Answer:
The histogram of the data is attached below.
Step-by-step explanation:
A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.
The data provided is:
X Frequency
1 12
2 3
3 7
4 9
5 18
6 14
The histogram of the data is attached below.
Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.
Answer: $9.
Step-by-step explanation:
It is given that,
Regular price of a new chair = $75.00
This week the chair will be on sale at a 12% discount. So,
Rate of discount = 12%
We need to find the amount of money that will Jessica save if she buys the chair this week.
Therefore, Jessica will save $9 if she buys the chair this week.
Answer:
u=(1,1,2), v=(-3,1,2), w=(1,-2,1/2)
Step-by-step explanation:
Since the vectors must be orthogonal, then they must satisfy that the dot product between them is 0.
Then
and .
Solving for y, y=-2z-1 and substituting in the first equation, -3+2z+1+2z=0, then
z=1/2, and y=-2(1/2)-1=-2
Answer:
Step-by-step explanation:
The given quadratic trinomial is
Where a=6, b=-13 and c=-5
The factors of -30 that add up to -13 are -15,2
We split the middle term to get:
Factor by grouping:
These completely factors to: