Answer:
He earned $1,100 in interest. $6,600 is the new amount in his bank.
Step-by-step explanation:
Answer:
Press box is 460.15 feet high.
Step-by-step explanation:
From the picture attached,
Point A is 400 feet away from the press box.
Angle of elevation of point C is 49°.
By applying tangent rule in the given right triangle,
tan(49°) = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
tan(49°) = ![\frac{BC}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAB%7D)
BC = ABtan(49°)
BC = 400[tan(49°)]
BC = 460.15 ft
Therefore, press box is 460.15 feet high.
Answer:
$59.84
Step-by-step explanation:
Original meal: $59.30 + $7.525 (tip) + $2.014 (sales tax) = approximately $59.839/$58.84
Answer:
Step-by-step explanation:
Given that for a sample of size n = 13, mean =122 and std dev = 13
STd error of sample = ![\frac{13}{\sqrt{13} } =3.61](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B%5Csqrt%7B13%7D%20%7D%20%3D3.61)
Hypotheses:
![H_0: x bar = 121\\H_a: x bar >121](https://tex.z-dn.net/?f=H_0%3A%20x%20bar%20%3D%20121%5C%5CH_a%3A%20x%20bar%20%3E121)
(One tailed test at 5% sign level)
Mean difference = 1 and test statistic
![t = \frac{1}{3.61} \\=0.2778](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B1%7D%7B3.61%7D%20%5C%5C%3D0.2778)
df = n-1 =12
pvalue = 0.3929
Since p > alpha, accept null hypothesis
There is no evidence to prove that mean is greater than 121.