Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj
Answer:
a) ![[-0.134,0.034]](https://tex.z-dn.net/?f=%5B-0.134%2C0.034%5D)
b) We are uncertain
c) It will change significantly
Step-by-step explanation:
a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.
Since we assume that the variances are equal, we use the pooled variance given as
,
where
.
The mean difference
.
The confidence interval is

![= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]](https://tex.z-dn.net/?f=%3D%20-0.05%5Cpm%201.995%20%5Ctimes%200.042%20%3D%20-0.05%20%5Cpm%200.084%20%3D%20%5B-0.134%2C0.034%5D)
b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.
c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.
1) the rule for #1 is is to subtract the small number from the big number so (15-4) (get rid of all the signs when doing this see how i took away the sign from 15) the answer is then 11 but you pit the sign of the bigger number since 15 is the bigger number and it has the negative sign you put the negative sign on 11 so the answer for 1 is -11
2) to solve -3*-5 you have to realize that they are both negative and the rule of multiplying negative integers is that a negative times a negative = a postive (weird but those are the rules) so -3*-5=15
Tom because his fish is 1.5 pounds and kiras fish is 1.14 pounds
The total amount owed after 6 months will be found using the formula:
FV=P(1+r/100*n)^n
P=principle=$10000
r=rate=18%
n=terms=0.5
FV=10000(1+18/2*100)^0.5
FV=$10,440.30651
Thus the amount owed will be $10440.30651