Answer:
-1
Step-by-step explanation:
Evaluate for x=0
sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2
sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2
= −1
Answer:
37.5 %
Step-by-step explanation:
11/8 = 1.375
1.375 x 100 = 137.5 %
137.5% - 100% = 37.5%
your answer is the first one, MNO is similar to GHK
the sum of the interior angles of a triangle is 180°
MNO
180 - 22 - 79 = 79° (angle N)
GHK
180 - 79 - 79 = 22° (angle K)
From here you see that they have the same angles, so they are similar.
To find the area of a trapezoid, we need to know the formula. The formula for the area of a trapezoid is: A = (a+b)h/2, with a and b being the lengths of the bases and h being the height of the trapezoid.
In this particular case, we need to figure out the heights and base lengths, then we can input the values and solve.
The height is 7 yards (because it's the line that makes a right angle when it goes down), and the bases are 4.7 yards and 9.5 yards. Now we can input these values into our formula. The formula becomes:
A = (4.7 + 9.5)*7/2
A = 14.2 * 3.5
That means that our answer is A = 49.7 yd.², or A.
Answer:
(0.3478, 0.5522)
Step-by-step explanation:
Given:
Total number of red marbles, x = 45
Total number of marbles, n = 100
Phat = x / n = 45 / 100 = 0.45
The confidence interval, C.I is given by :
Phat ± Zcritical * standard error
Phat ± Zcritical * √Phat(1 - Phat) / n
Zcritical at 96% = 2.0537
The standard error = √Phat(1 - Phat) / n
S.E = √(0.45 * 0.55) / 100 = 0.0497493
C.I = 0.45 ± (2.0537 * 0.0497493)
C.I = 0.45 ± 0.10217013741
C. I = (0.3478, 0.5522)