Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the w
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Answer:
<u>Step-by-step explanation:</u>
The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B
In the given function, →
Half of that period is:
Calculate the period for each of the options to find a match:
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,
and read "if p then q"
Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.
Let q be the proposition: The sides of triangle ABC are such that
.
An example of a conditional statement is : p⇒q, that is:
if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that
This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,
the converse, inverse and contrapositive of p⇒q are defined as follows:
converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p
Converse of our statement:
if The sides of triangle ABC are such that
then Triangle ABC is a right triangle with m(C)=90°
True
Inverse of the statement:
if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that
True
Contrapositive statement:
if The sides of triangle ABC are not such that then Triangle ABC is not a right triangle with m(C)=90°
True
and read "if p then q"
Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.
Let q be the proposition: The sides of triangle ABC are such that
An example of a conditional statement is : p⇒q, that is:
if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that
This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,
the converse, inverse and contrapositive of p⇒q are defined as follows:
converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p
Converse of our statement:
if The sides of triangle ABC are such that
then Triangle ABC is a right triangle with m(C)=90°
True
Inverse of the statement:
if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that
True
Contrapositive statement:
if The sides of triangle ABC are not such that
True