Answer:
The correct option is (b).
Step-by-step explanation:
If X 
N (µ, σ²), then 
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
The mean and standard deviation of the active minutes of students is:
<em>μ</em> = 60 minutes
<em>σ </em> = 12 minutes
Compute the <em>z</em>-score for the student being active 48 minutes as follows:
Thus, the <em>z</em>-score for the student being active 48 minutes is -1.0.
The correct option is (b).
Answer:
644 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)
✔️Surface area of the large rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 5 cm
H = 20 cm
Surface area = 2(6*5 + 6*20 + 5*20)
= 500 cm²
✔️Surface area of the small rectangular prism = 2(LW + LH + WH)
L = 6 cm
W = 4 cm
H = 12 cm
Surface area = 2(6*4 + 6*12 + 4*12)
= 288 cm²
✔️area of the surface of the small rectangular prism that joins the larger prism = L*W
L = 12 cm
W = 6 cm
Area = 12*6
= 72 cm²
✅Surface area of the composite figure = 500 + 288 - 2(72)
= 644 cm²
Answer:
1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b
5=1(1)+b 4=b
y=x+4
2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b
1=-9/2(1)+b b=11/2
y=-9/x+11/2
3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b
-3=1/3(2)+b -3=2/3+b
-3-2/3=b
b=-11/3
y=1/3x-11/3
4.(2,5)and (4,3) m=-1 y=-1x+b
5=-1(2)+b 5=-2+b
5+2=b
b=7
y=-1x+7
6.(-3,-5) and (-1,-3) m=2/2=1 y=1x+b
-5=1(-3)+b -5=-3+b
-5+3=b
-2=b
y=1x-2
Step-by-step explanation:
3rd one
Reason:
Point slope formula: y-y1=m(x-x1)
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so,
final answer:y+4=1/2(x-1)
I just want points but your answer is Modelo time
