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Zolol [24]
2 years ago
10

Describe and correct the error in writing an equation of the line shown

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Answer:

y = - \frac{3}{5} x + 4

Step-by-step explanation:

the student used the y- coordinates of the points in the wrong order.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = \frac{1-4}{5-0} = \frac{-3}{5} = - \frac{3}{5}

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - \frac{3}{5} x + 4 ← equation of line

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An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy
nydimaria [60]

Part A

Given info:

  • xbar = sample mean = 4.90 ppm
  • s = sample standard deviation = 1.12 ppm
  • n = 23 = sample size

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer:  (4.50, 5.30)</h3>

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

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\

Round this up to the nearest integer to get 20326. For min sample size problems, <u>always</u> round up.

<h3>Answer: 20326</h3>
6 0
2 years ago
3.
saveliy_v [14]

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.


-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.


-4.08x -0.88x +6

= -4.96x +6


This would be your final answer because nothing further can be done at this point.


hope this helps!

3 0
2 years ago
7. As part of a research study you measure participants' heights in inches. The average height of all participants is 70 inches,
e-lub [12.9K]

Answer:

I suggest asking your professor for help.

Step-by-step explanation:

sorry I couldn't help this time.

6 0
3 years ago
Sheila can pay her hotel bill in Euros (€) or Pounds (£).
algol [13]

Answer:

£365 is cheaper than  €425.

Step-by-step explanation:

We want to convert both prices to the same currency. It is easier to convert pounds to euros, as the exchange rate uses £1.

€425 or £365

£365 = €(365 * 1.14)

£365 = €416.10

€425 > €416.10

£365 is cheaper than  €425.

8 0
3 years ago
HALP! EASY MATH (not for me obviously) <br>show work plz<br>halp!
galben [10]

Answer:

Infinitely many solutions

Step-by-step explanation:

Solve y = 3x+1 for y

y = 3x+1

Substitute 3x+1 for y in -6x+2y = 2

−6x+2y = 2

−6x+2(3x+1) = 2

2=2

2+−2=2+−2

0=0

4 0
3 years ago
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