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3 years ago

Help me please 4 questions 50 points this is due today

Mathematics

2 answers:

slamgirl [31]3 years ago

7 0

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

Alisiya [41]3 years ago

5 0

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

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What is the value of x in the equation below 6 (x - 8) equals 72

olga_2 [115]

Here is the equation:

$6(x-8)=72$

In the equation, 6 is being multiplied by x - 8. There are two ways to solve this equation.

FIRST METHOD

You need to remove the parentheses by multiplying everything in the parentheses by 6.

$6(x-8) = (6\times x) + (6 \times -8)$

Multiply:

$6 \times x = 6x\\6 \times -8 = -48$

Remember:

NEGATIVES

Negative(-) times(×) negative(-) = positive(+)

Negative(-) times(×) positive(+) = negative(-)

Negative(-) divided(÷) by positive(+) = negative(-)

Negative(-) divided(÷) by negative(-) = positive(+)

POSITIVES

Positive(+) times(×) positive(+) = positive(+)

Positive(-) times(×) negative(-) = negative(-)

Positive(+) divided(÷) by positive(+) = positive(+)

Positive(+) divided(÷) by negative(-) = negative(-)

Now combine the two values and rewrite the equation:

$6x+-48 \rightarrow 6x-48=72$

Since you're looking for x alone, you will need to remove the -48. This can be done by adding 48 to both sides, -48+48=0, which cancels it out).

$6x-48+48=72+48\\6x=120$

Lastly, divide both sides by 6 to leave x alone.

$\frac{6x}{6} = \frac{120}{6}$

$x=20$

SECOND METHOD

While the first step is somewhat complicated, there is a much easier way.

$6(x-8)=72$

Start by dividing both sides by 6 to remove the number next to the parentheses.

$\frac{6(x-8)}{6} =\frac{72}{6}$

$x-8=12$

(The 6 is cancelled out since 6 divided by 6 equals 1, and 1 × any number is that number).

Now you need to leave the variable alone, which can be done by adding 8 to both sides(-8+8=0 and -8 is cancelled out).

$x-8+8=12+8\\$

$x=20$

Either method can be used, but the second one is definitely shorter!

The answer is x = 20.

8 0

3 years ago

Read 2 more answers

Five less than one third of a number

yaroslaw [1]

Answer:

$x\frac{1}3 -5$

Step-by-step explanation:

You don't know the number, so you replace it with x.

Since it is one third of x, you multiply x by $\frac{1}{3}$

Then you subtract 5 from the whole thing: $x\frac{1}{3} -5$

4 0

4 years ago

A data mining routine has been applied to a transaction dataset and has classified 88 records as fraudulent (30 correctly so) an

chubhunter [2.5K]

Answer:

The classification matrix is attached below

Part a

The classification error rate for the records those are truly fraudulent is 65.91%.

Part b

The classification error rate for records that are truly non-fraudulent is 96.64%

Step-by-step explanation:

The classification matrix is obtained as shown below:

The transaction dataset has 30 fraudulent correctly classified records out of 88 records, that is, 30 records are correctly predicted given that an instance is negative.

Also, there would be 88 - 30 = 58 non-fraudulent incorrectly classified records, that is, 58 records are incorrectly predicted given that an instance is positive.

The transaction dataset has 920 non-fraudulent correctly classified records out of 952 records, that is, 920 records are correctly predicted given that an instance is positive.

Also, there would be 952 - 920 = 32 fraudulent incorrectly classified records, that is, 32 records incorrectly predicted given that an instance is negative.

That is,

Predicted value

Active value Fraudulent Non-fraudulent

Fraudlent 30 58

non-fraudulent 32 920

The classification matrix is obtained by using the information related to the transaction data, which is classified into fraudulent records and non-fraudulent records.

The error rate is obtained as shown below:

The error rate is obtained by taking the ratio of $\left( {b + c} \right)(b+c)$ and the total number of records.

The classification matrix is, shown above

The total number of records is, $30 + 58 + 32 + 920 = 1,040$

The error rate is,

$\begin{array}{c}\\{\rm{Error}}\,{\rm{rate}} = \frac{{b + c}}{{{\rm{Total}}}}\\\\ = \frac{{58 + 32}}{{1,040}}\\\\ = \frac{{90}}{{1,040}}\\\\ = 0.0865\\\end{array}$

The percentage is $0.0865 \times 100 = 8.65$

(a)

The classification error rate for the records those are truly fraudulent is obtained by taking the rate ratio of b and $\left( {a + b} \right)(a+b)$ .