For this you will use the tangent function. You have the adjacent side and have to find the opposite side.
tan x = opposite/adjacent
tan 25 = x/15
15 (tan 25) = x
6.9946 = x
So the boat is approximately 6.9946 m away from the lighthouse.
Answer:
can u please add the statements.
Step-by-step explanation:
Answer:
(15,595, 16,805)
Step-by-step explanation:
We have to:
m = 16.2, sd = 3.75, n = 150
m is the mean, sd is the standard deviation and n is the sample size.
the degree of freedom would be:
n - 1 = 150 - 1 = 149
df = 149
at 95% confidence level the t is:
alpha = 1 - 95% = 1 - 0.95 = 0.05
alpha / 2 = 0.05 / 2 = 0.025
now well for t alpha / 2 (0.025) and df (149) = t = 1,976
the margin of error = E = t * sd / (n ^ (1/2))
replacing:
E = 1,976 * 3.75 / (150 ^ (1/2))
E = 0.605
The 95% confidence interval estimate of the popilation mean is:
m - E <u <m + E
16.2 - 0.605 <u <16.2 + 0.605
15,595 <u <16,805
(15,595, 16,805)
The LCM is the lowest number that is a multiple of all three numbers.
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
The amount after 2 years is $2,295.
Given that,
- The invested amount is $1,240.
- The rate of interest is 8%.
- The number of years is 2 × 4 = 8
Based on the above information, the amount after 2 years is
Future value = Present value ×(1 + rate of interest)^number of years
= $1,240 × (1 + 0.08)^8
= $1,240 × 1.08^8
= $2,295
Therefore we can conclude that the amount after 2 years is $2,295.
Learn more: brainly.com/question/18051939
