Answer:
C. 16x+9=4x
Step-by-step explanation:
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:
![\mu=np\\\sigma=\sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Cmu%3Dnp%5C%5C%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D)
Compute the mean of the random variable <em>X</em> as follows:
![\mu=np=30\times0.37=1.11](https://tex.z-dn.net/?f=%5Cmu%3Dnp%3D30%5Ctimes0.37%3D1.11)
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:
![\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D%3D%5Csqrt%7B30%5Ctimes0.37%5Ctimes%281-0.37%29%7D%3D%5Csqrt%7B0.6993%7D%3D0.836)
The standard deviation of the random variable <em>X</em> is 0.836.
Answer:
10.8
Step-by-step explanation:
To find (f/g)(5), find f(5) and (g5) then divide the values.
f(5) = 7 + 4(5) = 27
g(5) = 1/2 (5) = 2.5
27/2.5 = 10.8
Answer:
The number is 12
Step-by-step explanation:
Let x be the number
160/100 = 1.6
1.6 x = 19.2
x = 19.2 / 1.6
x = 12
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
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The rule of exponents is ...
a^-b = 1/(a^b)