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Flura [38]
3 years ago
8

What is 535 divided by 30 with a remainder?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

17 with the remainder of 25

Step-by-step explanation:

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Consider a political discussion group consisting of 8 ​Democrats, 5 ​Republicans, and 5 Independents. Suppose that two group mem
Leya [2.2K]

Answer:

The probability of selecting two Independents is \frac{10}{153}.

Step-by-step explanation:

From the given information it is clear that:

​Democrats = 8

Republicans = 5

Independents = 5

Total number of member in the group is

8+5+5=18

We need to find the probability of selecting two Independents.

According to binomial distribution the total number of ways to select r items form n items is

^{n}C_r=\frac{n!}{r!(n-r)!}

Total number of ways to select 2 members from 18 members is

\text{Total possible outcomes}=^{18}C_2=\frac{18!}{2!(18-2)!}=153

Total number of ways to select 2 members from 5 Independents is

\text{Favorable outcomes}=^{5}C_2=\frac{5!}{2!(5-2)!}=10

The probability of selecting two Independents is

p=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}

p=\frac{10}{153}

Therefore the probability of selecting two Independents is \frac{10}{153}.

7 0
3 years ago
5x+9=17x-4x+81 what is the answer?
Tresset [83]
<span>5x+9=17x-4x+81 
-------------------------
Simplify and combine like terms
</span>5x+9=<span>17x+-4x+<span>81
</span></span>5x+9=<span><span>(<span>17x+-4x</span>)</span>+<span>(81<span>)
</span></span></span>5x+9=<span>13x+<span>81
</span></span><span>-----------------------------------
Subtract 13x from each side
</span><span><span>5x+9-</span>13x</span>=<span><span>13x+81-</span><span>13x
</span></span>-8x+9=<span>81
</span><span>-------------------------------------------
Subtract 9 from each side
</span><span><span>-8x+9-</span>9</span>=<span>81-9</span>
<span><span>-8x</span></span>=<span>72
</span><span>------------------------------------------------
And now divide each side by -8
-8x </span>÷ -8 = 72 ÷ -8
<span>x = -9

</span>
8 0
3 years ago
What (fog)(-3) is? Thank you for the help!
Verizon [17]
F(g(x))=7g(x)+4

f(g(-3)=7 V(-3+4) + 4= 7*1+4=7+4=11


the answer is 11
5 0
3 years ago
A square plot of land has an area of 484m².What is the perimeter​
harina [27]

Answer:

Perimeter: 88m

Step-by-step explanation:

Area of the square plot = (Side) X (Side)

And we are given the area is 484m²,

therefore, (Side) X (Side) = 484m²

or,

(Side)² = 484, taking square root on both the sides,

\sqrt{(Side)^{2} } = \sqrt{484}

Side = 22m.

And we know that, perimeter of a square is = 4 X (Side)

Therefore, Perimeter = 4 X 22 = 88m

:-)

3 0
2 years ago
Read 2 more answers
Find the area of the shaded part in the given diagram
enyata [817]

Answer:

30cm^2

Step-by-step explanation:

area of large rectangle = length x width

= 5 X 9 = 45 cm^2

area of small rectangle = length x width

= 3 X 5 = 15 cm ^2

45 - 15 = 30cm^2

5 0
2 years ago
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