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MAXImum [283]
3 years ago
11

There were 124 people at a concert. Admission was $5 each for adults and $3 each for children. A total of $444 was collected fro

m admissions. How many adults and how many children attended?
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0

Answer:

The answer is 36 adults and 88 children.

Step-by-step explanation:

The two equations are:

x+y=124 and 5x+3y=444

Using substitution method:

5x+3(124+x)=444

5x+372-3x=444

2x=72

x=36

5(36)+3y=444

180+3y=444

3y=264

y=88

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Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor's. A sample of 40 bab
Readme [11.4K]

Answer:

Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.

Step-by-step explanation:

We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.

Z-score can be calculated using the formula:

z=\frac{X-Y}{\sqrt{\frac{s(x)}{N(x)}+\frac{s(y)}{N(y)}}} where

  • X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
  • Y is the mean weight gain for in the first three months after birth for babies using the competitor products
  • s(x) is the population standard deviation of the sample for Gibbs brand
  • s(y) is the population standard deviation of the sample for competitor brand
  • N(x) is the sample size for babies used Gibbs product
  • N(y) is the sample size for babies used competitor product.

putting the numbers in the formula:

z=\frac{7.6-8.1}{\sqrt{\frac{2.3}{40}+\frac{2.9}{55}}} ≈ -1.51

and z-table gives that P(z<-1.51) = 0.0655

To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.

For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.  

5 0
4 years ago
Please help me on this!
trapecia [35]

Answer:

1) Jina is not a member of the Music Club.

2) Three students are a member of the Music Club but not the Math Club.

3 Mary and Dan are in all three clubs.

Step-by-step explanation:

Look at the diagram and notice how each club has its own circle. If a student is in that circle, then they are a member of that club. When circles overlap, that overlap space means that a student is a member of two or all three clubs, depending on how many and which circles overlap.

1) Looking at Jina's location on the diagram, she is in the overlap between the math and chess club circles. However, her position does NOT overlap with the Music Club circle, therefore she is not a member of the Music Club.

2) Let's look at the students of the Music Club circle and its overlaps with the Chess Club circle, but NOT the overlaps with the Math Club circle. We can see that Lucy, Josh, and Juan are in these locations, therefore there are three students who are members of the Music Club but not the Math Club.

3) To find which students are in all three clubs, you would look at the middle of the diagram where all three circles overlap. The students listed in this location are Mary and Dan, therefore they are in all three clubs.

8 0
3 years ago
A boy walked to the store with 3 apples. He dropped two of them. How many does he have left. PLEASE HELP
Illusion [34]

Answer:

Doesnt he still have 3? All he did was drop 2

Step-by-step explanation:

7 0
3 years ago
A 3<br> B 5<br> C 6<br> D 8<br> What is the constant of probability (c) on the equation b=ca
Musya8 [376]
The constant probability is 5.
5 0
3 years ago
Step 5: to isolate x, multiply both sides by:
erastovalidia [21]

To isolate x , multiply both the sides by   ( <u>5/23</u> )

<h3>What is an Equation ?</h3>

An equation is formed when two algebraic expressions are equated using an equal sign.

The given equation is

(3/5)(x-10) = 18-4x-1

(3/5)x - 6 = 18-4x-1

(3/5)x - 6 = 17-4x

(3/5)x = 23 -4x

(23/5)x = 23

Step 5 says To isolate x , multiply both the sides by <u>(5/23)</u>

x = 5

To know more about Equation

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
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