Answer:
chocolate= 180 students
vanilla= 120
strawberry= 210
mango= 210
Step-by-step explanation:
The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate
720/4= 180
The vanilla section is 60 degrees which is 2/3 of 90
180/3=60
60x2=120
the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students
Answer:
x=−7
Step-by-step explanation:
(x+4)(2)−3(x+4)−3=0
(x)(2)+(4)(2)+(−3)(x)+(−3)(4)+−3=0(Distribute)
2x+8+−3x+−12+−3=0
(2x+−3x)+(8+−12+−3)=0(Combine Like Terms)
−x+−7=0
Answer: Median = 44
lower quartile = 38
upper quartile= 55
Step-by-step explanation:
Answer:
141.12 cm^2
Step-by-step explanation:
Since the area of a trapezoid is the average of the bases multiplied by the height, we can just plug these numbers into the equation! Since the average of 10.2 and 12.2 is 11.2, and the height is 12.6, we multiply them to get the area to be 141.12 cm^2.
Since each vector is a member of
, the vectors will span
if they form a basis for
, which requires that they be linearly independent of one another.
To show this, you have to establish that the only linear combination of the three vectors
that gives the zero vector
occurs for scalars
.
Solving this, you'll find that
, so the vectors are indeed linearly independent, thus forming a basis for
and therefore they must span
.
