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shutvik [7]
2 years ago
10

Pls help for number 6

Mathematics
1 answer:
Vlad1618 [11]2 years ago
7 0
A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y

b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )

c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.


Hope this helps

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A nature center charges $35.25
gregori [183]

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+  3525+625y=66050

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

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

4 0
2 years ago
Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
Tell whether the system has one solution, infinitely many solutions, or no solution.
nadya68 [22]
X=-7y+34
x+7y=32

To begin with make the two problems the same kind of problem. By adding 7y on both sides for the first problem.
x+7y=34
x+7y=32

So the correct answer would be no solution because it's the same problem and it can't equal to different answers.

8 0
2 years ago
A ray of light passing from air through an equilateral glass prism undergoes minimum
Mama L [17]

Answer: 45° and speed of light in prism 2×10⁸m/s

Step-by-step explanation:

The minimum deviation of the equilateral glass prism will form 60° angle.

So angle of incidence = 3/4×60

= 3 ×15

= 45°

Minimum deviation = δmin

= 30

After finding the value of μ using prism law

μ = 1.41

Speed of light will be 2×10⁸m/s

Must click thanks and mark brainliest

5 0
2 years ago
What is the median of the data set below? 57, 21, 11, 35, 43, 19​
Naily [24]

Answer:

28

Step-by-step explanation:

Arranged it in order and got 28 :)

8 0
2 years ago
Read 2 more answers
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