Answer:
109.9 ft
Step-by-step explanation:
The length of an arc that is 1/4 of a circle of radius 70 ft is ...
s = rθ
s = (70 ft)(π/2) = 35π ft ≈ 109.9557 ft
The best answer choice appears to be 109.9 feet.
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
Answer:
H0: p ≥ 0.03 Ha: p < 0.03
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
, where:
represent the true proportion for the population of broken pieces
What we want to proof need's to be on the alternative hypothesis and the complement on the null hypothesis.
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
H0: p ≥ 0.03 Ha: p < 0.03
Answer:
0.659 is the probability that a tutor charges between $10 and $20 per hour.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $15 per hour
Standard Deviation, σ = $5.25 per hour
We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.
Formula:
P( tutor charges between $10 and $20 per hour)

0.659 is the probability that a tutor charges between $10 and $20 per hour.
The answer
ellipse main equatin is as follow:
X²/ a² + Y²/ b² =1, where a≠0 and b≠0
for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then </span>x² /3²= cos² t and y²/8² = sin² t
therefore, x² /3²+ y²/8² = cos² t + sin² t = 1
equivalent to x² /3²+ y²/8² = 1
for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8² = cos² 4t + sin² 4t=1