Answer:
x = 15
Step-by-step explanation:
y = family members = 7
x = cost of ticket
7x + 6y = 147
Substitute 7 for y:
7x + 6(7) = 147
7x + 42 = 147
Subtract 42 on both sides:
7x + 42 = 147
- 42 -42
7x = 105
Divide both sides by 7:
7x = 105
x = 15
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴
= 
∴ x = 3
∴ The value of x is 3
Hope you won't be turned off by a correction, but we really need to use the symbol " ^ " to denote exponentiation.
Thus, we have x^2 = 100
Taking the square root of both sides, we get x = plus or minus 10. Verify, please, that both x = -10 and x = +10 satisfy the given equation.
Answer:
20.27
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation 
Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?
This is s when
. So

So the correct answer is:
20.27