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GarryVolchara [31]
4 years ago
6

Students made 7 art posters that were hung along a hallway that is 4.4 m long. The posters are 0.2 m apart and the first and las

t posters are 0.2 m from the ends of the hallway. How many meters wide was each poster?
Mathematics
1 answer:
emmainna [20.7K]4 years ago
4 0

To answer this question, we pose the problem as follows:

It is known that there are 7 posters and between them there is 0.2 meters of separation, we also know that between the beginning of the corridor and the first poster of 0.2 meters, and between the last poster and the end of the corridor there is 0.2 meters from separation . That is, there is a total of 8 separations of 0.2 meters in the corridor.

This is the real length of the corridor occupied by the posters.

4.4-8(0.2)\\

So, if we call x the length of the posters, we can write the following equation for x

x =\frac{4.4-8(0.2)}{7}\\

x = 0.4 meters\\

Then the length of the posters is 0.4 meters

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Answer: 11 party bags with 1 sticker leftover

Each bag contains 4 bubbles, 8 stickers, and 5 pencils.

<u>Step-by-step explanation:</u>

Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)

44: 2 x 2 x <u>11</u>

89: prime so choose 88 with 1 leftover

88: 2 x 2 x 2 x <u>11</u>

55: 5 x <u>11</u>

GCF = 11

Disregard the GCF to see how many of that item should go in each bag.

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What is the equation of the circle with center (4, 4) that passes through the point (10, 14)? HELP MEEEEE PLEASE
Gemiola [76]

Answer:

The equation of the circle can be written as:

  • \left(x-4\right)^2+\left(y-4\right)^2=136

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r is:

\left(x-h\right)^2+\left(y-k\right)^2=r^2

In our example, we know \left(h,k\right)=\left(4,4\right), as we just have to make sure we need determine \:r^2.

\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:

\left(10-4\right)^2+\left(14-4\right)^2=r^2

\mathrm{Switch\:sides}

r^2=\left(10-4\right)^2+\left(14-4\right)^2

r^2=6^2+10^2

r^2=36+100

r^2=136

Thus the equation of the circle can be written as:

\left(x-4\right)^2+\left(y-4\right)^2=136

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Answer:

P(Atleast\ 1) = 0.9999992

Step-by-step explanation:

Given

p = 3\% --- rate of hard disk drives failure

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<em>See comment for complete question</em>

Required

P(Atleast\ 1)

First, calculate the probability that the none of the 4 selected is working;

P(none) = p^4

P(none) = (3\%)^4

P(none) = (0.03)^4

Using the complement rule, the probability that at least 1 is working is:

P(Atleast\ 1) = 1 - P(none)

This gives:

P(Atleast\ 1) = 1 - 0.03^4

P(Atleast\ 1) = 0.9999992

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