It needs to be one expression in terms of x. due Sept 2nd
1 answer:
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Answer:
Step-by-step explanation:
Angles in a triangle add up to 180°
Angles in a straight line add up to 180°
For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.
In the given question,
The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.
We have to find the answer of many question we solve the question one by one.
From the question;
Mean(μ) = 4.5338 G
Standard Deviation(σ) = 0.1039 G
(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.
As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.
So area under the bell shaped curve will be
= 1
This shows that that the total area of under the curve.
(b) We have to find the median.
In the normal distribution mean, median both are same. So the value of median equal to the value of mean.
As we know that the value of mean is 4.5338 G.
So the value of median is also 4.5338 G.
(c) We have to find the mode.
In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.
As we know that the value of mean is 4.5338 G.
So the value of mode is also 4.5338 G.
(d) we have to find the value of variance.
The value of variance is equal to the square of standard deviation.
So Variance =
Variance = 0.0108
Hence, the value of variance is 0.0108.
To learn more about normally distribution link is here
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Answer:
- <u>The rate of return is 8.15%</u>
- <u>This is a good investment</u>
<u></u>
Explanation:
For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.
The formula that returns the present value of a constant payment is called the annuity formula and is:
In your problem you know:
- Present value: $100,000
- payment: $15,000
- r: ?
- t: 10
You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.
Try 5%:
Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.
Since this rate is higher than 8%, which is what the company requires, this is a good investment.