Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
To solve the problem, what you must do is a system of two equations with two Ingonites that describe the problem.
Let:
x = number of shirt buttons.
y = number of buttons on jackets.
Writing the system:
36x + 42y = 842
6x + 7y = 137
We observe that the system is linearly dependent, therefore, it can not be solved.
However, the solution is to solve the system of two equations with two unknowns.
In order to solve it, the system must be linearly independent.
Answer:
<em>y = - x - 10 </em>
Step-by-step explanation:
y - (- 3) = - (x + 7)
<em>y = - x - 10</em>
Angles a, b, and c are all 60°. A triangle’s angles add up to 180, and if the triangle is equilateral, each angle must be 60 (180/3). Angle d is 120° because b and d form a supplementary angle (180°), so 180-60 is 120. Angle e and f and 30°. Angles c and e form complementary angles (90°), so 90-60=30. For f, if the triangle adds up to 180, 180-120-30 = f. The 120 comes from d and the 30 comes from e. This leaves f as 30.
The 85th percentile is the cutoff time
such that
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
percentile is the top
of the distribution.
Anyway, to find this value of
, transform
to a random variable
with the standard normal distribution using
where
is the mean of
and
is the standard deviation of
.
Here
is used to denote the z-score corresponding to the cutoff time
. Referring to a z-score table, you find that this occurs for
. So,
