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3 years ago

Which expression is equal to 6(b + 4)?

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

6b+24
Use the distributive property to solve. Multiply 6 and b for 6b. Multiply 6 and 4 for 24.

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3 years ago

Does the choice of the base affect the area of a parallelogram

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2 years ago

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:

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

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3 years ago

When x = 8, y = 12. Find y when x = 80

gtnhenbr [62]

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5 0

2 years ago

Read 2 more answers

Simplify (2x2 - 5) - (3x2 + 4).

statuscvo [17]

Answer:

-x² - 9 is your simplified form

Step-by-step explanation:

Combine terms with the same amount of variables.

(2x² - 5) - (3x² + 4)

First, distribute the negative sign to all terms within the second parenthesis

(2x² - 5) - 3x² - 4

Combine like terms

2x² - 3x² = -x²

-5 - 4 = -9

-x² - 9 is your simplified form

6 0

3 years ago

Read 2 more answers