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MAXImum [283]
2 years ago
15

Please help it is 10th grade Equations of lines and circles 7. Michael is hanging out in the park and needs to keep his so

Mathematics
1 answer:
frosja888 [35]2 years ago
4 0

Step-by-step explanation:

1) the required equation in common form is:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;

According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:

<u>(x+5)²+(y-2)²=6².</u>

2) if the distance between two friends is:

d=\sqrt{(-5-1)^2+(2-1)^2}=\sqrt{37}, \ then

this distance is longer than social (6 ft). For more info see the attachment.

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Here are two ways of paying for delivery from an online supermarket.
Andreas93 [3]

Answer:

Option B will be cheaper.

Step-by-step explanation:

Option A:

1.99*80=159.20

Option B:

5.99*24=143.76

*you get 24 becasue there are 24 months in 2 years.

6 0
3 years ago
Mrs. Smith has a total of 25 kids in her class. There are 3 more boys than there are girls. Write a system of equations to model
Svetlanka [38]

Answer:

b + g = 25

b = g + 3

Step-by-step explanation:

Let b = number of boys.

Let g = number of girls.

"Mrs. Smith has a total of 25 kids in her class."

b + g = 25

"There are 3 more boys than there are girls."

b = g + 3

The system of equations is:

b + g = 25

b = g + 3

6 0
3 years ago
Lani's mother gave her and her two sisters $21 to spend at the movies. If each girl gets the same amount, how much do they each
kiruha [24]

each sister gets 21 dollars, so there are three sisters there fore 21*3 equals 63

3 0
3 years ago
Read 2 more answers
CAN someone help with #4 please?
Masja [62]
The constant of proportionality is <em>4 .</em>

The equation is  [ <em>Height = (4) times (Days)</em> ] .

When the sunflower is 60cm tall,                60 = (4) times (Days).

Divide each side of the equation by 4:       <em>15  =  Days</em>
8 0
3 years ago
Read 2 more answers
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
2 years ago
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