Answer: Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*x+1-(2*x-x+21)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
5x - 20 = 5 • (x - 4)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4
Answer: c. –1 and .1587
Step-by-step explanation:
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .
Z -Test statistic for proportion = 
, where p= population proportion
= sample proportions
n= Sample size.
Let x be the number of successes.
For n= 40 and x= 11
Then , 



By using z-table ,
P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]
= 1-0.8413
=0.1587
Hence, the -score and P-value are <u>–1 and 0.1587</u> .
So the correct option is c. –1 and .1587
We know that V = a^3 and that it's 1000 cubic meters (or unit cubes as long as one unit cube is 1x1x1m). We can write the calculation as attached below. The result (dimensions of one cube house) is
10x10x10 meters.
Answer:
Step-by-step explanation:
Can the sides of a triangle have lengths 5, 8, and 11?