Answer:
Inconsistent - TRUE
Step-by-step explanation:
A system of linear equation is said to be inconsistent if it has no solution. that is from the graph, the lines does not intersect compared to a consistent equations that has solutions and intersect on the graph.
From the written augmented matrix = ( 0)
( 0)
( 0)
( 5)
( 0)
from the second row of the matrix, it is evident that it has no solutions hence INCOSISTENT
To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication.
Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue.
To start, it is given that there are 50 marbles, 20 of them are blue. Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) = (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%
The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%
We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
Answer:
Step-by-step explanation:
Two similar triangles.
10/26 = y/13
y = 5
x² = 13² - y² = 144
x = 12
Answer:
Option B and C is correct
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- Priya has 5 pencils, each x inches in length.
- Total length = 34.5 inches.
Now,
5 times x = 34.5
So,
5x = 34.5
34.5 ÷ 5 = x
Thus, 5x = 34.5 and 34.5 ÷ 5 = x are the answer
<u>-TheUnknownScientist 72</u>
