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Lana71 [14]
3 years ago
15

Please help me solve x-6=-4x-11

Mathematics
1 answer:
labwork [276]3 years ago
8 0

Answer:

<h2>-1  2/3</h2>

Step-by-step explanation:

x-6=-4x-11

+x     +x

-6=-3x-11

+11     +11

5=-3x

________

-3  -3

x=-1.66 or about -1  2/3

<em>PLEASE MARK BRAINLIEST</em>

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Suppose that the pH of soil samples taken from a certain geographic region is normally distributed with a mean pH of 7 and a sta
Otrada [13]

Answer:

a) P=0

b) P=1

c) P=0

d) X=7.1645

Step-by-step explanation:

We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.

a) What is the probability that the resulting pH is between 5.90 and 6.15?

We calculate the z-score for this 2 values, and then compute the probability.

z_1=(X_1-\mu)/\sigma=(5.9-7.0)/0.1=-11\\\\z_2=(X_2-\mu)/\sigma=(6.15-7)/0.1=-8.5

Then the probability is

P(5.90

b) What is the probability that the resulting pH exceeds 6.10?

We repeat the previous procedure.

z=(6.10-7)/0.1=-9\\\\P(x>6.1)=P(z>-9)=1

c) What is the probability that the resulting pH is at most 5.95?

z=(5.95-7)/0.1=-10.5\\\\P(x

d. What value will be exceeded by only 5% of all such pH values?

We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.

In the standard normal distribution, it happens for a z=1.645.

P(z>1.645)=0.05

Then, we can calculate the pH as:

x=\mu+z\sigma=7.0+1.645*0.1=7.0+0.1645=7.1645

4 0
3 years ago
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