The equation f(x) = 3x represents this relationship.
Answer:
Step-by-step explanation:
According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,
z = (x - µ)/(σ/√n)
a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)
From the information given
µ = 50402
σ = 6000
z = (52000 - 50402)/(6000/√100) = 2.66
Looking at the normal distribution table, the probability corresponding to the z score is 0.9961
b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)
From the information given
µ = 49703
σ = 10000
z = (52000 - 49703)/(10000/√100) = 2.3
Looking at the normal distribution table, the probability corresponding to the z score is 0.9893
c) The probabilities of either jobs paying that amount is high and very close.
You should get 53 degrees.
Answer 1 with Explanation
Obtained from the question, Mario builds a triangular table to fit in a corner of the bedroom with the construction measure of 45,90 and 45 degrees which will be possible. In order to construct any physical object, proper tool are needed for accuracy of the object to built more than one of the similar table. With the help of proper instruments and measurement Mario can easily make a triangular table for his room's corner.
Answer 2 with Explanation
As Mario built the triangular table for the corner to fit his bedroom corner. He make use of the special instrument and tool for the measurement. Indeed, it is possible to construct more than one table with the angles 45,45,90 as each of them will be similar in shape but with different values of x, hence it will differ in sizes in terms of length. The length will differ as per the requirement of Mario's needs.
Answer:
<u>The area of the larger triangle is 315 inches²</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Pre-image triangle has a base of 7 inches and a height of 10 inches
Scale used : Factor of 3
2. What is the area of the larger triangle??
For calculating the area of the larger triangle, we use the scale this way:
Base = 7 inches * 3
21 inches
Height = 10 inches * 3
30 inches
Area of the larger triangle = 1/2 (Base * Height)
Area of the larger triangle = 1/2 (21 * 30)
<u>Area of the larger triangle = 630/2 = 315 inches²</u>
