The 2 marked angles are alternate angles and so they are equal.
Therefore:- 3x + 5 = 65
3x = 60
x = 20 (answer)
Answer:
The Probability = 0.16
Step-by-step explanation:
Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Average = 13.1 years
Standard deviation = 1.5 years
x = 14.6 years
= 14.6 -13.1/1.5
= 1
This falls within 1 standard deviations of the mean
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Hence:
100 - 68%/2 = 32/2 = 16%
Converting to probability = 0.16
The probability of a meerkat living longer than 14.6 years is 0.16
Answer:
-9
Step-by-step explanation:
1y+11=20
-11=-11
-1y=20-11
-1=9
-9
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
0.25x + y = 12
Step-by-step explanation:
Given
Kiran is spending $12 on games
it means that he can spend total of $12 on rides and games
number of games is represented by x
cost of 1 game = $0.25
cost of x games = $0.25*x = $0.25x
number of rides is represented by y
cost of 1 rides = $1
cost of x rides = $1*y = $y
Total cost for x games and y rides =cost of x games + cost of y rides
Total cost for x games and y rides = $0.25x + $y
given that Kiran is spending $12 on games
Total cost for x games and y rides will be $12
thus,
$12 = $0.25x + $y
removing dollar sign for equation formation
0.25x + y = 12
given above is the equation to represent the relationship between the dollar
amount Kiran is spending and the number of games, x, and the number of
rides, y.
