Answer:
1120 yd²
Step-by-step explanation:
Surface area =
(Perimeter of the base × Length of the prism) + (2 × Base Area) =
(S1 + S2+ S3)L + bh
(17 + 15+ 8)25 + 15*8
40*25+120
1000+120 =
1120
cuemath
Answer:
35/79
Step-by-step explanation:
Assuming you can't choose the same song a second time, the probability is 35/79.
If you can choose the same song, the probability is 36/80, which reduces to 9/20.
Answer:
The standard error of the sampling distribution of sample mean is: 6.5
Step-by-step explanation:
We use the Central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation, which is also called standard error of the sampling distribution of sample mean is
In this problem, we have that:
The standard error of the sampling distribution of sample mean is: 6.5
9514 1404 393
Answer:
36
Step-by-step explanation:
Let n represent the number of stickers Ms Galinia has. Then the number of students is ...
(n -12)/3 . . . for first distribution of stickers*
(n +4)/5 . . . for the second distribution of stickers
Since the number of students has not changed, we can equate these values:
(n -12)/3 = (n +4)/5
5(n -12) = 3(n +4)
5n -60 = 3n +12
2n = 72
n = 36
Ms Galinia has 36 stickers.
_____
* If Ms Galinia has 12 left over after giving 3 to each student, then subtracting 12 from her number of stickers will give a number that is 3 times the number of students. Dividing (n-12) by 3 will give the number of students. Similar reasoning can be used for the 5-per student distribution.
One could write equations using a variable for the number of students, or variables for both students and stickers. Since we only need to know the number of stickers, it seemed reasonable to use one variable for that.
Answer:
Step-by-step explanation: You can distribute the a first and then subtract what's inside, or you can calculate the inside first and then multiply by a