Answer:
See attached picture.
Step-by-step explanation:
Graph the line using a y-intercept -1 and slope 1.
Graph the equation with vertex (0,0) and radius 2.
Answer:
k(x)=-3/4x+5
Step-by-step explanation:
Answer:
1) f
4 * ¼ = 1 (Multiplicative inverse property)
2) c
6 * 1 = 6 (Identity property of multiplication)
3) h
5 + 7 = 7 + 5 (Commutative property of addition)
4) j
If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)
5) a
4(x - 3) = 4x - 12 (Distributive property)
6) i
3(5) = 5(3) (Commutative property of multiplication)
7) k
Rules that allow us to take short cuts when solving algebraic problems.(Properties)
8) d
5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)
9) g
4 + (-4) = 0 (Additive inverse property)
10) e
2 + 0 = 2 (Identity property of addition)
11) b
A + (B + C) = (A + B) + C (Associative property of addition)
Answer:
72.69% probability that between 4 and 6 (including endpoints) have a laptop.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A study indicates that 62% of students have have a laptop.
This means that 
You randomly sample 8 students.
This means that 
Find the probability that between 4 and 6 (including endpoints) have a laptop.






72.69% probability that between 4 and 6 (including endpoints) have a laptop.
Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.
Hope this helps!