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Flura [38]
3 years ago
7

A bag contains 8 blue coins and 6 red coins. A coin is removed at random and replaced. This happens three times. What is the pro

bability that all three coins will be red?
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

Each time you draw, there is a 57.143% chance it will be blue, and a 42.857% chance it will be red.

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You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere
attashe74 [19]
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
                I  = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest. 

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x. 

The linear equation that would represent the given scenario is,
        x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,
 
       0.035x + 319 - 0.055x = 283

Combining like terms,
           -0.02x = -36
Dividing by -0.02,   
               x = 1800
             $5800 - x = $5800 - $1800 = y
                   y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.   
4 0
3 years ago
What is the sum of <br> 4 1/2 + 1 3/5 in simplest form ?
olga2289 [7]

Answer:

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /  10

 

Decimal Form:

6.1  

Mixed Number Form:

6 1/10  

6 0
3 years ago
What is the equivalent to 4(4a+5)
____ [38]

Use the distributive property.

4(4a + 5) = 4 * 4a + 4 * 5 = 16a + 20

Answer: 16a + 20

3 0
3 years ago
A 6.1 foot tall camper is standing on a 98 foot cliff looking down at his tent. The tent is 65 feet from the base of the
Alex_Xolod [135]

Answer:

58.0 degrees

Step-by-step explanation:

Let the angle of depression be x.

tan x=104.1/65

x=58.0 degrees

7 0
2 years ago
Read 2 more answers
how many terms are in this expression: 4n+2n+9-5 terms are parts between the addition or subtraction sign
Veseljchak [2.6K]
There are 4 terms. Those terms are 4n, 2n, 9, and 5.
5 0
3 years ago
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