Answer with Explanation:
Total number of members in School Club = 80 members
Number of member randomly Selected,that is sample size used (P) = 50 members
Number of members who are planning to vote for Talia = 38 members
Z Score for 95% confidence interval =1.96
it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%

Standard Deviation=4.3 (approx)
→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.
→So, members which will vote for Talia as president of the club lies between minimum of 33 members and maximum of 42 members.
Answer:
13 and 65
Step-by-step explanation:
x + 5x = 78
(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)
6x = 78
x = 78 / 6
x= 13
(to counter check: 13 * 5 = 65.
65 + 13 = 78 )
Answer:
15y=-1/3x+5
Step-by-step explanation:
-5x15y=-5x+75
Answer:
⠀
Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
⠀
- So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.
⠀
We know that,
- The sum of all angles of a triangle is 180°
⠀
So, According to the question :
⠀

⠀

⠀

⠀

⠀

⠀

⠀
Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.