Answer:
Step-by-step explanation:
Let b represent the the number of bagels that she could buy.
At most, she can spend $25. She will spend a total of $3.50 on cream cheese. Each bagel costs an additional $0.90. The cost of b bagels would be 0.9b. Therefore, the inequality that can be used to determine the number of bagels she could buy is
0.9b + 3.50 ≤ 25
0.9b ≤ 25 - 3.5
0.9b ≤ 21.5
Dividing through by 0.9, it becomes
0.9b/0.9 ≤ 21.5/0.9
b ≤ 23.8
The most number of bagels that she could buy is 23
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
With this equation we can define y in function of x as:
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
We can express the total cost of painting as:
To calculate the minimum cost, we derive this function C and equal to zero:
The sides of the room have to be x=10 feet.
The height can be calculated as:
The room will have sides of 10 feet and a height of 8.75 feet.
The domain of f(x) = 4x - 8 is all real numbers and the range is all rean numbers.
Answer:
The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.
Step-by-step explanation:
An Uniform distribution is the probability distribution of outcomes that are equally likely, i.e. all the outcomes has the same probability of occurrence.
Uniform distribution are discrete and continuous.
A discrete uniform distribution describes the probability distribution of discrete random variable that assumes discrete values. For example, roll of a die.
A continuous uniform distribution describes probability distribution of continuous random variable that assumes values in a specified interval. For example, time it takes to reach school from home.
In this case let the random variable <em>X</em> be defined as the time it takes to manufacture a product.
To manufacture 1 unit the time taken is between 5 to 6 minutes.
Every value in the interval 5 - 6 has equal probability.
The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.
The probability density function of a continuous Uniform distribution is:
Product means the answer to a multiplication problem.
So, A. 17 * n is the answer. 17n is also appropriate.