Answer:
2/3 × 9/5 = 18/15 = 6/5 if need to simplify. or 1 1/5
Step-by-step explanation:
9514 1404 393
Answer:
20 minutes
Step-by-step explanation:
The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...
time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Answer:
Probability =0.9898
Step-by-step explanation:
Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898