can someone tell me the steps on how i got these answers pls answer i’ll give brainlist and points worth 28 points

Find an equation for the line that passes through the points (-4.-2) and (5,1)

skelet666 [1.2K]

Answer:

y= $\frac{1}{3}$ x- $\frac{2}{3}$

Step-by-step explanation:

The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula: $\frac{y_2-y_1}{x_2-x_1}$

In this case,

y2=1

y1= -2

x2=5

x1= -4

plug this into the formula: $\frac{1-(-2)}{5-(-4)}$ , which gives us 3/9, or 1/3 as the slope.

Now we have the equation y=1/3x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (5,1)

1=y, 5=x

1= $\frac{1}{3}$ (5)+b

b= - $\frac{2}{3}$

now, we plug b= -2/3 into our equation, and we finally get y= $\frac{1}{3}$ x- $\frac{2}{3}$

6 0

2 years ago

T=r/r-3<br> make r the subject of the formula

bonufazy [111]

Step-by-step explanation:

$T=r/r-3\\T+3=r/r\\(T+3)*r=r\\r=(T+3)*r$

3 0

2 years ago

An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th

anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .