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Elis [28]
4 years ago
13

Write an expression with (-1) as its base that will produce a positive product

Mathematics
1 answer:
Nataly_w [17]4 years ago
3 0

The expression with '-1' as its base that will produce a positive product is

(-1)^{2n} , where n is a natural number.

If we take n=1, we get (-1)^{2n}=(-1)^{2 \times 1}= 1 which is positive.

If we take n=2, we get (-1)^{2n}=(-1)^{2 \times 2}= 1 which is also positive.

Similarly if we take any natural number in this expression, it will give a positive product.

Hence, (-1)^{2n} is the required expression.

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A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of ^8C_3 possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

P(S) = \dfrac{ (^1_1) (^7_2)   }{   ^8_3 }

P(S) = \dfrac{21}{56}

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0
3 years ago
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. If it continues to snow at the same
Korvikt [17]

Answer:

13 inches of snow

Step-by-step explanation:

4 0
3 years ago
A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i
Alex_Xolod [135]
For this we almost have the following equation:
 h = -16t ^ 2 + 25

 We must match the equation to zero:
 -16t ^ 2 + 25 = 0

 From here, we clear the value of t.
 We have then:
 16t ^ 2 = 25

t ^ 2 = 25/16
 We discard the negative root because we are looking for time:
 t =  \sqrt{ \frac{25}{16} } 


 t =  \frac{5}{4}
 Answer:
 
it will take him to reach the ground about:
 
t = \frac{5}{4} seconds
5 0
3 years ago
A person invest 7500 dollars in a bank. The bank pays 6 interest compounded semi-annually. To the nearest tenth of a year,how lo
Kamila [148]

Answer:

Step-by-step explanation:

I clicked see solution

T=5 years

6 0
3 years ago
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
blsea [12.9K]

Answer:

The lines are parallel

Step-by-step explanation:

x - y = 2

Solving for y

-y = -x+2

y = x -2

And the other equation is

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These are both in slope intercept form

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That means the lines are parallel, but have different y intercepts

8 0
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