Answer:
Here is the answer to your question it is in this picture
Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high
Answer:
Point P = (-9,11)
Step-by-step explanation:
Point M: (1,3) X and Y have the 2 on the bottom right of them
Midpoint N: (-5,7)
Point P: (X*2, Y*2)
( 1 + X*2 3 + Y*2 )
( _______ ________ ) = (-5 , 7)
( 2 , 2 )
( 1 + X*2 )
( _____ ) = -5
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being
divided on the bottom. Also, multiply the -5 by 2 and you get -10
1 + X*2 = -10
+1 +1
__________
X*2 = -9
X = -9
( 3 + Y*2 )
( ______ ) = 7
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14
3 + Y*2 = 14
-3 -3
_________
Y*2 = 11
Y = 11
Hope this helps, good luck! :)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Sample size, n = 30
Tcritical value = 2.045
Null hypothesis :
H0: μ = 9.08
Alternative hypothesis :
H1: μ≠ 9.08
Sample mean, m = 8.25
Samole standard deviation, s = 1.67
Test statistic : (m - μ) ÷ s/sqrt(n)
Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)
Test statistic : - 0.83 ÷ 0.3048988
Test statistic : - 2.722
Tstatistic = - 2.722
Decision region :
Reject Null ; if
Tstatistic < Tcritical
Tcritical : - 2.045
-2.722 < - 2.045 ; We reject the Null
Using the α - level (confidence interval) 0.05
The Pvalue for the data from Tstatistic calculator:
df = n - 1 =. 30 - 1 = 29
Pvalue = 0.0108
Reject H0 if :
Pvalue < α
0.0108 < 0.05 ; Hence, we reject the Null
