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Leto [7]
3 years ago
7

The New England Revolutions are having a charity soccer event for which tickets cost $18 per person. However, the ticket agency

adds a fixed fee to every order so a person who orders 5 tickets pays $93.
Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Let as consider, we need to find the fixed fee.

Given:

Cost of each ticket = $18

Number of tickets = 5

Total cost = $93

To find:

The fixed fee.

Solution:

Let x be the fixed fee..

Cost of 1 ticket = $18

Cost of 5 ticket = $(5 × 18)

                         = $90

Total cost 5 tickets = Fixed fee + Cost of 5 tickets

93=x+90

93-90=x

3=x

Therefore, the fixed fee is $3.

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
What's the best quote your heard of?
Mars2501 [29]

Step-by-step explanation:

꧁§༺⚔A real friend is one who walks in when the rest of the world walks out.” ⚔༻§꧂

8 0
2 years ago
List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds t
loris [4]
7 + 3.(2 - 3x) = 67
3 brackets are distributed

7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
8 0
3 years ago
Line a is purpendicular to line b. if the slope of line a is 7 than what is the slope of line b
MA_775_DIABLO [31]

The slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.

According to the question,

Line 'a' is perpendicular to the line 'b'. If the slope of the line 'a' is 7.

The condition of slopes if two lines are perpendicular m₁ m₂ = -1

(7)(m₂) = -1

   m₂ = -1/7

Hence, the slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.  

Learn more about perpendicular lines here

brainly.com/question/2505127

#SPJ4

8 0
2 years ago
Two different numbers are selected simultaneously and at random from the set {1,2,3,4,5,6,7,8,9,10}. What is the probability tha
ehidna [41]

The probability of getting positive difference between the numbers 3 or greater between 1,2,3,4,5,6,7,8,9,10 if two numbers are selected is 28/45.

Given Numbers:{ 1,2,3,4,5,6,7,8,9,10}

We have to find the probability that the positive difference between the numbers selected is 3 or greater.

Probability is the likelihood of happening an event among all the events possible.

Total number of combinations when two numbers are selected from 10 numbers is 10 C 2=10!/2!(10-2)!

=10*9*8!/2*1(8!)

=10*9/2

=45 combinations

Combinations of numbers whose difference will be 3 or more are: (10,7),(10,6),(10,5),(10,4)(10,3)(10,2)(10,1)(9,6)(9,5)(9,4)(9,3)(9,2)(9,1)(8,5)(8,4)(8,3)(8,2)(8,1)(7,4)(7,3)(7,2)(7,1)(6,3)(6,2)(6,1)(5,2)(5,1)(4,1)

Total numbers =28

Probability=numbers/total combinations

=28/45

Hence the probability that two numbers selected gives difference of 3 or more is 28/45.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0
2 years ago
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