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Free_Kalibri [48]
2 years ago
14

Complete these ordered pairs for this equation. (0, ), (-1,), (1, ) y=2x+1 Help

Mathematics
1 answer:
N76 [4]2 years ago
7 0

Answer:

(0, 1)

(-1, -1)

(1,3)

Step-by-step explanation:

Given the function;

y = 2x + 1

when x = 0

y = 2(0)+1

y = 1

Hence the required pair is (0, 1)

when x = -1

y = 2(-1) + 1

y = -2 + 1

y = -1

Hence the coordinate is (-1, -1)

when x = 1

y = 2(1) + 1

y = 2 + 1

y =3

Hence the coordinate is (1, 3)

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Lcm of 3x^(2) and 10
Ahat [919]

Answer:

the least common multiple is 18

Step-by-step explanation:

7 0
3 years ago
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

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

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

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

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

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

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

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

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

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

8 0
2 years ago
A construction crew has just finished building a road. The crew worked for 8 days. If they built 2 1/6 kilometers of road each d
Luba_88 [7]

Answer:

13km

Step-by-step explanation:

Given data

Time= 8 days

Speed= 2 1/6 kilometers per day = 13/6 kilometers per day

Distance= ??

We know that

Speed= distance/time

therefore, Distance= speed*time

substitute

Distance= 13/6*8

Distance= 104/8

Distance= 13 km

Hence the crew did 13km

4 0
2 years ago
Solve the simultaneous equation<br> 4x-y=9 <br> 2x-3y= -23
MrMuchimi

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

4 0
2 years ago
7/4x-5 + 2y - 3.5 + -1/4x + 5
romanna [79]
-7/4+2y+1/4x is the answer
5 0
3 years ago
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