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photoshop1234 [79]
2 years ago
9

Please answer 14 15 16 18 answer asap i will give brainlist

Mathematics
1 answer:
Flauer [41]2 years ago
3 0

Answer:

1234567891011121314151617181920

Step-by-step explanation:

#staysafe!! #thanksforthe #free #points

Too easy!

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Solve for x. Assume that lines are diameters?
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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)

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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

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

So using this formula for our equation,

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

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


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3 years ago
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3 0
3 years ago
Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate:_________.
andreyandreev [35.5K]

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn​ girls:

n = 236​, \bar x = 30.3 ​hg, s = 7.2 hg. The confidence level is 95​%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

         \frac{\alpha}{2}=\frac{0.05}{2} = 0.025 or 2.5%

So, the value of Z_(_\frac{\alpha}{2} _) in the z table is given as 1.96 with a 2.5% level of significance.

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3 years ago
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