A trapezoid can indeed be a quadrilateral with only two right angles, hence Balavan's assertion is incorrect. Denna is correct as having three right angles implies the fourth angle must also be a right angle, leading to either a square or a rectangle.
The result is 3.6y. By multiplying 0.3 by 12, we arrive at 3.6, and we include the variable y.
In this scenario, we aim to assess if pennies are genuinely fair when tossed, indicating that they have an equal chance of landing heads or tails. Therefore, the appropriate hypotheses are as follows: Null hypothesis: Alternative hypothesis: A hypothesis can be defined as "a conjecture or theory that is based on inadequate evidence and can be subjected to further examination and experimentation. With continued investigation, a hypothesis can typically be validated as true or false." The null hypothesis is defined as "a hypothesis that posits no statistical significance between the two variables in question. It represents what the researcher seeks to refute." Conversely, the alternative hypothesis is simply "the opposite or inverse of the null hypothesis; it is what the researcher aims to substantiate." For this study, we wish to confirm if pennies are indeed fair when flipped, meaning an equal chance to land heads versus tails, hence the proper hypotheses are: Null hypothesis: Alternative hypothesis:
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190
Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)
Together they total 28 pencils:
x + 3x = 28
4x = 28 /:4 (divide both sides by 4)
x = 7
So Sam has 7 pencils.
Sari, having three times as many, has 7 * 3 = 21.[[TAG_8]]
