Answer:
Kindly check explanation
Step-by-step explanation:
xbar = 2.6
Sample size, n = 100
s = 0.4
Mean, μ = 4
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(2.6 - 4) ÷ 0.4/sqrt(25)
1.4 ÷ 0.08
= −17.5
Critical tvalue for 95% confidence interval :
df = n - 1 = 25 - 1 = 24
Tcritical at 0.05/2; df
Tcritical = ±2.064
Since, Tstatistic value does not fall within the Tcritical value ±2.064, we reject the Null
Using the p value from Tstatistic calculator :
P value at t = - 17.5 at 0.05 < 0.000001
Since p value is < 0.05, we reject H0.
Answer:
D
Step-by-step explanation:
lines are parallel, cut by transversal, so:
x=29° (alternate interior angles)
in a parallelogram, opposite angles are congruent, so:
z=119°
therefore, y=32° since D is the only option where x=29° and z=119°
Answer:252
Step-by-step explanation:420x60/100
1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
