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3 years ago

I need help finding the y-intercept

Mathematics

2 answers:

Yuri [45]3 years ago

7 0

The intercept of the line is 2

Karolina [17]3 years ago

5 0

Answer: (0, -7)

Step-by-step explanation:

y = mx + b

Where m is slope and b is y-intercept

y = 2x + b

One point that passes through the line is (5,3), which means that x = 5 and y = 3

3 = 2(5) + b

3 = 10 + b

b = -7

(0, -7) is the y-intercept

Using this info you can find the equation of the line

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The circle below is centered at the point (4, 1) and has a radius of length 2 What is its equation?

11111nata11111 [884]

Answer:

(x - 4)^2 + (y - 1)^2 = 2^2 = 4

Step-by-step explanation:

The applicable equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2. Here, h = 4; k = 1; and r = 2.

So the desired equation is (x - 4)^2 + (y - 1)^2 = 2^2

6 0

3 years ago

Posts does Tom need and what are the

Vedmedyk [2.9K]

Answer:

1) 3 marbles

2) The number of people born every hour is 9000 people

The number of people born every day is 216,000 people

The number of people born every year = 78,840,000 people

Step-by-step explanation:

1) The given information are;

The number of students = 3 or 6

Amount of marbles remaining after sharing = None

Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles

The least amount of marbles that can be shared equally among the students = 3 marbles

2) The number of people born int eh world every minute = 150 people

The number of minute in one hour = 60 minutes

∴ The number of people born every hour = 150 × 60 = 9000 people

Given that the number of hours in one day = 24 hours

∴ The number of people born every day = 9000 × 24= 216,000 people

Given that the number of days in one year = 365 days

∴ The number of people born every year = 216,000 × 365= 78,840,000 people

6 0

3 years ago

Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?

Alenkasestr [34]

Answer:

$ 33.06

Step-by-step explanation:

I Hope this helps :))))

5 0

3 years ago

2y + 5x – z = 4y + 6x solve for y

Dmitry_Shevchenko [17]

The answer should be:
Y=-1/2x1

5 0

3 years ago

On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas,

erastova [34]

Answer:

The distribution of X is normal

$P(X < 1.4) = 0.12654$

$P(X > 3.5) = 0.36051$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 3 \ hours$

The standard deviation is $\sigma = 1.4 \ hours$

Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed

Generally the probability that the child spend less than one hour in a day is mathematically represented as

$P(X < 1.4) = P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma} )$

Here $\frac{X - \mu}{\sigma } = Z (The\ standardized\ value\ of\ X)$

$P(X < 1.4) = P(Z < \frac{1.4 - 3.0}{1.4} )$

$P(X < 1.4) = P(Z < -1.1429 )$

From the z-table the value of

$P(Z < -1.1429 )=0.12654$

So $P(X < 1.4) = 0.12654$

Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as

$P(X > 3.5) = P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma} )$

$P(X > 3.5) = P(Z > \frac{3.5 - 3.0}{1.4} )$

$P(X > 3.5) = P(Z > 0.3571 )$

From the z-table the value of

$P(Z >0.3571 )=0.36051$

So $P(X > 3.5) = 0.36051$

5 0

3 years ago