<h3><u>Answer;</u></h3>
The correct answer<em> </em><em><u>is true</u></em>
<h3><u>Explanation;</u></h3>
- <u>Dilation</u> is a type of transformation which stretches and reduces the size of the original figure.
- A dilation has a center of dilation and a dilation scale factor. If the scale factor is less than one then the original size will shrink, and if the scale factor is greater than one then the figure will increase in size.
- Dilation transformation does not alter the shape of a figure but alters the size by making it bigger or smaller.
Answer:
5
Step-by-step explanation:
Answer:
P ( X < 4 ) = 0.1736706
Step-by-step explanation:
Given:
- A random variable X follows a binomial distribution as follows,
Where n = 8, and p = 0.6.
Find:
- P ( X < 4 )?
Solution:
- The random variable X follows a binomial distribution as follows:
X ~ B ( 8 , 0.6 )
- The probability mass function for a binomial distribution is given as:
pmf = n^C_r ( p )^r (1-p)^(n-r)
- We are asked to find P ( X < 4 ) which is the sum of following probabilities:
P ( X < 4 ) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 )
- Use the pmf to compute the individual probabilities:
P ( X < 4 ) = 0.4^8 + 8^C_1*(0.6)*(0.4)^7 + 8^C_2*(0.6)^2*(0.4)^6 + 8^C_3*(0.6)^3*(0.4)^5 .
P ( X < 4 ) = 6.5536*10^-4 + 7.86432*10^-3 + 0.04128768 +0.12386304
Answer: P ( X < 4 ) = 0.1736706
Answer:
x = -11
Step-by-step explanation:
1. Distribute 3 to the parenthesis and distribute 5 to the parenthesis
3x-12 = 5x + 10
2. Combine like terms (subtract 3x on both sides and then subtract 10 on both sides)
2x = -22
3. Divide both sides by 2
x = -11
please give me brainliest if this helped
