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AleksandrR [38]
4 years ago
6

3(5)^(x-4)+8=100 Please help me to understand how to solve this!

Mathematics
1 answer:
Mkey [24]4 years ago
8 0
Okay so first you have to simplify the problem so that would be
15^(x-4)+8=100

Okay so know that it's simplified now you need to do the distributive property.

So it would be
15x-60+8=100

Now subtract 8 from 100

15x-60=92

Now you add 60 to 92

15x=152

Now dive 152 by 15 and that is your answer

X=10.133
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svetoff [14.1K]

Answer:

6.7%  of employees at Solar Systems, Inc. are younger than 30 years old

Step-by-step explanation:

The mean of  ages of the employees at Solar Systems is 32.7 years

Mean = \mu = 32.7

Standard deviation =\sigma = 1.8 years

We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)

So,Z=\frac{x-\mu}{\sigma}

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Z=-1.5

Refer the z table for p value

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So, 6.7%  of employees at Solar Systems, Inc. are younger than 30 years old

7 0
3 years ago
According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th
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Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

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Standard deviation, \sigma = 2.8 million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})

P(X\geq 15) = P(Z \geq 1.178)

P(X\geq 15) = 1 - P(Z < 1.178)

Using the Z score table:

P(X\geq 15) = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(Z < - 0.86) - P(Z < - 1.96)

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Answer:

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Step-by-step explanation:

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Answer:

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sin e a pair is 2 shoes,

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