Answer:
Space between 80 evenly spaced chairs = 21m
Step-by-step explanation:
So, according to the given statement, we have the following expression:
No. of chairs ∝ 
70 chairs are 24m apart, so it can be written as:
70 ∝ 
For, 1 chair , we divide both sides by 70
∝ 
1 ∝ 
-----------------------(Equation 1)
<u>For 80 chairs:</u>
Multiply both sides of <em>Equation.1</em> by 80
80 ∝ 
80 ∝ 
So according to the above relation,
<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side). The triangle will be right if a² + b² = c²
<span>a. 13 35 37
13</span>² + 35² = 1394 and 37² = 1369
1394 ≠ 369
<span>b. 6 9 10
</span>6² + 9² = 117 and 10² = 100
117 ≠ 100
<span>c. 5 12 13
</span>5² + 12² = 169 and 13² = 169
169 = 169 ← <span> right triangle
</span>d. 9 40 42
9² + 40² = 1681 and 42² = 1764
1681 ≠ 1784
The answer is <span>c. 5 12 13</span>
My calculator shows that
(2.1)/(1.488) = 1.41129
which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40
Try 1.41 and it should work out, assuming your teacher wants two decimal places.
they're on a ratio of 3:2, so if the small is 2, the large one is 3, and if the small one is 120, the large one is 180.
on a 3:2 ratio, 3 is larger than 2 by 1 unit, 1 is 50% of 2, or half, so the longer side is 50% larger.
Answer:
The 95% confidence interval would be given by (0.0772;0.1308)
Step-by-step explanation:
For this case we can calculate the estimated proportion like this:
We can assume that the normal model can be used since we satisfy two conditions:
The confidence level for this case is 95% of confidence, and the significance is given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
Replacing the values we got:
The 95% confidence interval would be given by (0.0772;0.1308)
