Answer:
144cm²
Step-by-step explanation:
Area of square A Aa = La²
Area of square B Ab= Lb²
If the length of each side of square B is 4cm greater than the length of each side of square A, then;
Lb = La + 4 ... 1
Also if the area of square B is 70cm² greater than the area of square A, then;
Ab = Aa + 70
Since Aa = La² and Ab = Lb²
Lb² = La² + 70 ...2
Substitute 1 into 2;
(La+4)² = La²+70
Expand
La²+8La+16 = La²+80
8La+16 = 80
8La = 80 - 16
8La = 64
La = 64/8
La = 8cm
Since Lb = La + 4
Lb = 8 + 4
Lb = 12cm
Area of square B = Lb²
Area of square B = 12²
Area of square B = 144cm²
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
2 4/5 divided by 1 1/3
= 14/5 divided by 4/3
= 14/5 * 3/4
= 42/20
= 21/10
= 2 1/10
Final Answer: 2 1/10
Answer:
128/7 or 18 2/7
Step-by-step explanation:
the decimal answer is 18.28571428... so if you round it, it is 18.3
Answer: y = -2x + 1 1/6
Steps:
2x + 6y = 7
2x + y = 7/6
y = 7/6
y = -2x + 7/6
y = -2x + 1 1/6
