, the mean of Raquel's data is given as 3.42 while the standard deviation is given as 0.07. On the other hand, the mean of Van's data is given as 3.78 while the standard deviation is given as 0.23.

Therefore, it can be deduced that Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

Learn more about standard deviation on:

brainly.com/question/19243813

3 0
3 years ago
Read 2 more answers
Helpp pleasee enough points
lara31 [8.8K]

Answer:

Ok, I did this unit a little while ago but I think I solved it:

Hyp = 16

Opp = 8

Adj = 13.856

0 = 30 degrees

Step-by-step explanation:

You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.

Now you have to use the pythagorean theorem for the third side (adj), so:

a^2 + 8^2 = 16^2

The answer would be around 13.856 (round to what's required.)

Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:

sin-1(0)=8/16

so on your calculator, you should put:

sin-1(8/16)

the angle measure is 30, meaning its a 30 60 90 triangle.

4 0
2 years ago
If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation
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Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

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zavuch27 [327]

Answer:

perimeter: 48in.

area: 144in.

Step-by-step explanation:

Perimeter: 12+12+12+12= 48

Area: 12 x 12= 144

3 0
3 years ago
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