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3 years ago

The sum of 3 consecutive even numbers is 42.Find the largest number.

2 answers:

algol133 years ago

6 0

Let the smallest number among them is n then next two consecutive even terms are: n+2 and n+4

The sum of numbers is 42, so:

↪n+n+2+n+4=42
↪3n+6=42
↪3n=42-6
↪n=36/3
↪n=12

The largest among these numbers is :
n+4
=12+4
=16↪Answer

Tom [10]3 years ago

6 0

<u>Define x:
</u>
Let the smallest number be x
The other 2 numbers are x+2 and x+4

<u>Construct Equation:
</u>
Sum of the numbers is 42
⇒x + (x + 2) + (x + 4) = 42

<u>Solve for x:
</u>
x + (x + 2) + (x + 4) = 42

Remove brackets:
x + x + 2 + x + 4 = 42

Combine like terms:
3x + 6 = 42

Subtract 6 from both sides:
3x = 36

Divide both sides by 3:
x = 12

<u>Find largest number:
</u>
The largest number = x + 4 = 12 + 4 = 16

Answer: The largest number is 16.

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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that $\sigma = 0.21$

Sample of 450:

This means that $n = 450$

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.21}{\sqrt{450}}$

$M = 0.01$

The margin of error is of 0.01.

4 0

3 years ago

2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt

fenix001 [56]

Answer:

P = 1/(sqrt(4)) and w = 1/(sqrt(9))

Step-by-step explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

$\dfrac{1}{\sqrt{4}}+\dfrac{1}{\sqrt{9}}=\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{5}{6}\quad\text{a rational number}$

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3 years ago

How do you move 0.167 to 2 decimal places

Simora [160]

Answer:

Two Decimal Places Rule #1: If the last digit in 0.167 is less than 5, then remove the last digit. Two Decimal Places Rule #2: If the last digit in 0.167 is 5 or more and the second to the last digit in 0.167 is less than 9, then remove the last digit and add 1 to the second to the last digit.

Step-by-step explanation:

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2 years ago

Read 2 more answers

The grid below shows figure Q and its image figure Q' after a transformation:

Masteriza [31]

<h3>Answer: choice B) counterclockwise rotation of 90 degrees around the origin</h3>

To go from figure Q to figure Q', we rotate one of two ways

* 270 degrees clockwise

* 90 degrees counterclockwise

Since "270 clockwise" isn't listed, this means "90 counterclockwise" is the only possibility.

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