What is the slope of the line

Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sel

GarryVolchara [31]

Answer:

The unusual $X$ values for this model are: $X = 0, 1, 2, 7, 8$

Step-by-step explanation:

A binomial random variable $X$ represents the number of successes obtained in a repetition of $n$ Bernoulli-type trials with probability of success $p$ . In this particular case, $n = 8$ , and $p = 0.53$ , therefore, the model is ${8 \choose x} (0.53) ^ {x} (0.47)^{(8-x)}$ . So, you have:

$P (X = 0) = {8 \choose 0} (0.53) ^ {0} (0.47) ^ {8} = 0.0024$

$P (X = 1) = {8 \choose 1} (0.53) ^ {1} (0.47) ^ {7} = 0.0215$

$P (X = 2) = {8 \choose 2} (0.53)^2 (0.47)^6 = 0.0848$

$P (X = 3) = {8 \choose 3} (0.53) ^ {3} (0.47)^5 = 0.1912$

$P (X = 4) = {8 \choose 4} (0.53) ^ {4} (0.47)^4} = 0.2695$

$P (X = 5) = {8 \choose 5} (0.53) ^ {5} (0.47)^3 = 0.2431$

$P (X = 6) = {8 \choose 6} (0.53) ^ {6} (0.47)^2 = 0.1371$

$P (X = 7) = {8 \choose 7} (0.53) ^ {7} (0.47)^ {1} = 0.0442$

$P (X = 8) = {8 \choose 8} (0.53)^{8} (0.47)^{0} = 0.0062$

The unusual $X$ values for this model are: $X = 0, 1, 7, 8$

6 0

3 years ago

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13 points!!! 34ft 4in - 8=

vredina [299]

If feet:
34' 4" - 8' = 26' 4"

if inches: = 33' 8"

5 0

2 years ago

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Given: AB || CD

jarptica [38.1K]

First, find slope of point A and B using slope formula:
y2-y1 = 7-0 = -7
x2-x1 3-8 5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=-7(x-3) (I used point B here)
5
y=-7x +56 so the y-intercept is 56. Hurray! Part 1 down!
 5 5 5

Now to answer part 2. Since AB ll CD, they have the same slope: -7
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
y-y1=m(x-x1)
y-5=-7(x-5)
 5
y=-7x + 12 Yay! That's the answer to part 2; the equation of line CD
 5

3 0

2 years ago

What are the solutions of 4x2 + x = -3? (5 points) and x2 - 7x = -12 (5 points)

Yuki888 [10]

4x^2 + x + 3 = 0

x = [-1 +/- sqrt (1^2 - 4 * 4 * 3)] / 8 = - 1 +/- sqrt ( --47) / 8

= ( - 1 +/- sqrt47i) / 8 = -0.125 + 0.857i , -0.125 - 0.857i

7 0

3 years ago

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This graph displays a linear function. Interpret the constant rate of change of the relationship.

IgorC [24]

Answer: -3/-1 or 3/1 is the rate of change

Step-by-step explanation: