T he equation for a parabola with directrix y = –p and focus (0, p) is:
1 answer:
The equation for a parabola with directrix y = –p and focus (0, p)
The distance between vertex and directrix is P
Also the distance between vertex and focus is also P
Focus (0,p) so focus lies on y axis
Directrix line is paralled to focus point
So Directex crosses the x axis .
Hence line of symmetry lies is the y-axis.
The graph is attached below.
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Answer:
(a) The probability that the number of successes is at most 5 is 0.1379.
(b) The probability that the number of successes is at most 5 is 0.1379.
(c) The probability that the number of successes is at most 5 is 0.1379.
(d) The probability that the number of successes is at most 11 is 0.9357.
→ All the exact probabilities are more than the approximated probability.
Step-by-step explanation:
Let <em>S</em> = a basketball player scores a shot.
The probability that a basketball player scores a shot is, P (S) = <em>p</em> = 0.30.
The number of sample selected is, <em>n</em> = 25.
The random variable
According to the central limit theorem if the sample taken from an unknown population is large then the sampling distribution of the sample proportion () follows a normal distribution.
The mean of the the sampling distribution of the sample proportion is:
The standard deviation of the the sampling distribution of the sample proportion is:
(a)
Compute the probability that the number of successes is at most 5 as follows:
The probability of 5 successes is:
**Use the standard normal table for probability.
Thus, the probability that the number of successes is at most 5 is 0.1379.
The exact probability that the number of successes is at most 5 is:
The exact probability is more than the approximated probability.
(b)
Compute the probability that the number of successes is at most 7 as follows:
The probability of 5 successes is:
**Use the standard normal table for probability.
Thus, the probability that the number of successes is at most 7 is 0.4129.
The exact probability that the number of successes is at most 7 is:
The exact probability is more than the approximated probability.
(c)
Compute the probability that the number of successes is at most 9 as follows:
The probability of 5 successes is:
**Use the standard normal table for probability.
Thus, the probability that the number of successes is at most 9 is 0.7422.
The exact probability that the number of successes is at most 9 is:
The exact probability is more than the approximated probability.
(d)
Compute the probability that the number of successes is at most 11 as follows:
The probability of 5 successes is:
**Use the standard normal table for probability.
Thus, the probability that the number of successes is at most 11 is 0.9357.
The exact probability that the number of successes is at most 11 is:
The exact probability is more than the approximated probability.
Jane must therefore deposit her savings in the four rivers bank.
<h3>What is compound interest?</h3>Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the data provided in the question,
Rate, r = 12%
After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:
For compounded quarterly,
n = 5 × 4
n = 20
A = 40000(1 + 12/(4 × 100))²⁰
A = 72244.44 (i)
If Jane placed her savings with the Four Rivers, then,
A = 40000(1 + 14/(2 × 100))¹⁰
A = 40000 × 1.9671
A = 78686.054 (ii)
Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.
To know more about Compound Interest:
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