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enyata [817]
3 years ago
12

HELP ME PLEASE Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future c

ollege plans.
Are you attending an in-state college after high school graduation?

Will you begin college during the summer semester?

The same group of students are asked to answer yes or no to both questions. The students’ responses were recorded on the table below.


Attending an


In-State


College Not Attending


an In-State


College

Begin Summer


Semester 178 21

Won't Begin


Summer


Semester 301 162

Determine the probability that a student will begin college during the summer semester and attend an in-state college.

Determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.
Mathematics
2 answers:
seropon [69]3 years ago
5 0
No and yes I wish I could help p
Fed [463]3 years ago
3 0

Answer:

178/662

Step-by-step explanation:

(a)The probability that a student will begin college during the summer semester and attend an in-state college.

P(A student will begin college during the summer semester and attend an in-state college)

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Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di
forsale [732]

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

p=4,q=2

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

3 0
3 years ago
Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants
musickatia [10]

Answer:

We need a sample size of at least 1161.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error for the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.22

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large a sample should she take?

We need a sample size of at least n.

n is found when M = 0.02

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}

0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}

\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}

(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}

n = 1160.88

Rounding up

We need a sample size of at least 1161.

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