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goblinko [34]
3 years ago
13

The percentages of voters classed as Liberals in three different election districts are divided as follows: in the first distric

t, 21 percent; in the second district, 45 percent; and in the third district, 75 percent. If a district is selected at random and a voter is selected at random from that district, what is the probability that she will be a Liberal
Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer:

47%

Step-by-step explanation:

Chance of liberal in first district = 21%

Chance of liberal in second district = 45%

Chance of liberal in third district = 75%

Assuming that all districts are equally likely to be selected, the probability that a randomly selected voter is a liberal is given by the average of the probability of a voter being a liberal in each district:

P = \frac{0.21+0.45+0.75}{3}= 47\%

The probability that she will be a Liberal is 47%.

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P(x) is a polynomial with integer coefficients and p(-3) = 0.
natka813 [3]

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

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3 years ago
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noname [10]
The answer is around 29
8 0
3 years ago
Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y
Monica [59]

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

k =  \frac{1}{4}

So the formula for the variation is

y =  \frac{1}{4} x

when

x = 8

y =  \frac{1}{4}  \times 8

we have the final answer as

<h3>y = 2</h3>

Hope this helps you

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3 years ago
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Answer:

cool

Step-by-step explanation:

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3 years ago
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A rectangular carpet measures 12 m by 5 m.
Zepler [3.9K]

Answer:

\frac{1}{15}

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}.

The fraction of the carpet that is covered by the rug is \frac{1}{15}.

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