Answer:(If you need the slope)
y=3x+6.5
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
((3*2)+1)*8
The reasons put into the correct order to justify solving the inequality:
- -2(x + 6) < 3(x + 1) - Given
- -2x - 12 < 3x + 3 - Distributive Property
- -2x < 3x + 15 - Addition Property of Order
- -5x < 15 - Subtraction Property of Order
- x > 3 - Division Property of Order
<h3>Justify each property of equality</h3>
-2(x + 6) < 3(x + 1) - Given
-2x - 12 < 3x + 3 - Distributive Property
-2x < 3x + 15 - Addition Property of Order
-5x < 15 - Subtraction Property of Order
x > 3 - Division Property of Order
Check how to solve:
-2(x + 6) < 3(x + 1)
Open the parenthesis
-2x - 12 < 3x + 3
Add 12 to both sides
-2x - 12 + 12 < 3x + 3 + 12
-2x < 3x + 15
Subtract 3x from both sides
-2x - 3x < 3x + 15 - 3x
- 5x < 15
divide both sides by -5
x > 3
Therefore, the solution to the given inequality -2(x + 6) < 3(x + 1) is x > 3.
The properties mentioned above are properties of inequalities and hold for all situations of inequalities as given.
Read more on property of equality:
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Answer:
A. 12.3%
Step-by-step explanation:
Model this as a binomial distribution
where X is the random variable, n is the number of trials, and p is the probability of success.
Therefore,
- X = lambs born male
- n = 60
- p = 0.5
(If the probability of lambs being male and female is equal, then the probability of males being born = 0.5)
The probability that at least 35 lambs will be born male:
Answer:
1st Qtrl: 11
Median: 20.5
3rd Qtrl: 25.5
Range: 22
Step-by-step explanation:
Median = average of 2 middle values (18 + 23) / 2
1st Qtrl = average of 10 and 12 (the lower half of data)
3rd Qtrl = average of 25 and 26 (the upper half of data)
Range = largest value - smallest value; 30 - 8 = 22