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Leviafan [203]
4 years ago
8

Solve for x. −23(3x−4)+3x=56

Mathematics
2 answers:
Neporo4naja [7]4 years ago
7 0
Open bracket
-69x+92+3x=56
Collect like term
-66x=-36
Divide both side by -66
x=6\11
solniwko [45]4 years ago
7 0

Answer: 6/11

Step-by-step explanation:

Open bracket

-69x+92+3x=56

Collect like term

-66x=-36

Divide both side by -66

x=6\11

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Read 2 more answers
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
Doss [256]

Answer:

Using the Empirical Rule, we find that .997 (99.7%) of students have grade point averages that are between 1.23 and 3.81.

Step-by-step explanation:

Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.

  • \displaystyle z=\frac{1.23-2.52}{.43} = \frac{-1.29}{.43}= -3
  • \displaystyle z=\frac{3.81-2.52}{.43}= \frac{1.29}{.43}  =3

We want to find the area between the z-scores of -3 and 3.

The <u>Empirical Rule</u> tells us that 99.7% of the data lies <em>within three standard deviations</em> under the normal curve.

Therefore, the <u>area</u> between <em>-3 < z < 3</em> is about <u>.997</u>, or around <u>99.7%</u>.

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