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ollegr [7]
3 years ago
15

The sum of three consecutive even integers is -78, what are the integers ?

Mathematics
1 answer:
Digiron [165]3 years ago
5 0
First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
 1. You have that t<span>he sum of three consecutive even integers is </span>-78<span>, therefore, you can given the variable </span>x&#10;<span> to the first integer, the second even integer is </span>x+2<span> and the third one is </span>x+4&#10;<span>.
 2. Calculate x:
 </span>x+(x+2)+(x+4)=-78<span>
 </span>3x+6=-78
<span> </span>x=-28&#10;<span>
 </span>x+2=-28+2=-26&#10;<span>
 </span>x+4=-28+4=-24&#10;<span>
 Therefore, the answer is:</span>-28,-26,-24&#10;
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5 0
2 years ago
An accounting professor wants to know the average GPA of the students enrolled in her class. She looks up information on Blackbo
olya-2409 [2.1K]

Answer:

a) True

b) Parameter

Step-by-step explanation:

We are given the following in the question:

An accounting professor wants to know the average GPA of the students enrolled in her class.

Population:

  • It is defined as the collection of all variables of interest.
  • A sample of individuals of interest is drawn from a population.

For the given case

Individuals of interest:

Students enrolled in accounting class

Population of interest:

Students enrolled in accounting class

Characteristic of interest:

Average GPA of the students enrolled in her class.

a) The population is all students enrolled in the accounting class.

The given statement is true as it contains all the observation of all the individuals of interest.

b) The computed average GPA of all the students enrolled in the class is 3.29

Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.

Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.

Thus, 3.29 is a parameter.

6 0
4 years ago
What is the length of BC , rounded to the nearest tenth?
Arte-miy333 [17]

Step 1

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

AB^{2} =AD^{2}+BD^{2}

we have

AD=5\ units\\BD=12\ units

substitute the values

AB^{2}=5^{2}+12^{2}

AB^{2}=169

AB=13\ units

Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

\frac{5}{13}=\frac{AB}{AC}

\frac{5}{13}=\frac{13}{AC}

solve for AC

AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

DC=AC-AD

we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

BC=31.2\ units

therefore

<u>the answer is</u>

BC=31.2\ units

8 0
3 years ago
Read 2 more answers
What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) /(x + 1)
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Answer:

all work is shown and pictured

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3 years ago
Oliver draws a line on his paper and from a point on the line draws a circle. He then measures the radius of his circle and cons
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Dye answer is The letter D
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3 years ago
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