Answer:
- The surface area of the sphere in terms of r is 4πr^2 square units.
- The surface area of the cylinder in terms of r is 4πr^2 square units.
- The surface area of the cylinder and sphere are the same.
Step-by-step explanation:
The surface area of the sphere is given by the formula ...
A = 4πr^2
The surface area of the cylinder is given by the formula ...
A = 2πr^2 +2πrh
Here, the height (h) is equal to r, so this simplifies to ...
A = 2πr^2 +2πr·r = 4πr^2 . . . . . the same area as the sphere
Answer:
6,000,000.005
Step-by-step explanation:
The correct answer in [standard form] is 6,500,000
one million= 1,000,000
six million= 6,000,000
one thousandth= .001
five thousandth= .005
6,000,000.005
Word Form: Six million and five thousandth
Answer:
This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.
Step-by-step explanation:
When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;
2,4,6, 10, 14, 18, 20, 22, 24
The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
The answer is 2.0190
Step-by-step explanation:
<em>From the given question,</em>
<em>We recall that,</em>
<em>p = 141/241 = 0.5850</em>
<em>so, p = 0.5</em>
<em>The Hypothesis is:</em>
<em>H₀ : P = 0.5, this means that H0:50% of the games played will be won</em>
<em>vs</em>
<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>
<em>n=241,x=141</em>
<em>Then,</em>
<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>
<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>
<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>
