Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3
Step-by-step explanation:
The data we have is:
Gonzales has $42.50
He wants to buy:
a shirt that costs $29
some bracelets that cost $4.50 each.
The equation that we need to solve is:
Total cost = money that Gonzales has.
The cost is $29 + x*$4.50
where x is the number of bracelets he can buy.
The equation that we need to solve is:
$29 + x*$4.50 = $42.50
to solve it we must isolate x:
x*$4.50 = $42.50 - $29 = $13.50
x = 13.50/4.50 = 3
So we have that Mr. Gonzales can buy a total of 3 bracelets.
The answer is f(x) = q * 1.025<span>x + 5, do you have that?
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Answer:
t = 137.9 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 6,250 (1 + 3.75/100)^t
A = 6,250 (1 + 0.0375)^t
A = 6,250 (1.0375)^t
1915-1890 = 25 years passed (t)
A = 6,250 (1.0375)^25
A = 15,689
1940-1890 = 50 years passed (t)
A = 6,250 (1.0375)^50
A = 39,381
- When will the population reach 1,000,000?. We have to subtitute A=1000000 and solve for t.
1,000,000= 6,250 (1.0375)^t
1,000,000/ 6,250 =(1.0375)^t
160 = 1.0375^t
log 160 = log 1.0375^t
log 160 = (t ) log 1.0375
log160 / log 1.0375= t
t = 137.9 years
Answer:
A Type II error is when the null hypothesis is failed to be rejected even when the alternative hypothesis is true.
In this case, it would represent that the new program really increases the pass rate, but the sample taken is not enough statistical evidence to prove it. Then, the null hypothesis is not rejected.
The consequence is that the new method would be discarded (or changed) eventhough it is a real improvement.
Step-by-step explanation:
