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artcher [175]
3 years ago
7

Solution to the system of equation -6x+y=-3 and 7x-y=3​

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

X = 0

Y = -3

Step-by-step explanation:

In this situation you would choose elimination.

-6x+y=-3

7x-y=3

---------------

x = 0

plug back in to find y

(-6)(0) + y = -3

0 + y = -3

y = -3

plug in to other equation for double check

7(0) - (-3) = 3

0 + 3 = 3

3 = 3

Hope this helps

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Try to answer this question for me pleaseee
RideAnS [48]

Answer:

H

Step-by-step explanation:

180-48=132

8 0
3 years ago
The data given to the right includes data from ​candies, and of them are red. The company that makes the candy claims that ​% of
Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

n = 39, \pi = \frac{8}{39} = 0.2051

Hence the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
Write the standard equation for the circle with center (6, –8) that passes through (0, 0).(x – 6)2 + (y + 8)2 = 0(x – 6)2 + (y +
Anna [14]
Your equation is:

(x - 6)² + (y + 8)² = 100

When you plug in (0, 0) into this equation, you get:
(0 - 6)² + (0 + 8)² = 100
(- 6)² + 8² = 100
36 + 64 = 100
100 = 100
3 0
4 years ago
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from
asambeis [7]

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

3 0
3 years ago
Which expression completes the factored form of this quadratic expression? x2 + 4x – 5
Advocard [28]
Find factors of -5 that, when added together, will give 4

x² + 4x - 5
x             5
x           -1

(x + 5)(x -1)

Using the FOIL method (First, Outside, Inside, Last), we can get the question again.

x(x) = x²
x(-1) = -x
5(x) = 5x
5(-1) = -5

x² - x + 5x - 5
x² + 4x - 5


(x + 5) (x - 1) is your answers

however, i believe it is only asking for one. Therefore, because (x - 1) is a choice, (x - 1) should be your answer

hope this helps
5 0
3 years ago
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