Mia used One Third of the felt for her art project. 3/3 would be the whole felt together. Since one part of three sections was used up then this means that 1/3 was used.

4 0

3 years ago

Make w the subject of the formula p = 2w+7 divided by 12

Reptile [31]

Answer:

w = (12p - 7) / 2

Step-by-step explanation:

p = (2w + 7) / 12

12p = 2w + 7

2w = 12p - 7

w = (12p - 7) / 2

4 0

2 years ago

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(

mel-nik [20]

Answer:

(a)

c=1/2

cdf is $F(x) = x^2$

Step-by-step explanation:

Remember that if $f$ is the pdf of a random variable X .

$\int\limits_{-\infty}^{\infty} f(x) \,dx = 1$

Then,

(a)

$\int\limits_{-\infty}^{\infty} 4xc \,dx = \int\limits_{0}^{1} 4xc \, d x = 2c = 1$

Therefore

c=1/2

and

$f(x)=2x$

then to compute the cdf, we have

$F(x) = P(X \leq x) = \int\limits_{-\infty}^{x} 2y \,dy = \int\limits_{0}^{x} 2y \, dy = x^2$

7 0

2 years ago