Complete Question
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, , is nothing. (Round to the nearest tenth as needed.)
p = 0.6 n = 18
Answer:
The mean 
The standard deviation 
The variance 
Step-by-step explanation:
From the question we are told that
The probability of success is 
The sample size is 
Generally given that the distribution is binomial, then the probability of failure is mathematically represented as
substituting values
Generally the mean is mathematically evaluated as
substituting values
The standard deviation is evaluated as
substituting values
The variance is evaluated as
substituting value
For this case, the first thing we must do is define variables.
We have then:
x: number of minutes
y: final temperature
We write then the equation that models the problem:
For y = 20 we have:
Clearing x:
Answer:
The temperature of the water will be 20 degree celcius after 150 minutes
Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Answer:
f(2)= 11
Step-by-step explanation:
you have to substitute 2 for every x you see:
f(x) = 3x² + 2x - 5
f(2)= 3(2)^2+2(2)-5
f(2)= 11
Answer:
A)4.1%
Step-by-step explanation:
First you need to add all the payments together to get your total.
1400+300+150+800+300+150+100+100+150+200=3650
Then you cross multiply and divide to get the percentage.
=
When you cross multiply and divide x≈4.1
