Answer: x> 1/2
Step-by-step explanation:
if 2x+1∠ 8x-2
inequality , treat this problem like any other equation
have the unknown(x) in one side, and the values on the other side
2x-8x < -1-2
-6x< -3 we multiply by -1, do not forget if we multiply by -1 the sign will change
6x>3 divide by 3
2x>1
x>1/2
First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
Answer:
It would be 3 75/100 as a mixed number. In lowest terms, it would be 3 3/4.
Hope this helps. :)
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
The real way is to subtract the term with the variable on the right first, but both Spencer and Jeremiah are correct. When you do them both, they arrive at the same answer, only that Spencer's would be 2/5, and Jeremiah's would be -2/-5, which is 2/5, because you divide negative by a negative. It doesn't matter which term with the variable you would cancel out first. Either way, you still arrive at the correct answer.
