All categories

3 years ago

Find the equation of a line that goes through points (-3, -5) and (-1, -2).

Mathematics

1 answer:

ivann1987 [24]3 years ago

7 0

The slope-point formula:

$y-y_1=m(x-x_1)$

The formula of a slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-3,-5)\to x_1=-3,\ y_1=-5\\(-1,-2)\to x_2=-1,\ y_2=-2$

Substitute and calculate:

$m=\dfrac{-2-(-5)}{-1-(-3)}=\dfrac{3}{2}=1.5\\\\y-(-5)=1.5(x-(-3))\\\\y+5=1.5(x+3)\\\\y+5=1.5x+4.5\ \ \ |-5\\\\y=1.5x-0.5$

You might be interested in

Summer has a jar that holds 4 cups of water.eliza has a bottle that holds 3 pints of water. explain whose container has the grea

elixir [45]

1 pint = 2 cups

summer has 4 cups and eliza has 6 cups total

Eliza has the greater capacity because she has a greater amount of total cups.

5 0

3 years ago

Nevaeh rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase

liubo4ka [24]

Answer:

Step-by-step explanation:

If she had two dice, a seven is the most common roll you can get, although the odds are still against you.

To get a seven with just 1 die is impossible.

7 0

2 years ago

Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0

2 years ago

Please help!!!<br> Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Elza [17]

$\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

$\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{3^4(m^{-1})^4(n^2)^4}{2^3(m^{-2})^3n^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}\\\\=10.125m^{-4-(-6)}n^{8-3}=10.125m^2n^5$

7 0

2 years ago

Read 2 more answers

Lucia and Marcus are playing a board game. They roll 2 dice (number cubes) to see who goes first. The person who rolls the highe

yaroslaw [1]

Ans

Step-by-step explanation:

6 0

3 years ago