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cestrela7 [59]
3 years ago
14

Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of th

e rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?​
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

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Answer: The confidence interval would be (0.2928,0.3672).

Step-by-step explanation:

Since we have given that

Total number of vehicles = 432

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At 90% confidence interval,

z = 1.645

So, the confidence interval would be

\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.33\pm 1.645\sqrt{\dfrac{0.33\times 0.67}{432}}\\\\=0.33\pm 0.0372\\\\=(0.33-0.0372,0.33+0.0372)\\\\=(0.2928,0.3672)

Hence, the confidence interval would be (0.2928,0.3672).

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3 years ago
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A window-washer is climbing a 37-foot ladder leaning against a building. The ladder touches the building 35 feet above the groun
sasho [114]

Answer: the distance from the bottom of the ladder to the base of the building is 12 feet.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance from the ground to the point where the ladder touches the wall of the building represents the opposite side

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4 years ago
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We have to find out which two events are disjoint.

Two events are disjoint if both cannot happen simultaneously or Probability of both occurring is strictly 0.

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These are disjoint because a student cannot be a senior and junior both.

b) Choose a student at random from a statistics class. Event A is that the student is a psychology major. Event B is that the student is a statistics major.

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