Search & Filtering
- Two given lines are either parallel, skew or intersecting. (6 marks)
- Determine, if there is one, the point of intersection of the lines given by the equations
x−1/−3=y−8/6=z−3/−2 and x−8/4=y+3/−5=z−7/2
b. Give the equations of two lines that meet at the point (–1 5, 2) and which meet at right angles, but do not use that point in either of the equations. Explain your reasoning
A. BAT Industries is a manufacturer of orange juice in Jamaica. In 2022 it sold a bottle of orange juice to wholesalers for $100 and its variable costs is $40 and fixed costs is $100,000 monthly:
Using the information provided.
i. How many bottles of orange juice must the company sell in order to break even and what is the breakeven revenue? (4 marks)
ii. If the company sold 1,500,000 bottles of orange juice for the year 2022, what was its profit? (4 marks)
iii. Due to inflation, in 2023 fixed costs are expected to rise to $175,000 monthly. What will be the NEW break-even quantity and revenue? (4 marks)
iv. If the company will sell the same number of orange juice as it did in 2022 and it wants to make the same profit as in 20222, what price should they sell each bottle of orange Juice for in 2023? (5 marks)
The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 192 teens, 68 reported having more than 100 followers on Twitter. Find the upper bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.
The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 164 teens, 134 reported having more than 100 followers on Twitter. Find the lower bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter.
A random sample of n =300 observations from a binomial population produced x=125. Estimate the population proportion and determine the standard error.
In a math test,the mean score is 45 and the standard deviation is 4. Assuming normality, what is the probility that a score picked at random will kie above 50?
A group of students got the following scores in an achievement test: 9 12 15 18 21 and 24. Consider sample size of 3 that can be drawn from this population. And construct a sampling distribution of the resulting sample means
The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7.10 cm. Which of these two men has the height that is more extreme?
Five hundred children participated in a field demonstration. Their heights averaged 110cm with a standard deviation of 6cm.
1. What is the probability that a child picked at random has a height greater than 116cm?
2. What is the probability that the height of a child picked at random is less than 104cm?
3. What is the probability that the height of a child picked at random is between 110cm and 122cm?
4. How many children have heights between 98 and 104cm?
5. How many children belong to the upper 15% of the group?
A population consists of the five measurements 2,6,8,3 & 1. How many different samples of size n=2 can be drawn from the population? What is the mean and variance of the sampling distribution of the sample means? Follow the steps1to 6
