Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones
.
Answer:
-5
-3
-2
Rule: Subtract 2 from the input value
Step-by-step explanation:
Examine the pattern of the input and the corresponding output for the two given ordered pairs:
Input -2 → Output -4
Output - Input = -4 - (-2) = -2
Input 1 → Output -1
Output - Input = -1 - 1 = -2
Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).
As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:
Output = Input - 2
or as an equation: 
Volume of a cylinder = πr²h
1256 = (3.14) x (r)² x (13)
1256 = 40.82r²
r² = 1256 ÷ 40.82
r² = 30.769
r = √30.69
r = 5.547
Diameter = Radius x 2
Diameter = 5.547 x 2
Diameter = 11.09 units (nearest hundredth)
Answer:
a)9:7 b) 9:16 c) 7:16
Step-by-step explanation:
the no of girls (320-180)=140
a) ratio of no of boys and girls=180/140=9/7=9:7
b)ratio of boys and total pupil=180/320=9/16=9:16
c) ratio of the girls and pupils=140/320=7/16=7:16
Let x and y be the two numbers. We have:
Subtract the first equation from the second to get
And deduce
The two numbers are 3 and 11.
