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hammer [34]
3 years ago
6

A pie costs $12.55. If it has a diameter of 12 inches what is the cost per square inch of the pie.

Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

The cost per square inch of the pie is $0.111 or 11 cents

Step-by-step explanation:

The shape of a pie is circular.

The area of a circle (pie) = πr²

From the question ,

Diameter = 12 inches

Radius = Diameter/2

Radius = 12 inches/2

Radius = 6 inches.

Hence, the area of the pie = π × 6²

= 113.09733553 square inches

A pie costs $12.55

The cost per square inches of the pie is calculated as:

113.09733553 square inches = $12.55

1 square inch = $x

Cross Multiply

113.09733553x = $12.55

x = $12.55/113.09733553

x = $0.1109663631

Approximately

x = $0.111

Therefore, the cost per square inch of the pie is $0.111 or 11 cents

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The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a
posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find the value of x such that the probability is 0.2

P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2  

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

\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532  

Thus,

P_{20}=155.4532

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0
3 years ago
The formula for finding the number of bacteria present is given by P=P0(10)t where P is the final population, P0 is the initial
frozen [14]

Answer:

5.45 hours.

Step-by-step explanation:

The formula =

P = P0(10)t

In this circumstance, P0 = 275, P = 15,000 and t = ?

Applying the values into the formula:

P = P0(10)t

15,000 = 275 × (10) × t

15,000 = 2750t

t = 15,000/2750

t = 5.45 hours

3 0
2 years ago
I need your Help, please!<br> THX:)
USPshnik [31]
450 miles
1 in. Per 60 miles
460/60 = 7.5 inches
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2 years ago
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A distance travaled by train in three hours with a constant speed of r miles per hour
True [87]

The distance travelled by the train with constant speed of r miles will be 3r.

<h3><u>What is Speed?</u></h3>
  • The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities.
  • One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
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We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

Know more about Speed with the help of the given link:

brainly.com/question/6280317

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5 0
2 years ago
What's 300000+49498383837?
tatuchka [14]
49498683837. To work these questions out, use column addition, it is a quick and simple way to add large numbers.

8 0
3 years ago
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