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ch4aika
1 month ago
14

Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different ar

rangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP to get Brainliest!
Mathematics
1 answer:
Inessa [12.5K]1 month ago
7 0

First, we should create a visual representation. I can do this by making a list, similar to a data set. Let b signify blue and r signify red.

(b, b, b, r, r, r, r)

Keep in mind, this is not necessarily the set order.

We can now adjust the order.

1. The first car is blue.

This part is already set!

2. The last car is blue.

We can swap the second blue car with the last red car.

(b, r, b, r, r, r, b)

3. The middle car is blue.

We can exchange the middle red car for the third blue car.

(b, r, r, b, r, r, b)

This setup adheres to the guidelines. It is one valid arrangement!

5. But we still have more to determine! We need to assess whether any additional arrangements are possible.

There are none. This is confirmed because there are only three blue cars, and three designated spots for these cars must occupy.

As a result, we cannot swap any colors without breaching the guidelines.

Final Answer: There is one possible arrangement of the lineup:

(b, r, r, b, r, r, b)

If this was helpful, please let me know or feel free to ask questions. A rating would be greatly appreciated if you have time!

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Chelsea has 11 times as many art brushes as Monique. If they have 60 art brushes altogether, how many brushes does Chelsea have?
zzz [12365]
Let Monique have m brushes.
Chelsea then has <span>11m brushes because she has 11 times as many as Monique. Together they total 60 brushes, so we form the equation:

                                              m+11m=60.

Thus 12m=60, and dividing both sides by 12 gives m=5.

Chelsea has 11m=11*5=55 brushes.

Answer: 55</span>
7 0
1 month ago
Kevin wanted to go snowboarding for his vacation. Explain how he could make his decision regarding whether to go to Resort A or
lawyer [12517]

Response:

Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.

Thanks:) I just completed it edg

Detailed explanation:

5 0
1 month ago
Read 2 more answers
A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and th
Inessa [12570]

Answer:

a) Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}  

b) z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679  

c) z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58    

d) In this scenario, we notice that \hat p_1 > \hat p_2 thus the conclusion for this case would indicate

Step-by-step explanation:

Information provided

X_{1}=688 denote the number of men possessing smartphones  

X_{2}=671 signify the number of women possessing smartphones

n_{1}=989 group of men sampled

n_{2}=1012 group of women sampled

p_{1}=\frac{688}{989}=0.696 symbolize the proportion of men with smartphones

p_{2}=\frac{671}{1012}=0.663 symbolize the proportion of women with smartphones

\hat p denote the pooled estimate of p

z would denote the test statistic

p_v signify the value

Part a

The objective is to evaluate if there is a disparity in smartphone ownership between men and women; the hypothesis statements would be:  

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

Part b

The statistic relevant to this case is expressed as:

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679  

Part c

By substituting the provided information, we find:

z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58    

Part d

In this instance, it is evident that \hat p_1 > \hat p_2 thus the conclusion for this case would seem

4 0
28 days ago
In a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979,
babunello [11817]
We cannot infer that the proportion of wives married less than two years intending to have children is significantly greater than that of those married for five years.
4 0
12 days ago
Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagra
tester [12383]

Answer:

Step-by-step explanation:

Characteristics of a bar graph include:

1). There must be uniform spacing between the bars or columns.

2). Each bar or column should have a consistent width.

3). All bars must share the same baseline.

4). The height of each bar corresponds to the data value.

Based on these criteria,

- Spacing between London-Paris and Rome-Oslo isn’t uniform.

- Width of the Munich bar differs from the others.

8 0
1 month ago
Read 2 more answers
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