Answer:
(-5, 2)
Step-by-step explanation:
<u>plug x into the equation x - 5y = -15</u>
-5 - 5y = -15
add 5 to both sides: -5y = -10
divide by -5: y = 2
Answer:
The data provide sufficient evidence that older people are more likely to be victimized.
Step-by-step explanation:
H 0 : P = 0.10
H 1 : P > 0.10 (Right tailed test)
n = 527, P = 0.1235
The test statistics
x = P - p / 
x = 0.1235 - 0.10 / 
x = 0.0235 / 
x = 0.0235 / 
x = 0.0235 / 0.0130682049264618
x = 1.798257689731729
x = 1.798
P value = [1 - p(Z > 1.7980] (Right tailed test)
P value = 0.036089
The P - Value is very small, so <u>reject H0</u>
Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
Answer: (x + 1) ( x + 4)
Step-by-step explanation: