1. Eighty-nine percent of Americans polled are in favor of arts education being taught in public

schools.

a. Does the above numerical value describe a parameter or a statistic?

b. After reading the above statement, you decide to campaign for the arts in education and

use the statement: "A majority of Americans are in favor of art education, which shows

their love of arts. Americans support ballet teaching in public schools." What branch of

statistics would you be applying?

Answer:

85.95

Step-by-step explanation:

If the local tax was 8% and we want to know what is was without the tax then we need to do 93.42 times .92

[tex]93.42*.92=85.9464[/tex]

Since money only goes to the hundredths place we need to round there

[tex]85.95[/tex]

Based on the amount that Adrian spent in total, the cost without taxes was $86.50.

The cost of the clothes was $93.42 including tax.

Assuming the original cost is x, the equation is:

Total cost = Original cost x ( 1 + tax)

Solving would give:

93.42 = x × (1 + 8%)

93.42 = 1.08x

x = 93.42 / 1.08

= $86.50

In conclusion, the cost without taxes was $86.50.

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Answer:

a. R(t) = 2t - 500

b. D(t) = 400 + 10t

c. T(t) = 400 + 10t + 2t -500

Step-by-step explanation:

donations: $400; every person costs: $10; raffle ticket: $2; winner: $500

a. R(t) = 2t - 500

2t is the raffle tickets. t represents each person. -500 represents the money that the school loses for giving away the money to the winner.

b. D(t) = 400 + 10t

400 is the pre-donation that they had. 10t is the fee for entering the dinner per person. t represents each person.

c. T(t) represents all the money the school will gain (and lose) from the fundraiser. This stands to reason that T(t) is a combination of R(t) and D(t) since R(t) is the raffle and D(t) is the donations and dinner.

T(t) = 400 + 10t + 2t -500

Hope this helps!

Answer:

0.5

Step-by-step explanation:

its hard to explian how to do it but you can find a video im sure

Answer:

d

Step-by-step explanation:

thats the answer

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The coordinates of the vertices of trapezoid ABCD after it has been rotated 90° counterclockwise about the origin and then reflected over the x-axis. A(−5,−3), B(−4,0), C(−2,0), and D(0,−3).

Then the new coordinate after transformation will be A''(3, 5), B''(0, 4), C''(0, 2), and D''(3, 0). Then the correct option is D.

The diagram is attached below.

More about the transformation of the shape link is given below.

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Answer:

The value is  [tex]n_2 = 260[/tex]

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the width of  a confidence interval is dependent on the margin of error which is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * \frac{ \sigma}{\sqrt{n} }[/tex]

Here [tex]\sigma[/tex] is the standard deviation  

Let assume that [tex]\sigma[/tex] and  [tex]Z_{\frac{\alpha }{2} } [/tex] are constant for the width of the confidence interval when the sample size is  n =65 and now that it has been divided to two

=>  [tex]E = \frac{ K }{\sqrt{n} }[/tex]

Here  K is a constant  

=>   [tex]E * \sqrt{n} = K[/tex]

=>    [tex]E_1 * \sqrt{n}_1 = E_2 * \sqrt{n}_2[/tex]

Now let [tex]E_1 \ and \ n_1[/tex] be the margin of error and sample size before the reduction

  So [tex]n_1 = 65[/tex]

and let [tex]E_2 \ and \ n_2[/tex] be the margin of error and sample size after the reduction  

    So  [tex]E_2 = \frac{1}{2} E_1[/tex]

=>   [tex]E_1 * \sqrt{65} = \frac{E_1}{2} * \sqrt{n}_2[/tex]

=>   [tex]\sqrt{65} = \frac{1}{2} * \sqrt{n}_2[/tex]

=>   [tex]n_2 = 260[/tex]

Answer:

288

Step-by-step explanation:

I looked it up so it could be wrong

Answer:

288

Step-by-step explanation:

Answer:

48 meters

Step-by-step explanation:

First, use trigonometric ratios formula to find the distance of each of them from the tower. The difference between their distance from the tower will give you the distance they stood apart from each other.

Distance of the first person from the Tower with am angle of elevation of 25°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

[tex] tan(25) = \frac{opp}{adjacent} [/tex]

[tex] tan(25) = \frac{30}{x} [/tex]

Multiply both sides by x

[tex] tan(25)*x = 30 [/tex]

Divide both sides by tan(25)

[tex] x = \frac{30}{tan(25)} [/tex]

[tex] x = 64 m [/tex] (nearest whole number)

Distance of the second person from the Tower with am angle of elevation of 15°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

[tex] tan(15) = \frac{opp}{adjacent} [/tex]

[tex] tan(15) = \frac{30}{x} [/tex]

Multiply both sides by x

[tex] tan(15)*x = 30 [/tex]

Divide both sides by tan(15)

[tex] x = \frac{30}{tan(15)} [/tex]

[tex] x = 112 m [/tex] (nearest whole number)

Distance between both of them = 112 - 64 = 48 meters

Answer:

5x−2y=−5, Eqn (1). y−5x=3, Eqn (2). y

Step-by-step explanation:

Answer: sample mean = 495

Step-by-step explanation:

Given that :

Population mean = 495

Population standard deviation = 118

Sample size = 100

The sample mean according to the central limit theorem will be the same as the population mean ; According to the central limit theorem, the sample mean converges to the population mean as the sample size becomes larger, according to the theorem, usually once the SAMPLE size is greater than 30.

Here, the sample size is 100, Hence, the sample mean, will be equal to the population mean.

Sampling distribution of average score = 495 = population mean

Answer:

Step-by-step explanation:

Given parameters:

              1 mile = 6 x 10⁴ inches

Average human hair  = 3 x 10⁻³ inches

Unknown:

How many times longer is a mile than a human hair;

Solution:

 Since we know that a mile 6 x 10⁴ inches , we can compare this quantity to the human hair;

     Number of times  = [tex]\frac{6 x 10^{4} }{3 x 10^{-3} }[/tex]

     Number of times  = 2 x 10⁴⁺³

     Number of times  = 2 x 10⁷

So, a mile is 2 x 10⁷ times longer than the human hair.

Answer:

8

Step-by-step explanation:

if u divide 15 and 120 you will get 8

Answer:

one article costs 8.25$  15 articles cost 123.75

Step-by-step explanation:

set up a simple equation where a is one article

26a = 214.50

divide by 26 on both sides to isolate the variable

a=8.25

the cost of one article is 8.25

because you then want 15 articles, multiply 8.25 by 15 to get 123.75

The cost of 1 article is $8.25

The cost of 15 articles is $123.75

26 articles = 214.50

1 article= x

cross multiply

26x= 214.50

x= 214.50/26

x= 8.25

1 article= $8.25

15 articles= 15×8.25

= $123.75

Hence 1 article costs $8.25 and 15 articles cost $123.75

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Tanya has 26 quarters and 18 dimes.

Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,

To find the same we will use the concept of system of Linear equations,

Let's solve this problem step by step.

Let's assume Tanya has x quarters and y dimes.

The value of x quarters is 25x cents.

The value of y dimes is 10y cents.

According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:

25x + 10y = 830 ...........(Equation 1)

Tanya has 44 coins in total:

x + y = 44 ...........(Equation 2)

Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.

Multiplying Equation 2 by 25, we get:

25x + 25y = 1100 ...........(Equation 3)

Subtracting Equation 3 from Equation 1, we eliminate the x term:

25x + 10y - (25x + 25y) = 830 - 1100

-15y = -270

Dividing both sides by -15, we get:

y = (-270)/(-15) = 18

Substituting the value of y back into Equation 2, we can find x:

x + 18 = 44

x = 44 - 18 = 26

Therefore, Tanya has 26 quarters and 18 dimes.

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Answer:

a) 24.09 minutes

b) 0.8%

Step-by-step explanation:

This week a very large running race 5K occurred in Denver the times were normally distributed with a mean of 23.92 minutes and the standard deviation of 3.4 minutes what time in minutes is the cut off for the fastest 51.99%

Z score for 51.99% = 0.05

z = (x-μ)/σ,

where x is the raw score = ? minutes

μ is the population mean = 23.92 minutes

σ is the population standard deviation = 3.4 minutes

0.05 = x - 23.92/3.4

Cross Multiply

0.05 × 3.4= x - 23.92

0.17 = x - 23.92

0.17 + 23.92 = x

x = 24.09 minutes

What percent of runners took more than 32.128 minutes to complete the race

= z score

z = (x-μ)/σ,

where x is the raw score = 32.128 minutes

μ is the population mean = 23.92 minutes

σ is the population standard deviation = 3.4 minutes

z = 32.128 - 23.92/3.4

z = 2.41412

P-value from Z-Table:

P(x<32.128) = 0.99211

P(x>32.128) = 1 - P(x<32.128) = 0.0078867

Approximately =0.008

Converting to percentage = 0.008 × 100

= 0.8%

Using the normal distribution, it is found that:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that the mean and the standard deviation are, respectively, [tex]\mu = 23.92, \sigma = 3.4[/tex].

The cut off for the fastest 51.99% is the lowest 51.99% of times, that is, the 51.99th percentile, which is X when Z = 0.05.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.05 = \frac{X - 23.92}{3.4}[/tex]

[tex]X - 23.92 = 0.05(3.4)[/tex]

[tex]X = 24.09[/tex]

The cut off for the fastest 51.99% of times is of 24.09 minutes.

The proportion of runners who took more than 32.128 minutes to complete the race is 1 subtracted by the p-value of Z when X = 32.128, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.198 - 23.92}{3.4}[/tex]

[tex]Z = 2.43[/tex]

[tex]Z = 2.43[/tex] has a p-value of 0.9925.

1 - 0.9925 = 0.0025.

0.0025 = 0.25% of runners took more than 32.128 minutes to complete the race.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

-2,0

Step-by-step explanation:

Solve equation [2] for the variable  x  

 [2]    3x = 2y - 6

 [2]    x = 2y/3 - 2

Plug this in for variable  x  in equation [1]

  [1]    5•(2y/3-2) + 6y = -10

  [1]    28y/3 = 0

  [1]    28y = 0

Solve equation [1] for the variable  y  

  [1]    28y = 0  

  [1]    y = 0  

By now we know this much :

   x = 2y/3-2

   y = 0

Use the  y  value to solve for  x  

   x = (2/3)(-0/18062600)-2 = -2

Answer:there is $3.67 left.

Step-by-step explanation: good luck on your assignment! :)

Answer:

Uhm so anywayss lol 50 whole hours sis.

Step-by-step explanation:

since 1km x 50 is 50km you would do 1 hour x 50 and you get 50 hours of your life wasted running:))

50 hours.

We can use dimensional analysis!

[tex]\displaystyle{50km\over{1km\over hr}} = 50hr[/tex]

Please mark as Brainliest if you found this helpful.

Answer:

[tex]\frac{9}{28}[/tex]

Step-by-step explanation:

Given expression:

 Find the quotient;

                      =      [tex]\frac{2}{7}[/tex]  ÷ [tex]\frac{8}{9}[/tex]

Now, let us solve the problem;

          the division sign will invert  [tex]\frac{8}{9}[/tex];

                     =    [tex]\frac{2}{7}[/tex]  x [tex]\frac{9}{8}[/tex]

                               2 will go in 8

                   = [tex]\frac{1}{7}[/tex] x [tex]\frac{9}{4}[/tex]

                   = [tex]\frac{9}{28}[/tex]

Answer:

x-intercept(s):(5/2,0)

y-intercept(s): (0,5)

Step-by-step explanation: i think thats right idk

Answer:

the y intercept is (0,5) and the x intercept is ( 2.5,0)

Step-by-step explanation:

I know this because khan academy gave me the answer

its not 5/2 or 2/5 for the x intercept

Answer:

A

James King

Hope This Helped

Have A Great Day

Answer:

D. No Solution

Step-by-step explanation:

13(9−6x)=5−2x13(9-6x)=5-2x

Simplify 13⋅(9−6x)13⋅(9-6x).

Apply the distributive property.

13⋅9+13(−6x)=5−2x13⋅9+13(-6x)=5-2x

Cancel the common factor of 33

3+13(−6x)=5−2x3+13(-6x)=5-2x

Cancel the common factor of 33.

3−2x=5−2x3-2x=5-2x

Move all terms containing xx to the left side of the equation

Add 2x2x to both sides of the equation.

3−2x+2x=53-2x+2x=5

Combine the opposite terms in 3−2x+2x3-2x+2x.

3=53=5

Since 3≠53≠5, there are no solutions.

No solution

Answer:

false 3.12 is in between 3 and 4  though

Step-by-step explanation:

Answer:

If you're only counting positive numbers then there are 8,900 four-digit numbers that are not divisible by 100, but if you also include negative numbers then your answer would be 17,800.

Answer:

$12.500

Step-by-step explanation:

Answer:

For question 1, the correct answer is option C

For question 2, the correct answer is option B

Step-by-step explanation:

Problem A

A phenomenon is observed many times, under identical conditions. The proportion of times a particular event occurs is referred to as the probability of the event.

The correct option is C

* Use the instance of the tossing of a coin. The phenomenon that is observed here could be "the face of the coin that shows up after each toss". The number of times this is observed is = number of times the coin is tossed. The phrase "Under identical conditions" would mean that the coin is tossed in an identical manner e.g. 6feet high each time. The proportion of times a particular event (either HEAD showing up or TAIL showing up) occurs is the probability of that event's occurrence!

Problem B

The collection of all possible outcomes of a random phenomenon (in a given experiment) is called the distribution of the random phenomenon.

The correct option is B

Answer:

Step-by-step explanation:

There is no graph.

Answer:

A

Step-by-step explanation:

Answer:

It's A 30%

Step-by-step explanation: