Answer:
34
Step-by-step explanation:
The mean is calculated as
mean = 
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34
Answer:
B
Step-by-step explanation:
parentheses exponents multiplication division addition subtraction
C is irrational because there is no definite square root for 15 whereas the square root of 36=6
Answer:
Step-by-step explanation:
x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)
now, for m of WYL
notice, YLW = 90°
also, UWL = 42°
name the intersection point of YL and WU as O in your mind
Apply angle sum property of a triangle for triangle WOL
angle WOL + angle UWL + angle YLW = 180
angle WOL + 90 + 42 = 180
angle WOL = 180 - 132
angle WOL = 48
now focus on line LOY
since LOY is a line, the angles a line intersecting it forms a linear pair, i.e
angle WOL + angle YOW = 180
48 + YOW = 180
angle YOW = 132
Now, apply angle sum property for triangle YOW
angle YOW + angle YWO (x) + angle WYO (or WYL) = 180
132 + 42 + WYO (or WYL) = 180
WYO (or WYL) = 6°
ask me in the comments if you have any doubts in this
Answer:
5
Step-by-step explanation:
First divide each side by 5
so you'll get
2x+4=3
2x=-1
x=-1/2