Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:
Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Answer:
Each students provides 13 pounds of meal
Step-by-step explanation:
Total students in Ms. Lee class = 220
Total pounds of food collected = 2,860
how many meals did each student provide?
Meals provided by each student = Total pounds of food collected / total number of students
= 2,860 / 220
= 13 pounds
Each students provides 13 pounds of meal
Note: 1.2 pounds of food equals one meal
1.2 pounds : 1 meal = 13 pounds : x meals
1.2/1 = 13/x
1.2 * x = 1 * 13
1.2x = 13
x = 13 / 1.2
= 10.83 meals
Approximately 11 meals to the nearest number
Note:1 kilogram is 2.2 pounds
1 kg : 2.2 pounds = x kg : 13 pounds
1/2.2 = x / 13
1 * 13 = 2.2 * x
13 = 2.2x
x = 13/2.2
= 5.91 kilogram
Approximately x = 6 kilograms
Answer:
(a)
x cubed is
=x^3=x3
5 times the cube of x is
=5x^3=5x3
4 times x is
=4x=4x
the quotient of 4 times x and 3 is
=\frac{4x}{3}=34x
so,
the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is
=5x^3-\frac{4x}{3}=5x3−34x ..........Answer
(b)
5 times cube of x is
=5x^3=5x3
5 times cube of x divided by 4 times x is
=\frac{5x^3}{4x}=4x5x3 ..........Answer
(c)
difference of 5 times x cube and 4 is
=5x^3 -4=5x3−4
so,
the quotient of the difference of 5 times x cube and 4 and x is
=\frac{5x^3-4}{x}=x5x3−4 ...........Answer
(d)
difference of 5 times x and 4 is
=5x-4=5x−4
so,
the cube of the difference of 5 times x and 4 is is
=(5x-4)^3=(5x−4)3 ............Answer
Since Y is the centroid then the larger piece of the median is 2 times that of the smaller piece
10 = 2*(2x - 3)
10 = 4x - 6
16 = 4x
x = 4
