Answer:
Step-by-step explanation:
Keep in mind that the tangent function is negative in Quadrants II and IV.
Of the three possible answers, the 2nd is invalid because the tangent is positive in Q III.
If the reference angle were in Quadrant II and had the value 30° (second possible answer), then the opposite side would be +1, the adjacent side -√3 and the hypotenuse 2. Based on this, the tangent of theta would be opp / adj, or +1 / (-√3) or -√3/3. This is correct.
Answer:
0
Step-by-step explanation:
It may say combine, but it`s subtraction soooo it`s 0.
If you plug the values for a, b, and c into the Pythagorean Theorem, you can get x alone to figure out the side lengths:
x² + 3x² - 1² = 3x² + 1²
Combine like terms
4x² - 1² = 3x² + 1²
Subtract 3x² from both sides
x² - 1² = 1²
Simplify 1²
x² - 1 = 1
Add 1 to both sides
x² = 2
Square root both sides
x = 1.41421
Then, simply plug in that number for x on each side! It comes out to a weird number, but I don't see any other way to solve it...
Hope this helps :)
Answer:
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.
This means that 
What is probability that a truck will weigh less than 14.3 tons?
This is the pvalue of Z when X = 14.3. So
has a pvalue of 0.3594
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Answer:
Step-by-step explanation:
2 easy ways:
1. Divide 7 by 3 then multiply by 2
7/3= seven thirds or 2.333
Now multiply by two to get 14 thirds
or 4.666
2. Multiply 7 by 2/3, or 0.666
This way is a lot easier with a
calculator
The weight of the box is 14/3’s or 4.666
