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kherson [118]
3 years ago
5

I NEED HELP PLEASE, THANKS! :)

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

Option B

Step-by-step explanation:

Rewrite each of the options given to us in standard form. That way we can identify the parabola properties of each -

Standard Form = 4\cdot \:2\left(y-\left(-9\right)\right)=\left(x-8\right)^2,\\\left(h,\:k\right)=\left(8,\:-9\right),\:p=2\\-----------------\\Standard Form = 4\cdot \:2\left(y-8\right)=\left(x-\left(-9\right)\right)^2,\\\left(h,\:k\right)=\left(-9,\:8\right),\:p=2

Right away you can tell that the second option is correct. The vertex is known to be ( - 9, 8 ) and extends at an exponential rate of 2. This is our solution, <u><em>Option b!</em></u>

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Anuta_ua [19.1K]

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On a farm there are some cows and some chickens if the animals have a total of 40 heads and 112 legs how many cows are there? ho
tankabanditka [31]

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There are 16 cows and 24 chickens in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there x chickens AND,

there are y number of Cows.

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For the number of heads we can write,

x+y=40 <--------- 1st equation

For the number of legs we can write,

2x+4y=112 <------ 2nd equation

We can now solve the simultaneous equations to find x and y

Multiply 1st equation by 2 and deduct it from 2nd equation to remove x

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6 0
3 years ago
"Tongue Piercing May Speed Tooth Loss, Researchers Say" is the headline of an article. The article describes a study of 51 young
Paul [167]

Answer:

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 51, \pi = \frac{19}{51} = 0.373

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 - 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.24

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 + 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.506

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

3 0
4 years ago
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