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Rufina [12.5K]
3 years ago
14

Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a

nd traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled.
Write an equation that can be used to solve the value of x.
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer:

Y=496x+8

Step-by-step explanation:

496 per hour, plus 8 oclock the time they left

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DENIUS [597]

- 3 + 3x = 2x – 13

Bring -3 to the right side of the equation by adding 3 to both sides

(- 3 + 3) + 3x = 2x – 13 + 3

0 + 3x = 2x - 10

3x = 2x - 10

Bring 2x to the other side by subtracting 2x to both sides

3x - 2x = 2x - 2x - 10

x = -10

Check:

-3 + 3(-10) = 2(-10) - 13

-3 + (-30) = -20 - 13

-33 = -33

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3 years ago
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3 years ago
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Find the Dot Product if u=8i-7j and v=3i-4j?
Feliz [49]

Answer:

52

Step-by-step explanation:

If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:

u.v=(a1,b1).(a2,b2)

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4 0
3 years ago
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their wate
Anon25 [30]

Answer:

The margin of error (E)  =0.49

Step-by-step explanation:

Given,

 mean \bar{x}=6.88

 standard deviation \sigma=1.90

 sample size n=41

90\% \quad \text{confidence interval}

Critical value =\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]  

                                                =1-0.90

                                        \Rightarrow \alpha=0.1

Critical value =\frac{z_{0.1}}{2}

                      =z_{0.05}

                      =1.645

The margin of error (E)  =\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }

                                       =1.645\times\frac{1.90}{\sqrt{41} }

                                       =0.49

Hence, The margin of error (E) =0.49

Complete question is attached in below.

                     

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3 years ago
What number between 30 and 40 has only one and itself as factors?
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The numbers between 30 and 40 whose only factors are one and themselves, also called prime numbers, are 31 and 37.<span> Prime numbers are useful in generating numerical passwords or codes that are difficult to crack. so A) is the answer
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