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motikmotik
3 years ago
14

Danni counted 48 apples in a basket of apples. The basket actually contained 46 apples. What is the percent error?

Mathematics
1 answer:
enot [183]3 years ago
5 0
The answer would be 4.2%
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What is the slope of the line with equation y = –3?<br> I have no idea how to do this.
Sergio [31]

Sure you do  !
I'll tell you what it is, and why, and you'll slap your forehead
and call yourself names.

The 'standard'  form of an equation that shows the slope and intercept is

                                      y = (slope) x + (intercept)

<em><u>What if the slope is zero</u> ?</em> 

Then the equation is                y = (0) x + intercept
                                             or
                                                     y = intercept.

Does that look anything like    y = -3  ?

6 0
3 years ago
Factor completely
Orlov [11]

Answer:

(x-3)(x+3)(x+2)

Step-by-step explanation:

x^3 + 2x^2 - 9x -18

= x^2(x+2) - 9(x+2)

= (x^2 - 9) (x+2)

= (x+3)(x-3)(x+2)

5 0
2 years ago
Read 2 more answers
How to factor: 15x^2y^3 + 10xy^2z
ivann1987 [24]
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6 0
3 years ago
In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling
monitta

Answer:

1,968

Step-by-step explanation:

Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;

Set X represent the set where the siblings x₁ and x₂ sit together

Set Y represent the set where the siblings y₁ and y₂ sit together

Set Z represent the set where the siblings z₁ and z₂ sit together

We have;

Where the three siblings don't sit together given as X^c∩Y^c∩Z^c

By set theory, we have;

\left | X^c \cap Y^c \cap Z^c  \right | = \left | X^c \cup Y^c \cup Z^c  \right | =  \left | U  \right | - \left | X \cup Y \cup Z  \right |

\left | U  \right | - \left | X \cup Y \cup Z  \right | = \left | U  \right | - \left (\left | X \right | +  \left | Y\right | +  \left | Z\right | -  \left | X \cap Y\right | -  \left | X \cap Z\right | -  \left | Y\cap Z\right | +  \left | X \cap Y \cap Z\right | \right)

Therefore;

\left | X^c \cap Y^c \cap Z^c  \right | = \left | U  \right | - \left (\left | X \right | +  \left | Y\right | +  \left | Z\right | -  \left | X \cap Y\right | -  \left | X \cap Z\right | -  \left | Y\cap Z\right | +  \left | X \cap Y \cap Z\right | \right)

Where;

\left | U\right | = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!

\left | X\right | = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!

\left | Y\right | = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!

\left | Z\right | = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!

\left | X \cap Y\right | = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!

\left | X \cap Z\right | = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

\left | Y \cap Z\right | = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

\left | X \cap Y \cap Z\right | = The number of ways x₁ and x₂,  y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!

Therefore, we get;

\left | X^c \cap Y^c \cap Z^c  \right | = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)

\left | X^c \cap Y^c \cap Z^c  \right | = 5,040 - 3072 = 1,968

The number of ways where the three siblings don't sit together given as \left | X^c \cap Y^c \cap Z^c  \right |  = 1,968

5 0
3 years ago
You deposit $650 in a savings account. How long does it take an account with an annual interest rate of 5% to earn $178.25 in in
laiz [17]

Answer:

It takes an account 5.4 years  to earn $178.25 in interest with an annual interest rate of 5%.

Step-by-step explanation:

You can use the following formula to calculate the time it takes an account to earn a certain amount in interest:

t=(1/r)*((F/P)-1), where:

t= time

r= rate of interest= 5%

F= future value= 650+178.25=828.25

P= present value= 650

Now, you can replace the values on the formula:

t=(1/0.05)*((828.25/650)-1)

t=20*0.27

t=5.4

According to this, the answer is that it takes an account 5.4 years  to earn $178.25 in interest with an annual interest rate of 5%.

3 0
3 years ago
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