Answer: 0.5507
Step-by-step explanation:
Given: The time between sightings of speeders by a radar system is represented by the continuous random variable X, which follows a cumulative distribution function
If we convert 12 minutes into hours, it equals 
hours or 0.2 hours.
To find the probability of waiting less than 12 minutes:
Thus, the probability we are looking for is: 0.5507
Answer:
AC and OA
Step-by-step explanation:
-A secant refers to a line that intersects two points on a circle.
-We have a square OABC with each side measuring 6cm and a circle with radius r=5cm, centered at O. The circle's radius is shorter than the side of the square:
-The circle intersectsOA andOC, while it does not intersect AB and BC.
Therefore, AC and OA serve as secants for the circle.
Response:
D. The sidelines are parallel because they are perpendicular to a common line.
Justification:
According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.
Answer:
60.36 steps West from center
85.36 steps North from center
Step-by-step explanation:
Refer to the attached
Musah's starting point and movement are depicted in the image.
- 1. He moves 50 steps towards the North,
- 2. Next, he moves 25 steps towards the West,
- 3. Then he proceeds 50 steps on a bearing of 315°. We now recognize that North is measured at 0°
or 360°, so a bearing of 315° corresponds to North-West 45°.
Note: According to the Pythagorean theorem, a right triangle at 45° with hypotenuse 'a' will have legs equal to a/√2.
What is the distance West of Musah's final position from the center?
25 + 50/√2 ≈ 60.36 steps
What is the distance North of Musah's final position from the center?
0.30x represents the expense for the first soda type. 0.35(x+4) signifies the price for the second type of soda. Combine these amounts into an equation structured as:
Cost of Soda A + Cost of Soda B = Total Cost
0.30x + 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Combine the x's and subtract 1.40.65x = 1.95 --> By dividing by 0.65, we find
x = 3
Samir purchases 3 cans of soda priced at 30 cents each and 7 cans (3+4) at 35 cents each. The overall total for Samir's soda is 10 cans.
