Answer:
The lower limit is 75.04
The upper limit is 78.96
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as
The critical value for 
obtained from the normal distribution table is
Generally the margin of error is mathematically represented as
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=> 
Answer:
Step-by-step explanation:
Call T the top
call G the bottom
T G B is a right triangle
37 at B, 90 at G, thus 53 at BTG
TGA is a right triangle
25 at A, 90 at G, thus 65 at ATG
thus 122 at ABT
law of sines:
sin 25 / BT = sin 12/ 57
so BT = 156 meters (first answer)
now angle ABT = 180 - 12 - 25
= 143
so
sin 143 /AT = sin12/57
AT = 164 meters, second answer
Similar triangles are Sometimes Similar
Y = -10 and x = -13 (substitute 2y + 7 for x)
We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:
17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.
17x+13x=90
30x=90
x=3
We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.
3*13=39
The answer is 39 degrees.
