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Natasha2012 [34]
3 years ago
14

Simplify the expression. (–h4)5

Mathematics
2 answers:
sveta [45]3 years ago
4 0
-20h

unless i'm missing something.
katrin [286]3 years ago
4 0

Answer:

-h^20

Hope this help ! !

{ If so mark brainliest I'd appreciate it ;) }

- Nahannah Muhammad

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TiliK225 [7]

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Random sample = 64/400 = 16 % of the total population.

Seriously I dont know the answer to the problem, but it is an interesting question, and it forces me to study probability more. 

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What is the equation of the bold line on the coordinate grid?
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.....the answer is y=3
8 0
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If C (x) = 65x + 850 and R(x) = 100x<br> find: C (500)
natali 33 [55]

Step-by-step explanation:

C(500)=65×500+850

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8 0
3 years ago
Convert the recursive equation that is below into an explicit equation where a is the initial value and the time elapsed is 1 ye
aleksley [76]

Answer:

  f(n) = a+200(n -1)

Step-by-step explanation:

The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...

 an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...

  an = a + 200(n -1)

Written as a function of n, this is ...

  f(n) = a + 200(n -1)

_____

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8 0
3 years ago
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
Anna [14]

Answer:

a) 0.4452

b) 0.0548

c) 0.0501

d) 0.9145

e) 6.08 minutes or greater

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.7 minutes

Standard Deviation, σ = 0.50 minutes.

We are given that the distribution of length of the calls is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(calls last between 4.7 and 5.5 minutes)

P(4.7 \leq x \leq 5.5) = P(\displaystyle\frac{4.7 - 4.7}{0.50} \leq z \leq \displaystyle\frac{5.5-4.7}{0.50}) = P(0 \leq z \leq 1.6)\\\\= P(z \leq 1.6) - P(z

P(4.7 \leq x \leq 5.5) = 44.52\%

b) P(calls last more than 5.5 minutes)

P(x > 5.5) = P(z > \displaystyle\frac{5.5-4.7}{0.50}) = P(z > 1.6)\\\\P( z > 1.6) = 1 - P(z \leq 1.6)

Calculating the value from the standard normal table we have,

1 - 0.9452 = 0.0548 = 5.48\%\\P( x > 5.5) = 5.48\%

c) P( calls last between 5.5 and 6 minutes)

P(4.7 \leq x \leq 5.5) = P(\displaystyle\frac{5.5 - 4.7}{0.50} \leq z \leq \displaystyle\frac{6-4.7}{0.50}) = P(1.6 \leq z \leq 2.6)\\\\= P(z \leq 2.6) - P(z

P(5.5 \leq x \leq 6) = 5.01\%

d) P( calls last between 4 and 6 minutes)

P(4 \leq x \leq 6) = P(\displaystyle\frac{4 - 4.7}{0.50} \leq z \leq \displaystyle\frac{6-4.7}{0.50}) = P(-1.4 \leq z \leq 2.6)\\\\= P(z \leq 2.6) - P(z

P(4 \leq x \leq 6) = 91.45\%

e) We have to find the value of x such that the probability is 0.03.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 4.7}{0.50})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 4.7}{0.50})=0.03  

=P( z \leq \displaystyle\frac{x - 4.7}{0.50})=0.997  

Calculation the value from standard normal z table, we have,  

P(z < 2.75) = 0.997

\displaystyle\frac{x - 4.7}{0.50} = 2.75\\x = 6.075 \approx 6.08  

Hence, the call lengths must be 6.08 minutes or greater for them to lie in the highest 3%.

8 0
3 years ago
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