Answer:
The Lower bound of the confidence interval to the nearest integer = 6
Step-by-step explanation:
<u>Calculate the Lower bound of the confidence interval</u>
<em>First step : Calculate the mean and standard deviation for each groups </em>
<u>Group 1 ( group with music )</u>
N = 9
Total ( ∑x ) = 788
mean = 788 / 9 = 87.55
Variance ( s^2 ) = 39.777
s = = 6.31
<u>Group 2 ( group without music ) </u>
N = 9
∑x = 670
mean = 670 / 9 = 74.44
variance ( s^2 ) = 72.27
s = = 8.50
<em>Next : Calculate the pooled variance , standard error and confidence interval</em>
Pooled variance ( Sp^2 ) : 896.43 / 16 = 56.03
standard error : S ( M1 - M2 ) = √((56.03 / 9) + (56.03 / 9)) = 3.53
confidence interval : μ1 - μ2 = ( M1 - M2 ) ± Ts ( M1 - M2 )
= 13.1111 ± (2.12 * 3.53 )
= ( 5.630 , 20.591 )
The Lower bound of the confidence interval to the nearest integer = 6
Answer:
X = -3
Step-by-step explanation:
x - 5 = 3x + 1
-6 = 2x
x = -3
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
;)
Answer:
0.9375 pages per minute
Step-by-step explanation:
(3/8)/(2/5) = 0.9375
The rules tell me to add the exponents. But I when I started algebra, I had trouble keeping the rules straight, so I just thought about what exponents mean. The " a6 " means "six copies of a multiplied together", and the " a5 " means "five copies of a multiplied together". So if I multiply those two expressions together, I will get eleven copies of a multiplied together. That is:
Property (a, b and c are real numbers, variables or algebraic expressions)
Associative Property of Addition a + (b + c) = (a + b) + c
Associative Property of Multiplication a • (b • c) = (a • b) • c
Additive Identity Property a + 0 = a
Multiplicative Identity Property a • 1 = a
anwer will be c