All categories

3 years ago

What is the vertex of the parabola defined by the equation(x − 2)^2 = -12(y − 2)?

2 answers:

6 0

X^2-4x+4=-12y+24
(x^2-4x-20)/-12=y
quadratic => vertex is (-b/2a,f (-b/2a))
Note it is a minimum since coefficient a is positive

KatRina [158]3 years ago

3 0

I got (2,2) as the answer

You might be interested in

Need helpp fastt plss will give brainliest to who is correct plss helpp

alisha [4.7K]

I think I might have my math wrong here but I think 5

8 0

2 years ago

What is the volume, in cubic inches, of a cone that has a radius of 8 inches and a height of 12 inches? Use 3.14 for π , and rou

Doss [256]

Answer:

803.84 in^3

Step-by-step explanation:

First of all we have to find the base area

base area = radius^2 x 3.14 = 8^2 x 3.14 = 64 x 3.14 = 200,96 in^2

the volume can be find with this formula:

V = (base area x height)/3

V = (200.96 x 12)/3 = 803.84 in^3

8 0

3 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

Please solve this simultaneous equation

Scrat [10]

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

3 0

3 years ago

Read 2 more answers

SUZANNE rode her bike 15mph for 12 mins then rode 12mph for 20 mins how far did she ride

Anika [276]

Answer:

7 miles

Step-by-step explanation:

Distance = Rate times Time

Distance #1: (15 mph)(12/60 hr) = 3 miles

Distance #2: (12 mph)(20/60 hr) = 4 miles

Total distance ridden = 7 miles

7 0

3 years ago