Answer:
The maximum deposit is $4,000 billion.
Step-by-step explanation:
Consider the provided information.
It is given that the required reserve ratio of 10 percent for all banks.
It is given that total bank reserves of $400 billion.
Let the maximum deposit is x.
Therefore, 10% of x = $400 billion
Hence, the maximum deposit is $4,000 billion.
Using the Empirical Rule and the Central Limit Theorem, we have that:
It states that, for a normally distributed random variable:
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
Step-by-step explanation:
To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.
a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:
we can substitute the value of sec(θ) in this equation:
and solve for for cos(θ)
side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by
b) since right triangle is mentioned in the question. We can use:
we know the value of cos(θ)=1\52. and by comparing the two. we can say that:
we can find the third side using the Pythagoras theorem.
we can find the sin(θ) using this side:
and since