4+2x = x (x = student in smaller group)
4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group
4 + 2(8) = 20 students in the larger group
Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
Answer:
88.88% probability that it endures for less than a year and a half
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.



has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
Answer:


Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

Then:

Now we solve the equation for x

Divide both sides of equality by 8


So the length of each piece is
of a yard.
This is: 1.125 yards