Solution :
a). The probability that the student will the 1st question after the 4th attempt.
P (correct in the 4th attempt)
=
= 0.01171875
b). The probability that the student will 3 questions after 10 total attempts.
P( X = 3) for X = B in (n = 10, p = 0.75)
=
= 0.0031
c). The mean and the standard deviation for the number of attempts up to when the students gets all the questions correct is :
There are = 6 success, p = 0.75.
Therefore, this is a case of a negative binomial distribution.
= 8
So,
= 1.6330
Answer:
The correct option is C.
Step-by-step explanation:
The width of the rectangular pen is
The length of the rectangular pen is
The perimeter of a rectangle is
Therefore the correct option is C.
12 and 23
- Two numbers are relatively prime only when they have 1 as the common factor . or in other words they can not be divided by any other number other than 1 and itself.
- To find
- relative prime
- of two numbers we need to find the HCF of the numbers. If the HCF is 1, then the two numbers are said to be relatively primes or in other words only 1 should be common as factor.
- factor of 23 = 2, 2, 3, 1
here only 1 is a common factor.
To know more about relatively prime visit : brainly.com/question/28044613
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Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c =
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c =
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)