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
sashaice [31]
3 years ago
8

Mrs. Becker is selling tickets to an art exhibit, but she lost the receipts. She knows that she has sold at least 20 tickets. Th

e adult tickets (x) cost $14 and the children’s tickets (y) cost $12. If she knows she has sold no more than $420 worth of tickets, write a system of inequalities to model the ticket sales.
Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

9514 1404 393

Answer:

  • x+y≥20
  • 14x+12y≤420

Step-by-step explanation:

Variables are defined in the problem statement.

  x + y ≥ 20 . . . . . . . . at least 20 tickets were sold

  14x +12y ≤ 420 . . . . sales were at most $420

You might be interested in
Which is the volume of this cone (use 3.14 for , and round to the nearest hundredth)?
tensa zangetsu [6.8K]

Answer:

B. 19.17 cubic centimeters

3 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEEEEEEEE
ololo11 [35]

Answer:

Step-by-step explanation:

step 2 is incorrect.

step 2: -40-75+100+200

step 3:  -115+300

step 4 : 185

4 0
3 years ago
What is the surface area of the cylinder with height 7yds and radius 6yd? Round your answer to the nearest thousandth
Nitella [24]
I think that’s it’s shark seed 6yd
3 0
3 years ago
In the figure below, angle X is 35 degrees. What is the measure of angle Z?
ira [324]

Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

3 0
3 years ago
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a
creativ13 [48]

Answer:

A. P(x>91.71)=0.10, so the minimum grade is 91.71

B. P(x<72.24)=0.025 so the maximum grade could be 72.24

C. By rule of three, 200 students took the course

Step-by-step explanation:

The problem says that the grades are normally distributed with mean 84 and STD 6, and we are asked some probabilities. We can´t find those probabilities directly only knowing the mean and STD (In that distribution), At first we need to transfer our problem to a Standard Normal Distribution and there is where we find those probabilities. We can do this by a process called "normalize".

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

Where x,a are data from the original normal distribution, μ is the mean, σ is the STD and z,b are data in the Standard Normal Distribution.

There´s almost no tools to calculate probabilities in other normal distributions. My favorite tool to find probabilities in a Standard Normal Distribution is a chart (attached to this answer) that works like this:

P(x<c=a.bd)=(a.b , d)

Where "a.b" are the whole part and the first decimal of "c" and "d" the second decimal of "c", (a.b,d) are the coordinates of the result in the table, we will be using this to answer these questions. Notice the table only works with the probability under a value (P(z>b) is not directly shown by the chart)

A. We are asked for the minimum value needed to make an "A", in other words, which value "a" give us the following:

P(x>a)=0.10

Knowing that 10% of the students are above that grade "a"

What we are doing to solve it, as I said before, is to transfer information from a Standard Normal Distribution to the distribution we are talking about. We are going to look for a value "b" that gives us 0.10, and then we "normalize backwards".

P(x>b)=0.10

Thus the chart only works with probabilities UNDER a value, we need to use this property of probabilities to help us out:

P(x>b)=1 - P(x<b)=0.10

P(x<b)=0.9

And now, we are able to look "b" in the chart.

P(x<1.28)=0.8997

If we take b=1.285

P(x<1.285)≈0.9

Then

P(x>1.285)≈0.1

Now that we know the value that works in the Standard Normal Distribution, we "normalize backwards" as follows:

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

If we take b=(a+μ)/σ, then a=σb+μ.

a=6(1.285)+84

a=91.71

And because P(x<a)=P(z<b), we have P(x>a)=P(z>b), and our answer will be 91.71 because:

P(x>91.71) = 0.1

B. We use the same trick looking for a value in the Standard Normal Distribution that gives us the probability that we want and then we "normalize backwards"

The maximum score among the students who failed, would be the value that fills:

P(x<a)=0.025

because those who failed were the 2.5% and they were under the grade "a".

We look for a value that gives us:

P(z<b)=0.025 (in the Standard Normal Distribution)

P(z<-1.96)=0.025

And now, we do the same as before

a=bσ+μ

a=6(-1.96)+84

a=72.24

So, we conclude that the maximum grade is 72.24 because

P(x<72.24)=0.025

C. if 5 students did not pass the course, then (Total)2.5%=5

So we have:

2.5%⇒5

100%⇒?

?=5*100/2.5

?=200

There were 200 students taking that course

6 0
3 years ago
Other questions:
  • Mia is playing a game. Her score in the game is the sum of the five cards shown below.
    7·2 answers
  • There are 500 children in elementary.Today 25 children are away.what percentage are present?
    13·1 answer
  • Does anyone know how to do graphing
    6·1 answer
  • What are the ordered pairs of f(x)=3-2x
    11·2 answers
  • What is the solution to: √49 - √169 + √144 + 82
    9·1 answer
  • I’ll love u forever if u help with this ASAP PLZZZZ what are at least 3 non examples of speed and also for velocity plzzzzz
    15·1 answer
  • What is the value of X? (explain your answer) <br><br>A- 54<br><br>B- 75<br><br>C-78<br><br>D-102​
    10·1 answer
  • Please help me. i will give brainliest.
    9·2 answers
  • The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in2. What is
    11·1 answer
  • Zach can run 7 1/2 miles in 1 1/2 hours find the average speed in miles per hour
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!