Answer:
I have no idea what sohcahtoa is but:
tan 50.1° = x/5
1.196 = x/5
multiply both sides of the equation by 5:
x = 5.98
We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.
The mean weight of the luggage of passengers will be 2100/100 = 21.
So we have to find the probability of the mean weight to be less than 21.
Average weight = u = 19.4
Standard deviation = 5.3
Since we are dealing with a sample of 100. We will use the standard error.
Standard error =

Now we have to convert the weight to z-score

From z table we can find the probability of z being less than 3.018 is 99.87%.
Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%
I think its the second one. I hope it is
<h3>The measure of third angle of triangle is 67 degrees</h3>
<em><u>Solution:</u></em>
Given that,
The support of a wood table are in the shape of a right triangle
Since it is a right angle, one of the angle must be 
The measure of one of the angles is 23 degrees
To find: third angle angle
We know that,
Sum of all angles in triangle equals 180 degrees
Therefore,

Thus measure of third angle of triangle is 67 degrees
Answer:
-27 and -18
Step-by-step explanation:
Solve algebraically. Use a variable and an expression to represent the numbers.
let the smaller number be "x"
The bigger number is x + 9.
The two numbers are "x" and "x + 9".
The sum of two numbers means when you add them together. If their number is −45, then:
x + x + 9 = −45
Simplify and isolate "x" to solve in the equation.
x + x + 9 = −45 Collect like terms (numbers that have "x") to simplify
2x + 9 = −45 Isolate "x"
2x + 9 - 9 = −45 - 9 Subtract 9 from both sides
2x = −54
2x/2 = −54/2 Divide both sides by 2
x = -27 Value of smaller number
The bigger number is x + 9. Substitute "x" for -27 and solve.
x + 9
= -27 + 9 Add together
= -18 Value of bigger number
Therefore the two numbers are -27 and -18.