FREE NYSTCE Mathematics 004 Questions and Answers
Determine the midpoint of the line depicted in the graph.
The likelihood of receiving the head from an unfair coin is 0.3. What is the probability of not getting a head after tossing the coin three times?
When rounded to three decimal places, the probability of getting a tail in three unfair coin tosses is approximately 0.343.
V= (1/3)b²h
The volume of a square pyramid is given by the equation V = (1/3) * b2 * h.
A conjecture's counter example is a case in which the conjecture's conditions (the hypothesis) are met but the conclusion is not.
A mathematical conjecture is a statement or proposition that is based on evidence and is thought to be true but has not been proven or verified. An example that contradicts the conjecture, supports the hypothesis, but fails to support the conclusion is referred to as a counterexample. By identifying counterexamples that refute the conjecture's conclusion, mathematicians can determine whether a conjecture is valid.
What is the result of adding 10 and 7?
A mathematical technique called combination allows you to choose items from a larger set without changing their order. C(n, r) = n! / (r! * (n - r)!) is the formula for calculating the combination of n items taken r at a time. Use the factorials to calculate the numbers: 10! = 3,628,8007!, and then enter these values back into the formula: C(10, 7) = 120 to determine the combination of 10 items taken 7 at a time.
The aggregate of all elements from two or more sets
All the distinctive elements from two or more sets are combined into a single set through the operation known as the union of sets (). When two or more sets are combined, a new set is created that includes every element from every original set.
This pyramid is square-based. How much volume is 13cm high?
Which of the following is the unit of measurement in the metric system?
The other options are units of measurement used in the imperial or customary systems, whereas kilometers per hour is the metric unit of measurement for speed.
Answer the question below using the diagram. v-rotating cargo contains a person. At point P in the diagram, the cargo is moving perpendicular to the line OP, and the person in the cargo throws a ball with speed v toward the center of the circular motion O. From point P, where is the ball?
Where is the point of equidistance between the coordinates -3,9 and 5,1?
The intersection of (-3, 9) and (5, 1) is at the midpoint (1, 5)
Use the diagram to answer the subsequent question. Parallel are the lines AE and BD. What is the ratio of the area of triangle CDE to the area of triangle ABC if CE = 3AC?
Kevin's bank account contains a $5,000 deposit. He consistently withdraws $200 per month from this account throughout the year.
What linear equation describes the relationship between Kevin's remaining account balance y and the number of months x that have passed?
Beginning the year with a $5000 deposit, Alex regularly takes out $200. A linear equation, y = mx + b, shows the relationship between Alex's remaining funds and the number of months that have passed. The y-intercept (b) is $5000, and the slope (m) is -200. Alex's account drops by $200 every month until it reaches the starting amount as x rises.
There is an angle x in a triangle with the following three sides:
What is the value of tan(xtrigonometric )'s ratio?
Use the graph to answer the subsequent question. How large is the vector shown above?
c²=a²+b²-2ab(cosC)
as it explains how to use trigonometry to determine the side lengths and angles of non-right triangles.
What is the answer to the calculation shown below?
