Given:
The perimeter of a rhombus of side d cm is
To find:
The perimeter of a rhombus of side 3.2 cm.
Find the length of a side of a rhombus of perimeter 14 cm.
Solution:
Side of a rhombus is 3.2 cm. So, its perimeter is
Therefore, the perimeter of a rhombus of side 3.2 cm is 12.8 cm.
The perimeter of another rhombus is 14 cm, and we need find its side.
Divide both sides by 4.
Therefore, the length of a side of a rhombus of perimeter 14 cm is 3.5 cm.
Answer:
Correct option:
(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.
Step-by-step explanation:
The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.
The registrar can use a single mean test to determine whether the mean has changed or not.
The hypothesis can be described as:
<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.
<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.
To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.
If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.
Otherwise it is wiser to use a <em>t</em>-distribution.
The decision rule is:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Thus, the correct option is (B).
That is so cool, thanks for the trick idea.
Answer:
1640
Step-by-step explanation:
Even, positive integers
2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80 = 1640
