Let James be x years old
Joe = 10 + x
After 8 years
18 + x = 3(x)
18 + x = 3x
18 = 2x
x = 9
Joe is 19
James is 9
Answer:
Step-by-step explanation:
he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25
0.10d + 0.25q = 4.80
he has 6 more dimes then quarters
d = q + 6
====================
d = q + 6...so we sub q + 6 in for d, back into the other equation
0.10(q + 6) + 0.25q = 4.80
0.10q + 0.60 + 0.25q = 4.80
0.35q = 4.80 - 0.60
0.35q = 4.20
q = 4.20 / 0.35
q = 12 <====== there is 12 quarters
d = q + 6
d = 12 + 6
d = 18 <===== there is 18 dimes
Answer:
We reject the null hypothesis.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 71
Population variance is known.
Level of significance, α = 0.08

The null and alternate hypothesis are:

We use one-tailed z test to perform this hypothesis.
Formula:

Now, 
Since,

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.
The answer is 45/4 or 11 1/4