Answer:
length=24 inches and width=12 inches
Step-by-step explanation:
Let width of the rectangular sheet be x.
Then its length is twice as width = 2x
From each corner 3-inch square is cut to form a tray.
The length of the tray formed = l = 2x-6 (total length - length of 2 squares cut out from both ends)
The width of the tray formed = b = x-6 (total width - length of 2 squares cut out from both ends)
Height of the tray formed = h = 3 inches
Volume of the tray = l*b*h = (2x-6)*(x-6)*3 = 324 cubic inches.
The length and width of the sheet is 24 and 12 inches respectively.
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!
This system of equations has no solution, the 2 lines will never cross
Answer:
can't see question
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Math definition Mode means anything that repeats more than anything else.
Eg.(4, 5, 6, 2, 2, 4, 4, 4, 4, 5, 3, 5)
The mode in the bracket is 4. Some of the numbers occured more than once but 4 occured the most that's why it's 4
