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3 years ago

A square with side length 5.5 mm is increased by a factor of 11. What will be the perimeter of the square after dilation?

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

The perimeter of the square after dilation will be 242 mm

Step-by-step explanation:

$5.5*11 = 66.5\\P = 4s\\P = 4(66.5mm)\\P = 242mm$

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1) Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.

densk [106]

Answer:

E) .0863

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the sample proportion for each observation with the following formula:

$\hat p = \frac{X}{n}$

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:

$p_1 = \frac{10}{100}=0.1$

$p_2 = \frac{9}{100}=0.09$

$p_3 = \frac{11}{100}=0.11$

$p_4 = \frac{7}{100}=0.07$

$p_5 = \frac{3}{100}=0.03$

$p_6 = \frac{12}{100}=0.12$

$p_7 = \frac{8}{100}=0.08$

$p_8 = \frac{4}{100}=0.04$

$p_9 = \frac{6}{100}=0.06$

$p_{10} = \frac{11}{100}=0.11$

And now witht those values we can find the sample mean of proportions with the following formula:

$hat p = \frac{\sum_{i=1}^n p_i}{n}= \frac{0.1+0.09+0.11+0.07+0.03+0.12+0.08+0.04+0.06+0.11}{10}=0.081$

And we can find the standard error with the following formula:

$SE= \sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.081(1-0.081)}{10}}=0.0863$

So then the best option on this case is given by:

E) .0863

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3 years ago

7/16 reduced to lowest terms

Korvikt [17]

7/16

Please give me brainliest and thanks this took lots of hard work

5 0

3 years ago

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Select the correct answer from each drop-down menu.The center of the circle is at O. Segment AB is tangent to circle O at point

IRISSAK [1]

Based on the tangent theorem, m∡ADO = 90°.

Based on the angles of intersecting chords theorem, m∡CGF = 1/2(mCF + mDE).

What is the Angles of Intersecting Chords Theorem?

The angles of intersecting chords theorem states that when two chords in a circle intersect, the angle formed inside the circle at the point of intersection has a measure that is half of the sum of the measures of the intercepted arcs that are formed by the angle and its vertical angle.

<h3>What is the Tangent Theorem?</h3>

According to the tangent theorem, if a line is tangent to a circle, the segment forms a right angle at the point of tangency with the radius of the circle.

Since line AB is tangent to circle O at point D, therefore, based on the tangent theorem:

The measures of angle ADO = 90°

Chord CE and DF intersect in the circle, therefore, based on the angles of intersecting chords theorem:

The measure of CGF = 1/2(mCF + mDE).

Learn more about the tangent theorem on:

brainly.com/question/9892082

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1 year ago

Help!! Thank you so much

zhenek [66]

Answer:

336 cm²

Step-by-step explanation:

rectangle area:

b×h = 24×7,5=180 cm²

" " = 6,5×24=156 cm²

total area: 180+156=336 cm²

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3 years ago

Solve the equation <br>k + 22 = 29

rosijanka [135]

Answer:

K=7

Step-by-step explanation:

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4 years ago

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