Answer:
If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable y
.
y
≈
2.45043159
Step-by-step explanation:
Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
Complete question :
On average, light emitted from the Sun takes 8 minutes 19 seconds to reach Earth. Using your approximated speed of light from part (b), as well as the equation distance = rate x time, calculate the approximate distance from the Earth to the Sun in meters. Write your answer in standard form and in scientific notation.
Answer:
1.497 * 10^8km
149700000 km
Step-by-step explanation:
Given that:
Time taken = 8 minutes 19 seconds
Speed of light = 3 * 10^8 m/s
Distance from earth to sun :
Speed * time
(3 * 10^8) * ((8 * 60) + 19)
(3 * 10^8) * 499
= 1497 * 10^8 m or 1497 * 10^5 km = 1.497 * 10^8km
= 149700000000 m
= 149700000 km
= 1497
Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is
.
- The standard deviation is
.
- A sample of 30 is taken, hence
.
The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:
By the Central Limit Theorem:
has a p-value of 0.0008.
1 - 0.0008 = 0.9992.
The power of the test is of 0.9992 = 99.92%.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213
