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Nezavi [6.7K]
3 years ago
10

Graph both functions to find the solution(s) to the system. Use the line tool to graph the line.

Mathematics
1 answer:
kumpel [21]3 years ago
5 0
The graph shows solutions to be ...
  (x, f(x)) = (x, g(x)) = (-2, 5), (2, -3)

_____
Analytically, it works well to find
  g(x) -f(x) = 0
  (x^2 -2x -3) -(-2x +1) = 0
  x^2 -4 = 0
  x^2 = 4
  x = ±√4 = ±2
Then
  f(-2) = -2(-2) +1 = 5
  f(2) = -2(2) +1 = -3

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Justin gave the waiter a $2.25 tip at the
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Answer:

7%

Step-by-step explanation:

32.50--100%

2.25--x%

x=2.25×100%/32.5 it is approximately equal to 7%

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2 years ago
A rectangle has an area of 900square inches. The length of the rectangle is 2.25 times the width.Find the dimensions
Alexeev081 [22]

Answer:

Length = 45 inches and Width = 20 inches

Step-by-step explanation:

Let the width be w.

Length(l)=2.25w

Area = 900 in^2

The formula for the area of a rectangle is Area = length * width

So substituting our values we get:

A=2.25w*w\\900=2.25w*w\\2.25w^2=900\\w^2=\frac{900}{2.25} \\w^2=400\\w=\sqrt{400} \\w=20

So we get width = 20 inches

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4 years ago
Construct a 90% confidence interval for the true mean using the FPCF. (Round your answers to 4 decimal places.) The 90% confiden
mezya [45]

Answer:

The answer is below

Step-by-step explanation:

Twenty-five blood samples were selected by taking every seventh blood sample from racks holding 187 blood samples from the morning draw at a medical center. The white blood count (WBC) was measured using a Coulter Counter Model S. The mean WBC was 8.636 with a standard deviation of 3.9265. (a) Construct a 90% confidence interval for the true mean using the FPCF. (Round your answers to 4 decimal places.) The 90% confidence interval is from to

Answer:

Given:

Mean (μ) = 8.636, standard deviation (σ) = 3.9265, Confidence (C) = 90% = 0.9, sample size (n) = 25

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

From the normal distribution table, The z score of α/2 (0.05) corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\ \\E=1.645*\frac{3.9265}{\sqrt{25} }=1.2918

The confidence interval = μ ± E = 8.636 ± 1.2918 = (7.3442, 9.9278)

The 90% confidence interval is from 7.3442 to 9.9278

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4 years ago
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