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2 years ago

What’s the vertex of this equation?

Mathematics

1 answer:

statuscvo [17]2 years ago

3 0

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Do you see the h and k in your equation?

-h = -(-2) = 2

We see that k = -4.

Our vertex is (2, -4).

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The ratio of pens to pencils in Mrs. Bosworth's desk is 4:1. What does this mean?

anzhelika [568]

If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils

4 0

2 years ago

What is the diameter of if the circumference of 14

Serggg [28]

Answer:

The diameter would be 4.456338407...

Step-by-step explanation:

This is because if the formula for circumference is C= D(pi) , to find the diameter it's the opposite. D= C/pi

3 0

3 years ago

Can someone help me with the questions in the picture?

OverLord2011 [107]

Answer:

$y = 8$

Step-by-step explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, $y - y_1 = m(x - x_1)$ and also in slope-intercept form, $y = mx + b$ .

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in $y - y_1 = m(x - x_1)$ .

Thus:

$y - 8 = 0(x - (-2))$

$y - 8 = 0$

Rewrite in slope-intercept form

$y - 8 + 8 = 0 + 8$ (addition property of equality)

$y = 8$

8 0

2 years ago

g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.

lana [24]

Answer:

We can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got:

$z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456$

$z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279$

And using a calculator, excel or the normal standard table and we have that:

$P(0.456$

Step-by-step explanation:

We assume this previous info: It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(20,9.31)$