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3 years ago

What is the y-intercept of the line with the equation 4x + 2y=12

Mathematics

2 answers:

Natali5045456 [20]3 years ago

6 0

Answer:

y intercept ( b) = 6.

Step-by-step explanation:

Given : equation 4x + 2y=12.

To find : what is the y-intercept of the line with the equation.

Solution : We have given that 4x + 2y=12.

Equation of line : y = mx + b

Where, m = slope , b = y intercept.

4x + 2y=12.

Convert it into line form.

On subtracting both sides by 4x

2y = -4x + 12 .

On dividing both sides by 2.

y = -2y + 6.

On comparing m = -2 , b = 6 .

Therefore, y intercept ( b) = 6.

malfutka [58]3 years ago

3 0

The y-intercept (0,6) all you have to do when the formula is written like that just divide the opposite side by the number next to y.

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The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc

avanturin [10]

9514 1404 393

Answer:

2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

C = 2πr

For a radius of (r cm), the circumference is ...

A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0

3 years ago

Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school.

Svet_ta [14]

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

5 0

3 years ago

Plz Help NO LINKS NO LINKS

Ann [662]

Answer:

The second one is correct.

6 0

3 years ago

Pls help solve!!!!!!!!

Svetradugi [14.3K]

Its also 40°30' because the median is also a bisector in isosceles triangle

5 0

3 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

Notice that the margin of error decreases when the sample size increases.

4 0

3 years ago