Answer: The correct answer is the third option, (-3,-4).
Step-by-step explanation: You plug in 2x + 2 for y, given that y = 2x + 2.
2x+2 = x - 1
x = -3
Now, you plug in -3 for x in an equation.
y = -3 - 1
y = -4.
(-3, -4)
1.
A graph is formed by plotting all pairs (x,y), such that y is f(x), for a certain function f.
for example:
Take a look at the graph. (x, y)=(3, 5) is on the graph. This means that f(3)=5 (because f(x)=y)
2.
The real solutions of a function f, are those points x, such that f(x)=0.
in the graph we see no point (x, 0), so there are no real solutions.
Answer: <span>No Real Solution</span>
Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis