Answer:
645/16
Step-by-step explanation:
Answer:
The answer is 40 5/16
~hope this has helped you, have a gr8 day/night my friend!~
Step-by-step explanation:
Answer:
120 yards 1.
Step-by-step explanation:
In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:
Area of rectangle = length × width
12 × 15 = 180 yards²
Area of triangle = ½ × base × height
½ × 10 × 12 = 60 yards²
Now subtract the area of triangle from the area of rectangle:
180 - 60 = 120 yards ²
Answer: Write an augmented matrix for the system. Then state the dimensions. x+8y−7z=12 5x+9y+5z=15 6z−3y−8x=1
Step-by-step explanation: x+8y-7z=12 5x+9y+5z=15 6z-3y-8x=1. - 18028782.
The system of equations provided can be converted into an augmented matrix as follows: [[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]. The dimensions of this matrix are 3x4.
The provided system of equations is:
1. x + 8y - 7z = 12
2. 5x + 9y + 5z = 15
3. -8x - 3y + 6z = 1
We can represent this system as an augmented matrix by aligning the coefficients of the variables and the constants. The augmented matrix is:
[[1, 8, -7, 12], [5, 9, 5, 15], [-8, -3, 6, 1]]
The dimensions of this matrix represents the number of rows and columns it has. In this case, this matrix is a 3x4 matrix because it has 3 rows and 4 columns.
#SPJ12
Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
The number, 6.5892 , given that it ends, which fits the definition, is therefore a rational number.
A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not 0. 6.5892 can be expressed as the fraction 65892/10000, which is a simplified fraction with an integer numerator and denominator.
An irrational number is a number that cannot be expressed as a fraction of two integers. Examples of irrational numbers include pi (π) and the square root of 2.
A simple reminder, Rational numbers can be written as fractions. Irrational numbers cannot be written as fractions.
Find out more on rational numbers at brainly.com/question/19079438
#SPJ3
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Answer:
6p
Step-by-step explanation:
Answer:
f(x)=4(x-(-3))+7
Step-by-step explanation:
vertex form= f(x)=a(x-h)^2 +k
vertex= (h,k)
x=-2
f(x)=11
plug in all the variables
11=a(-2-(-3))^2 +7
simplify the right side
11=a(1)^2+7
11=a+7
subtract 7
4=a
equation= f(x)=4(x-(-3))+7