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3 years ago

The arithmetic mean of two numbers is 18 and the geometric mean is 16. find the sum of squares of the numbers

1 answer:

6 0

X+y=36
xy=256

x=256/y
256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

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A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

$P_{2} = 0.5*0.8 = 0.40$

$P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85$

There is an 85% probability that the sprinkler head will be activated.

6 0

3 years ago

Solve for x.<br> *x+3x+4=3+3

Bingel [31]

Answer:

x+3x+4=3+3 → x= $\frac{1}{2}$

Step-by-step explanation:

x+3x+4=3+3

4x+4=6

4x=2

x= $\frac{1}{2}$

7 0

3 years ago

Please help me solve problem 8

mixas84 [53]

The answer is A because when a question asks how much is left it typically means that you will need to subtract.

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3 years ago

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What is in between 0.8 and 0.9

Fantom [35]

0.85 is between 0.8 and 0.9

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3 years ago

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Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he re

finlep [7]

Answer:

18.3

Step-by-step explanation:

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3 years ago