All categories

3 years ago

Write the coordinate point for the vertex of this parabola x^2=12y

Mathematics

1 answer:

sergeinik [125]3 years ago

5 0

Answer:

(0,0)

Step-by-step explanation:

the x coordinate for the vertex is at the line of symmetry

ax^2 +bx+c

the line of symmetry is at h =-b/2a

x^2 =12y

divide by 12

1/12 x^2 = y

a = 1/12 b=0 c=0

h = 0/(2* 1/12)

h =0

to find the y coordinate, substitute x=0 back in

y = 1/12 * 0 = 0

the vertex is (0,0)

You might be interested in

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

Solve the equation. 6g = 48 what does g equal?

Artyom0805 [142]

G should equal out the be 8 Because 6X8 is equal to 48! I hope this helps:)

3 0

3 years ago

Read 2 more answers

Plzzz helppp will mark brainlest stpps plzz if possible

VMariaS [17]

Answer:

Step-by-step explanation:

Law of sines

$\frac{Sin A}{a}$ = $\frac{Sin B}{b}$

A and B are angles.

a and b are sides opposite corresponding angles.

8 0

3 years ago

Using the triangle below, find the ratio please need help answering for a quiz

Murrr4er [49]

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
sin22° = Opposite/hypotenuse = 15/40 = 5/4

8 0

3 years ago

One T-shirt is sold for every 5 people who attend a concert. What is one way to write the unit rate in words?

liraira [26]

Answer : the answer is 5 people per T-shirt

Step-by-step explanation: because its 5 people per 1 T-shirt

3 0

3 years ago