1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lord [1]
2 years ago
5

The admission at the movies is $5 for children and $10 for adults. The total amount collected was

Mathematics
1 answer:
sesenic [268]2 years ago
4 0

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

                                    x = 400

Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

You might be interested in
12*10-50 i am in a hurry
andreev551 [17]

Answer: 70

Step-by-step explanation:

12*10 = 120-50 = 70

8 0
2 years ago
One study reports that 34​% of newly hired MBAs are confronted with unethical business practices during their first year of empl
MaRussiya [10]

Answer:

z=\frac{0.28 -0.34}{\sqrt{\frac{0.34(1-0.34)}{116}}}=-1.364  

p_v =2*P(Z  

The p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace is not significant different from 0.34.  

Step-by-step explanation:

1) Data given and notation

n=116 represent the random sample taken

X represent the number graduates from the previous year claim to have encountered unethical business practices in the workplace

\hat p=0.28 estimated proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace

p_o=0.34 is the value that we want to test

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is 0.34 or no.:  

Null hypothesis:p=0.34  

Alternative hypothesis:p \neq 0.34  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.28 -0.34}{\sqrt{\frac{0.34(1-0.34)}{116}}}=-1.364  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z  

The p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace is not significant different from 0.34.  

5 0
3 years ago
The average cost to own and operate a car in the United States for 2020 was $0.524 per mile.
sp2606 [1]

Answer:

y = 0.524m + b is the answerrrr

3 0
2 years ago
when looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x
almond37 [142]
f(x)= \frac{(x+3)(x-2)(x+5)}{(x-3)(x+2)(x-5)} is undefined when the denominator is 0. i.e. x - 3 = 0 or x + 2 = 0 or x - 5 = 0 i.e. x = 3 or x = -2 or x = 5.
Hence, Bobby is right.
3 0
2 years ago
What is the value of a2+c•(2+b)<br><br> when a =3 , b=6 and c=5
DerKrebs [107]

Answer:

46 is the answer

Step-by-step explanation:

Because:

a2 + c(2+b)

3(2) + 5(2+6)

6 + 5(8)

6 + 40

46

7 0
2 years ago
Read 2 more answers
Other questions:
  • Convert 657 milligrams to grams.<br><br> 0.657 g<br> 6.57 g<br> 657 g<br> 6,570 g
    5·2 answers
  • How do you find the task manager on windows 10?
    10·1 answer
  • Is this question dealing with surface area or volume?? <br><br> (Don’t mind the w•l•h)
    6·1 answer
  • In solving a rate of increase problem,the original value is always the?
    11·1 answer
  • Suppose you want to buy one pair of pants and several pairs of socks.
    10·1 answer
  • Help please <br> WILL MARK YOU BRAINLIEST!!!!!
    7·1 answer
  • HELPPPPPPP on this question.! I need to pass.
    6·1 answer
  • The notebook costs £ 1.10, the pen is £ 33 and the pencil £ 25 buys (Remy) 4 pencils, one pen, two sharpeners and some paint.​
    9·1 answer
  • If 10 miles=16km, about how many miles would be equal to 76 km?​
    7·2 answers
  • What is the surface area of a square pyramid that has a base of 12 cm. and the sides of the pyramid have a slant height of 9 cm.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!