Let A and B be mutually exclusive events with PA) = 0.20 and PCB) = 0.30.

Given that RT - WX, which statement must be true?

Andrei [34K]

Answer:

Since RT ≅ WX, RT and WX are congruent; in other words they are completely equal for all purposes. Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

Step-by-step explanation:

For RT + TW = WX + TW

Step 1 replace RT with WX

RT + TW = WX + TW

WX + TW = WX + TW

Step 2 subtract TW from both sides of the equation

WX + TW - TW= WX + TW -TW

WX = WX

Since RT ≅ WX, the equation WX = WX is valid because, as we stated before, RT and WX are completely equal, and thus, interchangeable.

We can conclude that the correct statement is: RT + TW = WX + TW

Since we already found the valid statement, we don't need to check the other ones, but lets do it just for fun:

For RT = 2(RX) and WX = 2(RX)

Step 1 replace RT with WX:

WX = 2(RX)

Since we don't know anything about RX, we can't conclude that RT = WX from the given statement. Therefore, we can't conclude that the statement must be true.

For RT + TW = RX

Step 1 replace RT with WX:

WX + TW = RX

Step 2 subtract TW from both sides:

WX + TW - TW = RX - TW

WX = RX - TW

Again, since we don't know anything about RX and TW, we can conclude that RT = WX from the given statement. . Therefore, we can't conclude that the statement must be true.

hpoe it helps...

5 0

3 years ago

Anton defines an acute angle as an angle that is not obtuse. Is Anton's definition valid ?

kobusy [5.1K]

Answer:

Anton's definition is not valid.

Step-by-step explanation:

We have been given that Anton defines an acute angle as an angle that is not obtuse. We are asked to find whether Anton's definition is valid or not.

We know that an angle is known as acute angle whose measure is greater than 0 and less than 90 degrees.

We also know that an angle is known as obtuse angle whose measure is greater than 90 degrees and less than 180 degrees.

We know that a right triangle is neither acute nor obtuse. Since Anton hasn't mentioned a right triangle to his definition, therefore, his definition is not valid.

4 0

3 years ago

For a data set of brain volumes (cm3) and IQ scores of eight males, the linear correlation coefficient is found and the P-val

tatiyna

Answer:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.

Step-by-step explanation:

We are given the following information in the question:

p-value = 0.793

Significance level = 0.05

$H_{0}: \mu = \text{ The population correlation coefficient is not significantly different from 0}\\H_A: \mu = \text{ The population correlation coefficient is significantly different from 0}$

Since p value is greater than the significance value so we fail to reject the null hypothesis and accept the null hypothesis. We conclude that there is not a significant linear relationship between two variables.

Thus, we can write:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.

7 0

4 years ago

Who ever gets this will get a brainlest

Fittoniya [83]

Answer:

A (hope this helps)

5 0

3 years ago

Read 2 more answers

Find all Values of b that will make the polynomial a perfect square trinomial.

weeeeeb [17]

Answer:

10,404/334,084

Step-by-step explanation:

Given the polynomial

289r^2 - 102r + c

We are to find the value of c that will make it a perfect square

Divide through by 289

289r²/289 - 102r/289 + c/289

Half of the coefficient of r is 1/2(102/289)

Half of the coefficient of r = 102/578

Square the result

r² = (102/578)²

r² = 10,404/334,084

Hence the required constant is 10,404/334,084

8 0

3 years ago