Answer:
C
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
- x + 3y = 6 → (2)
Substitute y = x + 2 into (2)
- x + 3( x + 2) = 6 ← distribute left side
- x + x + 6 = 6, that is
6 = 6 ← True
This statement indicates the system has infinitely many solutions
Answer:
What is your question dude???
Step-by-step explanation:
5.1y + 21.3 = -0.3y - 24.6
5.1y + 0.3y = -24.6 - 21.3
5.4y = -45.9
y = -8.5
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
So 1/2 of 3/4 is 3/8 which is equal to 6 cookies ( or 3/8 of a packet has 6 cookies)
So if we say a packet of cookies = X
and we know 8/8 of a packet of cookies = 1 full packet of cookies
( 8/8 of a packet or 1 full packet has X cookies )
Then 3/8 divided by 8/8 = 6/X
3/8 = 6/X
X = 6 divided by 3/8
X = 16
So there should be 16 cookies in a full packet