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3 years ago

2y=x+6 2y-x=6 how do i solve following the system of equations

1 answer:

7 0

$2y = x + 6 \\ \\ 1. \: 2y - 6 = x \\ 2. \: x = 2y - 6 \\ \\ \\ 2y - x = 6 \\ \\ 1. \: - x = 6 - 2y \\ 2. \: x = - 6 + 2y \\ 3. \: x = 2y - 6$

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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

6 0

3 years ago

it's just had to do chores 5 minutes 25 minutes 30 minutes 1 hour and 15 minutes and his father came home at 6.10 what is the la

Alex73 [517]

Answer:

3:55

Step-by-step explanation:

Add 5+25+30+1hour+15 minutes=2:15

subtract that from 6:10=

3:55

5 0

3 years ago

Solve the system using elimination.

vampirchik [111]

Answer:

x = 9(4)-34 = 2

Step-by-step explanation:

3 0

3 years ago

I need help i dont know how to do it and i dont know the answer

Aloiza [94]

Answer:

125 ft²

Step-by-step explanation:

We know that that surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces, plus the two lateral rectangular faces.

So you get:

SA = 2 [ $\frac{1}{2}\\$ (15)(15)] + 2 [(30)(15)] = 1,125 ft²

3 0

3 years ago

Is 5/6 x 2/3 equal to greater than or less than 2/3

viva [34]

Greater than obviously

7 0

3 years ago

Read 2 more answers