# A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?

2 months ago

## Solution 1

Guest #886
2 months ago
The answer is 20% of the 1000 people, as 100%-80%+20%. 1000 times 0.2 equals 200 people that knew the name.

## 📚 Related Questions

Question
What is the exact area of a circle having the diameter of 6in A:9 pie B: 36pie C: 6 pi D: 3pie
Solution 1
Area of circle = pi r^2
r = 6/2 = 3
so
A = pi (3)^2 = 9pi

A. 9 pi
Question
A pie takes 2/3 of an hour to bake if a pie is put into the oven at 7:30 at what time does it need to be taken out.
Solution 1
Convert hour to minutes:
2/3 hours = 2/3 x 60 = 40 mins

30 mins                    10 mins
|-----------------------------|--------------------------------|
7.30                             8.00                               8.10

Solution 2
You would have to take the pie out at 8:10, because 2/3 of an hour is 40 minutes. To make the addition of time easier break it up into bits, like for here you could say, 7:30 plus 30 minutes out of the 40 is 8:00 then you could just add the extra ten minutes afterwords!
Hope this helps, have a good day!

Question
A rectangular pentagon has an apothem of
Solution 1
3.2m and an area of 37.2 m2.
Hope this helped a little.
Question
Simplify (2x + 3)(x – 4) = ?
Solution 1
Solutions

1) Equation
⇒ (2x+3)(x−4)

(2x+3)(x+−4)
(2x)(x)+(2x)(−4)+(3)(x)+(3)(−4)
⇒2  8x+3x−12
⇒2  5x12

−5x−12

Question
How much does your employer pay into the Social Security system on your behalf? A - 4.2 percent B - 8.4 percent C - 6.2 percent D - 12.4 percent
Solution 1
Workers pay an average of 6.2 percent which is 127,000 a year. But employers pay a matching amount for a combined contribution of 12.4 percent of earnings.

Meaning you are either getting 6.2 percent for being a WORKER.
or getting 12.4 percent for being a EMPLOYER.

In this question you are looking for employer so the answer is 12.4

Solution 2

In this question you are looking for employer so the answer is 12.4

Question
Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4. A) 5 B) 7 C) 19 D) 23 2) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10. A) -10 B) -34 C) -38 D) -106 3) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1. A) 5 B) 6 C) 48 D) 96
Solution 1
We know that

Part a) Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4
t1=3
t2=t1+4----> 3+4-----> 7
t3=t2+4-----> 7+4----> 11
t4=t3+4-----> 11+4---> 15
t5=t4+4-----> 15+4---> 19

the answer Part a) is 19

Part b)
Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10

we know that
tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)
t1=2
t4=-10
n=4
find the value of d
d=[-10-2]/(4-1)-----> d=-12/3----> d=-4
find the
tenth term (t10)
t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34

the answer Part b) is -34

Part c) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1
t1=3
t2=2*t1----> 2*3----> 6
t3=2*t2----> 2*6----> 12
t4=2*t3-----> 2*12---> 24
t2=2*t4----> 2*24----> 48

the answer Part c) is 48
Question
You pick a card at random. Without putting the first card back, you pick a second card at random. [1] [2] [3] What is P(3, greater than 2)? Write your answer as a percentage.
Solution 1
Probability of first getting a  3 = 4/52 = 1/13
The p(getting >2)  =   probability of getting  one of the remaining 3's or 40 other cards ( Im taking the aces to be low value)  = 43/51

Required probability = 1/13 * 43/51 =  43/663

If aces are counted high it will be 1/13 *  47/51 =   47/531

=
Question
Kristin decides to spend at most \$50 for a birthday dinner at a restaurant, including a 15% tip., Write an inequality in one variable to represent this situation. What is the most that her meal can cost before a tip?
Solution 1
Let
x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most \$50
so
x <= \$50

x <= 50

Part b) What is the most that her meal can cost before a tip?

the tip is 15%
so
cost after tip=1.15*cost before a tip
cost before a tip=cost after tip/1.15
50/1.15-------> \$43.48

\$43.48
Question
What is compound interest? A - the interest earned on the principal of an investment B - the interest earned on both the principal and interest of an investment or savings account C - the interest earned on a mutual fund D - the interest earned on a loan
Solution 1
That would be B .  The interest  is earned on the principal and interest earned previously.
Solution 2

The interest  is earned on the principal and interest earned previously

:)

Question
If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Solution 1
By proportion that would be 8/5 *  1/4  = 8/20 = 2/5 of a pizza.

2647929
842281
748681
586256
406852
368373
348603
324927
199835
130075
112100
106146
77164
23213
22589
19607
17108
13966
10987
3389