Answer:
Step-by-step explanation:
So when you express a linear function in slope-intercept form it's given in the form of y=mx+b, where m is the slope, and b is the y-intercept. This is because as x increases by 1, the y-value will increase by m (because multiplication), and since the slope is defined as rise/run, the rise will be m, and run will be 1, giving you a slope of m/1 or m. The reason b is the y-intercept, is because whenever the linear function crosses the y-axis, the x-value will always be 0. Meaning that mx will be 0 because m * 0 will equal 0... and that leaves b by it self, so b will determine the y-intercept.
So if you look at the graph, the linear function crosses the y-axis as (0, 2) so the value of b will be 2. This gives you the equation y=mx+2.
Now to calculate the slope, we can take any two points and see how much the rise was and how much the run was. It can also be more formally defined in the equation: 
. So let's take the points (0, 2) and (8, 8). As you can see the x-value increases by 8 or "ran" by 8, and the y-value increased by 6. So the rise over run in this case is 6/8 which can simplified as 3/4. That is the slope. This gives you the complete equation of:
If you meant “112” years the answer is $6,839.28, if you actually meant 112112 the answer is $6,846,119.28
Answer: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Step-by-step explanation:
Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:
Since we have given that
Using the poisson process, we get that
(a) less than or equal to 12
probability= 
(b) equal to 13
probability=
(c) greater than 12
probability=
(d) equal to 20
probability=
(e) between 10 and 15, inclusively
probability=
Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Answer: For the cirlces since I already answered the triangles
1. Area:660.519855417
Circumference:91.1061869541
2. Area: 572.555261117
Circumference:84.8230016469
3. Area:283.528736986
Circumference:59.6902604182
4. Area:1017.87601976
Circumference:113.097335529
5. Area: 63.6172512352
Circumference: 28.2743338823
6. Area:380.132711084
Circumference:69.115038379
Step-by-step explanation:
The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.
Answer: The surface area of each cube is 24 ft² (24 square feet)
Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.
The area of each face is derived as follows;
Area = L x W
Area = 2 x 2
Area = 4 ft²
Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;
Area of box = Face area x 6
Area of box = 4 x 6
Area of box = 24 ft²
Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.
