Answer:
0.012 km/hr
Step-by-step explanation:
(1200 cm)(1 m/100 cm)(1 km/1000 m) = 0.012 km/hr
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
Density (D) is calculated as mass (m) divided by volume (v).
D = m / v
The volume change is determined by measuring the water level before and after the object is introduced to the beaker,
v = 23.1 mL - 18.5 mL = 4.6 mL
Substituting into the density formula,
D = 8.24 g / 4.6 mL = 1.79 g/mL
Therefore, the density is roughly 1.79 g/mL.
1/ 816
Step-by-step explanation:
Step 1 :
Assumptions made
Number of students in the school = 18
Number selected randomly = 3
Step 2 :
Calculating number of ways to choose 3 students from a group of 18:
C(18,3) = 18! /(3!(18-3)!) = 18*17*16/3*2*1 = 816
Ways to choose the youngest 3 students = 1
Hence, the probability of picking the 3 youngest students from this group is 1/ C(18,3) = 1/ 816
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