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dimaraw [331]
3 years ago
14

Tell whether the ordered pair (- 3, 0) is a solution of the given system. - 2x + 2y >= 4an y >= 2x - 6

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

The ordered pair is a solution.

Step-by-step explanation:

Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:

-2x + 2y >= 4

-2(-3) + 2(0) = 6   which is > 4 so this one fits.

y>= 2x - 6

0 >= 2*-3) - 6 = -12 which also fits.

german3 years ago
7 0

Answer:

it is a solution

Step-by-step explanation:

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A random sample of adult female reaction times has a sample mean of x¯=394.3 milliseconds and sample standard deviation of s=84.
s2008m [1.1K]

Answer:

99.7%

Step-by-step explanation:

Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.

The empirical rule states that for a normal distribution:

  1. 68% falls within one standard deviation (μ ± σ)
  2. 95% falls within two standard deviation (μ ± 2σ)
  3. 99.7% falls within three standard deviation (μ ± 3σ)

one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms

two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms

three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms

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3 years ago
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Step-by-step explanation:

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3 years ago
Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the g
Novay_Z [31]

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

Goal = 3585

Collected = 21\%

Kurt= 10\% * 3600 * 2

Maria = \frac{1}{5} * 3600

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

Actual = Collected * Goal

Actual = 21\% * 3585

Actual = 752.85

Actual = 753 --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

Estimate = 20\% * 3600

Estimate = 720

Next, calculate Kurt and Maria's estimates

Kurt= 10\% * 3600 * 2

Kurt = 720

Maria = \frac{1}{5} * 3600

Maria = 720

<em>Hence, Kurt and Maria are correct because of option (d)</em>

7 0
3 years ago
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