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Sergeu [11.5K]
3 years ago
11

OBTAINING ONE HEAD ONLY WHEN A DIE IS ROLLED AND 2 COINS ARE TOSSED. Probability

Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

⅓

Step-by-step explanation:

n(s) 1 die & 2 coins = 6×4 = 24

n (event) 1 head = 6 (by die) +2( by coins)

= 8

so, probability P = 8/24 = ⅓

You might be interested in
A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
What is one of the solutions to the following systems of equations? Y squared plus X squared equals 65 and Y plus X equals seven
alukav5142 [94]

Answer:

Step-by-step explanation:

y^2 + x^2 = 65

y + x = 7......x = 7 - y

y^2 + (7 - y)^2 = 65

y^2 + (7 - y)(7 - y) = 65

y^2 + 49 - 7y - 7y + y^2 = 65

2y^2 - 14y + 49 = 65

2y^2 - 14y + 49 - 65 = 0

2y^2 - 14y - 16 = 0

2(y^2 - 7y - 8) = 0

2(y + 1)(y - 8) = 0

y + 1 = 0        y - 8 = 0

y = -1             y = 8

solution :

y = -1...........y + x = 7.....-1 + x = 7......x = 7 + 1......x = 8........(8,-1)

y = 8........y + x = 7.....8 + x = 7......x = 7 - 8........x = -1........(-1,8)

7 0
3 years ago
Consider the enlargement of the rectangle.
IrinaK [193]

where are the options???

5 0
3 years ago
Read 2 more answers
Please help!!! Seriously need it ASAP. Perform the indicted operations: 4{8.2+3.7(4.4×8.8 -18.86)}
lions [1.4K]

4{8.2+3.7(4.4×8.8 -18.86)}=

4(8.2+3.7(38.72-18.86))=

4(8.2+(3.7)(19.86))=

4(8.2+73.482)=

(4)(81.682)=

326.728

7 0
2 years ago
5. A car wash uses 50 gallons of water every
ira [324]

Answer:

1.25 gallons per second

Step-by-step explanation:

To figure this out divide 50 by 40

I don't know how to explain this further, hope this is good enough.

- Que

7 0
3 years ago
Read 2 more answers
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