Of the factors of 12 shown, which also have a sum of 7?

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that $p = \frac{3}{4} = 0.75$

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find $P(X \geq 68)$ .

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001$

$P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001$

$P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001$

So

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003$

$P(X \geq 68)$ is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0

3 years ago

What are the midline, amplitude, and period of the graphed sine function?

Sunny_sXe [5.5K]

The midline, amplitude and period respectively of the given sine graph are; x = 1; 2; π

<h3>Midline, Amplitude and Period</h3>

The midline of this trigonometric graph is defined as the horizontal line that divides the maximum and minimum point distance into two equal parts. In this case, the midline is x = 1

The amplitude of a graphed function is usually the peak of the wave of that graph. In this case, we see that the peak of the graph is at y = 4. Thus, Amplitude = 4

Period is the difference between two consecutive maximum or minimum points. In this graph, the period is π

Read more about Midline, Amplitude and Period at; brainly.com/question/21124447

7 0

2 years ago

The current temperature in Smalltown is 19 °F. This is 7 degrees less than twice the temperature that it was six hours ago. What

Anna007 [38]

Answer:

5 degrees F

Step-by-step explanation:

because 7 x 2= 14

19-14=5

7 0

3 years ago