Answer: The slope is 
Step-by-step explanation:
The slope can be calculated with the following formula:

Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.
In this case:

Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:

Answer:
Option C - 4.71
Step-by-step explanation:
We are given the Test statistic for proportion as;
z = (^p − p)/√pq/n
From the question;
^p = 0.15
p = 0.1
q = 1 - 0.1 = 0.9
n = 800
z = (0.15 - 0.1)/√(0.1 × 0.9/800)
z = 0.05/√(0.09/800)
z = 4.71
F(x)=25-x^2
g(x)=x+5
f/g(x)=(25-x^2)/(x+5)
f(x) is in binomial form so 25-x^2 can also be written as (5-x)(5+x)
so
f/g(x)=(5-x)(5+x)/(x+5)
f/g(x)=5-x
(x+a)^4 = ^4C_0 x^4 + ^4C_1 x^{4-1} a + ^4C_2x^{4-2}a^2 + ^4C_3x^{4-3}a^3 + ^4C_4x^{4-4}a^4
= x^4 + 4x^3a + 6x^2a^2 + 4xa^3 + a^4
Answer:
Option E.
Step-by-step explanation:
Given information:
Air conditioning = 88
Automatic transmission = 96
power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Both automatic transmission and power steering = 11
Place these values and draw a venn diagram as shown below.
Calculation for missing values:



From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.
Therefore, the correct option is E.