MATHEMATICS HIGH SCHOOL

Fill in the blank. A​ _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.

Answers

Answer 1
Answer:

Answer:

A​ conditional probability of an event is a probability obtained with knowledge that some other event has already occurred.

Step-by-step explanation:

Conditional probability of an event (A) is a probability obtained with knowledge that some other event (B) has already occurred and is denoted as P(A|B).

It satisfies the following equation:

  • P(A|B)=P(A and B) / P(B)

where P(A and B) is the probability of A and B occurring together.

Conditional probability is applied in many areas of Bayesian statistics and machine learning.
Answer 2
Answer:

Final answer:

The blank space should be filled with 'conditional'. A conditional probability of an event is a probability calculated with the knowledge that another event has already happened.

Explanation:

The blank space should be filled with 'conditional'. A conditional probability of an event is a probability obtained with knowledge that some other event has already occurred. Suppose you have events A and B from the same sample space. The conditional probability of event A given that event B has occurred, denoted as P(A|B), is computed as P(A and B) divided by P(B), where P(A and B) represents the probability that both events happen, and P(B) is the probability of B happening. This quantity is meaningful as long as P(B) is not zero.

Learn more about Conditional Probability here:

brainly.com/question/32171649

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An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. What is the approximate height of the building to the nearest foot?A) 40 feet
B) 49 feet
Eliminate
C) 56 feet
D) 63 feet

Answers

I think it would be C) 56 feet. See, if we take the height of the woman(5) over the shadow she casts(8), and crossmultipy it with the height of the building(?) over the shadow of the building(90), it would be approximately 56 feet.       5/8  ?/90      90x5= 450 450/8= 56.25                                                       

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

h(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)
A7y2 + 4xy – 3
B7y2 + 8xy – 3
C7y2 + 4xy + 3
D7y2 + 8xy + 3

Answers

(7y² + 6xy) - (-2xy + 3)

⇒ (-1 * -2xy) + (-1 * 3) = 2xy - 3

7y² + 6xy + 2xy - 3

7y² + 8xy - 3  Choice B.

B. 7y2 + 8xy – 3 is the answer

An employer may conduct an aptitude test to check for what? A. Your ability to solve problems B. Test your actual skills, such as typing C. Discover individual behavior patterns D. The capacity to acquire certain skills

Answers

The correct answers should be A. Your ability to solve problems

Aptitude tests often deal with solving issues using logical reasoning and behavior when solving problems.

The correct answer is:

B. Test your actual skills, such as typing

Explanation:

There are four different types of aptitude tests.

Skills tests are usually easy tasks relating to an important function of the job, such as typing speeds or data entry.

Knowledge tests are designed to measure how much a prospective employee knows about a particular aspect of the job to ensure he or she has the required level of knowledge for the job.  

Ability tests are used to measure cognitive or mental ability, and are based on presenting candidates with workplace scenarios and asking them to explain what they would do in a particular situation.

The most commonly used personality tests measure five basic factors of personality – openness to experience, extroversion, agreeableness, conscientiousness, and emotional stability.  This is often used for sales positions to predict performance.

In general, the median of a data set is less resistant to outliers than the mean. A. True B. False

Answers

A. true, the median of a data set is less resistant to outliers than the mean

Answer:

FALSE  is the correct answer

Step-by-step explanation:

Biologists are treating a lake contaminated with bacteria. The level of contamination is changing at a rate of dN/dt=-1110/t² -230 bacteria percubic centimeter per day, where is the number of days since treatment began. Find a function N(t) to estimate the level of contamination if the
level after I day was 5380 bacteria per cubic centimeter.

Answers

Answer: the function N(t) to estimate the level of contamination in the lake is:

N(t) = -1110 ln(t) - 230t + 1110 ln(I) + 230I + 5380

Step-by-step explanation: ∫ dN/dt dt = ∫ (-1110/t² -230) dt

N(t) = -1110 ln(t) - 230t + C  

N(I) = -1110 ln(I) - 230I + C = 5380

C = 1110 ln(I) + 230I + 5380
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