Two conditionals from each biconditional are
- (1) A month has exactly 28 days (2) It is February
- (1)Two angels are complementary (2) The measures of the angles add up to 90
- (1) The area of square s^2 (2) The perimeter of the square is 4s
<h3>How to write two conditionals from each biconditional?</h3>
A biconditional statement is represented as:
if and only if p, then q
From the above biconditional statement, we have the following conditional statements
Conditional statement 1: p
Conditional statement 2: q
Using the above as a guide, the conditional statements from the biconditional statements are:
<u>Biconditional statement 30</u>
- A month has exactly 28 days
- It is February
<u>Biconditional statement 31</u>
- Two angels are complementary
- The measures of the angles add up to 90
<u>Biconditional statement 32</u>
- The area of square s^2
- The perimeter of the square is 4s
Read more about biconditionals at
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Answer:
4x is the greatest common factor of those two.
Step-by-step explanation:
(-16x + 12x)
4x (-4 + 3)
4x is the GCF
Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.
Hopes this helps!!!
Remember, in order for this equation to be true either one of the polynomials has to equal 0
So:
-> x+6 = 0
x=-6
-> 2x-5 = 0
2x= 5
x= 5/2
So the answer is x=-6 and x= 5/2.
Hope this helps!
Answer: the system has no solution
Step-by-step explanation: for a solution to occur the lines have to cross
Answer:
a) The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
b)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean is given by:
Part a
The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
Part b
The confidence interval for the mean is given by the following formula: