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2 years ago

100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9

2 answers:

6 0

5x+3y = 41 multiply whole thing by -2 so the y’s cancel out
3x-6y = 9

Becomes
-10-6y=-82
- subtract
3x-6y = 9

=
-13x+0y=-91
X=7

Plug in x to find y
3(7)-6y=9
21-6y=9
Y=2

PIT_PIT [208]2 years ago

4 0

Answer:

y = 2

x = 7

Explanation:

5x + 3y = 41

3x - 6y = 9

<u>Make the coefficient of "y" in equation 1 same</u>

{ 5x + 3y = 41 } * 2 → 10x + 6y = 82 ........equation 1

→ 3x - 6y = 9 ........equation 2

<u>solving them using linear combination</u>

10x + 6y = 82

3x - 6y = 9

============

13x = 91

x = 7

Find y:

5x + 3y = 41

5(7) + 3y = 41

3y = 41 - 35

3y = 6

y = 2

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3 years ago

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6 0

3 years ago

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

M is the sample mean weight of the wild mountain lions ( $\frac{69 +104 +125 +129+60 +64}{6} =91.8$ )

ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)

s is the standard deviation of the sample(31.4)

N is the sample size (6)

Thus, ME= $\frac{1.30*31.4}{\sqrt{6} }$ ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0

3 years ago

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.