Answer:
Step-by-step explanation:
Hello!
To test if boys are better in math classes than girls two random samples were taken:
Sample 1
X₁: score of a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: Score in the calculus of a girl
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.
To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.
Then you can calculate the interval as:
[(X[bar]_1-X[bar_2) ±
*
]


[(82.3-81.2) ± 1.708* (6.11*
]
[-2.94; 5.14]
Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.
I hope this helps!
A discrete function is a relation where the domain and the range take a specific discrete set of values and not the whole set of the real numbers.
In this case, it's okay to model the scenario with a line because all of the points will fall on the line. Only points corresponding to the integer domain values, however, actually represent the scenario.
Basically, a linear function that represents this situation serves as a prediction model to generalize this type of situation, but for this case, just the value inside the domain makes sense to this particular case.
Answer: All data will be sent in 89.39 hours
Step-by-step explanation:
Data transfer rate: 100 Mbps=100
×
×
=0.3433 
The pigeon can fly 1000 km/day and it needs to fly 400 km (round trip).
Pigeon rate:
=41.67 
Time of round trip: 400 km÷
=9.6 h
So the pigeon can send 1 Tb every 9.6 hours.
If we sum the rates we can get the time for sending all the data:
40 Tb= (0.3433 Tb/h + 1 Tb/9.6h)×t
T= 89.39 hours
Answer:
holy.... that's a lot of variables.
4t+2s+w+u+x+v
Value of n is greater than (-2) and less than or equal to 3.
n = {-1,0,1,2 3}
3x +5 > 16
Subtract 5 from both sides
3x > 16 - 5
3x > 11
x > 11/3
x> 3.67
X= 4 is the smallest value