All categories

3 years ago

Please help me!!!!!!!!!!!

2 answers:

8 0

The given parabola is $y+4=12(x-7)^2$ . Compare with the standard equation of a parabola in vertex form, $y-c=a(x-b)^2$ .

The vertex of this parabola is $(b,c)$ . Compare $y+4=12(x-7)^2$ with the standard equation $y-c=a(x-b)^2$ .

we see $c=-4,b=7$ . Thus, the vertex of the given parabola is $(7,-4)$ .

jolli1 [7]3 years ago

4 0

I just took the quiz and got (7,-4)

You might be interested in

Can someone please explain how to do this?

wolverine [178]

Answer: 15,000

Step-by-step explanation:

When you subtract 75,000-60,000, you will get 15,000 and 15,000 is the Variance.

Hope this helps! Thanks for asking.

7 0

3 years ago

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Creation of reproductive cells (gametes) requires...

creativ13 [48]

Answer: a sperm and an egg

Step-by-step explanation:

3 0

3 years ago

Geometry peculiar pool

saw5 [17]

Answer:

hi.

Step-by-step explanation:

download photo math

5 0

3 years ago

I need help!! 100 points! Please don't scam, I will report and take away these points!

pentagon [3]

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

8 0

3 years ago