A kite is flying above the ground
2 answers:
The height of the kite above the ground is 90.63 feet.
<u>Step-by-step explanation:</u>
The angle of elevation of the kite is (θ) 65°.
The distance between the kite and its end is (hypotenuse)100 feet.
To find the height (x) of the kite flying above the ground.
we know that sin(θ) =.
sin 65°=
sin 65° = 0.90631.
0.90631 ×100=x.
90.63=x.
∴The height of the kite above the ground is 90.63 feet.
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Answer:
a)
b) From the central limit theorem we know that the distribution for the sample mean is given by:
c)
Step-by-step explanation:
Let X the random variable the represent the scores for the test analyzed. We know that:
And we select a sample size of 64.
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Part a
For this case the mean and standard error for the sample mean would be given by:
Part b
From the central limit theorem we know that the distribution for the sample mean is given by:
Part c
For this case we want this probability:
And we can use the z score defined as:
And using this we got:
And using a calculator, excel or the normal standard table we have that: