Answer:
x = 7 and x = -1
Step-by-step explanation:
First, we need to factor this quadratic.
To do this, start by finding all the factors of C.
7 x 1, -7 x -1
Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.
Now, we can use the numbers 7 and 1 to create two binomials.
( x + 7 ) ( x + 1 ) = 0
The last thing we need to do is to set those binomials to 0 and solve each of them individually.
x + 7 = 0
x = - 7
Solving the first binomial gives us our first solution, -7.
x + 1 = 0
x = -1
Solving the second one gives us our second solution, -1.
The solutions are -7 and -1.
Answer:
9
Step-by-step explanation:
3*3 =9
The answer is was he number is being divided by 10
We know that a triangle has three sides, all the same length (its equilateral, after all)
The equation to find the length of each side is
Perimeter divided by 3
or in this case
48.6 divided by 3=16.2cm (don't forget the unit)
Hope that helps :)
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
