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Liono4ka [1.6K]
3 years ago
6

in recent years 17.7% of households watched the finals of a popular reality series. There are 110.2 million households in the Un

ited States. How many households watched the finals?
Mathematics
1 answer:
prisoha [69]3 years ago
6 0
17.7%            x
-------- = -----------------
100%     110,200,000

If 110.2 million households equals 100%, then you just cross multiply to solve for what households are 17.7% - which is 19,505,400.
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Find out for what value of the variable:
Burka [1]

Answer:

a=-1,\ a=-5

x=-2+i,\ -2-i

Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

a^2+7a+6=a+1

Rearranging

a^2+6a+5=0

Factoring:

(a+1)(a+5)=0

There are two solutions:

a=-1,\ a=-5

The second case requires us to find the value of x such that

3x^2-x+1 =2x^2+5x-4

Rearranging

x^2+4x+5=0

This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:

x=-2+i,\ -2-i

5 0
3 years ago
15 POINTS PLEASE HELP!!! WILL MARK BRAINLIEST
dangina [55]

Given: ∠ DEF

To construct: ∠TSZ ≅ ∠DEF

Construction: Consider the attachment

Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST

Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.

Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.

Step-04: Now, join the point SQ and extend up to Z such that EF = SZ

Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF

6 0
2 years ago
14
mr_godi [17]
<span>radius=1/2 diameter
 are=radius^2*3.14
Hope I helped, and good luck!</span>
7 0
3 years ago
Read 2 more answers
An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di
Setler79 [48]
In 1, t<span>here are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, t</span><span>he probability of any individual outcome is 1/216 </span>

The outcomes that will add up to 6 are 
<span>1+1+4 </span>
<span>1+4+1 </span>
<span>4+1+1 </span>
<span>1+2+3 </span>
<span>1+3+2 </span>
<span>2+1+3 </span>
<span>2+3+1 </span>
<span>3+1+2 </span>
<span>3+2+1 </span>
<span>2+2+2 </span>

<span>Hence the probability is </span><span>10/216 </span>

In 3, the minimum sum of the three dice is 3. so we start with this 
<span>P(n = 3) </span>
<span>1+1+1 ; </span><span>1/216 </span>

<span>P(n = 4) </span>
<span>1+1+2 </span>
<span>1+2+1 </span>
<span>2+1+1 ; </span><span>3/216 </span>

<span>P(n = 5) </span>
<span>1+1+3 </span>
<span>1+3+1 </span>
<span>3+1+1 </span>
<span>1+2+2 </span>
<span>2+1+2 </span>
<span>2+2+1; </span><span>6/216 

The sum in 3 is 10/216 or 5/108</span>
3 0
3 years ago
Colton wants to buy a video game system in 3 months. The video game system cost $396. If he saves the same amount each month, ho
Margarita [4]
20........................
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3 years ago
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