Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Answer: £5
Step-by-step explanation:
Bole sold the article for 125% while he bought it for 100%.
Bole sold for £7.50 so £7.50=125%
£7.50/1.25=£6
125%/1.25=100%
£6=100% (the cost Bole bought the article with from Iluguru)
Iluguru sold it at 120% so 120% is £6
To find 100% we divide by 1.2
£6/1.2=£5
Iluguru bought article for £5 originally
Y - y1 = [-9-(-5)]/[(9-10] * (x - x1)
y - (-9) = [-9 + 5] / [-1] * (x - 9)
y + 9 = (-4) / (-1) * (x - 9)
y + 9 = 4(x - 9)
y + 9 = 4x - 36
y = 4x - 36 - 9
y = 4x - 45 This is the slope - intercept form.
y - 4x + 45 = 0 This is the standard form
Answer:
=561.2 square feet
Step-by-step explanation:
top rectangle=19×8=152
bottom rectangle=5×8=40
two slanting rectangles=8×14×2=224
two side trapezium=(19+5)÷2=12
1/2×12×12.1×2=145.2
add them all
152+40+224+145.2=561.2