Find x to the nearest whole number

Find a ratio that compares the relative sizes of the quantities.<br><br> 3 weeks to 3 days

GuDViN [60]

Answer:

3 to 3, 3/3

Step-by-step explanation:

4 0

2 years ago

A) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n

kramer

Answer:

a) The value of A = 2

b) The value of $B = \dfrac{1}{12}$

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; $P[X = n] = \dfrac{A}{3^n}$ for some constant A and n ≥ 1.

Then, let $\sum \limits ^{\infty}_{n =1} P[X =n] = 1$

This implies that:

$A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1$

$A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1$

$A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1$

$A \times \dfrac{1}{2}=1$

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

$f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.$

where; B is constant.

Then, using the property of the probability density function:

$\int ^3_0 \ B (x^2+1 ) \ dx = 1\\$

Taking the integral, we have:

$B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1$

$B \Big [\dfrac{3^3}{3} +3 \Big ]= 1$

$B \Big [\dfrac{27}{3} +3 \Big ] = 1$

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

$B = \dfrac{1}{12}$

5 0

3 years ago

What is the length of a diagonal of a cube with a side length of 10 cm?

docker41 [41]

Square root of 300
step by step equation

5 0

3 years ago

Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25 Find the tip using that method. Halp

gizmo_the_mogwai [7]

Answer:

$3.4875

Step-by-step explanation:

AS the ride is completed and according the rule the person have to give a tip on the total taxi ride

according to the given

tip given 15%

Total ride cost = $23.25

To find is the total tip given in dollars

Solution:

Total tip in dollars = 15 % of total ride cost

Putting the values of the given

Total tip in dollars = 15 % of 23.25

it can be written as

= $\frac{15*23.25}{100}$

= $\frac{348.75}{100}$

=$ 3.4875

So the total tip would be $3.4875

7 0

3 years ago

For the piecewise function, find the values h( - 6), h(0), h(5), and h(9).- 5x – 13, for x < -3h(x) = { 5, for - 35x<5for

sleet_krkn [62]

Given the piecewise function h(x):

$h(x)=\begin{cases}-5x-13,x$

-When x is less than "-3", h(x)=-5x-13

-When x is between -3 and 5, h(x)=5

-When x is greater than or equal to 5, h(x)=x+1

1) For h(-6), this notation indicates that you have to determine the value of h(x) when x=-6

-6 is less than -3, which means that for this value of x, the function has the following shape

$h(x)=-5x-13$

Replace the expression with x=-6 and calculate the corresponding value of x:

$\begin{gathered} h(-6)=-5(-6)-13 \\ h(-6)=30-13 \\ h(-6)=17 \end{gathered}$

2) For h(0), you have to determine the value of h(x) when x=0. Zero is between -3 and 5, for this value of x, the function h(x) has the following shape:

$h(x)=5$

This equation represents a horizontal line, which means that for every value within the interval of definition -3≤x<5, the function always has the same value h(x)=5

We can conclude that: