Answer:
For a = 1.22 there is one solution where y = 1.3
Step-by-step explanation:
Hi there!
Let´s write the system of equations:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
-1.2(x-0.5) = 0
Let´s solve the second equation for x:
-1.2(x-0.5) = 0
x- 0.5 = 0
x = 0.5
Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0
a(-1) + 1.1 + 1.2(0.1) = 0
-a + 1.22 = 0
-a = -1.22
a = 1.22
Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:
1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0
0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0
-0.02y +0.026 = 0
-0.02y = -0.026
y = -0.026 / -0.02
y = 1.3
Then, the answer is correct.
Have a nice day!
Answer:
P=2.326
Step-by-step explanation:
Raw Score (X):=1000
Population Mean (μ):=460
Standard Deviation (σ): =Sqrt(npq)
Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54
Sqrt(npq)=sqrt(460X0.54)=15.7607
Z = (X - μ) / σ
Z = (1000 - 460) / 15.7607
Z = 34.26244
For p-value 0.01
P(x=0.01) = 2.32635
Hence, P=2.326 t 3 decimal places.
Answer:
Use this to solve 3
Step-by-step explanation:
Area = 1/2 b.c sin A
=1/2(13.1)(8.7)sin29. 17
Every inch of length of his model is representative of 25 inches in the actual car. So if the the actual car was 25 inches long, the model would be 1 inch long. The means the ratio of length is 0.04. You take that number, and multiply it by length of the actual car. 0.04 x 193.75 inches = 7.75 inches. The length of the model car is 7.75 inches.
Answer:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79
