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Sergeu [11.5K]
3 years ago
5

please help! write and simplify an expression for the area of the triangle. the directions are on the file. thank youuu

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer:

Look below:)

Step-by-step explanation:

Area of triangle formula: (bh)/2

Where b=base

And h=height

Lets substitute b as 6x^4 and h as x^2

(6x^4*x^2)=6x^8

6x^8/2=3x^8

The expression : (6x^4*x^2)/2

Name: Quartic

Answer:3x^8

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A cash register contains 5 $10 bills and 3 $5 bills. you randomly pick 4 bills.
kobusy [5.1K]

a. The probability of picking exactly two $10 bills is \frac{3}{7}

b. The probability of picking at most one $5 bill is \frac{1}{2}

<em><u>Explanation</u></em>

Number of $10 bills = 5

and number of $5 bills = 3

Total number of bills= 5+3 = 8. You need to randomly pick 4 bills, so the total possible outcome = ^8C^4

<u>a. </u>

For getting exactly two $10 bills, you need to pick two $10 bills and two $5 bills. That means we will pick two $10 bill from 5 bills and two $5 bills from 3 bills.

So, the probability =\frac{(^5C^2)*(^3C^2)}{^8C^4} =\frac{10*3}{70}=\frac{30}{70}=\frac{3}{7}

<u>b.</u>

For getting at most one $5 bill, you need to pick <u>either zero or one</u> $5 bill.

If you pick <em>zero</em>  $5 bill, that means there are  <em>four</em><em>  </em>$10 bills

and if you pick <em>one  </em>$5 bill, that means there are <em>three  </em>$10 bills.

So, the probability =\frac{(^3C^0*^5C^4)+(^3C^1*^5C^3)}{^8C^4}=\frac{(1*5)+(3*10)}{70}=\frac{5+30}{70}=\frac{35}{70}=\frac{1}{2}


3 0
4 years ago
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Ap
Oksana_A [137]
Given:
Hyren Airlines - 106.133
Xyx Motors - 97.701
Ergar Appliances - 101.294
Par Value - $1,000 a piece

Hyren Airlines:      1,000 * 106.133 = 106,133
Xyx Motors:            1,000 * 97.701 =   97,701
Ergar Appliances: 1,000 * 101.294 = <u>101,294</u>
Total                                                    305,128

305,128 / 100 = 3,051.28

George will spend $3,051.28 to purchase one bond from each corporation.

4 0
4 years ago
What is the probability of rolling a sum of 5 if two regular 6-sided number cubes are rolled?
creativ13 [48]
1/9 because 5 shows up 4 times out of 36 times so that would be 4/36 and you would simplify it to get 1/9
7 0
3 years ago
The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?
lawyer [7]

Answer:

4 sweaters

Step-by-step explanation:

If the ratio is 7:2, then 14//7 = 2

2x2=4

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3 years ago
What is the value of x in the equation
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Well I solved it and This is what i got

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3 years ago
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