The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probability of both events occurring, in that order?A. P(A + B)
B. P(A) • P(B)
C. P(A) + P(B)
D. P(A x B)

Answers

Answer 1
Answer:

Answer:  The correct option is (B) P(A) • P(B).

Step-by-step explanation:  Given that the probability for success of an event is P(A) and the probability of success of a second event is P(B).

We are to find the probability of both events occurring, in that order.

We know that

if two events are independent of each other, then the probability of the intersection of the two events is given by the product of the probabilities of the events.

Here, the event that both events occur is given by (A ∩ B).

And, so the probability of both events occurring, in that order will be

P(A\cap B)=P(A).P(B).

Thus, the required probability is P(A) • P(B).

Option (B) is CORRECT.

Answer 2
Answer: D. P(A x B)

To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.

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Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?

Answers

Focus: ( 4, 1 )
Directrix: y = 5
The vertex is always half of a distance between the focus and the directrix.
The vertex must be at: ( 4, 3 ),  h = 4,  k = 3
|p| is the distance between the vertex and the directrix ( which is over the vertex and p is negative ).  p = - 2
The equation:
( x - h )² = 4 p ( y - k )  
( x - 4 )² = -8 ( y - 3 ) 

​Using an anonymous questionnaire to determine how many times students send or receive text messages during class is an example of using what modality of measurement?

Answers

Answer:

Self-report

Step-by-step explanation:

A self report questionnaire is one in which the respondents are to go over the the questionnaire and answer the questions by providing response on their own without external influences or interference. It is a method involving administering questions about personal subject matter.

By its nature, self-report studies lends itself  to  correctness and factual  issues whereby respondents hold back information or exaggerate the current situation in other to influence the outcome of the investigation

Final answer:

Using an anonymous questionnaire to measure how many times students send or receive text messages during class is an example of self-report surveys.

Explanation:

Using an anonymous questionnaire to determine how many times students send or receive text messages during class is an example of using the modality of measurement known as self-report surveys. Self-report surveys rely on individuals reporting their own behaviors, attitudes, or experiences. In this case, students would fill out the anonymous questionnaire and provide information about their text messaging habits during class.

Learn more about Self-report surveys here:

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A barge travels twice as fast when it is empty as when it is full. If it travels 20 miles northwith a cargo, spends 20 minutes unloading, and returns to its original port
empty, taking 8 hours to complete the entire trip, what is the speed of the barge when it
is empty?

Answers

V1=(empty)=2*v2(full)
20+20 (go+return)
t1+t2=8hour-20’(1/3 hour)=23/3hour
t1=23/3-t2
v1*t1+v2*t2=20+20
2v2*(23/3-t2)+v2*t2=40
2v2*23/3-2v2*t2+v2t2=40
2v2*23/3-v2t2=40
2v2*23/3-20=40
2v2*23/3=60
v2=60/46/3=180/46=90/23
v1=2*90/23=180/23

Answer:wada

Step-by-step explanation:

awdasd asd wasd waswd

Express 64% as a fraction in simplest form.

Answers

The given percentage in simplest form of fraction as 16/25.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given percentage is 64%.

To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary

Now, 64/100

= 16/25

Therefore, the given percentage in simplest form of fraction as 16/25.

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64% = 64 / 100

2 into 64 is 32, and 2 into 100 is 50

64 / 100 = 32 / 50

2 again into 32 is 16 and 2 into 50 is 25

= 16 / 25

64% = 16 / 25

I hope this explains it.   

How do you find the discrimminant in algebra?

Answers

Step-by-step explanation:

the discriminant is the part of the quadratic formula underneath the square root symbol : b2 -4ac . the discriminant tells as whether there are two solutions ,one solution , or no solution....

UnlimitedFactor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:

Answers

Answer:

(4x - 5)(x + 2).

Step-by-step explanation:

4x^2 + 3x - 10

4 * 10 = -40

We need 2 numbers whose product is -40 and whose sum is +3.

Theses are = - 5 and + 8.

So we write:

4x^2 + 8x + -5x - 10

= 4x(x + 2) - 5(x + 2)

= (4x - 5)(x + 2).