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Virty [35]
3 years ago
8

If right good review

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
The line has a slope of 4
zhannawk [14.2K]3 years ago
5 0

Answer:

a

Step-by-step explanation:

You might be interested in
Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in target
bulgar [2K]

Answer:

1 - If method I is used, population of generalization will include all those people who may have varying exercising habits or routines.  They may or may not have a regular excersing habit.  In his case sample is taken from a more diverse population

2 - Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

Past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

7 0
3 years ago
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12
melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

The probability that a passenger does not show up is 0.10:

This means that the probability of showing up is 1-0.1 = 0.9. So p = 0.9

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets

This means that n = 125

Using the approximation:

\mu = E(X) = np = 125*0.9 = 112.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.9*0.1} = 3.354

(a) What is the probability that every passenger who shows up can take the flight

This is P(X \leq 120), so this is the pvalue of Z when X = 120.

Z = \frac{X - \mu}{\sigma}

Z = \frac{120 - 112.5}{3.354}

Z = 2.24

Z = 2.24 has a pvalue of 0.9875

98.75% probability that every passenger who shows up can take the flight

7 0
3 years ago
What is the vertex of the parabola?<br><br> A. (-1,0)<br> B. (0,-3)<br> C. (1,-4)<br> D. (3,0)
-BARSIC- [3]
The vertex of a parabola is its highest or lowest point. Here, it is the lowest point, which happens right at the bottom of the U-shape—at (1, –4). Therefore, the answer is C.
5 0
3 years ago
Enter the slope intercept equation of the line Shown below.
Tasya [4]

Answer:

The answer is y = 3x + 3.

Step-by-step explanation:

Hope it helped!

3 0
3 years ago
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva
torisob [31]

Answer:

h = 15.163\ meters

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

tan(30) = (h - 1.5) / x

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

tan(45) = (h - 1.5) / (x - 10)

So rewriting both equations using the tangents values, we have that:

0.5774 = (h - 1.5) / x

1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)

From the first equation, we have that:

x = (h - 1.5) / 0.5774

Using this value of x in the second equation, we have that:

h - 1.5 =  \frac{ (h - 1.5) }{0.5774} - 10

h + 8.5 =  \frac{ (h - 1.5) }{0.5774}

0.5774h + 4.9079 = h - 1.5

0.4226h = 6.4079

h = 15.163\ meters

5 0
3 years ago
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