Evaluate the expression for x = 2 and y = 4. Enter your answer in the box. 16x0 + 2x2 .y-1

On a Sunday night, there are four people on a bus. The bus has five stops left before it end sits route. Suppose each person wil

allochka39001 [22]

There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is binomial probability distribution.

1- 5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2 r is the given point.

Part 1:

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

2. Part 2:

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

3. Part 3:- The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

4. Part 4- The probability that exactly three of the four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

For binomial distribution click

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2 years ago

Enter a positive value for b that makes this statement true: 16 x b is greater than 16 but less than 32.

tatuchka [14]

Answer:

24

Step-by-step explanation:

24

3 0

3 years ago

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192/38 with remanders

guapka [62]

Answer:

5 Remainder 2

3 0

2 years ago

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A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?

Alisiya [41]

Answer:

$y = \frac{1}{4} x$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m= \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}$

Thus, the slope is $\frac{1}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $\frac{1}{4}$ for it. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

$y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x$

5 0

3 years ago

If f(x)=3x and g(x)=1/x what is the domain of (gof)(x)?

melomori [17]

Answer:

f=7x g=3 x=18

Step-by-step explanation:

6 0

3 years ago