Answer:
The Probability of the pebble landing on red = 1/3
The Probability of the pebble landing on blue = 1/6
The Probability of the pebble landing on white = 1/2
Total sum of probability = 1/3 + 1/6 + 1/2 = 1
The probability that the first pebble lands on blue and second pebble lands on red is:
1/6 * 1/3
= 1/18
Step-by-step explanation:
Red, Red = 1/3 * 1/3
Red, Blue = 1/3 * 1/6
Red, white = 1/3 * 1/2
Blue, Blue = 1/6 * 1/6
Blue, Red = 1/6 * 1/3
Blue, white = 1/6 * 1/2
White, White = 1/2 * 1/2
White, Red = 1/2 * 1/3
White, Blue = 1/2 * 1/6
Hence the correct answer is C) -23
Further explanation:
We have to put the values of m and n into both expression first separately and then multiply the answers.
Given expressions are:
![Exp\ 1:3m-4n\\Exp\ 2: n^2-m](https://tex.z-dn.net/?f=Exp%5C%201%3A3m-4n%5C%5CExp%5C%202%3A%20n%5E2-m)
The values are:
![m=5\\n=-2](https://tex.z-dn.net/?f=m%3D5%5C%5Cn%3D-2)
Putting the values in expression 1:
![3m-4n\\=3(5)-4(-2)\\=15+8\\=23](https://tex.z-dn.net/?f=3m-4n%5C%5C%3D3%285%29-4%28-2%29%5C%5C%3D15%2B8%5C%5C%3D23)
Putting the values of m and n in second expression
![n^2-m\\=(-2)^2-5\\=4-5\\=-1](https://tex.z-dn.net/?f=n%5E2-m%5C%5C%3D%28-2%29%5E2-5%5C%5C%3D4-5%5C%5C%3D-1)
Multiplying both expressions:
![(3m-4n)(n^2-m)=23* (-1)=-23](https://tex.z-dn.net/?f=%283m-4n%29%28n%5E2-m%29%3D23%2A%20%28-1%29%3D-23)
Hence the correct answer is C) -23
Keywords: Polynomials, Putting values in expressions
Learn more about polynomials at:
#LearnwithBrainly
Answer:
lateral area = 2320 m²
Step-by-step explanation:
The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.
Half of the square base is 40/2 = 20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.
Using Pythagoras's theorem
c² = a² + b²
c² = 20² + 21²
c² = 400 + 441
c² = 841
square root both sides
c = √841
c = 29 meters
The slant height of the pyramid is 29 meters.
The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.
area of triangle = 1/2 × base × height
base = 40 meters
height = 29 meters
area = 1/2 × 40 × 29
area = 580
area of one triangle = 580 m²
Lateral area = 4(580)
lateral area = 2320 m²
Input data
Price model rocket = $24
Tax = $1.92
What is the percent of sales tax?
Procedure
r = percent of sales tax
![r=\frac{1.92}{24}=0.08=8\text{ \%}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B1.92%7D%7B24%7D%3D0.08%3D8%5Ctext%7B%20%5C%25%7D)
The answer would be 8%
Answer:
14,800
Step-by-step explanation:
To find the volume of an object, simply multiply its hight, length, and width together.
16*25*37
16*25=400
400*37=14,800
The rectangular prism has a volume of 14,800.
Hope this helps!