Step-by-step explanation:
Sn=n/2(2a+(n-1)d)
910=n/2{2a+(n-1)d}
1820=n{2a+(n-1)d}
1820=20{2a+(20-1)d}
1820=20{2a+19d}
91=2a+19d
An=a+(n-1)d
95=a+(20-1)d
95=a+19d
91=2a+19d
---------------
4=-a
a=-4
91=2a+19d
91=2(-4)+19d
91=-8+19d
91+8=19d
99=19d
d=99/19
A=-4
X=-56/3
multiply everything by 4 to cancel the fraction which will give you
3x+20=-36
then combine like terms to get
3x=-56
then divide to get x by itself to get
x=-56/3
since this is a weird decimal, leave it as an improper fraction
25 x 13 = 325
20x 8 = 160
325-160 = 165 square feet
answer is A
Answer: c)
Step-by-step explanation:
This can be done through trial-and-error. Use the pythagoreas' theorem
and if the left side of the equation is equal to the right, that is the answer.
(Do take note that c is the longest side.)
a)


Since
, a) is wrong.
b)

Since
, b) is wrong.
c) (answer)

Since
, c) is correct.
d)

Since
, d) is wrong.
Answer:
The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.
Step-by-step explanation:
Let <em>X</em> = number of students who have laptops.
The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.
A random sample of <em>n</em> = 30 students is selected.
The event of a student having a laptop is independent of the other students.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The mean and standard deviation of a binomial random variable <em>X</em> are:

Compute the mean of the random variable <em>X</em> as follows:

The mean of the random variable <em>X</em> is 1.11.
Compute the standard deviation of the random variable <em>X</em> as follows:

The standard deviation of the random variable <em>X</em> is 0.836.