Step-by-step explanation:
1. Ampltiude is 1
The period is
is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8
if it takes you 1.2 seconds to run one mile for 50 miles in 60 seconds then it would take you 18 second to run 15 miles
Answer:
117
Step-by-step explanation:
90×.30 or 30%=27
27+90=117
Answer:
a. 0.9049
b. 0.2297
c. 0.8473
Step-by-step explanation:
Given U = 46.7, SD = 1.75
and Z = (U - X)/sd
(a). We want to find P(X<=49)
P(X<=49) = P(Z<= 49-46.7/1.75)
= P(Z<= 1.31)
= 0.90490
~= 0.9049
(b) P(X>=48) = P(Z>=48-46.7/1.75)
=P(Z>=0.7429) = 1 - P(Z<=0.7429)
= 1 - 0.77035
= 0.22965
=0.2297
(c) The required probability is given by P(U±2.5).
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
Together they equal 90 degrees.
Equation:
(0.1x - 22) + (0.3x - 54) = 90
Open parenthesis and simplify:
0.4x -76 = 90
0.4x = 166
DIvide:
Your final answer is x= 415
Hope this helps!
