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OverLord2011 [107]
3 years ago
10

Quadrilateral A'B'C'D'is the image of quadrilateral of ABCD under a rotation of about the origin (0,0)

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

The answer is option is C

Step-by-step explanation:

In this problem we have a couterclockwise about the origin

sp

Verify

Option D

rotation 90 degrees counterclockwise

(x,y) -------> (-y,x)

so,

A(-2,3) ---------> A'(-3,-2) ---------> is not ok

therefore, the answer is option is C

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,
Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that p = 0.08

Sample of 11 college graduates:

This means that n = 11

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0
3 years ago
I will give u brainliest
Ray Of Light [21]

Answer:

17.549

is the answer to this

5 0
3 years ago
Read 2 more answers
A. ( x + 5)<br><br>B. ( x - 5 )<br><br>C. ( x + 3 )<br><br>D. ( x - 3 )
Blababa [14]

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

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An asterisk * or × is the symbol for multiplication.

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The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

6 0
3 years ago
The two triangles are similar. What is the value of x? Enter your answer in the box.
ra1l [238]

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!


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3 years ago
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Evaluate j/4 when j = 12
JulsSmile [24]
Your answer will be 3
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