Answer:
the slope is defined as the change in price divided by the change in quantity supplied between two points (i.e. the two ordered pairs). we can use the following formula to calculate it: m = (y2 – y1)/(x2 – x1). in the case of my example, the two ordered pairs are (2, 500) and (1, 250)
Step-by-step explanation:
Answer:
And we can find the probability using the normal standard distribution table and with the complement rule we got:
Step-by-step explanation:
For this problem we have the following parameters:
We select a sample size of n =100 and we want to find this probability:
The distribution for the sample mean using the central limit theorem would be given by:
And we can solve this problem with the z score formula given by:
And if we find the z score formula we got:
And we can find the probability using the normal standard distribution table and with the complement rule we got:
Answer:
-2
Step-by-step explanation:
change in y divided by change in x
4÷-2 = -2
let second account initial amount be x,
first account initial amount = x - 5
after a month,
first account = 3 (x - 5)
= 3x - 15
second account = 2x
3x - 15 = 2x
x = 15
original in first account = 15 - 5
= $10
original in second account = $15
C. 65 degrees.
Triangles must equal 180 degrees. The given 50 means the rest of the triangle is equal to 130. I believe because of the Side-Angle-Side theorem of triangles (if my knowledge of proofs from 3 years ago is still with me), the two remaining angles are equal to each other. Let's call them X. 2x = 130. Divide both sides by 2. 130/2 = 65. So x=65