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Natali [406]
1 year 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]1 year 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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Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The
aliina [53]

Answer:

The correct option is B) c=\frac{5}{\cos35^0}.

Step-by-step explanation:

Consider the provided information.

Angle A C B is 90 degrees and angle A B C is 35 degrees.

The required figure is shown below:

We need to find the value of c.

Use the trigonometric function: \cos\theta=\frac{Adjacent}{Hypotenuse}

\cos35^0=\frac{5}{c}

c=\frac{5}{\cos35^0}

Hence, the correct option is B) c=\frac{5}{\cos35^0}.

4 0
1 year ago
Read 2 more answers
Ariel left her home at 9 a.m., driving at 45 mph. At 11 a.m. her brother left the home and started after her at 60 mph. At what
Vlada [557]

Answer:

5:00 pm

Step-by-step explanation:

Let

x -----> the umber of hours

y ----> the total distance in miles

we know that

The distance is equal to the speed multiplied by the time

Find out the distance traveled by Ariel at 11:00 am

11:00 am-09:00 am=2 hours

45(2)=90 miles

so

<em>Ariel's linear equation is</em>

y=45x+90 ----> equation A

<em>Ariel's brother linear equation is</em>

y=60x ----> equation B

Equate equation A and equation B

60x=45x+90

Solve for x

60x-45x=90

15x=90

x=6\ hours

Adds 11:00 am + 6 hours=17:00 =5:00 pm

6 0
2 years ago
The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
1 year ago
Given: FH ⊥ GH; KJ ⊥ GJ Prove: ΔFHG ~ ΔKJG Identify the steps that complete the proof. ♣ = ♦ = ♠ =
Feliz [49]

1 is all right angles are congruent 2 angles fgh is congruent to angle kgj 3 aa similarity theorem just took the test this are correct

6 0
2 years ago
Read 2 more answers
The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat
Oliga [24]

A geometric series is written as ar^n, where a is the first term of the series and r is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by r.

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots.

Let's use the other information, since the last term is 4374 > 6, we know that r>1, otherwise the terms would be bigger and bigger.

The information about the sum tells us that

\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558

We have a formula to compute the sum of the powers of a certain variable, namely

\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}

So, the equation becomes

6\cfrac{r^{n+1}-1}{r-1} = 6558

The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558

and the last term is

6*3^6 = 4374

7 0
1 year ago
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