31.75 as an improper fraction is 127/4. The mixed number fraction is 31 3/4.
Answer:
range=8, mode=1 Median=3 mean=4
Step-by-step explanation:
range= subtract largest from smallest
mode= most frequent
median= middle in an ordered data set
Mean= add them all up and divide by how many you addded up
Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
Answer:
John’s age is 8 years
Step-by-step explanation:
Let
x -----> John’s father's age
y -----> John’s age
z -----> John’s sister's age
we know that
-----> equation A
-----> equation B
-----> equation C
Substitute equation A and equation B in equation C and solve for y
Multiply by 2 both sides to remove the fraction
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
John’s father's age is 40 years
John’s age is 8 years
John’s sister's age is 4 years
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
