Search & Filtering
In a large population, 58% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?
An amount of money is invested at 8% interest per year, compounded quarterly. After a number of years, the
accumulated amount in the account is R7 365,00. The investment earned R2 000,00 interest in this period.
If the accumulated amount is left in the account (the interest rate remains the same) for another period that
is one year longer than the first period, the accumulated amount in the account will then be
A sum of R8 000,00 is lent in the beginning of a year at a certain simple rate of interest. After eight months,
in a different loan, a sum of R1 164,00 more is lent but at the simple interest rate twice the former. At the
end of the year, R903,00 is earned as simple interest from both the loans. The original simple yearly rate of
interest, rounded to two decimal places, is
A local high school needs to hire several cafeteria workers and bus drivers. Cafeteria workers earn R13 800
per month and bus drivers earn R17 250 per month. The school board gave the school permission to spend
no more than R345 000 on the salaries per month, but must hire more than 15 people.
Let B represent the number of bus drivers hired.
Let C represent the number of cafeteria workers hired.
For every bus driver hired there must be at least two cafeteria workers hired. The number of cafeteria
workers must at most be three more than twice the number of bus drivers.
Write a system of linear inequalities that the school could use to determine the number of cafeteria workers
and bus drivers they can hire
x - 3y + 6z = 21
3x + 2y - 5z = - 30
2x - 5y + 2z = -6
The sum of values of x
x, y
y, and z
z of the solution is
Calculate the percent yield for the reaction: P4 (s) + 6 Cl2 (g) → 4 PCl3 (l) if 75.0 g of phosphorus reacts with excess chlorine gas to produce 111.0 g of phosphorus trichloride.
a) As the meteor falls through the atmosphere the gravitational force continues to act on it. Suppose in a given instance the meteor is at a distance of 4000 km from earth. What would be the direction of the force that acts on it at that location?
b) Imagine it has approached near earth and now it is at a distance of 400 km from earth. What will be the direction of the gravitational force now?
When a meteor falls on earth across the earth's atmosphere there acts 3 forces on it. 2 of them are the gravity and the upthrust. Mention the third force.
When a meteor falls on earth across the earth's atmosphere there acts 3 forces on it. 2 of them are the gravity and the upthrust. Mention the third force.
During the pandemic, online ordering of groceries and household supplies was offered by many stores as an accommodation for shoppers who preferred not to visit crowded stores in person. An online grocery shopping service claims that its mean delivery time is less than 120 minutes with a population standard deviation of 30 minutes. A random sample of 49 orders is delivered with a mean of 100 minutes. At the 95% confidence level, is there enough evidence to support the claim? Assume the data are normally distributed. Use the critical value method and respond to the prompts below.
