Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Answer: See explanation
Step-by-step explanation:
15.) -7x + 6 (x - 8/2) - 2(x + 3) + 10
-7x + 6 (x - 4) - 2(x + 3) + 10
-7x + 6x - 24 - 2x - 6 + 10
Bring like terms together
-7x + 6x - 2x - 24 - 6 + 10
-3x - 20
16.) B, C, D
B. 3 (x + 2) + 4x
3x + 6 + 4x = 7x + 6
C. -2 + 4(x + 3)
-2 + 4x + 12 = 4x + 10
D. 3x + 5(x - 1)
3x + 5x - 5
8x - 5
17.) A, B, D
A. 1/5(x - 50)
1/5x - 10
B. 1/6(-x + 12)
-1/6x + 2
D. 1/2(x + 16)
1/2x + 8
Answer:
0.73001
Step-by-step explanation:
1 month = 730.01 hours
730.01 * $0.001
= 0.73001
Approximately 0.73 or 0.7.
Let me help you!!! ok, so remember, it is always easier when you are multiplying one fraction, and one decimal, to keep it simple, and make it either both decimals, or both fractions! so, for instance, i will change the 3/4 into a decimal:
*0.75
you get that by dividing the 3 by 4.
Now, you just divide the 0.75 x 29.2, which is (21.9) hope that helps!!!
Answer:
The correct option is 1.
Step-by-step explanation:
Inconsistent system: If the given system has no solutions, then it is an inconsistent system.
Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.
Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.
The given equations are
.... (1)
..... (2)
Add both equations.
Substitute this value in equation (1).
The system of equations has only one solution, i.e.,(3,5).
Therefore the given system is consistent and independent. Option 1 is correct.
