<h2>
Answer with explanation:</h2>
We know that a removable discontinuity occurs when:
The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.
Also it is a point on the graph such that it is undefined at that point.
The graph that has a removable discontinuity is attached to the answer.
Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.
Answer:
137.5 in^2
Step-by-step explanation:
So, this is basically a rectangle and two right-sides triangles.
First the rectangle: Formula is A=wl
Replace the Values: A = 14*7 98 in^2
Then we solve for the two right-sides triangles.
A= 1
/2a
h=
1
/4
b
^2
sin
(2
θ
)
Top trinangle= A = 25.5 in^2 (height 7 in base 7 in)
Bottom Trinagle A = 14 in^2 (height 7 in base 4 in)
Add results:
98+25.5+14 = 137.5 in^2
Answer:
Ratio is how many times a number contains another. A ratio can be found by doing the equation multiplying or dividing each term in the ratio by the same number
Step-by-step explanation:
Answer:
(1) If the GCD of 5 and 12 is 1, then they are co-prime.
(2) The sum of 5 and 12 is 7 if and only if 5 is a negative integer.
Step-by-step explanation:
(1)
The GCD (greatest common divisor) of two or more numbers, which are not all equal to zero, is the largest positive integer number which divides each of the numbers.
If the GCD of two numbers is 1, then the two numbers are known as coprime or relatively prime or mutually prime.
(2)
The sum of 5 and 12 is 7 if and only if, the number 5 is a negative integer, i.e.
-5 + 12 = 7
Answer:
a. at least 20%, when in fact, it is less than 20%.
Step-by-step explanation:
Type 1 Error is to reject null hypothesis when it is actually true.
Here the null hypothesis is fewer than 20% of Evergreen Valley College (EVC) students attended the show.
In mathematics fewer than 20% means less than 20%.
So the null hypothesis is that less than 20 % students attended the show.
We have to reject this hypothesis .
We can reject this hypothesis when we assume that the % is greater than or equal to 20 %
At least 20% means greater than or equal to 20%.
So the best choice is option a.
at least 20%, when in fact, it is less than 20%.