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2 years ago

If angles A and B are consecutive interior angles, what is the measure of

Mathematics

1 answer:

n200080 [17]2 years ago

8 0

Answer:

A. 105°

Step-by-step explanation:

Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.

$180-75$
$105$

Therefore, the answer is A.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Williams salary is £24000 his salary increases by 4% work out Williams new salary

Ad libitum [116K]

100% = 24000
50 % = 12000
10% = 2400
5 % = 1200
1 % = 240

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3 years ago

Your goal is to take at least 10,800 steps per day. According to your pedometer, you have walked 7370 steps. Write and solve an

faust18 [17]

Answer:

Step-by-step explanation:

Let the numbers of steps you can take to reach your goal be x

Your goal is to take at least 10,800 steps per day and you have walked 7370 steps already.

x + 7370 >= 10800

x >= 10800 - 7370

x >= 3430

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3 years ago

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The ratio of blue marbles to red marbles in a box is 3 to 2. if there are 12 blue marbles in a box then how many red marbles are

valkas [14]

The answer is: 8 red marbles!

This is because the equation can be written out like this
Blue to red - 3:2
Now it is, blue to red - 12:x

We have to think, what is the difference from the first equation to the second. We know the number 3 times 4 = 12, so we would do the same for the red, 2 times 4=8

If this helped, give me brainliest :)

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2 years ago

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

Firlakuza [10]

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 $\left( {a + b} \right)(a+b)$ .

The classification error rate for the records those are truly fraudulent is obtained as shown below:

The classification matrix is, shown above and in the attachment

The error rate for truly fraudulent is,

$\begin{array}{c}\\FP = \frac{b}{{a + b}}\\\\ = \frac{{58}}{{30 + 58}}\\\\ = \frac{{58}}{{88}}\\\\ = 0.6591\\\end{array}$

The percentage is, $0.6591 \times 100 = 65.91$

(b)

The classification error rate for records that are truly non-fraudulent is obtained by taking the ratio of d and $\left( {c + d} \right)(c+d)$ .

The classification error rate for records that are truly non-fraudulent is obtained as shown below:

The classification matrix is, shown in the attachment

The error rate for truly non-fraudulent is,

$\begin{array}{c}\\TP = \frac{d}{{c + d}}\\\\ = \frac{{920}}{{32 + 920}}\\\\ = \frac{{920}}{{952}}\\\\ = 0.9664\\\end{array}$

The percentage is, $0.9664 \times 100 = 96.64$

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2 years ago

Find a polynomial with zeros at x=2,x=-1 and x=0

Amiraneli [1.4K]

Answer:

f(x) = x^3 - x^2 -2x

Step-by-step explanation:

If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.

The factors of the given polynomial are;

x - 2

x + 1

Multiplying the first two factors;

(x-2)(x+1) = x^2 + x -2x -2

= x^2 -x -2

We finally multiply this result by x to obtain our polynomial;

f(x) = x ( x^2 -x -2)

= x^3 - x^2 -2x

which is a cubic polynomial since it has 3 roots.

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2 years ago

Read 2 more answers