Answer:
A) -20
Step-by-step explanation:
distribute the 4y and the -4 to the parentheses
16y^2 -16y+16y-20-16y^2
combine like terms
16y^2-16y^2=0
-16y+16y=0
-20
Mark brainliest??
Answer:
y=1
Step-by-step explanation:
Answer:
a. H0:μ1≥μ2
Ha:μ1<μ2
b. t=-3.076
c. Rejection region=[tcalculated<−1.717]
Reject H0
Step-by-step explanation:
a)
As the score for group 1 is lower than group 2,
Null hypothesis: H0:μ1≥μ2
Alternative hypothesis: H1:μ1<μ2
b) t test statistic for equal variances
t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}
t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}
t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]
t=-3.076
c. α=0.05, df=22
t(0.05,22)=-1.717
The rejection region is t calculated<t critical value
t<-1.717
We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.
Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
In this exercise we need to make a division and evaluate the new function at
. so we have two functions, namely:
Therefore:

So:
