Answer:
C
Step-by-step explanation:
General Form of an equation of a line is given by: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where,
m is the slope, and
b is the y-intercept (point where line cuts the y-axis)
Also, parallel lines have equal slopes.
Equation of first plane is given as ![d=3.67t+4.81](https://tex.z-dn.net/?f=d%3D3.67t%2B4.81)
Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.
<em>The </em><em>second plane </em><em>is going </em><em>parallel</em><em> to this. So slope should be same. Hence </em><em>second plane has slope of 3.67. </em><em>We can write:</em>
<em>
</em>
<u>To find the equation of second plane</u>, we need to solve for c. Also, a point given for second plane is
, substituting these values into the equation we got, we get the value of c:
![2.14=3.67(0)+c\\2.14=0+c\\c=2.14](https://tex.z-dn.net/?f=2.14%3D3.67%280%29%2Bc%5C%5C2.14%3D0%2Bc%5C%5Cc%3D2.14)
We already know m and now we know c, so we can write final equation as:
![d=3.67t+2.14](https://tex.z-dn.net/?f=d%3D3.67t%2B2.14)
Answer choice C is right.
All the parts of the questions about the given histogram have been answered below.
<h3>
What is a histogram?</h3>
- A histogram is a graph that depicts the frequency of numerical data using rectangles.
- The vertical axis of a rectangle represents the distribution frequency of a variable (the amount, or how often that variable appears).
(A) The distribution of minting year:
According to the histogram, the distribution of minting years is 1900-1910 and 1940-2020.
(B) The median:
Add the two middle numbers together and divide them by two to get the median.
10 + 15 / 2 = 12.5
So, the median is somewhere between 10-15.
(C) The range:
The range is computed by subtracting the lowest and highest values.
25 - 0 = 25
So, the range is 25.
(D) The potential outliers:
According to the histogram, the potential outliers are 1910-1940.
Therefore, all the parts of the questions have been answered.
Know more about histograms here:
brainly.com/question/2962546
#SPJ4
So the probability of rolling a number greater than 2 is 4/6. So 4/6 times 150 should give you the answer 100.
The distance between Jacksonville, FL and Tallahassee, FL would be about 160 miles apart.
Answer:
x
11
Step-by-step explanation:
![8\left(x+1\right)-7x](https://tex.z-dn.net/?f=8%5Cleft%28x%2B1%5Cright%29-7x)
![8x+8-7x](https://tex.z-dn.net/?f=8x%2B8-7x)
![x+8](https://tex.z-dn.net/?f=x%2B8)
Then..
![x+8\ge \:-3](https://tex.z-dn.net/?f=x%2B8%5Cge%20%5C%3A-3)
Subtract 8 from both sides
![x+8-8\ge \:-3-8](https://tex.z-dn.net/?f=x%2B8-8%5Cge%20%5C%3A-3-8)
Then, you got your awnser.
![x\ge \:-11](https://tex.z-dn.net/?f=x%5Cge%20%5C%3A-11)