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morpeh [17]
3 years ago
9

Pls helpppp helpppppp

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

280

Step-by-step explanation:

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is
Leto [7]

Answer:

t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827    

The degrees of freedom are given by:

df=n-1=23-1=22  

And the p value taking in count that we have a bilateral test we got:

p_v =2*P(t_{(22)}>0.827)=0.417  

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

Step-by-step explanation:

Information given

\bar X=435 represent the mean for the weight

s=\sqrt{841}=29 represent the sample standard deviation

n=23 sample size  

\mu_o =430 represent the value that we want to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

System of hypothesis

We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:

Null hypothesis:\mu = 430  

Alternative hypothesis:\mu \neq 430  

In order to cehck the hypothesis the statistic for a one sample mean test is given by

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we have this:

t=\frac{435-430}{\frac{29}{\sqrt{23}}}=0.827    

The degrees of freedom are given by:

df=n-1=23-1=22  

And the p value taking in count that we have a bilateral test we got:

p_v =2*P(t_{(22)}>0.827)=0.417  

Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value

8 0
3 years ago
The vertices of a rectangle are Q (2, -3), R (2,4), S (5,4), and T (5, -3).
disa [49]

4) A_{QRST} = A_{Q'R'S'T'} = 9.

5) The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the <em>geometric</em> loci conserved the <em>Euclidean</em> distance.

6) x = 1, w = 3, y = - 1/4, z = 1/3

<h3>How to analyze and apply rigid transformations</h3>

<em>Rigid</em> transformations are transformations applied on <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved. In this question we have applications of translations, a kind of <em>rigid</em> transformation.

Exercise 4

In this part we must determine the areas of rectangles QRST and Q'R'S'T':

Rectangle QRST

A = RS · QT

A = 3 · 3

A = 9

Rectangle Q'R'S'T'

Q'(x, y) = (2, - 3) + (- 3, - 3)

Q'(x, y) = (- 1, - 6)

R'(x, y) = (2, 4) + (- 3, - 3)

R'(x, y) = (- 1, 1)

S'(x, y) = (5, 4) + (- 3, - 3)

S'(x, y) = (2, 1)

T'(x, y) = (5, - 3) + (- 3, - 3)

T'(x, y) = (2, - 6)

A = R'S' · Q'T'

A = 3 · 3

A = 9

The rectangles QRST and Q'R'S'T' have both an area of 9 square units.

Exercise 5

The areas of the rectangles QRST and Q'R'S'T' are the same since the translation of the <em>geometric</em> loci conserved the <em>Euclidean</em> distance.

Exercise 6

In this case, we must solve the following equations:

PQ = A'(x, y) - A(x, y)

(4, 1) = (2 · x + 1, 4) - (- 1, w)

(4, 1) = (2 · x + 2, 4 - w)

(4, 1) = (2 · x, - w) + (2, 4)

(2, - 3) = (2 · x, - w)

(x, w) = (1, 3)

PQ = B'(x, y) - B(x, y)

(4, 1) = (3, 3 · z) - (8 · y - 1, 1)

(4, 1) = (2 - 8 · y, 3 · z)

(4, 1) = (- 8 · y, 3 · z) + (2, 0)

(2, 1) = (- 8 · y, 3 · z)

(y, z) = (- 1/4, 1/3)

To learn more on translations: brainly.com/question/17485121

#SPJ1

3 0
2 years ago
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