Answer:
Step-by-step explanation:
let x,y be the sides of court.
2(x+y)=90
x+y=90/2=45
y=45-x
xy=500
x(45-x)=500
45x-x²=500
x²-45x+500=0
x²-25x-20x+500=0
x(x-25)-20(x-25)=0
(x-25)(x-20)=0
x=25,20
when x=25
y=45-x=45-25=20
when x=20
y=45-20=25
sides are 25 ft,20 ft.
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:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
Answer:
i think it is 19 is the whole number 9/40 is the remainder
Step-by-step explanation:
Answer:
the correct for this question is be over the y-axis (x,y)=(-x,y)
