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oksano4ka [1.4K]
2 years ago
9

Fiona wrote the linear equation y = x – 5. When Henry wrote his equation, they discovered that his equation had all the same sol

utions as Fiona’s. Which equation could be Henry’s?
Mathematics
2 answers:
Oliga [24]2 years ago
7 0
His equation could be written in quadratic form, which is ax^2+bx=c                     


AVprozaik [17]2 years ago
6 0

Answer with Step-by-step explanation:

Fiona wrote the linear equation y = x – 5.

Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona’s.

Henry's equation could be any equation which is a constant multiple of Fiona's equation.

i.e. it could be

2y=2(x-5)

i.e. 2y=2x-10

Hence, Henry's equation could be:

2y=2x-10

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The mean preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t
astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

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

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  • s is the standard deviation of the population
  • N is the sample size

a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

b.

z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

  • N is the sample size
  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

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3 years ago
The drama club is showing a video of their recent play.The first showing will begin at 2:30pm.The second showing was scheduled t
Rudiy27
The second showing had begun at 5:25. And there had been a 1/2 hour (30 minutes) break before it. So we substract this break from 5:25 and we get 4:55 - the time when the first showing had ended. 

So the first showing had begun at 2:30 and had ended at 4:55. By substracting 2:30 from 4:55 we get 2:25 - that's the duration of the video.

The answer is 2 hours and 25 minutes.
4 0
2 years ago
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60% of a number is 54. what is 50% of the same ?
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Answer:

The answer is 45.

Step-by-step explanation:

60% of a number is 54, find the original number

54 ÷ 60%

= 54 ÷ 60/100

= 54 * 100/60

= 90

50% of 90 is

90 * 50%

= 90 * 50/100

= 90 * 1/2

= 45

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Answer:

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Step-by-step explanation:

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Answer:I don't know if your answer is there:/ -6.858

Step-by-step explanation:

64.2

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