The city of Raleigh has 6000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 250 randomly selected registered voters was conducted. 100 said they'd vote for Brown, 141 said they'd vote for Feliz, and 9 were undecided. Describe the population actually represented by this survey.

Answer:

1. Yes

2. No

3. Yes

Step-by-step explanation:

We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.

To solve we need to substitute the x in every equation for -4. Start :

1.

3(2(-4) - 4) = -36

3(-8 - 4) = -36

-24 - 12 = -36

Therefore -4 is a solution.

2.

5(-4) - 6(-4) - (-4) = 18

-20 + 24 + 4 = 18

4 + 4 = 18

8 ≠ 18

Therefore -4 is not a solution.

3.

5 - 2(3(-4) - 1) = 31

5 - 2(-12 - 1) = 31

5 - 2(-13) = 31

5 + 26 = 31

Therefore -4 is a solution.

Answer:

1508.6 steps

Step-by-step explanation:

one mile = 5280 feet

42 inches = 3.5 feet

5280 / 3.5 = 1508.57

Answer:

Length of the person = 1.9 m

Step-by-step explanation:

Actual length of the lorry = 9.5 m

Length of the lorry as per scale = 10 cm

Scale factor used to get the actual length of the lorry = [tex]\frac{\text{Actual length}}{\text{Length on scale}}[/tex]

                                                                                         = [tex]\frac{9.5}{10}[/tex]

                                                                                         = 0.95 : 1

Let the actual length of the person = x meters

Length of the person as per scale = 2 cm

Scale factor used to get the length of person is same.

Therefore, relation between the actual length of the person and scale length will be,

[tex]\frac{x}{2}= \frac{0.95}{1}[/tex]

x = 2 × 0.95

x = 1.9 meters

Question unclear

Step-by-step explanation:

If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape.  Please add a picture of the shape.

Answer:

If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape.  Please add a picture of the shape.

Step-by-step explanation:

Answer:

-3m+7.5=4.5m

Step-by-step explanation:

Answer:x=-5/11

Step-by-step explanation:

2x+2+20x=−8

Step 1: Simplify both sides of the equation.

2x+2+20x=−8

(2x+20x)+(2)=−8(Combine Like Terms)

22x+2=−8

22x+2=−8

Step 2: Subtract 2 from both sides.

22x+2−2=−8−2

22x=−10

Step 3: Divide both sides by 22.

22x/22=-10/22

Answer:

whats your snap ill help

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 10-22 means 10⁻²², you need to use a ^ to indicate the exponent: 10^(-22)

(7×10⁻²¹)/(7.6×10⁻²²) = (7×10⁻²¹)/(0.76×10⁻²¹) = 7/0.76 ≅ 9.2

Answer:

55 minutes

Step-by-step explanation:

The amount of time that is needed to pass to change 6:30 into 7:05 is 35 minutes. The amount of time that is needed to pass to change 3:55 to 4:15 is 20 minutes. If you add the time Joe practiced on Monday and Tuesday altogether it's 55 minutes.

Hope I could help! :)

Answer:

Y>2x-4

B

Have a great day, hope this helps

Answer:

$1.50 is 105 Naira

Step-by-step explanation:

If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...

1.5 x 70 = 105 (Naira)

Answer:

105 Naira

Step-by-step explanation:

Please see the attached image.

I hope this helps!

Answer:

1) 7 x (6+y)

2)(  y x 6) + (y x 7)

3) 6(y+7)

4) (y x 6) + y^2

I hope im right !

Step-by-step explanation:

( 7 * 6 ) + ( 7 * y) ➡ 7 (6 +y)

y(6 + 7) ➡ ( y * 6 ) + ( y * 7)

( 6 * y) + ( 6 * 7) ➡ 6 ( y + 7)

y( 6 + y) ➡ ( y * 6 ) + y²

Hope it will help :)

Answer

112

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

What I would do is how much she would score if the test was a 25 question test. She would have scored 21.33. Now add this to her current score. 64+21.33 = 85.33. The rounded answer is 85.

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

Answer:

(a) [tex]y = \frac{4}{x^2}[/tex]

(b) [tex]x = \frac{2}{5}[/tex]

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

See attachment for table

Solving (a):

First convert variation to equation

[tex]y = k\frac{1}{x^2}[/tex]

From the table:

[tex](x,y) = (1,4)[/tex]

So, we have:

[tex]4 = k * \frac{1}{1^2}[/tex]

[tex]4 = k * \frac{1}{1}[/tex]

[tex]4 = k * 1[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = k\frac{1}{x^2}[/tex]

[tex]y = 4 * \frac{1}{x^2}[/tex]

[tex]y = \frac{4}{x^2}[/tex]

Solving (b): x when y = 25.

Substitute 25 for y in [tex]y = \frac{4}{x^2}[/tex]

[tex]25 = \frac{4}{x^2}[/tex]

Cross Multiply

[tex]25 * x^2 = 4[/tex]

Divide through by 25

[tex]x^2 = \frac{4}{25}[/tex]

Take positive square roots of both sides

[tex]x = \sqrt{\frac{4}{25}[/tex]

[tex]x = \frac{2}{5}[/tex]

Answer:

10

Step-by-step explanation:

275 - (75*3). This is the money he has left.

Divide that by 5 to get 10 mouthguards.

Answer:

10

Step-by-step explanation:

3 times 75=225 275-225=50 50/5=10

Answer:

Step-by-step explanation:

For all Plato users.

We have to find the sum of the series has been given as.

[tex]\sum_{k=1}^{8}5(\frac{4}{3} )^{k-1}[/tex] -----(1)

If the series has been given as,

[tex]\sum_{n=1}^{k}a(r)^{n-1}[/tex] -------(2)

It's a geometric series with first term 'a' and common ratio 'r'.

Comparing both the expressions (1) and (2),

[tex]a=[/tex] 5

[tex]r=\frac{4}{3}[/tex]

Number of terms 'n' = 8

Sum of the k terms of this series is given by,

Sum = [tex]\frac{a(r^k-1)}{r-1}[/tex]

       = [tex]\frac{5[(\frac{4}{3})^8-1)]}{\frac{4}{3}-1 }[/tex]

       = [tex]\frac{5(9.98872-1)}{\frac{1}{3}}[/tex]

       = [tex]\frac{44.9436}{\frac{1}{3} }[/tex]

      = 134.83

Therefore, Option (B) is the correct option.

Learn more,

https://brainly.com/question/21087466

Answer: 0.0208

Step-by-step explanation:

Given: The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes.

Let x = time taken to find parking spot

The probability that a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus will be :

[tex]P(x<2)=P(\dfrac{x-\mu}{\sigma}<\dfrac{2-4.75}{1.35})\\\\=P(Z<-2.037)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<2.037)\\\\=1- 0.9792=0.0208\ \ \ \text{[By p-value table]}[/tex]

Hence, the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus.= 0.0208

9514 1404 393

Answer:

  (b)  540 boxes

Step-by-step explanation:

The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).

The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).

The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).

The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...

  18 × 5 × 6 = 540 boxes

_____

In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...

  (28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit

Answer:

18 students have been told the title of the next play

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 times 6 plus 6

Answer:

Step-by-step explanation:

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

    Domain of the graph = [-6, 5]

    Since, y-values vary from y = -2 to y = 3

    Range of the graph = [-2, 3]

4). Domain of the graph = [-3, 3]

    Range of the graph = [-6, 5]

5). Domain of the graph = (-∞, ∞)

    Range of the graph = (-∞, ∞)

6). Domain of the graph = (-∞, 4]

    Range of the graph = (-∞, ∞)

7). Domain of the graph = (-∞, ∞)

    Range of the graph = [-1, 5]

8) Domain of the graph = [-1, 5)

    Range of the graph = [-3, 3)

Answer:

Step-by-step explanation:

Answer: false

Step-by-step explanation:

Answer:

-5/2+-2

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced.

The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210.

Solution:

a) Let x represent model pump A and let y represent model pump B.

Since There are 63 lbs of stainless steel available, hence:

4.5x + 3y ≤ 63

Both pumps must be at least 12 pumps. Therefore:

x + y ≤ 12

There are orders for at least 6 of the lightweight Model B:

y ≥ 6

Also,  no more than 15 Model B pumps be produced:

y ≤ 15

The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. The cost equation is:

Minimize Cost = 150x + 210y

b)

Hence the LP formation is:

Minimize Cost = 150x + 210y

4.5x + 3y ≤ 63

x + y ≤ 12

y ≥ 6

y ≤ 15

x ≥ 0.

c) The LP problem was solved using geogebra online graphing tool.

The points that satisfy the problem are:

(0, 6), (0,12), (6, 6)

At (0,6); cost = 150(0) + 210(6) = 1260

At (0,6); cost = 150(0) + 210(12) = 2520

At (6,6); cost = 150(6) + 210(6) = 2160

Hence the minimum cost is at (0, 6)

Answer:

The answer is -3x + 3