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2 years ago

A fence is 10 ft wide by 10 ft long. If posts are placed 2 feet apart how many posts are needed?

1 answer:

6 0

There are 10 feet of posts on each side. That means there are 40 feet of fencing in total. If you divide that by two (to represent posts being 2 feet apart) then you get 20. There are 20 posts needed.

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Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find ho

kobusy [5.1K]

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

6 0

3 years ago

Find the arc length of the partial circle.

Maru [420]

Answer:

$11$

Step-by-step explanation:

$\frac{90}{360} \times 2 \times \pi \times 7 \\ \frac{1}{4} \times 2 \times \frac{22}{7} \times 7 \\ = 11$

4 0

3 years ago

Read 2 more answers

Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

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.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

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

We want $P(X \geq 1)$ . Then

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

In which

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

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Help please! the graph below

Rom4ik [11]

Answer:

The constant of proportionality is basically just the slope, so the answer is 1/6.

Step-by-step explanation:

Count how many Y units it goes up to get the the black point from (0,0) (the origin). You go up 1 unit to go 6 units to the right meaning the slope is 1/6.

That is the rise over run technique and there are many others, such as point slope form, and y2-y1 over x2-x1.

Hope this helps!

3 0

3 years ago

The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?

nikdorinn [45]

Answer:

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

4 0

3 years ago