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mars1129 [50]
2 years ago
15

Please help write a system of equations to represent the scenario

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
4 0
Equations:
x + y = 37
5x + 3y = 161

25 adult tickets
12 student tickets

—————-

Adult tickets are x
Student tickets are y
Equations are for number of tickets sold and price of tickets sold/money earned

x + y = 37
5x + 3y = 161

x = 37 - y

5(37 - y) + 3y = 161
185 - 5y + 3y = 161
- 2y = -24
y = 12

x = 37 - y
x = 37 - 12 = 25

Please let me know if you have questions about this answer

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Answer:

Harry,Greta,William,Hiroshi

Step-by-step explanation:

Apex :)

6 0
3 years ago
How can you tell that a system of linear equations will have infinitely many solutions without computation?
Contact [7]

If you can manipulate the two equations so that they have exactly the same coefficients (e. g., 3x + 4y = 8 and 2x + 4y = 8), then you conclude that the two lines coincide (overlap), and that there are thus infinitely many solutions.

3 0
3 years ago
Which one of the following measurements represents the longest distance
strojnjashka [21]
It Would be A 1km because its 1000 meters
5 0
3 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
romanna [79]

Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

d)

Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

8 0
3 years ago
one-fourth of an inch on a map represents 150 Mi the distance on the map from Springfield to Oakwood is 3 and 1/2 in how many mi
kogti [31]
I’m not sure You’d have to ask in a calculator
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3 years ago
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