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Margarita [4]
2 years ago
11

A wooden stick that was feet long was cut into 7 pieces of equal length. How long was each piece?

Mathematics
1 answer:
GREYUIT [131]2 years ago
7 0
You forgot to put how long the original stick is
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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi
Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
Use the product to sum formulas to write the product as a sum or difference
alina1380 [7]
Ok can you please show the formula or give more information please
6 0
3 years ago
I need this answer as soon as possible
wel

The perimeter is the distance all the way around. So it's the sum of the lengths of all 4 sides.

From the picture, you can clearly see the lengths of all 4 sides.

Writum down and adum up !

3 0
2 years ago
Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showi
Westkost [7]

Answer:

0.1\frac{}{6}

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e \frac{1}{6} = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e \frac{1}{6} = 0.1\frac{}{6}

Note that \frac{}{6} has expressed that the division has 6 as the repeating digit in the decimal number.

4 0
3 years ago
Pls fast,i need it<br> ..............................
Ghella [55]

Answer:

hints to solve each. partial answer due to lack of time, hope it helps!

Step-by-step explanation:

1)

a) solve ():

5 \sqrt{3} + 7 \sqrt{3} - 9 \sqrt{3} - 6 \sqrt{3} + 12 \sqrt{3} - 10 \sqrt{3} =

\sqrt{3} . (5 +7-9-6+12-10)

b) use \sqrt{6\\} = \sqrt{3\\}\\\\\sqrt{2\\}\\\\

c) use \sqrt{20\\} = \sqrt{4\\}\\\\\sqrt{5\\}\\\\ = 2\sqrt{5\\}\\\\

use \sqrt{8\\} = \sqrt{4\\}\\\\\sqrt{2\\}\\\\ = 2\sqrt{2\\}\\\\

2)

a) use \sqrt{30\\} = \sqrt{6}\sqrt{5}

use \sqrt{30\\} = \sqrt{6}\sqrt{4} = 2\sqrt{6}

6 0
2 years ago
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