Answer: The mean temperature for the first eight days is 6.5 degrees
Step-by-step explanation: The most important piece of clue has been given which is the mean (average) for the observed data set, which is 7 days.
Note that the formula for the mean of a data set is derived as;
Mean = ∑x / f
Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;
6 = ∑x / 7
By cross multiplication, we now have,
6 * 7 = ∑x
42 = ∑x
This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;
Mean = ∑x / 8
Mean = 52 / 8
Mean = 6.5
The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees
30b+3= s
It would be thirty students times the number of buses, with an addition of 3 students equal to the total number of students when on the field trip.
I hope this helps!
~cupcake
Answer:
D, because for every x, the 3 slowly become slower. IF the thing that is being taken to the power of x is less than one it is a decay
Answer:
The root beer mug
Step-by-step explanation:
To known what vessels holds more root beer, we must find the volume (this is the holding capacity) of the two vessels. From the description given, the mug is a cylinder while the glass is a cone.
The volume V of a cylinder whose height is h and radius r may be found as
V = πr²h
The volume V of a cone with similar features
V = 1/3πr²h
Hence the volume of the mug shaped basically like a cylinder that is eight inches tall with a radius of three inches
= π * 3² * 8
= 72π Inches³
Given that the cone shaped bottle has a diameter of four inches, the radius r = 4/2
= 2 inches
Hence the volume of the bottle
= 1/3 * π * 2² * 18
= 24π Inches³
Based on comparison, the mug holds more root beer
Answer:
(1,-8)
Step-by-step explanation:
We were given three vertices of a parallelogram to be:
(3,-2), (-1,-4), (5,-6).
After plotting the points as shown in the attachment, we realize (3,-2) and (-1,-4) form a diagonal.
The midpoint of this diagonal using the midpoint formula is
is
Recall that, the midpoint of both diagonals are the same.
Let the fourth point have coordinates (x,y).
Then using the midpoint formula again with (3,-2), we have:
This implies that:
and
and
x=1 and y=-8
The coordinates of the fourth point are:
(1,-8)
