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2 years ago

What is an equation in point- slope form for the line perpendicular to y= 3x-4 that contains (7,2)?

Mathematics

1 answer:

3241004551 [841]2 years ago

3 0

Answer:

y - 2 = - $\frac{1}{3}$ (x - 7)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$\frac{m}{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = - $\frac{1}{3}$ and (a, b) = (7, 2), thus

y - 2 = - $\frac{1}{3}$ (x - 7) ← equation of perpendicular line

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It

Pachacha [2.7K]

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

$H_0:\mu = 419$ --- works correctly at 419g

Alternate Hypothesis

$H_0:\mu < 419$ --- under fills the bag

$n =15$ --- the sample

$\bar x = 409$ --- the mean

$\sigma = 22$ --- the standard deviation

$\alpha = 0.05$ --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

$t = \frac{\bar x - \mu}{\sigma/\sqrt n}$

$t = \frac{409 - 419}{22/\sqrt{15}}$

$t = \frac{-10}{22/ 3.87}$

$t = \frac{-10}{5.58}$

$t = -1.792$

Calculate df

$df = n-1$

$df = 15-1$

$df = 14$

Calculate the p value from the Student's t-distribution at df = 14 and $t = -1.792$

$p =0.047$

Given that: $\alpha = 0.05$

Since $p < \alpha$

So, it means that the machine is under filling the bags

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2 years ago

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seraphim [82]

Answer:

$4500

Step-by-step explanation:

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3 years ago

Angle psr measures 99°. what is the measure of psq in degrees?

Snezhnost [94]

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Talja [164]

Term:    3    4      5
Value 20    ..      5
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Schach [20]

Answer:

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Step-by-step explanation:

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