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Natalija [7]
2 years ago
13

Find The Value Of X. The Diagram Is Not Drawn To Scale.

Mathematics
1 answer:
IgorLugansk [536]2 years ago
3 0

Answer:

evrone keeps asking me to find their x and then I have no time to find 'MY'X

CRIES

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Explain why the polynomial 100x^2 + 150x + 49 is not a perfect square.
Ad libitum [116K]
Answer: The correct answer is Choice C.

For this polynomial to be a perfect square, it would need to be:
(10x + 7)^2

This will ensure that the first terms and the last terms will be 100x^ and 49. However, if you use foil to multiply the factors, you will not get 150x for the center term. Choice C also states that 150x will not be the middle term.
4 0
3 years ago
Can Someone Help Me With This:
bija089 [108]
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8 0
2 years ago
Eight times the sum of a number and six
user100 [1]

Answer:

There is any answer as you choose.

Step-by-step explanation:

There is no equal to so you can choose any number.

3 0
3 years ago
Using the completing-the-square method, rewrite f(x) = x2 − 6x + 2 in vertex form.
Irina18 [472]

Answer:

f(x)=(x-3)^2-7

Step-by-step explanation:

Vertex form: f(x) = a(x-h)^2+k

x^2-6x+9+2=f(x)+9

(x-3)^2+2=f(x)+9

f(x)=(x-3)^2-7



8 0
3 years ago
How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as
dimulka [17.4K]

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

P(Same) > \frac{2}{3}

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is (\frac{364}{365})^n

i.e.

P(none) = (\frac{364}{365})^n

Solving further, we have that:

P(same) + P(none) = 1

P(same) + (\frac{364}{365})^n = 1

P(same) = 1 - (\frac{364}{365})^n

We're calculating the probability that P(Same) > \frac{2}{3}.

So, we have:

1 - (\frac{364}{365})^n > \frac{2}{3}

Collect Like Terms

1 - \frac{2}{3}> (\frac{364}{365})^n

\frac{3-2}{3}> (\frac{364}{365})^n

\frac{1}{3}> (\frac{364}{365})^n

3^{-1} > (\frac{364}{365})^n

Take natural logarithm (ln) of both sides

ln(3^{-1}) > ln((\frac{364}{365})^n)

-ln\ 3 > n\ ln\ (\frac{364}{365})

Apply laws of logarithm

-ln\ 3 > n\ (ln(364) - ln(365))

Multiply through by -1

ln\ 3 < n\ (ln(365) - ln(364))

Solve for n

\frac{ln\ 3}{(ln(365) - ln(364))} < n

Reorder

n > \frac{ln\ 3}{(ln(365) - ln(364))}

n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}

n> \frac{1.09861228867}{0.00274348594}

n > 400.443928891

n > 400 (approximated)

This implies that n = 401, 402, 403 .....

i.e

n \geq 401

So, at least 401 people has to be invited

5 0
3 years ago
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