Since there were 9 feet of ribbon and Jim uses 1/3 we are going to do 9/1 * 1/3 and get 3 Jim makes 3 ribbons.
Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = 
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
Answer:
136
Step-by-step explanation:
32*4=128
15=1/4 of a minute
32/4=8
128+8=136
We need to cross multiply to find this one.
9/146 = x/100
X100 X100
9 /146 = x
x = 6.164383562
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
