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3 years ago

A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the value of P?

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

5 0

We know that
P is the perimeter of the base of the triangular prism
in this problem the base is a triangle
so
perimeter of the triangle=length side 1+ length side 2+length side 3+6
length side 1=16 m
length side 2=10 m
length side 3=10 m

perimeter of the triangle=16+10+10+6-----> 42 m

the answer is
42 m

Afina-wow [57]3 years ago

4 0

Answer:

A) 36 m

Step-by-step explanation:

We are given a triangular base with the following measures:

Length 1 = 16 m, length 2 = 10 m, and length 3 = 10 m

P represents the perimeter of the base.

Perimeter is nothing but the sum of all the boundaries lengths.

So, P = length 1 + length 2 + length 3

= 16 + 10 + 10 [We need not add 6 because it is inside the triangle]

P = 36 m

Therefore, the value of P is 36 m

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7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers

shusha [124]

Answer:

You must survey 784 air passengers.

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 is:

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

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So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that $\pi = 0.5$ , which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

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

$0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.035\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.035}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2$

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3 years ago

The quotient of x and 3

ddd [48]

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3 years ago

A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome

Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable X represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), p = 0.52

The random variable X thus follows a Binomial distribution with parameters n = 5 and p = 0.52.

(1)

Compute the probability of overbooking as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

$=P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135$

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

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Thus, the probability that the flight has empty seats is 0.4625.

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Answer:

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Step-by-step explanation:

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Vanyuwa [196]

Answer:

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Step-by-step explanation:

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