Simplify an expression

Find the approximate value of the circumference of a circle with the given radius. use = 3.14. round your results to one more de

sveta [45]

The circumference of the circle is about 25.12 inches. Hope it help!

4 0

3 years ago

Answer number one asap this is not a joke so please not random cmts thx will report if u do!

STALIN [3.7K]

1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2

Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection

2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2

Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2

Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2

8 0

3 years ago

How many 1/2 foot pieces can be cut from 6 foot ribbon?

MatroZZZ [7]

Number of ribbons that can be cut = 6 ÷ 1/2
Number of ribbons that can be cut = 6 x 2/1
Number of ribbons that can be cut = 12

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Answer: 12 1/2 foot pieces can be cut from 6 feet ribbon
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8 0

3 years ago

2.

iren [92.7K]

Answer:

Part A: The price of fuel A is decreasing by 12% per month.

Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

Part A:

The function $f(x)=2.27(0.88)^x$ calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month price, f(x)

1 2.27 (0.88) = 1.9976 ≈ 2.00

2 2.27(0.88)² = 1.59808 ≈ 1.60

3 2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

Part B.

Table:

m price, g(m)

1 3.44

2 3.30

3 3.17

4 3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96

ratio = 3.17 / 3.30 = 0.960 ≈ 0.96

ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

5 0

3 years ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$