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4 years ago

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UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

additional pound. Let p represent the number of pounds. How many pounds will it take for UPS and FedEx to cost the same? Explain.
Write an equation and solve (hint: since it is asking you about costing the same, think about what goes on either side of the equals sign).

(please answer soon, this is due today)

2 answers:

Digiron [165]4 years ago

5 0

7+0.20x = 5+ 0.30x
x- number of additonal pounds

damaskus [11]4 years ago

3 0

Answer:

The answer is 20 pounds.

Step-by-step explanation:

Let p represent the number of pounds.

UPS charges $7 for the first pound, and $0.20 for each additional pound.

$7+0.20p$

FedEx charges $5 for the first pound and $0.30 for each additional pound.

$5+0.30p$

To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations.

$7+0.20p=5+0.30p$

=> $7-5=0.30p-0.20p$

=> $2=0.10p$

=> p = 20

Hence, it will take 20 pounds to make both equal.

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The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probabi

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Answer:

a. 0.443

b. 0.023

Step-by-step explanation:

Problems of normal distributions 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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.

This means that $\mu = 22, \sigma = 5$

a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.

This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So

X = 26

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

$Z = \frac{26 - 22}{5}$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.788

X = 20

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

$Z = \frac{20 - 22}{5}$

$Z = -0.4$

$Z = -0.4$ has a pvalue of 0.345

0.788 - 0.345 = 0.443

The answer is 0.443

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This is the pvalue of Z when X = 12. So

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

$Z = \frac{12 - 22}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.023

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marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

That means reflection about the x-axis change the sign of y

y = f(x) → reflection about x-axis → y = -f(x)

If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

That means reflection about the y-axis change the sign of x

y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

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