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3 years ago

Pls help its timed!!

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

I believe it’s A
Writing random things so it lets me send this

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A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?

KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

$y=(x-3)(x-9)$

Now let us simplify it:

$y=x^{2}-12x+27$

Let us find the vertex now,

For a quadratic equation of the form:

$y=ax^{2}+bx+c$

For x coordinate , we have the formula,

$x=\frac{-b}{2a}$

So using this formula for our equation,

$x=\frac{-(-12)}{2(1)}$

So x = 6

Answer: The x-coordinate of the parabola's vertex is 6.

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3 years ago

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What is 39,265 to the nearest ten thousand

Kamila [148]

Answer:

40,000 is 39,265 rounded to the nearest ten thousands

Step-by-step explanation:

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3 years ago

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

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3 years ago

a first class postage stamp was $0.02 in 1885. the same first class postage stamp in 2006 was $0.39. what is the percent of incr

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The price was increased by $0.37 just subtract

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Evaluate the expression for the given value of the variable -4b-8 + -1 b^2 + 2b^3 ; b= -2

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-4b-8 + -1b^2 +2b^3
-4(-2)-8+-1(-2)^2+2(-2)^3
8-8+2^2-4^3
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Pls help its timed!!​

Pls help its timed!!