Mercury has the greater density than that of Venus .
Answer: The perimeter of the new triangle is 16 times the perimeter of the original triangle.
Step-by-step explanation:
Answer:
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
Solution:
Definition of null hypothesis : The null hypothesis attempts to show that no variation exists between variables or that a single variable is no different than its mean. it is denoted
Alternative Hypothesis: In statistical hypothesis testing, the alternative hypothesis is a position that states something is happening, a new theory is true instead of an old one (null hypothesis).
We are given that The mean height of women 20 years of age or older was 63.7 inches.
So, null hypothesis :
Alternative Hypothesis :
b)The P-value for this test is 0.16.
Solution: The p-value represents the probability of getting a sample mean height of 65.1 inches.
c) Write a conclusion for this hypothesis test assuming an alpha equals 0.10 level of significance.
Solution:
p- value = 0.16
Since the p - value is high .
So, we will accept the null hypothesis
So,
Hence The mean height is 63.7 inches
Answer:
A) √3
Step-by-step explanation:
The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.
So, we have to find them.
The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.
That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.
Dividing those two gives us (2√3)/2, which can be simplified to √3.
2/3 because parallel lines have the same slope