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2 years ago

R, S, Q and P are the midpoints of OC, CB, BA and OA respectively.

Mathematics

1 answer:

Stolb23 [73]2 years ago

3 0

Answer:

See below.

Step-by-step explanation:

Draw segment OB.

In triangle OBC, points R and S are the midpoints of sides OC and BC, respectively. That makes RS parallel to OB.

In triangle OBA, points P and Q are the midpoints of sides OA and BA, respectively. That makes PQ parallel to OB.

Since segments RS and PQ are parallel to segment OB, then RS and PQ are parallel to each other.

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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2 years ago

. For the function given, state the starting point for a sample period:

Aneli [31]

I think the answer is π?

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3 years ago

Hbdh What is u+ka= ba for a

balandron [24]

Minus ka from both sides
u=ba-ka
undistribute a
u=(a)(b-k)
diivde both sides by (b-k)
$\frac{u}{b-k} =x$
$x= \frac{u}{b-k}$

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3 years ago

What is 2.085 * 10^6 in standard form

qaws [65]

What is 2.085 * 10^6 in standard form??

= 2,085,000

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3 years ago

Read 2 more answers

For which conditions is p ∨ q false?

faust18 [17]

Answer:

p is false and q is false.

Step-by-step explanation:

Logic Disjunction

Assume p and q are propositions.

The disjunction of p and q, denoted by p ∨ q, is the proposition called "p or q".

The rule for the 'or' operation is: If any of the propositions are true, then the result is also true.

Thus, the disjunction p ∨ q is false when both p and q are false and is true otherwise.

The correct option is the last one:

p is false and q is false.

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2 years ago

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