Every time x is added by one, y is added by three.
Answer:
it is irrational
Step-by-step explanation:
A rational number is one that can be written as n/m, where n and m are both integers.
Let a be a rational number such that a=n/m
Let b be a rational number such that b=p/q.
Notice n,m, p, and q are all integers.
When we divide a by b, a/b=(n/m)/(p/q)
But we know that complex fractions can be simplified by multiplying the numerator by the denominator.
a/b=(n/m)*(q/p)=nq/mp.
One of the properties of integers is closure under multiplication: that is to say, the product of integers is always an integer. So nq and mp are both integers.
By the definition of rational numbers nq/mp is a rational number. Therefore, a/b is a rational number.
Answer:
No. Operations manager cannot conclude that his mail-order business is achieving its goal.
Step-by-step explanation:
We make hypothesis test about the manager's assuption:
Null hypothesis, : Average number of days to fill customers' orders is six or less
Alternate Hypothesis: : Average number of days to fill customers' orders is more than six.
According to the null hypothesis we assume number of days to fill customers' orders follows a normal distribution with mean 6 and standard deviation 1.5. We would test if the sample mean is in the critical field or not in the given significance level.
One tailed critical value for the significance level 0.025 is 1.96. We'll compare this value with the z-score of the sample mean 6.65, which is calculated as:
z= ≈ 2.74 where
- 6,65 is the sample mean
- 6 is the null hypothesis
- 1.5 is the standard deviation
- 40 is the sample size
Since 2.74>1.96, we can conclude that sample mean is in the critical region, we reject the null hypothesis.
Therefore operations manager can conclude that average number of days to fill customers' orders is more than 6 days.
Answer: None of the above.
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Explanation: At this very moment that I submit this answer, the question given consists SOLELY of the following text:
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<span>"Determine which two values the following expression is between.
√37"
</span>___________________________
Furthermore, At this very moment that I submit this answer, the answer choices given consist solely of the following (there are no updates, comments, etc.):
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"<span>A. 7 and 8
B. 5 and 6
C. 4 and 5"
</span>________________
Note, the square root of 36; or √36, is 6. The square root of 49, or <span>√49, is 7.
</span>So, <span>√37 is going to be very close to "6", and a LITTLE bit more than "6" but not much more." It will be a LOT LESS than "7".
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So Answer choice [B]: between 5 and 6 is incorrect; it will be a bit over "6".
So Answer choice [C]: between 4 and 5 is incorrect. Again, it will be over "6".
Answer choice [A]: between 7 and 8 is incorrect. It will be much a bit over "6"—but much lower than "7".
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If there were an answer choice, "between 6 and 7", then that would be correct.</span>
Answer:
The answer is 686 but I coukd be wrong.