The table is:0 1 2 3
x1 0 0.08 0.06 0.04 0.00
1 0.05 0.18 0.05 0.03
2 0.05 0.04 0.10 0.06
3 0.00 0.03 0.04 0.07
4 0.00 0.01 0.05 0.06
Expected difference =
+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))
= 0.17
Answer:
1. This means that the actual park size is 50 times larger than the size of the park on the map.
2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;
= 7 * 50
= 350 inches
3. 1 foot is 12 inches so 350 inches will be;
= 350/12
= 29.2 feet
4. The real life length of the car is;
= 5 * 67
= 335 inches
5. The real life length in feet is;
= 335/12
= 27.9 feet
6. Speed = Distance / time
The time should be converted to hours;
= 10/60 minutes
= 1/6
Speed = 9 / (1/6)
= 54 miles per hour
= 54 mph
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = 
= 
= 
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = 
≈ 14. 4 ( to 3 sig. figs )
Answer:
V = 71944000pi
Step-by-step explanation:
V = 226,018,741.869864
The approximate volume of this cylindrical sub is 226,018,741.869864 cubic meters
The probability of spinning a prime number and not flipping heads will be given as follows:
P(Prime)*P(Tails)
P(Prime)=3/5
P(Tails)=1/2
Thus
P(Prime) and P(Tails)
=3/5×1/2
=3/10
