The legths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in., find the width, perimeter an area of th
1 answer:
You might be interested in
Answer:
a) 0.0989, Option a
Step-by-step explanation:
The concept of <em>Poisson probability distribution</em> is used as shown in the attached file.
Answer:
(-∞, -4] ∪ [5, ∞)
Step-by-step explanation:
Hi!
Alright, so greater (or less) than or equal to is denoted with a bracket.
If x is less than or equal to -4, then the bracket is on the left side.
(___, -4]
Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.
So, x -4 = (-∞, -4]
X5
Equal to = bracket
X is any number above 5, so
[5, ∞)
Because we want both of these, we use the union sign (∪)
so,
= (-∞, -4] ∪ [5, ∞)
Solving this inequality is similar to solving a regular equation. The only thing you need to worry about with inequalities is that when you are dividing or multiplying by a negative number, you must flip the inequality sign. You won't have to worry about that here!
You are told x + 3/4 ≥ -1/3. Isolate the x by subtracting 3/4 from both sides. To subtract fractions, find a common denominator on both fractions, subtract the numerators, put the difference over the common denominator, and simplify if needed. The common denominator between
and 
is 12.
1) To make the denominator of, 12, multiply it by 3/3 (aka 1):
2) To make the denominator of, 12, multiply it by 4/4:
3) Subtract the fractions to find the inequality for x:
You answer is x ≥ -13/12, or if you want to make -13/12 a mixed number, x ≥
.
You are told x + 3/4 ≥ -1/3. Isolate the x by subtracting 3/4 from both sides. To subtract fractions, find a common denominator on both fractions, subtract the numerators, put the difference over the common denominator, and simplify if needed. The common denominator between
1) To make the denominator of
2) To make the denominator of
3) Subtract the fractions to find the inequality for x:
You answer is x ≥ -13/12, or if you want to make -13/12 a mixed number, x ≥