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Natali [406]
3 years ago
8

Historically, in the early to middle 1900’s, households that had a telephone in their home were considered to earn an above aver

age annual income.
In 1948, pollsters famously predicted that Dewey would beat Truman for the presidency because Dewey was ahead in telephone polls. What bias led them to make the wrong prediction?

A. They only called on Tuesdays.
B. Many people did not have telephones.
C. They worded the question to favor Dewey.
D. Truman supporters would hang up.
Mathematics
1 answer:
irinina [24]3 years ago
3 0
The correct option is B.
From the information given in the question, we can see that only the rich in the society had telephone in their homes during the time of the said presidential election. Thus, the presidential candidate that was ahead in telephone polls was actually getting in touch with the rich only; he was not getting through to the larger part of the society, who are poor. Since both the poor and  the rich are going to vote in the presidential election, it means that Dewey campaigned to only a subset of the society, that was why he was defeated during the election.  
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Business/multivariable calc question<br> help needed asap!!!!
UkoKoshka [18]

Answer:

There is a <u>   min   </u>  value of <u>   800   </u> located at (x,y) = <u>   (16, 12)   </u>

==========================================================

Explanation:

Let's solve the second equation for y

4x+3y = 100

3y = 100-4x

y = (100-4x)/3

We'll plug that into the first equation

f(x,y) = 2x^2+2y^2

g(x) = 2x^2+2((100-4x)/3)^2

g(x) = 2x^2+(2/9)*(100-4x)^2

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.

Apply the derivative to help find the minimum

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

g ' (x) = 4x+(2/9)*(-800+32x)

------------------------

Set the derivative function equal to 0 and solve for x

g ' (x) = 0

4x+(2/9)*(-800+32x) = 0

4x+(2/9)*(-800)+(2/9)*(32x) = 0

4x-1600/9+(64/9)x = 0

9(4x-1600/9+(64/9)x) = 9*0

36x-1600+64x = 0

100x-1600 = 0

100x = 1600

x = 1600/100

x = 16

Use this x value to find y

y = (100-4x)/3

y = (100-4*16)/3

y = (100-64)/3

y = 36/3

y = 12

-----------------------

Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2

That smallest f(x,y) value is...

f(x,y) = 2x^2+2y^2

f(16,12) = 2*16^2+2*12^2

f(16,12) = 800

8 0
3 years ago
What is the perimeter of khgj?
kaheart [24]

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

3 0
3 years ago
Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

<u>x = 1, -3</u>

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What is the midway of XY?
Lostsunrise [7]

The midpoint of XY is -0.5

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What’s missing reason in the proof
svetlana [45]

Answer:

SSS congruence theorem.

Step-by-step explanation:

We have proved that the 3 sides of the triangles are congruent.

6 0
3 years ago
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