To write 2^7, you would do 2*2*2*2*2*2*2 because your multiplying 2 by itself 7 times. The only factor is, 2. Now try and do the rest, if you still need help, comment and I'll edit my answer and give you more hints. you got this. I believe in you :)
Answer:
your answer is option B hope ur help and mark me brainlist and dont worry about problems
First, make it easy for yourself by putting like terms together
-7x+8x+5>3
then, combine like terms
-7x+8x=1x
now you have this
1x+5>3
hope this helps!
8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
Answer:
0.02566
0.972559
Step-by-step explanation:
Given that :
Sample size (n) = 36
σ² = 6
sample variance S^2
a) greater than 9.1;
b) between 3.5 and 10.5.
The degree do freedom (df) = n - 1
S² > 9.1
P(S² > 9.1) = X² > ((n - 1) * S²) / 6
P(S² > 9.1) = ((36 - 1) * 9.1) / 6
P(S² > 9.1) = (35 * 9.1) / 6
P(S² > 9.1) = 53.083
P(X² > 53.08) = 0.02566 ( chi square distribution calculator)
b) between 3.5 and 10.5.
((36 - 1) * 3.5) / 6 ≤ S² ≤ ((36 - 1) * 10.5) / 6
20.416666 ≤ S² ≤ 61.25
Using the Chisquare distribution calculator :
P(X² > 20.42) = 0.9765
P(X² > 61.25) = 0.003941
Hence,
0.9765 - 0.003941 = 0.972559
