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alex41 [277]
3 years ago
9

Exactly 512 tickets were sold for the talent show at Cypress Middle School. The number of student tickets sold was three times t

he number of adult tickets sold. How many adult tickets were sold? Write the system of equations:​
Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

Answer:

128 adult tickets were sold.

Step-by-step explanation:

We can form an equation using the information we have, let x be the number of adult tickets sold:

3x + x = 512

4x = 512

x = 128

x is the number of adult tickets sold as the number of student tickets was three times more so the 3x was the student tickets.

So 128 adult tickets were sold.

ioda3 years ago
6 0

Answer:

384 student tickets and 128 adult tickets

Step-by-step explanation:

S for student and A for adult

s+a=512

s=3a

3a+a=512

4a=512

a=128

s=384

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3 years ago
a study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. th
e-lub [12.9K]

Answer:

d. No because n·(1 - \hat p) = 8.96 is less than 10

Step-by-step explanation:

Question options;

a. Yes because the sample sizes of both groups are greater than 5

b. Yes, because in both cases n·\hat p > 10

c. Yes, because we know that the population is evenly distributed

d. No, because the n·(1 - \hat p) is less than 10

Explanation;

The given data are;

The number of men in the sample of men, n₁ = 41

The proportion of men who dislike anchovies, \hat p_1 = 0.67

The number of women in the sample of women, n₂ = 56

The proportion of men who dislike anchovies, \hat p_2 = 0.84

The assumptions for an analysis of the difference between means using a T-test are;

1) The data should be from a random sample of the population

2) The variables should be approximately normal (n·\hat p ≥ 10, and n·(1 - \hat p) ≥ 10)

3) The scale of the data is a continuous ordinance scale

4) The sample size should be large

5) The sample standard deviations should be approximately equal

From the requirement for normality, we have;

For the sample of men, n₁·\hat p₁  = 41 × 0.67 = 24.47 > 10

n₁·(1 - \hat p₁) = 41 × (1 - 0.67) = 13.53 > 10

For the sample of women, n₂·\hat p₂  = 56 × 0.84 = 47.04 > 10

n₂·(1 - \hat p₂) = 56 × (1 - 0.84) = 8.96 < 10

Therefore, the for n₂·(1 - \hat p₂), the sample does not meet the requirement for normality

The correct option is d. No because n₂·(1 - \hat p₂) = 8.96 is less than 10

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Answer:

Step-by-step explanation:

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Which equation has a slope of -3/4 and goes through the point (-3,4)?​
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Answer:

Step-by-step explanation:

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