Answer:
50.29 square inches.
Step-by-step explanation:
Given:
Sara is cutting circles out of pieces of cardboard.
She uses a rectangular piece of cardboard that is 8 inches by 10 inches.
Question asked:
What is the area of the largest circle she could make?
Solution:
Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.
Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:
Breadth = Diameter = 8 inches ( given )
Radius = half of diameter ,
Therefore, area of the largest circle she could make is 50.29 square inches.
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
the quadratic formula work all the time because it is suitable for every equation.
Answer:
It would be (-2, -3)
Step-by-step explanation:
The reflection over the x axis makes the y value negative
Brainliest would be greatly appreciated please! Thanks!
has a reference angle of 30 degrees.
- Quadrant I: 30 degrees
- Quadrant II: 150 degrees
- Quadrant III: 210 degrees
- Quadrant IV: 330 degrees
