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
vaieri [72.5K]
3 years ago
9

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on t

hat day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420​
Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

A) 360 adults

Step-by-step explanation:

c=quantity of child

a=quantity of adult

9c+12.5a=5220

a+c=440    then c=440-a

substitute for c

9(440-a)+12.5a=5220

3960-9a+12.5a=5220

reduce

3.5a=1260

a=360

You might be interested in
Talia attended a 555-day math camp that lasted \dfrac56
Vaselesa [24]

Complete Question

Talia attended a 5 -day math camp that lasted 5/6 of an hour each day. How many hours did Talia spend at the math camp?

Answer:

4 1/6 hours

Step-by-step explanation:

1 day = 5/6 hour

5 days = x

Cross Multiply

x = 5/6 × 5 days

x = 25/6 hours

x = 4 1/6 hours

Therefore, Talia spent 4 1/6 hours at camp.

6 0
2 years ago
Write two word phrases for t+23
bixtya [17]
For a sum of a number t and 23
t plus 23

8 0
3 years ago
In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
Solve the following system of equations using the SUBSTITUTION method. Show all your work! x = 2y + 1 x + y = 4
Alexxandr [17]

Answer:

Step-by-step explanation:

4x+y=14

x-2y=8

then;

x=8-2y

substitute;

4(8-2y)+8-2y=14

32-8y+8-2y=14

40-10y=14

26=10y

y=2.6 , work out 4x+2.6=14 to get x

3 0
2 years ago
What is the image point of (-7,1) after a translation left 4 units and down 5 units?
irina1246 [14]
The final point should end up at (-11,-4)
7 0
3 years ago
Other questions:
  • Someone please help me out
    12·1 answer
  • oindexter has a credit card that uses the average daily balance method. For the first 15 days of a 31-day billing cycle, his bal
    9·2 answers
  • Which are solutions of x2=-11+4?
    10·2 answers
  • 1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
    9·1 answer
  • A=1/2(b-c) make the subject b
    7·1 answer
  • Find the Square of 8^2
    11·2 answers
  • An automobile manufacturer wants to assess a new style of visual display to see if it changes the amount of reported eye-strain
    14·1 answer
  • Isaac planted 12 pepper plants. he planted twice as many green pepper plants as red pepper plants. how many green pepper plants
    12·1 answer
  • How do you work out the percentage increase
    5·1 answer
  • Answer needed urgently
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!