<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
If the trapezoid is isosceles, angles A and C are supplementary, so ...
... (4x+4) +(7x+11) = 180
... 11x +15 = 180 . . . . . . collect terms
... 11x = 165 . . . . . . . . . subtract 15
... x = 15 . . . . . . . . . . . . divide by the coefficient of x
And angles C and E are congruent.
... 4·15 +4 = 21y +1
... 63 = 21y . . . . . subtract 1
... 3 = y . . . . . . . . divide by the coefficient of y
Answer:
The chance of rolling a number greater than 4 (a 5 and 6) is 2/6 = 1/3 after simplification. The probability it WON'T happen is 1 - 1/3 = 2/3.
The ratio of against to for is 2/3:1/3
You can further simplify this ratio by multiplying each side by 3 and yielding
2:1.
The chance of it not happening is twice as likely as it is to roll a number greater than 4
<u>Answer:</u>
42%
<u>Step-by-step explanation:</u>
We know that the number of times red side is faced up = 21; and
the total number of times colored chip is thrown = 50
Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%
Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%
Therefore, the relative frequency of the chip landing with the red side facing up is 42%.
Answer:
Brand 1 Brand 2 Difference
37734 35202 2532
45299 41635 3664
36240 35500 740
32100 31950 150
37210 38015 −805
48360 47800 560
38200 37810 390
33500 33215 285
Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516
Mean = 
Mean = 
a) d= 939.5


=1441.21
b)SD= 1441.21
c)Calculate a 99% two-sided confidence interval on the difference in mean life.
confidence level =99%
significance level =α= 0.01
Degree of freedom = n-1 = 8-1 =7
So, 
Formula for confidence interval 
Substitute the values
confidence interval 
confidence interval
to 
Confidence interval
to 
The length is 2.4
1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4