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Feliz [49]
3 years ago
10

A bag contains blue marbles and red marbles, 107 in total. The number of blue marbles is 7 more than 4 times the number of red m

arbles. How many blue marbles are there?
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer: blue= 93.625

Step-by-step explanation:

Let the red ball be y

Four times of red is 4y

And blue is seven times of red which means 7(4y)

4y+7(4y)=107

Open the bracket

4y+28y=107

32y=107

y=107/32

Make y the subject of formula

y=3.34

Therefore,blue is

7(4(3.34))

Blue= 93.625

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A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
Mariana [72]

Answer:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

Step-by-step explanation:

The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.

From the above information, we know that,  

The population mean is

$ \mu = \$306,500 $

The population standard deviation is

\sigma = \$24,500

Suppose a random sample of 150 Americans is selected

n = 150

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The sample mean would be the same as the population mean  that is

$ \mu_{x}= \mu = \$306,500 $

The sample standard deviation is given by

\sigma_x = \frac{\sigma}{\sqrt{n} }

Where \sigma is the population standard deviation and n is the sample size.

\sigma_x = \frac{24,500}{\sqrt{150} }  \\\\\sigma_x = \$ 2,000 \\\\

Therefore, the required parameters are:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

5 0
3 years ago
What is the area of this polygon?​
mash [69]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the <em>p</em>-value as follows:

<em>p</em>-value = 0.6266

*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0
3 years ago
I really don't understand this I need help
Salsk061 [2.6K]
In looking at it I would guess it is asking which of the points is on the line? To answer that you would have to take each point an plug it into the equation and see if it is true.

3x - 7 = y

A(9,20)  
3(9) - 7 = 20
27 - 7 = 20
20 = 20 True - this point is on the line

B(5,0)
3(5) - 7 = 0
15 - 7 = 0
8 = 0 False - this point is not on the line

C(3,2)
3(3) - 7 = 2
9 - 7 = 2
2 = 2  True - this point is on the line

I hope this helps
7 0
3 years ago
What is the range of the relation below?
Ilya [14]

Answer:

b

Step-by-step explanation:

I had the same question

7 0
3 years ago
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