Answer: C
Step-by-step explanation:
Simplify(Subtract 2)
x > 0
Greater than is represented by a open circle with an arrow pointing right. Because x is greater than <u>0</u>, the point must be on 0.
Hope it helps <3
Answer:
(x, y) = (-1/4, -3/4)
Step-by-step explanation:
1. Write as a system
2x + 2y = 14x - 2y = -2
2. Eliminate one variable by adding the equations
2x + 2y = -2
14 x - 2y = -2
3. Divide both sides by 16
16x = -4
4. Substitute the value of x into the equation.
x = -1/4
5. Solve the equation
2(-1/4) + 2y = -2
6. A possible solution is
y = -3/4
7. Check the solution
(x, y) = (-1/4, -3/4)
8. Simplify the expression
2(-1/4) + 2(-3/4) = 14(1/4) - 2(-3/4) = -2
9. The ordered pair is a solution
-2 = -2 = -2
10. (x, y) = (-1/4, -3/4)
Answer:
x=16
Step-by-step explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x
S.P. of x articles = Rs. 20
Profit = Rs. (20 - x)
∴20−xx×100=25
⇒ 2000−100x=25x
125x=2000
⇒ x=16
Answer:
The 95% confidence interval for μ for the given situation is between 87.49 and 94.51.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 91 - 3.51 = 87.49
The upper end of the interval is the sample mean added to M. So it is 91 + 3.51 = 94.51
The 95% confidence interval for μ for the given situation is between 87.49 and 94.51.