Answer:
(-1, -5)
Step-by-step explanation:
When you graph the points, you find that the lines intersect at the point (-1, -5). That is the solution to the system of equations.
(x, y) = (-1, -5)
Answer:
Gcf 9
Step-by-step explanation:
Factors of 27y^3z = 1,3,5,9,27,y,y^2. Factors of 45x^2y = 1,3.5,9,15,45,x,y. CF = 1,3,5,9,y. GCF = 9.
Answer:
the clock will represent 4.5 billion years as 2.67 hours
Step-by-step explanation:
Data provided in the question:
Total time of history of Earth = 4.5 billion years
Representation of total time of history of Earth on clock = 12 hours
Therefore,
4.5 billion years = 12 hours
or
⇒ 1 billion year =
or
⇒ 1 billion year = 2.67 hours
Hence,
the clock will represent 4.5 billion years as 2.67 hours
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:





n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
1. 11/(11+JG)=20/50
11+JG=27.5
JG=16.5
2. i still need some time.. is triangle RST a right-angled triangle or not?