Answer:
16
Step-by-step explanation:
16 (2x + y - 3)
Greetings!
Solve for d.

Distribute the Parenthesis.



Reduce.

Add
-2/3 to both sides.

Simplify.


Add
-1/4d to both sides.

Simplify.


Divide both sides by
-1/12.

Simplify.


Reduce.


Hope this helps.
-Benjamin
A. 25 = (.5 * 22) + (2 * x)
B. 25 = (.5 * 22) + (2 * x)
25 = 11 + 2x
14 = 2x
7 = x
C. 7
Answer:

Step-by-step explanation:
Total number of people = 130
Number of people who use the gym = 73
Number of people who use the pool = 62
Number of people who use the track = 58
Number of people who use the gym and the pool = 22
Number of people who use the pool and the track = 29
Number of people who use the gym and the track = 25
Number of people who use all three facilities = 11
Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87
The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.
==> 11 ÷ 87
==> 
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.