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Rzqust [24]
3 years ago
9

A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets a

re $8.50. The total
cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.

Create and solve a system of linear equations to represent this situation. Then select the true statement.


А. The solution to this system is nonviable because it results in a fractional number of tickets.

B. The solution to this system is no viable because it results in a negative number of tickets.

C. The solution to this system is viable.

D. The solution to this system is nonviable because it results in a fractional amount of money.
Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

А. The solution to this system is nonviable because it results in a fractional number of tickets.

Step-by-step explanation:

Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.

Since the number of purchased ticket is 17, hence:

x + y + z = 17         (1)

The total cost of tickets is $141.50, hence:

10x + 7y + 8.5z = 141.5       (2)

they are purchasing 2 more senior tickets than adult tickets, therefore:

x = z + 2        (3)

Solving equation 1 2 and 3 simultaneously gives:

x =17/3, y = 23/3, z = 11/3

Therefore the solution to this system is nonviable because it results in a fractional number of tickets.

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A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products
tester [92]

Answer:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=22 represent the sample mean

\mu population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size  

ME = 2 represent the margin of error accepted

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (3)

We can use as estimator for the population deviation the sample deviation \hat \sigma = s

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.640, replacing into formula (3) we got:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

6 0
3 years ago
Need help plz and thnks
Serjik [45]

Answer: y=13

hope this helps!

3 0
2 years ago
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 730,
Alenkasestr [34]

Answer:

the number 1.46

Step-by-step explanation:

because 5×100×1.46=730

7 0
2 years ago
A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coup
aleksandr82 [10.1K]

Finding the equivalent multiplier, it is found that the function for the final price is:

P(x) = 0.68x.

-------------------------------------------

  • There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.
  • Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
  • The equivalent multiplier is:

0.85(0.8) = 0.68

  • Thus, the function for the final price is:

P(x) = 0.68x

A similar problem is given at brainly.com/question/16999193

8 0
2 years ago
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I need help finding the answers for all of these, I've been stuck on it for the last 30 minutes ​
Vinvika [58]

Answer:

Ray: A

Vertex:AC

Angle:ABX

Parallel lines:CFB FCB BCF

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Coplanar points:A F

Colliner points:C D E F

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7 0
2 years ago
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