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igomit [66]
3 years ago
12

The expression 100−2.5x represents the balance of Grace’s lunch account after x days. The expression 100+2.5(5−x) represents the

balance of Tim’s lunch account after x days. After how many days do the lunch accounts have the same balance?
Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

Step-by-step explanation:

That means that the given expressions are equal.

100 - 2.5x = 100 + 2.5(5 - x)

100 - 2.5x = 100 + 12.5 - 2.5x

There is no solution to this.

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2 years ago
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const2013 [10]
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3 years ago
1/3 of Murka’s age is twice as much as Ivan’s age. What is the ratio of Murka’s age to Ivan’s age?
Korvikt [17]

Answer:

6:1

Step-by-step explanation:

4 0
3 years ago
Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
The sum of the residuals should always be 0 because the predicted values should be that close to the actual values.
kow [346]

Answer: True

Step-by-step explanation:

The sum of the residuals is always 0 so the plot will always be centered around the x-axis. An outlier is a value that is well separated from the rest of the data set. An outlier will have a large absolute residual value.

7 0
3 years ago
Read 2 more answers
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