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In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.

Answer:1/3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    3/2*(x-1/3)-(-5*x)>0  

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  3         1      

 (— • (x -  —)) -  -5x  > 0  

  2         3      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         x     x • 3

    x =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (1)     3x - 1

———————————  =  ——————

     3            3    

Equation at the end of step

2

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

3

:

           3

Simplify   —

           2

Equation at the end of step

3

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

4

:

Equation at the end of step

4

:

 (3x - 1)    

 ———————— -  -5x  > 0  

    2        

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

          -5x     -5x • 2

   -5x =  ———  =  ———————

           1         2    

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

(3x-1) - (-5x • 2)     13x - 1

——————————————————  =  ———————

        2                 2    

The equation at the end of step

5

:

 13x - 1

 ———————  > 0  

    2    

STEP

6

:

6.1    Multiply both sides by  2  

6.2    Divide both sides by  13  

     x-(1/13)  > 0

Solve Basic Inequality :

6.3      Add  1/13  to both sides

            x > 1/13

Answer:

I think the answer it 5

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

add 4 to -1 that gives you 3 and then slide 3 to the other side which gives you 3-3 and that equals 0.

Answer : 1.7 pounds

Step-by-step explanation:

8 1/2 / 5 = 1.7

Answer:

No

Step-by-step explanation:

Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .

Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.

The theoretical probability is the example of perfect probability and experimental probability  is the example of actual occurrence.

Their formulas are

Theoretical Probability = number of possible outcomes/ total number of possible outcomes

Experimental Probability =  number of favorable outcomes/ total number of actual outcomes

If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.

So the experimental probability is bit different from the theoretical probability.

Now if the cards are shuffled and the experiment is repeated 22 times

experimental probability of drawing a vowel  would not  be the same as the theoretical probability because n is small.

If n→1000 or more

n→∞

According to K. Pearson or Buffon when n tends to infinity the  theoretical probability becomes equal to experimental probability.

They experimented this on a coin and put forward their results.

Answer: b) 68%

Step-by-step explanation:

Gross margin is used to calculate the amount left of revenue after the costs of goods sold is accounted for.

The formula is:

= (Revenue - Cost) / Revenue

= (28,675 - 9,274) / 28,675

= 0.67658

= 68%

Answer:

-2

Tell me if I'm wrong

Answer:

90π in^3.

Step-by-step explanation:

Total Volume = volume of cylinder + volume of the hemisphere.

= πr^2h + 1/2*4/3πr^3

= π * 3^2 * 8 + 2/3 π 3^3       ( Note the radius r = 1/2 diameter = 1/2*6 = 3)

= 72π + 18π

= 90π in^3.

Answer: The answer above me is correct.

Step-by-step explanation:  good luck on the quiz :)

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

:)

Answer:

366 calories

Step-by-step explanation:

122 * 3 = 366

The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients

We are given;

Number of patients the dental hygeinist cleans before lunch = 5

Average number that she cleans after lunch = 9 patients in 4 hours

Thus, number of patients per hour is 9/4

The formula for slope intercept form is;

y = mx + c

Thus, equation to represent the situation in the question is;

y = 9/4x + 5

At 2 hours after lunch, number of patients is;

y = 9/4(2) + 5

y = 9.5

Approximately 9 patients

Read more about Functions at;

https://brainly.com/question/1415456

#SPJ2

Answer:

x = 50

Step-by-step explanation:

3x - 10 and 2(x + 10) are vertical angles and congruent , so

3x - 30 = 2(x + 10)

3x - 30 = 2x + 20 (  subtract 2x from both sides )

x - 30 = 20 ( add 30 to both sides )

x = 50

Answer:

Amount of butter need for 1 cup of oil = 2 cup of butter

Step-by-step explanation:

Given:

Amount of butter need for 1/2 cup of oil = 1 cup

Find:

Amount of butter need for 1 cup of oil

Computation:

Amount of butter need for 1/2 cup of oil = 1 cup

1 cup butter = 1/2 cup oil

So,

Amount of butter need for 1 cup of oil = 1 / [1/2]

Amount of butter need for 1 cup of oil = 1 / [0.5]

Amount of butter need for 1 cup of oil = 2 cup of butter

Answer: 73.2 degrees

Step-by-step explanation:

Have a great summer

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

Answer:

Step-by-step explanation:

Answer:

s=2

Step-by-step explanation:

6=3s

6/3=3s/3 divide both sides by 3

2=s

Answer:

Step-by-step explanation:

volume=15×5×5+8×4×5+8×4×5

=375+160+160

=695 m³

Answer:

695 m^3

Step-by-step explanation:

With this object, there are three rectangular prisms. The equation to find the volume of them is L*W*H.

So, with the small one in the front, the sides are 8, 4, and 5, so do:

8*4*5 ---> 160

Next, with long middle one, the sides are 5, 5, and 15, so do:

5*5*15 --->375

Then, with small one in the back, 8, 4, and 5 again, so do:

8*4*5 ---> 160

To finish it off, add them all together.

160 + 375 + 160 = 695 m^3

Answer:

D

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

Answer:

63 inches

Step-by-step explanation:

Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon.

Step 1

We convert from yards to inches

1 yard = 36 inches

2 yards = x

Cross Multiply

x = 2 × 36 inches

x = 72 inches

Step 2

Then, he cuts off 9 inches to decorate the present.

The number of inches of ribbon he has left now is calculated as:

72 inches - 9 inches

= 63 inches

Therefore, he has 63 inches of ribbon left

Answer:

[tex]t = 0.375s[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1

[tex]Rate = 2ft/s[/tex] -- driver 2

[tex]height = 33ft[/tex]

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]

So, the function is:

[tex]h_2(t) = Height - Rate * t[/tex]

[tex]h_2(t) = 33 - 2t[/tex]

The time they drive pass each other is calculated as:

[tex]h(t) = h_2(t)[/tex]

[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]

Collect like terms

[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]

[tex]-16t^2 + 6t= 0[/tex]

Divide through by 2t

[tex]-8t + 3= 0[/tex]

Solve for -8t

[tex]-8t = -3[/tex]

Solve for t

[tex]t = \frac{-3}{-8}[/tex]

[tex]t = 0.375s[/tex]

Answer: A

Step-by-step explanation:

nwkwnajnana

The answer is D. 20 units

Answer:

20 units

Step-by-step explanation:

Answer:

21.91 meters

Step-by-step explanation:

Since they already give you the hypotenuse, you will find the other missing side using this formula:

A= [tex]\sqrt{c^2 - b^2}[/tex]

So c² = 1,156

and b² = 676

1156 - 676 = 480

------

The square root of 480 is around 21.91

Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.

So: 480.05 + 676 = 1,156.05

[tex]\sqrt{1156.05}[/tex] ≈ 34

-------

Have a good day :)

Answer:

17.14

Step-by-step explanation:

tan 35 = 12/x

x = 12/ tan 35

= 17.14

Answer:

57.18

Step-by-step explanation:

C = 2πr

C = 2(π)(9.1)

C = 57.18

.

=2×22/7×12

=75.42in

And

d=18.2cm

[tex]c = \pi \: d[/tex]

= 22/7×18.2

=57.2cm

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex]  = 48°

∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°

m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]

m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)

∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°

m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]

∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°

m[tex]\widehat{EG}[/tex] = 89°.

Given:

Base length of triangle = 10 units

Height of triangle = [tex]\sqrt{44}[/tex] units

Length of hypotenuse of triangle = 12 units

To find:

Exact value of Cos A

Steps:

The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.

So,

Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos A = [tex]\frac{10}{12}[/tex]

Cos A = 0.833

Therefore, the exact value of cos A is 0.833.

Happy to help :)

If u need any help, feel free to ask

Answer:

11.5 I think??

Step-by-step explanation:

11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5