Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
Next, we list out the sample space of F
In (1): the sample space of E is:
So:
In (2): the sample space of F is:
So:
For E and F to be independent:
Substitute values for P(E) and P(F)
This gives:
However, the actual value of P(E and F) is 0.
This is so because and have 0 common elements:
So:
Compare and .
These values are not equal.
Hence: the two events are not independent
X= shift tan 0.3
x=16.6992≈17
Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.
Given a paragraph in which there are blanks:
A _____ is a number whose only factors are 1 and itself. If a number has factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.
We are required to fill the blank with appropriate options.
We have to fill "prime numbers" in the first blank.
We have to fill "composite numbers" in the second blank.
We have to fill "the sieve of Eratosthenes" in the third blank.
Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.
Learn more about prime numbers at brainly.com/question/145452
#SPJ1
1) (m³n⁵)(mn⁴)
-----------------
m⁻³n²
Simplify.
m⁴n⁹
-------
m⁻³n²
When the bottom power is a negative, you add it to the power on top, & when the power is a positive, you subtract it.
m⁴ + m³ = m⁷
n⁹ - n² = n⁷
So, our answer for #1 is m⁷n⁷
2) 6a²b³
---------
4a
Please read rules in #1.
6 / 4 = 3/2 & a² - a = a
So, our answer is 3a
-----
2
3) 5⁶a⁶b³
---------
5²ab³
5⁶ - 5² = 5⁴ AND a⁶ - a = a⁵ AND b³-b³ = 0
So, our answer is 5⁴a⁵
Simplify 5⁴
5 × 5 × 5 × 5 = 625
So, our final answer is :
625a⁵
~Hope I helped!~
9514 1404 393
Answer:
"three times a number is the same as twice the difference of the number and 1"
Step-by-step explanation:
3c is "three times a number"
2(c -1) is "two times the difference of the number and 1"
When writing the description of the right-hand side, one needs to be careful to write it so there is no ambiguity with respect to what is being multiplied by 2. For example, if you say, "two times one less than the number", it is not clear whether that is c -2×1 or 2×(c -1).
A suitable description is ...
three times a number is the same as twice the difference of the number and 1
