Answer:
C) isosceles triangle
Step-by-step explanation:
equilateral triangle has all sides the same and all angles the same
180/3 = 60 so each angle is 60 degrees
A) obtuse triangle
means it has an angle bigger than 90 degrees
B) right triangle
that means it has an angle at 90 degrees
C) isosceles triangle
That means it has 2 sides that are the same
D) scalene triangle
that means it has no sides the same
If it has 3 sides the same. it must have 2 sides the same. So any equilateral triangle must be an isosceles triangle
Answer:
15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4 minutes
Standard Deviation, σ = 0.25 minutes
We standardize the given data.
Formula:
P(more than 4.25 minutes to solve a problem)
Calculation the value from standard normal z table, we have,
Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.
Answer:
C. {-1, 5, 8}
Step-by-step explanation:
Use each of the domain values in the function to see what the corresponding range value is.
f(-1) = 5 -3(-1) = 8
f(0) = 5 -3(0) = 5
f(2) = 5 -3(2) = -1
The range is the set of numbers {-1, 5, 8}.
_____
<em>Additional comment</em>
The values in a set are generally listed lowest to highest. The coefficient of x in the equation for f(x) is negative, meaning the lowest range value will correspond to the highest domain value. If you start by finding f(2) = -1, you immediately eliminate all answer choices except B and C.
Those choices differ only in the middle value, so you can tell which is correct by evaluating f(x) for the middle domain value: f(0) = 5. Only one answer choice has both -1 and 5 in the set.
(There are two answers here: how you work the problem, and how you game a multiple choice question.)
Answer:
1. 6
2. 24
Step-by-step explanation:
Substitute in the values for <em>t</em> and solve the expression.