Answer:
6.67408 × 10^-11 m^3 kg^-1 s^-2
Step-by-step explanation:
F = G M 1 M 2 d 2 , where F is the gravitational force between two point masses, M1 and M2; d is the distance between M1 and M2; G is the universal gravitational constant, usually taken as 6.670 × 1011 m3/(kg)(s2) or 6.670 × 10−8 in centimeter–gram–second units. a = F M 1 = G M 2 r 2 .
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645
Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
So first find the circumfernece of the earth which is 24,901 times 5280
use a calculator
24,901 times 5280=131,477,280ft
1 ft=12 inches so 131,477,280 times 12=157,727,360 in
so 157,727,360 divide by the legnth of the case=1,577,727,360/15.1=104,485,255.62914 cases to go around the earth once so
million=1000 thousand
billion=1000 million
billion=1,000,000,000
2.6 billion=2,600,000,000
so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>
AREA OF THE BASES
base=legnth times width so 15.1 times 8.3 =125.33 in^2
multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases
PERIMETER OF THE BASES
perimeter of the bases 2Legnth+2Width times 2.6 billion
2(15.1)+2(8.3)=46.8
46.8 times 2.6 billion=121,680,000,000 inches or 1.2168 times 10^11= perimeter of all the bases
VOLUME
24 1/2 liter bottles means 24 times 1/2=12 liters in each pack
2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
A) Let x = number of presale tickets
<span>y = number of day of show tickets </span>
<span>x + y =< 800 </span>
<span>6x + 9y >= 5000 </span>
<span>b) 6x + 9y >=5000 </span>
<span>6(440) + 9y >=5000 </span>
<span>y >= 262.2 </span>
<span>263 tickets </span>
<span>440 advance purchase tickets added to 263 day of show tickets is 703 tickets, which is below the 800 ticket maximum.</span>
