Use the binomial theorem:

The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be

Answer:
z=3
Step-by-step explanation:
4(z+6)-11=25
add 11 to both sides
4(z+6)-11+11=25+11
simplify
4(z+6)=36
divide each side by 4
(4(z+6))/4=36/4
Simplify
z+6=9
subtract 6 from each side
z+6-6=9-6
simplify
z=3
Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
28%
Step-by-step explanation:
We get 30% off the original price
The new price is (100-30) = 70$ of the original price
Let x = the original price
The new price is .7x
Now get get an additional 60% off. We pay (100-60) = 40 percent of the price
Take .7x * .4
The new price is .7*.4 x
.28x
This is 28 percent of the original price x
Answer:
Only one solution
Step-by-step explanation:
Given:
2c + 4 - 3c = -9 + c + 5
Find:
Number of solution
Computation:
2c + 4 - 3c = -9 + c + 5
-c + 4 = -4 + c
-2c = -8
c = 4
Only one solution