Answer:
all work is pictured and shown
Step-by-step explanation:
22+2x+8= x+20
2x+30=x+20
x+30=20
x=-10
answer is -10
Answer:
The interest he will be paid in the first 4 years is $360
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
∵ Bill deposits $3,000 into an account
∴ P = 3000
∵ The account pays simple interest at a rate of 3% per year
∴ r = 3% = 3 ÷ 100 = 0.03
∵ The time is 4 years
∴ t = 4
→ Substitute these values in the rule above
∵ I = 3000(0.03)(4)
∴ I = 360 dollars
∴ The interest he will be paid in the first 4 years is $360
Answer:
y = 5x + 3
Step-by-step explanation:
When x = 0 y = 3 so the y-intercept will be 3
And the equation is y = 5x + 3 where the slope is 5
Answer:
No, the on-time rate of 74% is not correct.
Solution:
As per the question:
Sample size, n = 60
The proportion of the population, P' = 74% = 0.74
q' = 1 - 0.74 = 0.26
We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.
Now,
The proportion of the given sample, p = 
Therefore, the probability is given by:
![P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]](https://tex.z-dn.net/?f=P%28p%5Cleq%200.634%29%20%3D%20%5B%5Cfrac%7Bp%20-%20P%27%7D%7B%5Csqrt%7B%5Cfrac%7BP%27q%27%7D%7Bn%7D%7D%7D%5D%5Cleq%20%5B%5Cfrac%7B0.634%20-%200.74%7D%7B%5Csqrt%7B%5Cfrac%7B0.74%5Ctimes%200.26%7D%7B60%7D%7D%7D%5D)
P![(p\leq 0.634) = P[z\leq -1.87188]](https://tex.z-dn.net/?f=%28p%5Cleq%200.634%29%20%3D%20P%5Bz%5Cleq%20-1.87188%5D)
P![(p\leq 0.634) = P[z\leq -1.87] = 0.0298](https://tex.z-dn.net/?f=%28p%5Cleq%200.634%29%20%3D%20P%5Bz%5Cleq%20-1.87%5D%20%3D%200.0298)
Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %
Thus the on-time rate of 74% is incorrect.