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iVinArrow [24]
2 years ago
14

Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that th

e average community pool membership cost consists of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 40. Identify and interpret the y-intercept in this model
Mathematics
1 answer:
Ierofanga [76]2 years ago
7 0

Answer:

The y-intercept is 40.

Step-by-step explanation:

thanks for the points loser

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A 6-meter pole is supported by guy wires that are anchored to the ground as shown. What is sin D?
kap26 [50]

Answer:

0.8941

Step-by-step explanation:

sin D = opp / hyp = 6 m  /  6.71 m  =  0.8941

8 0
2 years ago
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The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.
GREYUIT [131]

Answer:

  • <u>Option A. about 100.5ft²</u>

<u />

Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

        Lateral\text{ }area=2\pi \times radius \times height

Substitute including the conversion factor to convert inches to feet:

        Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2

7 0
2 years ago
There are 28.35 grams in an ounce and 2.21 pounds in a kilogram. Miriam converted 7 kilograms to ounces, but her answer is not c
sergejj [24]

Answer: OPTION C.

Step-by-step explanation:

For this exercise it is important to remember the following:

1\ kilogram=1,000\ grams

Knowing this and based on the information provided in the exercise, you can make the conversion from kilograms to ounces. This is:

(7\ Kg)(\frac{1,000\ gr}{1\ Kg})(\frac{1\ oz}{28.35\ gr})=246.913\ oz

According to the exercise, Miriam's procedure was:

 (7\ Kg)(\frac{1,000\ gr}{1\ Kg})(\frac{28.35\ gr}{1\ oz})= 198,450\ oz

So you can identify that she made a mistake.

Notice that:

1. Miriaim multiplied correctly.

2. Butt the third fraction should be \frac{1\ oz}{28.35\ gr} and not \frac{28.35\ gr}{1\ oz}.

5 0
2 years ago
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categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.
soldier1979 [14.2K]
It is exponential growth
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2 years ago
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For each of the questions below, a histogram is described. Indicate in each case whether, in view of the Central Limit Theorem,
denis-greek [22]

Solution :

a). This histogram is not a bell shaped.

    Here we cannot use the theorem of the central limit as the histogram is being plotted by using 365 samples data values of the one sample.

b). This histogram may be bell shaped approximately since the sample size is large.

   Here there are 50 sample each having a size of 500 and there is 50 sample proportions. The histogram shows sampling distribution of the sample proportion. Thus the central limit theorem can be used.

The histogram is approximately bell shaped as there is 50 samples of each having 500 size and an average of 50. Thus the central limit theorem can be used.

c). The histogram is not a bell shaped.

   In this case central limit theorem cannot be used as the histogram is plotted by using 100 sample data values of one sample.

d). The histogram is a bell shaped since the sample size is large.

   In this case 200 samples  of each having a size of 50 and a data values of 50. The histogram here shows a sampling distribution of the sample proportion. Thus the central limit theorem can be used.

In the second also the histogram is of bell shaped as the sample size is large.

There are 200 samples of each sample having a size of 40 and they have 40 data values , i.e. sum of rolls.

e). It is not a bell shaped.

  The histogram here is plotted using 100 sample data values having one sample. Therefore we cannot use the central limit theorem.

6 0
2 years ago
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