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2 years ago

A rectangle has perimeter 182 in. and length 52 in. What is the width

Mathematics

2 answers:

IgorC [24]2 years ago

8 0

Answer:

the width is 39 in

Step-by-step explanation:

length is 52. there are two "length" sides witch = 104

the perimiter is all sides added. 182-104= 78

78= both of the width sides so 78 divide by 2 = 39in

Degger [83]2 years ago

4 0

Answer:

the width is 3.5 in.

Step-by-step explanation:

u get it by dividing 182 in and 52 in and u get 3.5 In

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

$\Delta P=2134-1431\Rightarrow\Delta P=703$

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

$P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5$

$\Rightarrow P_{2014}\approx3890$

So, there will be approximately 3890 people of the town in 2014.

3 0

1 year ago

Anyone know how to do this?

Finger [1]

Answer:

X = 2

Step-by-step explanation:

3 0

2 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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 interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

Which point on the number line below represents a value of 0.75?

prohojiy [21]

Answer:

Point C

Step-by-step explanation:

Each of the lines are counted by 5 and if counting carefully, C would be 0.75, or, 3/4

5 0

3 years ago

Read 2 more answers

Eugene noticed the temperature had dropped by 8 degrees from 17. What was the new temperature?

zubka84 [21]

Answer:

9 degrees

Step-by-step explanation:

given:

Initial temperature : 17 degrees

temperature change = reduction by 8 degrees (i.e - 8 degrees)

hence the final temperature

= initial temperature + temperature change

= 17 + (-8)

= 17 - 8

= 9 degrees

8 0

3 years ago