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3 years ago

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Mathematics

1 answer:

Furkat [3]3 years ago

3 0

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

y=8−2x

x−(8−2x)=2

Simplify the left side.

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y=8−2x

3x−8=2

Solve for x

in the second equation.

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y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

y=8−2(103)

x=103

Simplify 8−2(103)

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y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

3 years ago

1.-si el area de un rectangulo es de 144 metros cuadrados y su altura de 8 metros ¿ cual es el valor de su base?

kari74 [83]

Step-by-step explanation:

FÓRMULA:

$144 m^{2}$ = b(8 m)

SE DESPEJA

b = $144 m^{2}$ /8 m = 18 m

5 0

3 years ago

Describe how to find the area of a circle that has only the circumference of the circle?

BlackZzzverrR [31]

Circumference, C = 2 $\pi$ r. Find the radius using this formula then use it to find the area with A = $\pi$ $r^{2}$ .

OR use the formula A = $\frac{C ^{2} }{4\pi }$

Hope it helps. mark as brainliest if it does...

5 0

3 years ago

If cade shoots 359 free throws shoot in 4 hours, how many can he shoot in 6 hours

Effectus [21]

538
Explanation
You divide 359 by 4 and then you multiply the answer by 6

7 0

3 years ago

How can you use a picture to find 3 times 2.7

Hitman42 [59]

Hope this picture helps!

<span>The 2.7 has been broken into 2 and 0.7, and then both of these parts have been multiplied by 3, giving you the two answers of 6 and 2.1 shown. Adding these two together gives you the answer of 8.1. </span>

5 0

3 years ago