Answer:

Step-by-step explanation:
We are given the Inequality:

First, we can simplify the expression. On the left side of Inequality, we can cancel 2; on the right side, we can cancel 2 out as well.
Simply, division!

2 divides 2 is 1; 2 divides 10 is 5.

Generally, it is not recommended to write 1 beside the variable nor write 1 as a denominator.
Simplify the expression:-

Therefore, the value of y is less than 5.
Let me know if you have any questions after reading the explanation!
If the equation of the absolute value function is f(x) = |x + 1| + 7, then the range of the function is -∞ < y ≤ 7
<h3>How to determine the range of the absolute value function?</h3>
<em>The question is incomplete, so I will provide a general explanation</em>
Assume that the absolute value function is given as:
f(x) = |x + 1| + 7
Set the absolute value to 0
f(x) ≥ 0 + 7
Evaluate
f(x) ≥ 7
This means that the smallest value of the function is 7
Hence, the range of the absolute value function is -∞ < y ≤ 7
Read more about range at:
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Answer:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
Step-by-step explanation:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
I believe this has to do with theoretical and experimental probabilities.
Experimental probabilities are what actually happens and theoretical probabilities are what is expected to happen.
A coin landing on tails 8 out of 10 times....this is experimental probability
results based on an experiment....this is experimental probability
outcomes that should happen....this is theoretical probability
rolling a sum of 9 in 5 trials....this is experimental probability
so the one that is the odd ball is : outcomes that should happen
Answer:
175
Step-by-step explanation:
Find how much is left by multiplying 200 by 0.875, since this will give you the remaining 87.5%:
200(0.875)
= 175
So, the answer is 175.