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lara [203]
3 years ago
10

A 15-inch candle is lit and burns at a constant rate of 1.6 inches per hour.

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

c = 15: The height of candle is 15 inches when it is not lit.

m = -1.6: The height of candle decreases 1.6 inches for every hour it is lit.

Step-by-step explanation:

We are given the following in the question:

Height of candle = 15 inches

f (t) = 15 - 1.6 t

This function gives the length of the candle in inches left after it was burn for t hours.

Comparing the given equation to a linear equation, we have:

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we, get

m = -1.6 and c = 15

Interpretation:

c = 15 mean the y-intercept is 15 that is he value of function when t = 0, thus, the height of candle is 15 inches when it is not lit.

m = -1.6 is the rate of change of the function when t increases by 1 unit that is the height of candle decreases 1.6 inches for every hour it is lit.

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Answer:

300

Step-by-step explanation:

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3 years ago
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A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.
KonstantinChe [14]

Answer:

0.998 is the probability that the average money spent by  a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

We have to find:

P( average money spent is within $10 of the actual population mean.)

= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)

Calculation the value from standard normal z table, we have,  

P(z \leq 2.94) = 0.998

6 0
3 years ago
5 of 10
horrorfan [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Been stuck on these last 2 questions. can anybody help? thanks in advance!
Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0
1 year ago
Use the distributive property to rewrite the expression and solve.<br><br> 8 63 = 8 + 8 3 =
Mariana [72]
8 * 63 = 8 * ? + 8 * 3 = ?

Okay, so we have 8 * 63, and it is broken down to 8 * ? + 8 * 3.

63 - 3 = 60, so our number should be 60.

8 * 63 = 8 * 60 + 8 * 3 = ?

To find the last number, we can just multiply 8 * 63, which is 504.

8 * 63 = 8 * 60 + 8 * 3 = 504
6 0
3 years ago
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