Ben's age in x yeears=30+x
daniel's age in x years is 2+x
when will ben's age in x years be 3 times of daniel's age in x years
30+x=3(2+x)
30+x=6+3x
minus x both sides
30=6+2x
minus 6 both sides
24=2x
divide by 2 both sides
12=x
answer is in 12 years
3.60/6 = 0.60...so it costs 60 cents per oz
2 oz at 0.60 per oz = (2*0.60) = 1.20...so a 2 oz bag costs less then 1.25
Answer:
Step-by-step explanation:
Hello!
The parameter of interest is "the population proportion of people that like soccer A news channel"= p
The hypothesis are:
H₀: p = 0.45
H₁: p ≠ 0.45
To study the population proportion you have to use the approximation of the standard normal distribution:
≈ N(0;1)
A sample of n=30 was taken and surveyed, 18 of those answered positively, then the sample proportion is:
p'= 18/30= 0.6
The statistic under the null hypothesis is:

I hope it helps!
Answer:
Option B: Rotation
Step-by-step explanation:
The shape appears to have the same size, but it has been moved in a way that is not reflection. Through the process of elimination, the answer is rotation.
Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve
+ 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b±
/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±
/ 2 ⋅ 5
Simplify.
x = -2 ± 2
/ 10
x = -1 ±
/ 5
Exact Form:
x = -1 ±
/ 5