Answer:
49, 37
Step-by-step explanation:
Let one number be x and other be y.
According to the first condition:
x + y = 86.....(1)
According to the second condition:
x = y + 12..... (2)
Substituting x = y + 12 in equation (1)
y + 12 + y = 86
2y = 86 - 12
2y = 74
y = 74/2
y = 37
x = y + 12
x = 37 + 12
x = 49
Thus, the two numbers are 49 and 37
Answer:
The p-value of the test is 0.031. How should he interpret the p-value as "There is a 96.9% chance that the true mean of soup sales at the new location is greater than 75 bowls a day"
Step-by-step explanation:
P-value"In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct"
C. negative -1/4 < -(-2/3)
Explanation:
the doube negative on 2/3 turns it into a positive. since negative numbers are less than positive numbers, this is true
Answer:
It isn't possible.
Step-by-step explanation:
Let G be a graph with n vertices. There are n possible degrees: 0,1,...,n-1.
Observe that a graph can not contain a vertice with degree n-1 and a vertice with degree 0 because if one of the vertices has degree n-1 means that this vertice is adjacent to all others vertices, then the other vertices has at least degree 1.
Then there are n vertices and n-1 possible degrees. By the pigeon principle there are two vertices that have the same degree.
Formula:
V = 1/3 * b^2 * h
Plug in what we know:
V = 1/3 * 7^2 * 16
Simplify the exponent:
V = 1/3 * 49 * 16
Multiply all 3 numbers together:
V = 261.3cm^3
