Answer:
the answer is c) or 6. I hope it helps
3 is the least common denominator . To find the least common denominator you list all the factors of both numbers and find the smallest one they both have in common beside one.
Answer:
(-4, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-3x - 3y = 3
y = -5x - 17
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x - 3(-5x - 17) = 3
- Distribute -3: -3x + 15x + 51 = 3
- Combine like terms: 12x + 51 = 3
- Isolate <em>x</em> term: 12x = -48
- Isolate <em>x</em>: x = -4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -5x - 17
- Substitute in <em>x</em>: y = -5(-4) - 17
- Multiply: y = 20 - 17
- Subtract: y = 3
Answer:
a) 229 and 305 days
b) 229 days or less
c) 305 days or more
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 267
Standard deviation = 19
(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days
By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.
So
267 - 2*19 = 229 days
to
267 + 2*19 = 305 days
(b) How short are the shortest 2.5% of all pregnancies?______days or less
95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So
267 - 2*19 = 229 days
c) How long do the longest 2.5% of pregnancies last?________days or more
Explanation in b)
267 + 2*19 = 305 days
It’s c if I got it wrong I am so sorry
