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3 years ago

Identify the lengths of sides m and n.

Mathematics

1 answer:

juin [17]3 years ago

8 0

Answer:

m = 26

n = 13

Step-by-step explanation:

Use the sine rule

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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

2 years ago

What is the slope-intercept form of the linear equation 4x + 2y = 24? Drag and drop the appropriate number, symbol, or variable

Morgarella [4.7K]

The slope-intercept form of the linear equation $4x + 2y = 24$ is $y =-2x+12$

Step-by-step explanation:

We need to write slope-intercept form of the linear equation $4x + 2y = 24$

The standard equation of slope-intercept form is:

$y=mx+b$

Converting given equation in slope-intercept form.

$4x + 2y = 24$

Add -4x on both sides

$2y = -4x+24$

Divide both sides by 2

$y =-2x+12$

So, the slope-intercept form of the linear equation $4x + 2y = 24$ is $y =-2x+12$

Keywords: Slope-intercept form

Learn more about Slope-intercept form at:

#learnwithBrainly

6 0

3 years ago

You have a new mobile phone. The phone costs £140 and then you pay for a one year contract at £15 per month. How much do you pay

netineya [11]

It is the amount you pay each month times 12
15x12=£180

6 0

3 years ago

Please answer this math question for me

klemol [59]

Answer:

angle D is 90⁰

E is 66⁰

and F is 114⁰

7 0

2 years ago

Read 2 more answers

Help asap will give brainliest!!!!

GarryVolchara [31]

Answer:

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = $\frac{1}{x+5}$ - 1 ( add 1 to both sides )

y + 1 = $\frac{1}{x+5}$ ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = $\frac{1}{y+1}$ ( subtract 5 from both sides )

x = $\frac{1}{y+1}$ - 5

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{1}{x+1}$ - 5 where x ≠ - 1

7 0

3 years ago