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2 years ago

In the diagram below, BD is parallel to XY. What is the value of x? 76 y

Mathematics

1 answer:

Butoxors [25]2 years ago

6 0

Answer:

x = 76°

Step-by-step explanation:

Corresponding angles are formed when a transversal line cuts across two parallel lines. The angles formed are in corresponding position close to the transversal. Corresponding angles formed like this are congruent.

In the diagram given above, BD and XY are parallel lines cut across by a transversal line.

Angle labelled x corresponds with the angle measuring 76°. Therefore they are both congruent. Thus: x = 76°.

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What is the initial value in the function 2x + 3y = 6?

maw [93]

<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

$y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept$

Writing our equation in slope intercept form:

$2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2$

So the initial value is:

$b=3$

5 0

2 years ago

Sylvia needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h repre

solniwko [45]

110-16= 84
84÷10=8.40

3 0

2 years ago

During statistical analysis, the investigator may consider searching for statistical associations among various groups that may

IceJOKER [234]

Answer:

This is known as Data dredging.

Step-by-step explanation:

In order for any statistical analysis to be significant, a researcher has to first generate a hypothesis.

Data dredging is trying to uncover patterns in data that can be presented statistically without devising a clear hypothesis by use data mining. It is also referred to as data fishing or p-hacking.

In this case any correlation (relationship between cause-effect)will be purely by chance.

Therefore, the investigator is Data dredging

3 0

2 years ago

A computer system uses passwords that are six characters, and each character is one of the 26 letters (a–z) or 10 integers (0–9)

Blababa [14]

First of all, since we have 36 characters available per spot (26 letters and 10 digits), and we have 6 spots, we have a total of

$36^6$

possible passwords.

Event A happens if the password starts with either a, e, i, o or u. If we fix the first character, we're left with 36 characters available for each of the remaining 5 spots, leading to a total of

$5\cdot 36^5$

possible passwords.

So, the probability of event A, computed as the ratio between "good" cases and all possible cases, is

$\dfrac{5\cdot 36^5}{36^6}=\dfrac{5}{36}$

Event B works exactly the same, since we're fixing the last spot, leaving 36 characters available for each of the first 5 spots. So, we have

$P(A)=P(B)=\dfrac{5}{36}$

As for the intersection, we want the first character to be a vowel, and the last character to be an even digits. There are 25 passwords satisfying this request:

$axxxx0,\ axxxx2,\ axxxx4,\ axxxx6,\ axxxx8$