3 3/4÷ 1/4
15/4÷1/4
15/4÷4/1
15*4=60
4*1=4
60/4=15
15 times 1/4 can fit into 3 3/4.
Answer:
- Area of the circle is 113.04 ft²
Step-by-step explanation:
Given:
- Diameter of circle = 12 feet
To Find:
Using formula:
<em>Where,</em>
- π = 3.14
- Diameter = 12 feet
- Radius = 12/2 = 6 feet
On substituting the required values, we get:
Hence,
- Area of the circle is<u> </u>113.04 ft²
Answer: 149 pieces of candy
Step-by-step explanation:
We will divide the total number of pieces of candy by the number of students to find how many each student receives.
3,874 / 26 = 149
Each student will receive 149 pieces of candy.
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
