Answer: A. z = -2.57
Step-by-step explanation:
Let p be the population proportion of people polled favor the incumbent.
As per given , we have

Sample size : n= 1030
sample proportion : 
Test statistic for proportion : 

Hence, the test statistic is z = -2.57 .
Thus , the correct answer is A. z = -2.57 .
Answer:
X = 60° (corresponding angles are equal )
Solve for <span>M</span><span> </span><span>by</span><span> </span><span>simplifying</span><span> </span><span>both sides of the</span><span> </span><span>equation</span><span>, then isolating the</span><span> </span><span>variable</span><span>.</span><span>M=<span>−<span>9</span></span></span>
Answer:
12
Step-by-step explanation:
x will be the age of her younger brother
34 = 2x + 10
She is ten more than twice his age
34 = 2x + 10
- 10 - 10
Then she twice his age
24 = 2x
÷2 ÷2
So his age is 12
x = 12
Answer:
Step-by-step explanation:
From table 1,
f(x) = bˣ
For x = -1,
f(-1) = 0.5
0.5 = (b)⁻¹
b =
b = 2
For x = 1.585,
f(1.585) = 3
3 = 
3 = 


For x = 2.585,
f(2.585) = 
= 
= 4 × 1.5 [Since,
]
= 6
From table 2,
g(x) = 
For x = 0.5,
g(0.5) = -1
-1 = 
b⁻¹ = 0.5
b = 2
For x = 2,
g(2) = 1
1 = 
For x = 6,
g(6) = 2.585
2.585 = 
2.585 = 
2.585 = 
2.858 - 1 = 

For x = 3,
g(3) = 
g(3) = 1.585