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qaws [65]
2 years ago
15

y + 3 = 2x. y + 4 = 3x. If you use the comparison method to solve the given system, what is the resulting equation?. A] y + 3 =

y + 4. B] 2x - 3 = 3x - 4. C] 2x + 3 = 3x + 5
Mathematics
2 answers:
Firdavs [7]2 years ago
8 0
Y+3 = 2x
y = 2x-3 

y+4 = 3x
y = 3x-4

therefore, 2x-3 = 3x-4
answer is B
marissa [1.9K]2 years ago
8 0
Y=2x-3 by arranging 
and y= 3x-4 
so it shows that y= 2x-3 and 3x-4 so these both values are same we supposed because both are equal to y. so option b is correct
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The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n
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Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

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After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so \mu = 49.9, \sigma = 3.74.

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when Z = 1.04, \mu = 49.9, \sigma = 3.74.

So

Z = \frac{X - \mu}{\sigma}

1.04 = \frac{X - 49.9}{3.74}

X - 49.9 = 3.8896

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The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

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2 years ago
A university surveyed recent graduates of the English department for their starting salaries. Four hundred graduates returned th
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Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean salary of all graduates from the English department.

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For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

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It becomes

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= 25000 ± 1.96 × 125

= 25000 ± 245

The lower end of the confidence interval is 25000 - 245 =24755

The upper end of the confidence interval is 25000 + 245 = 25245

Therefore, with 95% confidence interval, the mean salary of all graduates from the English department is between $24755 and $25245

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Answer:

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The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
Amiraneli [1.4K]

Answer:

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When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

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