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3 years ago

VERY IMPORTANT TEST AND I NEED CORRECT ANSWER!!

Mathematics

1 answer:

valentinak56 [21]3 years ago

6 0

Given equation y=a(x-h)^2 +k.

Solution:

Subtracting k from both sides, we get

y-k=a(x-h)^2 +k-k

y-k =a(x-h)^2

Dividing both sides by (x-h)^2, we get

(y-k)/(x-h)^2 =a(x-h)^2/(x-h)^2

$\frac{(y-k)}{(x-h)^2} =a$

Therefore, correct option is D option

D). a= (y-k)/(x-h)^2

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Can someone answer #13, #15, and #16

Dominik [7]

#13: b
#14: c
#16: c

It is very easy, have a nice day :)

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4 years ago

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The ratio of Warrior fans to Laker fans at a basketball game was 5 to 3. If

djyliett [7]

Answer:

Step-by-step explanation:

Create a proportion where x is the number of Warrior fans

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3 years ago

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I need help with this question.

devlian [24]

We can see that $a$ lies just before 0, $b$ lies between 2 and 3m and $c$ lies between 4 and 5. So, we have

$-1 < a < 0,\quad 2 < b < 3,\quad 4 < c < 5$

In particular, this implies that

$-1+4 < a+c < 0+5 \iff 3 < a+c < 5$

So, the correct order would be

$-2,\ b,\ a+c$

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3 years ago

A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true

kodGreya [7K]

Answer:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

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:

$n = 542, \pi = \frac{301}{542} = 0.555$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 - 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.52$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 + 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.59$

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

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3 years ago

Please help, need to find HP

Nezavi [6.7K]

2x-3=x+4 because AH is the same length as HP. Solving for x you get x=7. HP=x+4. Plugging x in you get that HP=11 units.

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3 years ago