Answer:
The value of x = 13.5.
Step-by-step explanation:
<u>In this question x is missing.</u>
<u>So, the question would be:</u>
<u>tan 34° = x/20.</u>
Now, to find the value of :
Multiplying both sides by 20 we get:
On simplifying both sides we get:
So, to get the value of to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.
Therefore, the value of x = 13.5.
Answer:
The speed of the boat is 5 miles per hours
The speed of the current is 2 miles per hours .
Step-by-step explanation:
Given as :
The distance cover by boat downstream = D = 10.5 miles
The time taken by boat to cover D distance = T = 1.5 hours
The distance cover by boat Upstream = d = 10.5 miles
The time taken by boat to cover d distance = t = 3.5 hours
Let The speed of boat = x mph
Let The speed of current = mph
Now, According to question
∵ Speed =
<u>For Downstream</u>
x + y =
Or, x + y =
Or, x + y = 7 .......A
<u>For Upstream</u>
x - y =
Or, x - y =
Or, x - y = 3 .......B
Now, Solving eq A and eq B
So, (x + y) + (x - y) = 7 + 3
Or, (x + x) + (y - y) = 10
Or, 2 x + 0 = 10
∴ x =
i.e x = 5 mph
So, The speed of the boat = x = 5 miles per hours
Put the value of x into eq A
∵ x + y = 7
Or, 5 + y = 7
∴ y = 7 - 5
i.e y = 2 mph
So, The speed of the current = y = 2 miles per hours
Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer
Answer:
Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)
Step-by-step explanation:
Confidence Interval can be calculated using the formula M±ME where
Using the sample obtained from 50 business travelers we get
Margin of error (ME) around the mean using the formula
ME= where
Using the numbers in the formula we get:
ME= ≈ 0.70
Then the confidence interval becomes 6.76±0.70