Answer:
Step-by-step explanation:
altitude = sqrt(6*8) = 4*sqrt(3)
Use the Pythagorean Theorem to derive x
altitude^2 + 18^2 = x^2
48 + 18^2 = x^2
x^2 = 342
x = 3*sqrt(38)
x = 18.49
Answer:
20%
Step-by-step explanation:
There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.

Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:

After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:


4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
COSAS
Step-by-step explanation:
en realidad hablo inglés XD
Answer:
(B) 0.2843
Step-by-step explanation:
Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.
Then hypotheses are
: d=0.15
: d<0.15
Test statistic can be found using the equation
where
- p1 is the sample proportion of Country X (0.36)
- p2 is the sample proportion of Country Y (0.26)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of adults from Country X (60)
- n2 is the sample size of adults from Country Y (50)
Then
≈ 0.5646
p-value of test statistic is ≈ 0.2843
p-value states the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y who were first married between the ages of 18 and 32 is at least 0.15