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inysia [295]
2 years ago
8

Use the same coordinate plane to draw the graphs of the functions. Y=kx-2 if k=1, 0.4,-1

Mathematics
1 answer:
mario62 [17]2 years ago
3 0

Graphs can be used to represent functions.

See attachment for the graphs of: <em>y =x - 2, y = 0.4x - 2, y =-x - 2</em>

The function is given as: \mathbf{y = kx - 2}

When k = 1,

We have:

\mathbf{y = 1\times x - 2} ----- substitution property of equations

\mathbf{y = x - 2}

So, the equation is: \mathbf{y = x - 2} when k = 1

When k = 0.4,

We have:

\mathbf{y = 0.4\times x - 2} ----- substitution property of equations

\mathbf{y = 0.4x - 2}

So, the equation is: \mathbf{y = 0.4x - 2} when k = 0.4

When k = -1,

We have:

\mathbf{y = -1\times x - 2} ----- substitution property of equations

\mathbf{y = -x - 2}

So, the equation is: \mathbf{y = -x - 2} when k = -1

See attachment for the graphs of: \mathbf{y = x - 2}, \mathbf{y = 0.4x - 2} and \mathbf{y = -x - 2}

Read more about graphs and functions at:

brainly.com/question/11804653

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Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f
Alex

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

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

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in the given confidence level(z-score or t-score)
  • s is the standard deviation of the sample (or of the population if it is known)
  • N is the sample size

for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

7 0
4 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

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

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0
3 years ago
HELP ASAP will mark brainliest for the first to answer and get it correct
stiks02 [169]

Answer:

B. subtraction property of inequality

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?
Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.

4 0
3 years ago
Solve for b. (g+l)b=n
denis23 [38]

Answer:

         n

b = ---------

      (g+l)

Step-by-step explanation:

We need to isolate b.  Starting from (g+l)b=n, we divide both sides by (g+l), obtaining

         n

b = ---------

      (g+l)

7 0
3 years ago
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