The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the admission fees collected a total 970,000 dollars how many children and how many adults were admitted?

Answers

Answer 1

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults


Related Questions

please help! Here are the shopping times(in minuts) of nine shoppers at a local grocery store. complete the grouped frequency distribution for the data. in the distribution, the frequency of a class is the number of shopping times in that class.( Note that we are using a class width of 6.)​

Answers

Answer:

The shopping time (in minutes) of the nine shoppers are:

15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged  everything from least to greatest.)

We can see, that 3 shoppers shopped for 15-20 minutes.

And, 3 shoppers shopped for 21-26 minutes.

And finally, 3 shoppers shopped for 27-32 minutes.

So the answer for all 3 of the boxes is 3.

Let me know if this helps.

The 47th Annual PDK/Gallup Poll of the Public’s Attitudes toward the Public Schools, conducted in May 2015, sampled 4,500 adult Americans and found that 64% feel there is too much emphasis on standardized testing in the public schools in their community.
Using the quick method, the estimated margin of error for conclusions having 95% confidence about the entire adult population of adult Americans is ___%?

Answers

Answer:

1.3809%

Step-by-step explanation:

Given ;

Sample size, n = 4500

Phat = 64% = 0.64

The margin of error :

Zcritical * √[Phat(1 - Phat) / n]

At 95% confidence level:

Zcritical at 95% = 1.96

Margin of Error :

1.96 * √[0.64(0.36) / 4500]

1.96 * 0.0071554

= 0.0138099

= 0.0138099 * 100%

= 1.3809%

Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?

Answers

Answer:

Choice A.

[tex]y = - {2}^{x} + 4[/tex]

Step-by-step explanation:

Use graphing calculator

Answer:

Choice A.

Step-by-step explanation:

A composite figure is made up of one simple figure.
True or
False

Answers

Answer:

False

Step-by-step explanation:

A composite figure would be any irregular shapes and can be made up of multiple shapes

Harrison has 20 tasks on to do list he has completed 5%. How many tasks has he completed?

Answers

Answer:

1 task

Step-by-step explanation:

100%=20 tasks

5%=1 task

Many individuals over the age of 40 develop intolerance for milk and milk-based products. A dairy has developed a line of lactose-free products that are more tolerable to such individuals. To assess the potential market for these products, the dairy commissioned a market research study of individuals over 40 years old in its sales area. A random sample of 250 individuals showed that 86 of them suffer from milk intolerance. Based on the sample results, calculate a 90% confidence interval for the population proportion that suffers milk intolerance. Interpret this confidence interval. a) First, show that it is okay to use the 1-proportion z-interval. b) Calculate by hand a 90% confidence interval. c) Provide an interpretation of your confidence interval. d) If the level of confidence was 95% instead of 90%, would the resulting interval be narrower or wider

Answers

Answer:

a) To show that we can use the 1 proportion z-interval, we know that 250 ( size sample) is big enough to approximate the binomial distribution ( tolerance-intolerance) to a normal distribution.

b) See step by step explanation

CI 90 %  =  (  0,296 ; 0,392)

c) We can support that with 90 % of confidence we will find the random variable between this interval ( 0,296 ; 0,392)

d) the CI 95 % will be wider

Step-by-step explanation:

Sample Information:

Sample size n  =  250

number of people with milk intolerance  x = 86

p₁  =  86 / 250    p₁ = 0.344    and   q₁ =  1  - p₁   q₁ = 0,656

To calculate 90 % of Confidence Interval   α = 10%  α/2 = 5 %  

α/2 = 0,05     z(c) from z-table is:  z(c) =  1.6

Then:

CI 90 %  =  (  p₁  ±  z(c) * SE )

SE =  √ (p₁*q₁)/n   =  √ 0,225664/250

SE = 0,03

CI 90 %  =  (  0,344  ±  1,6* 0,03 )

CI 90 %  =  (  0,344 - 0,048 ;  0,344 + 0,048)

b) CI 90 %  =  (  0,296 ; 0,392)

a) To show that we can use the 1 proportion z-interval, we know that 250 ( size sample) is big enough to approximate the binomial distribution ( tolerance-intolerance) to a normal distribution.

c) We can support that with 90 % of confidence we will find the random variable between  this interval (  0,296 ; 0,392) .

d) CI 95 %      then significance level α = 5 %   α/2 = 2.5 %  

α/2  =  0,025      z(c) = 1.96   from z-table

SE = 0,03

And  as 1.96 > 1.6    the CI 95 % will be wider

CI 95% =  ( 0,344 ±  1.96*0,03 )

CI 95% =  (  0,344 ± 0,0588 )

CI 95% =  ( 0,2852 ; 0,4028 )

On his recent free-throw attempts, Lamar made 4 shots and missed 6 shots. Considering this
data, how many of his next 20 free-throw attempts would you expect Lamar to miss?

Answers

Answer:

12 free throw attempts

Step-by-step explanation:

First, find what percent of free throw attempts he misses:

6/10

= 0.6

So, he misses 60% of the time. Multiply 20 by 0.6 to find how many you would expect Lamar to miss out of 20 attempts:

20(0.6)

= 12

So, you would expect Lamar to miss 12 free throw attempts

Is -8 an irrational number?
yes or no

Answers

no bc it is not no no no no no no no

What is 24/9 in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

hope this helps :)

don't be afraid to ask questions

The answer to this question is 2 and 2/3

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles. The manufacturer tests 250 tires and finds the mean life for these tires to be 64,500 miles.What is the alternative hypothesis being tested in this example

Answers

Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

[tex]H_1: \mu > 60,000[/tex]

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:

[tex]H_0: \mu \leq 60,000[/tex]

At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:

[tex]H_1: \mu > 60,000[/tex]

44,587 plus what equals 65,000​

Answers

Let the missing number be x.

=> x + 44587 = 65000

=> x = 65000 - 44587

= 20413

Ans.= The missing number will be 20413.

Hope this answer helps you..

..

..

Select it as the BRAINLIEST..

-3x > 12
What is the value of x? Use substitution to support your answer.

Answers

Answer:

x < -4

Step-by-step explanation:

-3x > 12

-----   ----

-3      -3

12 ÷ -3 = -4

Which means:

x < -4

(The sign changes because the equation is divided by a negative number)

Hope this helped.

Answer:

x <-4

Step-by-step explanation:

-3x > 12

Divide each side by -3. remembering to flip the inequality

-3x/-3 > 12/-3

x <-4

The number of cubic feet of water in a curved container can be approximated by V=0.95h^2.9 find the amount of water in the container when h=8 feet round to the nearest tenth

Answer choices:
A. 0.9
B. 358.4
C. 395.1
D. 314.9

Answers

Answer:

C. 395.1

Step-by-step explanation:

Substitute the value for x:

[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]

6. If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3/7
B. 1/9
C. 3/4
D. 5/11

Answers

Are you sure that’s the correct question? All of these are repeating decimals except for C. 3/4

The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.

Answers

Answer:

7 and 10

Step-by-step explanation:

7 * 10 = 70

7 + 10 = 17

Answer:

10 and 7

Step-by-step explanation:

call them a and b, respectively

so a*b=70 -> b=70/a

a+b=17 ->a+70/a=17 ->a=10 b =7

Estimate the mean exam score for the 50 students in Prof. Burke's class.

Score

f

40 but less than 50

21



50 but less than 60

39



60 but less than 70

40



70 but less than 80

34



80 but less than 90

28



Total

162



Group of answer choices

65.56

63.78

64.89

62.34

Answers

The mean of the exam score is 65.56

The given exam data is as follows;

Possible Score range ----------- frequency (f) -------- score (x) -----------(fx)

40 - 50   -------------------------  21 ------------------- -----45 -------------- 945

50 - 60  --------------------------- 39------------------------55 ---------------2145

60 - 70 ----------------------------- 40---------------------- 65 ---------------- 2600

70 - 80 ------------------------------ 34 --------------------- 75 ----------------- 2550

80 - 90 ------------------------------ 28 --------------------- 85 ---------------- 2380

Note:[tex]score (x) = \frac{sum \ of \ the \ range }{2} , \ example \ \frac{40+49.99}{2} \approx 45[/tex]

The sum of the frequency (f) = 162

The sum of fx, ∑fx = 10620

The mean of the exam score:

[tex]\bar x = \frac{\Sigma fx }{\Sigma f} = \frac{10620}{162} = 65.56[/tex]

                                               

Therefore, the mean of the exam score is 65.56

To learn more about grouped mean calculation please visit: https://brainly.in/question/20735794

A basket contains 11/12 pound of strawberries. One serving strawberries is 1/4 pound. How many servings of strawberries are in the basket?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!

Answers

Answer:

3 2/3 servings

Step-by-step explanation:

Take the total amount of strawberries and divide by the number of strawberries in a serving.

11/12÷ 1/4

Copy dot flip

11/12 * 4/1

Rewriting

11/1 * 4/12

11/1 *1/3

11/3

Changing to a mixed number

3 2/3 servings

Weight of strawberries=11/12poundWeight of one serving=1/4pound

No of servings =Total strawberries weight/Per servings weight

[tex]\\ \sf\longmapsto \dfrac{11}{12}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{12}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11(4)}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{44}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{3}[/tex]

There are total 11/3servings

1 +32-10 divided by 2

Answers

Step-by-step explanation:

1+32-10 ÷21+32-533-528

Hope it is helpful to you

The value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The numerical expression is given below.

⇒ 1 + 32 – 10 ÷ 2

According to the PEMDAS rule, the computation wrapped in quotes or the parenthesis comes first in the sequence of operation.

This rule is used to solve the equation in a proper and correct manner.

PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.

⇒ 1 + 32 – (10 ÷ 2)

Simplify the numerical expression, then the expression will be

⇒ 1 + 32 – 5

⇒ 33 – 5

⇒ 28

Then the value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Please help almost done will give brainliest


x and y are related.
х
-2
-1
0
1
2
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Enter the answer that belongs in [?].

Answers

Answer:

-5

Step-by-step explanation:

y = -0.5x + [?]

The equation is put in slope intercept form

slope intercept form: y = mx + b

where m = slope and b = y intercept

We want to find the y intercept.

the y intercept is the value of y when x = 0

looking at the table when x = 0, y = -5 so the y intercept is -5.

In other words -5 belongs in [?]

Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a club

Answers

Answer:

The probability is 0.51

Step-by-step explanation:

We want to find the of choosing a red card for the second card drawn, given that the first card drawn without replacement, was a club.

Then we need to assume that the first card drawn was a club, so now we have a deck of 51 cards with:

13 hearts

13 diamonds

13 spades

12 clubs.

Now with this deck, the probability of drawing a red card is equal to the quotient between the number of red cards and the total number of cards in the deck.

We have 26 red cards (13 hearts  + 13 diamonds)

And there is a total of 51 cards in the deck, then the probability of drawing a red card now is:

P = 26/51 =0.51

The probability is 0.51

Determine the experimental probability of rolling a sum of 5 with 2 dice 50 times

Answers

Answer:

Step-by-step explanation:

If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.

Find the area of the plot of land shown below. ​

Answers

9514 1404 393

Answer:

  3070.06 square inches

Step-by-step explanation:

The area of the left triangle can be found using Heron's formula:

  s = semiperimeter = (53+71+58)/2 = 91

  area = √(s(s -53)(s -71)(s -58)) = √2282280 ≈ 1510.72

The area of the right triangle can be found using the trig formula ...

  area = 1/2ab·sin(C)

  area = 1/2(55)(71)sin(53°) ≈ 1559.34

Then the total area is ...

  1510.72 +1559.34 = 3070.06 . . . . . square inches

represent (-12)+(-8)+14 on a number line​

Answers

Answer:

-6

Step-by-step explanation:

(-12)+(-8)= -20

-20+14= -6

Suppose that a group of 10 people join a weight loss program for 3 months. Each person's weight is recorded at the beginning and at the end of the 3-month program. To test whether the weight loss program is effective, the data should be treated as:

Answers

To test the effectiveness of the weight loss program, a PAIRED SAMPLE test distribution is used.

The weight loss data collated for the program for both the beginning and end of the program period was obtained with one subject or person having two separate readings, these shows that the samples are NOT INDEPENDENT.

When performing a test which involves DEPENDENT or MATCHED samples, whereby means of two measurements taken from the SAME subject are involved, a PAIRED SAMPLE TEST DISTRIBUTION IS ADOPTED.

Therefore, the effectiveness of the weight loss programme will be accurately evaluated using a PAIRED SAMPLE TEST.

Learn more : https://brainly.com/question/17143411

A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42.

Required:
Conduct a hypothesis test use the 10% significance level.

Answers

Answer:

correct u did it

Step-by-step explanation:

told me

To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:

Step 1: State the null and alternative hypotheses:

Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.

Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.

Step 2: Determine the significance level:

In this case, the significance level is given as 10%, which means α = 0.10.

Step 3: Conduct the hypothesis test:

To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.

Step 4: Calculate the test statistic and p-value:

Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.

Step 5: Compare the p-value to the significance level:

If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.

Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.

To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.

To know more about  hypotenuse , here

https://brainly.com/question/2217700

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In a nationwide survey conducted by a reputable research​ center, a sample of adults in a certain country were asked whether they favor a plan to break up a small collection of​ megabanks, which controlled about ​% of the banking​ industry; ​% of those sampled responded in the affirmative. According to the​ report, "the margin of sampling error is ​/ percentage points with a ​% level of​ confidence." Find and interpret a ​% confidence interval for the percentage of all adults in the country who favor a plan to break up the megabanks.

Answers

Answer:

(42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

Step-by-step explanation:

The confidence interval is used to estimate the range of values for which the population value may lie at a certain level of confidence.

Given that :

Phat = 45%

Margin of error = ±3%

The confidence interval is defined as :

C. I = Phat ± margin of error

C. I = 45% ± 3%

Lower boundary :

45% - 3% = 42%

Upper boundary :

45% + 3% = 48%

C.I = (42% ; 48%)

We are 99% confident that the percentage of all adults in the country who favor a plan to break up the megabanks is between 42% and 48%

Which of the following numbers is divisible by 6?
3,246
9,787
8,752
5,967

Answers

Answer: 3246/6= 541

if u wanna know if a # is divisible by 6 or not, see if the # is divisible by 2 or 3. if it works for both, then it is divisible by 6

Complete the Similarity statement below only if the triangles are similar.

Answers

The answer is A because I took this test before and I got it right

HELLO PLEASE HELP??
which equation represents the circle described? 1. the radius is 2 units 2. the center of the circle is at (5,-6) (x+5)^2+ (y- 6)^2 =4
(x - 5)^2 + ( y + 6)^2 = 4
(x + 5)^2 + (y - 6)^2 =2
(x - 5)^2 + (y + 6)^2 =2

Answers

Answer:

(x-5)^2 + (y+6)^2 = 4

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-5)^2 + (y- -6)^2 = 2^2

(x-5)^2 + (y+6)^2 = 4

Find the formula for the geometric sequence 1, 5, 25, 125, .

Answers

The formula for a geometric sequence is an = a1 * r^n-1. For this problem, our formula can be an = 1 * 5^n-1. a1 is our first term, and r is the common ratio.

To check our formula, we can find the 5th term. a5 = 1 * 5^5-1. This gives us 625. If we look at our last term provided, the 4th term, 125 * 5 is 625.
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