Ask question

Ask question

All categories

3 years ago

15

What is the general form of the equation for the given circle centered at o (0,0) (4,5)?

1 answer:

charle [14.2K]3 years ago

8 0

The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>

You might be interested in

Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start w

Tasya [4]

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that $P(A) = 0.2$

50% of rainy days start with rain clouds in the air

50% of 10%. So

$P(A \cap B) = 0.5*0.1 = 0.05$

What is the probability that it will rain today and ruin your picnic

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25$

0.25 = 25% probability that it will rain today and ruin your picnic

3 0

2 years ago

A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?

kirill115 [55]

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

3 0

3 years ago

The base of a solid S is the region bounded by the parabola x^2=8y

nexus9112 [7]

Step-by-step explanation:Updated answer is the second one

8 0

2 years ago

Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals

anygoal [31]

The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.

From the table given, the linear regression model for the data can be expressed as :

y = 14.02x - 3.64 ; where ;
y = Predicted number of wins ;
x = average number of goals per match ;
slope = 14.02 ;
Intercept = - 3.64

<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :

Average goals per match, x = 1.5

Substitute x = 1.5 into the equation :

y = 14.02(1.5) - 3.64

y = 17.39

y = 17 (nearest whole number)

Learn more :brainly.com/question/18405415

8 0

2 years ago

What does the ratio of the circumference to the diameter represent? Explain

snow_tiger [21]

That is the exact representation of the constant π. By definition:

π=C/d, where C is the circumference of a circle and d is the diameter.

6 0

3 years ago