Answer:
243
Step-by-step explanation:
If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.
If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.
Similarly, when there are 5 questions that have three choices each, then there will be 3⁵ i.e. 243 ways of answering options. (Answer)
Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So
has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
Hey there!
To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).
54 - 1, 2, 3, 6, 9, 18, 27.
36 - 1, 2, 3, 4, 6, 9, 12, 18.
As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.
Hope this helps! :)
The procedure to squaring a two digit number is by multiplying the first number by a integer greater than the number and putting 25 beside it.
Finding the Square of a Value is a simple method. Multiply the specified integer by itself to determine the square number. The square term is always represented as an integer multiplied by two. For example, the square of 5 is 25 multiplied by 5, giving 5×5 = 5² = 25.
What if we want to calculate the square root of a two-digit number . It might be a little challenging. Ordinary multiplication cannot be used to compute the square of two-digit values. This article will show us how to calculate the precise square of such integers.
Simply multiply a single-digit number by itself to find its square. Furthermore, by memorizing the tables from 1 to 10.
We taught about two triangles and how to find the point of any base of a triangle given the other two sides using Pythagoras' theorem.
A right triangle has three sides: the hypotenuse, perpendicular, and base. Pythagoras' theorem states that
Hypotenuse² = Perpendicular² + Base².
to learn more about number visit:
brainly.com/question/17429689
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