If you graph the points it comes out as a square, so the correct answers would be square, rectangle, parallelogram, and rhombus (a square can be these three but these shapes cannot be squares)
1/3 of 6=2(4 left)
3/8 of 4=1 1/2
1 1/2 yards left
Answer:
Step-by-step explanation:
The number of red marbles in the bag is; 
.
The number of blue marbles in the bag is; 
.
The number of white marbles in the bag is; 
.
The total number of marbles in the bag is: 
.
The probability of selecting a blue marble is 
We substitute the given information to obtain:
We simplify to obtain:
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
