Answer:
129.4
Step-by-step explanation:
Calculation for what's the total length from the front of the first bus to the end of the last
First step is to multiply the given number of buses by the length of each one
Hence,
12.6 meters x 9 = 113.4 meters
Second step
Since there are 8 spaces in between we would multiply the 8 spaces by 2 meters
8 x 2 meters = 16
Now let calculate total length from the front of the first bus to the end of the last
16 + 113.4 meters =129.4
Therefore total length from the front of the first bus to the end of the last will be 129.4
Answer: y-4=-3(x+4) or y=-3x-8
Step-by-step explanation:
To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).
y-4=-3(x-(-4)) [multiply]
y-4=-3(x+4)
Another equation could be slope-intercept form. It is y=mx+b.
y-4=-3(x+4) [distribute]
y-4=-3x-12 [add both sides by 4]
y=-3x-8
Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).
Answer:
Musah's final point from the centre = 60.355 steps
Step-by-step explanation:
From the given information:
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°
The sketch for this information can be seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far;
Then d = QR + RS cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50(
)
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
Musah's final point from the centre = 60.355 steps
Answer:


Step-by-step explanation:
We know that the mean and the standard error of the sampling distribution of the sample proportions will be :-


, where p=population proportion and n= sample size.
Given : The proportion of students at a college who have GPA higher than 3.5 is 19%.
i.e. p= 19%=0.19
The for sample size n= 25
The mean and the standard error of the sampling distribution of the sample proportions will be :-


Hence , the mean and the standard error of the sampling distribution of the sample proportions :

