<span>[2×(10+5)]-5
[2*15]-5
30-5
25</span>
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Answer:
-35a
Step-by-step explanation:
Here, you just distribute: -7 * 5a
= -35a
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer: Your equation would be y = x(12 - 2x)(8 - 2x).
The volume of a rectangular prism is V = LWH. The initial length and width are given as 12 and 8, however that makes the height 0.
If we cut out the corners, they would be the length of x. When we cut out the corners, we are subtract the length x from both ends of the length and width.
So now our measurements are:
Length: 12 - 2x
Side: 8 - 2x
Height: x
Multiply them altogether and you have your equation. Then, you can use your equation to find any measurements that you need.
