Quares and Differences of Squares

Solve the equation <br>8-2x=-8x+14

Marina86 [1]

8 - 2x = -8x + 14 <em>subtract 8 from both sides</em>

-2x = -8x + 6 <em>add 8x to both sides</em>

6x = 6 <em>divide both sides by 6</em>

4 0

3 years ago

Read 2 more answers

As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple

zhenek [66]

Answer:

$P(A')=1-0.411=0.589$

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

$P(A)=\frac{Possible outcomes}{Total outcomes}$

For this case if we replace we got:

$P(A) =\frac{23}{56}=0.411$

And using the complemnt rule we got:

$0.411 +P(A')=1$

And solving for P(A') we got:

$P(A')=1-0.411=0.589$

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0

3 years ago

Knitting: You are knitting a blanket. You want the area of the blanket to be 24ft^2. You want the length of the blanket to be 2

andriy [413]

You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!

Algebraic way to solve using Quadratics:
l = 2 + w

A = lw

A = (2 + w)w Substitute (2 + w) for l

24 = (2 + w)w Substitute 24 in for the area

24 = 2w + w^2 Distribute

w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)

(w + 6) (w - 4) = 0 Factor

w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.

So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.

5 0

3 years ago

In 1979 the Wincom river was 33 feet below the bridge. Because of silt build-up in the river bottom, the

MAVERICK [17]

Answer: d = 40 - 5/2t; 1995

Hope it helps :)

7 0

2 years ago

A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by abo

DaniilM [7]

Answer: The required exponential model is $1804(1.04)^t$