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hammer [34]
2 years ago
10

Making Consumer Choices

Mathematics
1 answer:
Nostrana [21]2 years ago
8 0
Cool question relying on real life scinarios

A.

1 loaf=inital cost for macine+cost per bread or
number of loaves=x
cost to make=y
y=100+0.8x
so to find 1 loaf, just subsitute 1 for x
y=100+.8(1)
y=100+0.8
y=100.80
1 loaf costs $100.80 to make

B.
start up cost is $100

C. linear equation is
start up cost+cost per loaf times loaf or
y=100+0.8x
in y=mx+b form
y=0.8x+100


C.
to find points, just subsitute values for x and get values for y (I used multiplules of 10 so that you wouldn't have to plot a decimal coordinate)

if we put it 0 for x, we get 100 for y
if we put in 10 for x, we get 108 for y
if we put in 20 for x, we get 116 for y
and of course don't use negative becasue you can't make negative amounts of bread

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Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standar
Leno4ka [110]

The standard deviation is 1.43 below the mean

<h3>How to determine the number of standard deviation?</h3>

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

x = \bar x - n\sigma

So, we have:

97.2 = 98.249 - n * 0.7333

Evaluate the like terms

-1.049  =- n * 0.7333

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

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5 0
1 year ago
Consider the linear equation 2x - 3y = -12 graph the points
levacccp [35]

The graph of linear equation 2x - 3y = -12 is as shown below.

I this question, we have been given a linear equation 2x - 3y = -12

We need to graph the points.

For x = 1,

2(1) - 3y = -12

2 - 3y = -12

-3y = -14

y = 14/3

For x = 0,

2(0) - 3y = -12

y = (-12)/(-3)

y = 4

For x = -1,

2(-1) - 3y = -12

-3y = -12 + 2

y = (-10) / (-3)

y = 10/3

So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)

Now we plot these points.

The graph of linear equation 2x - 3y = -12 is as shown below.

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4 0
1 year ago
Estimate sum 542+328=
Ghella [55]
542 -->  500

328 --> 300

Estimate: 800
8 0
3 years ago
Tom has a 500 gallon pool. He is able to drain it at a rate of 15 gallons per minute.  if the pool still has 170 gallons of wa
Akimi4 [234]

Answer: 22 minutes

Step-by-step explanation: 500-170 means that he drained 330 gallons of water so 330 divided by 15 gallons a minute so you get 22 so it takes 22 minutes to have 170 gallons left in the pool

8 0
3 years ago
Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the
HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0
2 years ago
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