Answer:
It is unlikely that they will be the same rank 2/52 chance witch is a 0.03% chance
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
Answer:
Correct
Step-by-step explanation:
4y = 3x Divide each side by 4
4y ÷ 4 = 1y
3x ÷ 4 = 0.75x
12y = 9x Divide each side by 12
12y ÷ 12 = 1y
9x ÷ 12 = 0.75x
We can see in both equations that 1y = 0.75x
(1y = just y) So the constant of proportionality can be written as y = 0.75x
All of your explanations and descriptions are accurate.
Answer:
x = 7
y = -2
Step-by-step explanation:
There are 2 equations. The substitution method takes one equation and puts it into the other and solves for 1 variable. Then you take that answer and put into any one equation and solve for the other variable.
Since equation #2 is already given for y = SOMETHING, we take that something and put it into "y" of the 1st equation. Shown below:

We got x = 7
Now, we know from Equation #2, y = x - 9, so
y = x - 9
y = 7 - 9
y = -2
Hence,
y = -2
In coordinate pair, the answer is (7, -2)
The value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.
<h3>What is composite function?</h3>
When a function is written inside the another function, then such function is called the composite function.
The first function given in the problem is,

The second function given,
To find out the value of g(2), put the 2 on place of variable x in the above equation as,

The composite function f(g(x)) can be given as,

Thus, the value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.
Learn more about the composite function here:
brainly.com/question/10687170