Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
Congruent= the same shape and size.
area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²
Area of the rectangle before it is dividide=40 cm²
Answer:
15
Step-by-step explanation:
Simplify the following:
8×9 - 6×7 - 15
8×9 = 72:
72 - 6×7 - 15
-6×7 = -42:
72 + -42 - 15
72 - 42 - 15 = 72 - (42 + 15):
72 - (42 + 15)
| 4 | 2
+ | 1 | 5
| 5 | 7:
72 - 57
| 6 | 12
| 7 | 2
- | 5 | 7
| 1 | 5:
Answer: 15
<h2>
Hello!</h2><h2>
Let me help you.</h2>
As I understand, you need to write an equation that relates
. This problem will be solved using equations. The problem states:
<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>
<em />
From this statement, we know that:
t: Number of candies Nick bought.
y: Number of friends.
Since I am included in this problem, the number of people involved here can be expressed as:

Since each of us got 7 candies, then it is true that:

<em>So t (number of candies) is a function of y(number of friends).</em>