What is the interval notation for -3<x<4

The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.

Andru [333]

Answer: 70.74

Step-by-step explanation:

A Nonagon has 9 equal sides, and each side of the given is 7.86

So 7.86 multiplied by 9 is 70.74

3 0

3 years ago

A flower box is 3 ft. Long, 2 3/4 ft. Wide, and 1/2 ft. Deep. How many cubic feet of dirt can it hold? A. 4 1/8 B. 5 3/4 C. 6 1/

pochemuha

Answer:

The box can hold 4 1/8 cubic feet of dirt

Step-by-step explanation:

What we simply have to find here is the volume of dirt it can take

To get this, we have to multiply the dimensions of the box

We have this as follows

Volume or box = length * width * height

Volume of box = 2 3/4 * 1/2 * 3

Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet

5 0

3 years ago

Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th flo

weeeeeb [17]

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

5 0

3 years ago

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

Aleks [24]

Answer:

0.599 is the probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

We are given the following in the question:

The number of typing errors made by a typist has a Poisson distribution.

$\lambda =7$

The probability is given by:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

We have to find the probability that a randomly selected page does not need to be retyped

P(less than or equal to 7 mistakes in a page)

$P( x \leq 7) = P(x =1) + P(x=1) +...+ P(x=6) + P(x = 7)\\\\= \displaystyle\frac{7^0 e^{-7}}{0!} + \displaystyle\frac{7^1 e^{-7}}{1!} +...+ \displaystyle\frac{7^6 e^{-7}}{6!} + \displaystyle\frac{7^7 e^{-7}}{7!} \\\\= 0.59871\approx 0.599$

Thus, 0.599 is the probability that a randomly selected page does not need to be retyped.

4 0

3 years ago

Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set

Gnom [1K]

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

x - y = 12000....…....... equation (1)

x + y = 50,000...…....... equation (2)

By solving the system of equations simultaneously;

2x = 62000

x = 31000

and y = 50,000 - 31000

y = 19,000

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.