Dean has 54 quarters. He wants to arrange them in rows with the same number of quarters in each row. What is one possible way for Dean to arrange all the quarters equally in rows?

Answers

Answer 1

To arrange all the quarters equally in rows dean need 9 rows in which 6 quarters are placed  or vice versa.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

The Combination formula in Maths shows the number of ways a given sample of “k” elements can be obtained from a larger set of “n” distinguishable numbers of objects. Hence, if the order doesn't matter then we have a Combination

Dean has 54 quarters. He wants to arrange them in rows with the same number of quarters in each row. so he has to divide 6 quarters equally in

9 rows .

Hence , Dean needs 9 rows in which 6 quarters are placed in order to arrange all the quarters equally in rows, or vice versa.

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Related Questions

a charge nurse is reviewing orthostatic hypotension with a group of newly licensed nurses. what make the statements should the charge nurse make?'

Answers

A charge nurse is reviewing orthostatic hypotension with a group of newly licensed nurses. the statements should the charge nurse make is c) a decrease of 20 mm of Hg in the diastolic pressure with a position change indicates orthostatic hypotension.

About Orthostatic hypotension

Orthostatic hypotension — also called postural hypotension — is a form of low blood pressure that happens when standing after sitting or lying down. Orthostatic hypotension can cause dizziness or lightheadedness and possibly fainting.

Orthostatic hypotension can be mild. Episodes might be brief. However, long-lasting orthostatic hypotension can signal more-serious problems. It's important to see a health care provider if you frequently feel lightheaded when standing up.

Occasional orthostatic hypotension is usually caused by something obvious, such as dehydration or lengthy bed rest. The condition is easily treated. Chronic orthostatic hypotension is usually a sign of another health problem, so treatment depends on the cause.

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Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius

Circle A has been transformed to Circle B.What is the scale factor of Circle A to Circle B?Scale Factor=Image

Answers

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

In his collection, Marco has 7 large gold coins, 10 large silver coins, 12 small gold
coins, and 3 small silver coins. If he randomly picks a coin, what is the probability
that it is gold, given that the coin is small?

Answers

The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

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What is the approximate area of the circle shown below

What is the approximate area of the circle shown below

Answers

Area of circle= pi r^2
We don’t have the radius so to find it we divide the diameter by 2
70/2= 35
A=pi 35^2
=3849.9in^2
Or choice B

Answer:

the approximate area of corcle is 3848

\(diameter = 70in \\ radius = \frac{70}{2} \\ = 35in \\ area = \pi \: r {}^{2} \\ = \pi \: 35 {}^{2} \\ = 3848.45in {}^{2} \)

i’ll give brainliest!

ill give brainliest!

Answers

Answer:

okay ans is A(w)=w2+5w-1/8piw2

Which is true about the product of 3/8 and 7/2?

Answers

Answer:

Nothing ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎

Step-by-step explanation:

Answer:

Do you have the options? Or..

"We should express our emotions in a manner that doesn't hurt others or harm our emotional well-being" Do you agree? Explain with an example. plzz help me I will the best ans brainliest ( and also this is MORAL SCIENCE)

Answers

It should be noted that we should express our emotions in a manner that doesn't hurt others. Therefore, the statement is logically true.

What is emotion?

Emotion simply means the feeling that's conveyed through our words or actions.

It's important for us to consider others whenever we are doing a particular thing. Therefore, we should express our emotions in a manner that doesn't hurt others.

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what is 1/4 of 2/3 plz help​

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

1/4× 2/3= 1/6

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PLEASE ANSWER WITH EXPLANATION

Beth and Alana are playing
Soccer. They both kick a ball
with an initial speed of 40 feet
per second. Beth kicked the ball
at a 55° angle and Alana kicked
the ball a 38° angle. Which
girl's ball went further and
by how many feet?

A) Beth; 1.43 ft
B) Beth; 1.29 ft
C) Alana; 1.38 ft
D) Alana; 1.51 ft
E) Alana; 1.64 ft

Answers

Answer: Nicole Kicked the ball Father by  22 feet than Tyrell.

Which girl's ball traveled the furthest, and by how far?

The force of gravity caused the soccer ball to return to the girl.

By means of gravity, a planet or other body pulls items toward its center.

It is, in ideal circumstances, abiding by Newton's third law of gravitation and force.

Each action has a corresponding and opposing reaction.

So, when a boy kicks a ball and it comes back, that signifies he is abiding by the law.

Nicole kicked the ball 57 feet

Tyrel kicked the ball 35 feet

Nicole  Kicked the ball Father by = 22feet

This is gotten by subtracting the distance Nicole kicked from that of Tyrel

=57 feet - 35feet = 22feet

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A sum of money is to be divided among Anthea, Barry and Carol in the ratio 2:5:1
respectively. If Barry got $200 more than Carol, calculate:
The sum of money?

Answers

Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400

Anne thinks of a number. Brenda also thinks of a
number. Anne multiplies her number by Brenda's
and then squares the answer. If a represents Anne's
number and b represents Brenda's number, which
expression represents her answer?​

Answers

Anne's number is a

Brenda's number is b

_________________________________

Anne multiplies her number by Brand's :

\(a \times b\)

_________________________________

Then squares the answer :

\( ({a \times b})^{2} \)

_________________________________

The expression which represents her answer is :

\( {a}^{2} \times {b}^{2} \)

A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are listed below.
Closing Cost
Charge
Loan origination
$345
Title insurance
$600
Attorney's fees
$1,350
Appraisal
$480
Inspection
$550
Recording fees
$175
Escrow
$1,900

Evaluate the lender's good faith estimate.
a.
The lender made an excellent estimate; it was equal to the actual closing costs.
b.
The lender made a very good estimate; it was within 0.25% of the actual closing costs.
c.
The lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs.
d.
The lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Answers

An evaluation of the lender's good faith estimate shows a.  The lender made an excellent estimate; it was equal to the actual closing costs.

Data and Calculations:

Estimated rate of closing costs of loan = 3% of loan amount

Loan amount = $180,000

Estimated closing costs = $5,400 ($180,000 x 3%)

Actual closing costs incurred:

Loan origination                    $345

Title insurance                      $600

Attorney's fees                   $1,350

Appraisal                              $480

Inspection                            $550

Recording fees                     $175

Escrow                               $1,900

Total actual costs          $5,400

Actual costs in percentage = 3% ($5,400/$180,000 x 100)

Thus, the lender made an excellent estimation. It equals the actual closing costs.

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Answer:

maybe I'm wrong but I think is A.

Step-by-step explanation:

What is the slope to this problem ?

What is the slope to this problem ?

Answers

Answer:

-2

Step-by-step explanation:

rise/run

But in this case, since you start by doing down, it would be negative.

Answer:

Step-by-step explanation:

y= -1-1/-2-(-5)

y=-1-1/-2+5

y=-2/3

:)

Graph the lines: y=2x, y = 4, and x = 1.65+43+2+1+1 24 5 617 6 5 4 3 2 1-12-3+4+-5+7+

Graph the lines: y=2x, y = 4, and x = 1.65+43+2+1+1 24 5 617 6 5 4 3 2 1-12-3+4+-5+7+

Answers

y=2x

Slope intercept form:

y=mx+b

Where:

m= slope ( rise / run)

b= y-intercept (where the line crosses the y-axis)

For y= 2x, m=2 and b= 0

Graph:

For y= 4

m= 0 , b = 4

Since it has no slope, it is a horizontal line that crosses y at 4.

x= 1

It is a vertical line that crosses the x-axis at x=1

Graph the lines: y=2x, y = 4, and x = 1.65+43+2+1+1 24 5 617 6 5 4 3 2 1-12-3+4+-5+7+
Graph the lines: y=2x, y = 4, and x = 1.65+43+2+1+1 24 5 617 6 5 4 3 2 1-12-3+4+-5+7+
Graph the lines: y=2x, y = 4, and x = 1.65+43+2+1+1 24 5 617 6 5 4 3 2 1-12-3+4+-5+7+

Calculate the area of a circle with a radius of 5 meters

Answers

Formula :Pi ( r)^2
Ans: pi (5)^2 = 78.5( cor. to 3 sig. fig)/ 25 pi

How do you find out how many times a number goes into another number? What math do you do?

Answers

Answer:

Divide one number by the other, your quotient is the answer.

Solve.
3.12 - 0.6 =

help!

Answers

The answer is 2.52

I hope this helps you!

Answer:

Step-by-step explanation:

3.12 - 0.6 = 2.52

Complete the equation describing how x
and y are related.
х
у
y = -0.5x + [?]
0 -1
1 -1.5
2.
-2
3 1-2.-5
4 -3
5 -3.5
Enter the answer that
belongs in [?]

Complete the equation describing how xand y are related.y = -0.5x + [?]0 -11 -1.52.-23 1-2.-54 -35 -3.5Enter

Answers

Answer:

y=-0.5x-1

Step-by-step explanation:

To complete the equation, we need the y intercept. The y intercept is at x=0, y=-1

The equation of the line is y = -0.5x - 1.

What is the slope of the line?

The slope of the line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

To determine the equation, we need the y intercept. The y intercept is at x = 0, y = -1

The line passes through the points (0, -1) and (4, -3)

Let

x₁ = 0 y₁ = -1

x₂ = 4, y₂ = -3

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (-3-(-1))/(4-0)

m = (-3+1)/(4)

m = -2/4

m = -1/2

Let the line  (y - y₂) = m(x -x₂ )

Substitute the values in the equation,

So, y-(-3) = -1/2(x-4)

y + 3 = -1/2x +2

y = -0.5x + 2 - 3

y = -0.5x - 1

The equation of the line is y = -0.5x - 1.

Thus, the missing number is - 1.

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The length of a rectangle is 3 meters and the width is 14 meters. What is the perimeter of the rectangle? Do not include units in your answer.

Answers

Perimeter of 34 meters

Choose the correct simplification of the expression (4x3y2z4)(2x3y4z3)

Answers

Answer:

\(=8x^6y^6z^7\)

Step-by-step explanation:

\((4x^3*y^2*z^4)(2x^3*y^4*z^3)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\:a^c=a^{b+c}\\=4y^2z^4\cdot \:2x^{3+3}y^4z^3\\\mathrm{Add\:the\:numbers:}\:3+3=6\\=4y^2z^4\cdot \:2x^6y^4z^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=4z^4\cdot \:2x^6y^{2+4}z^3\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\z^4z^3=\:z^{4+3}\\=4\cdot \:2x^6y^6z^{4+3}\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=4\cdot \:2x^6y^6z^7\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8x^6y^6z^7\)

What type of correlation would be expected between distance run and calories burned? Would this relationship be causal?

Answers

Answer:

Positive correlation, but not causal

Answer: positive correletion/casual

Step-by-step explanation:

It's illegal to bet on political races in the United States, but overseas betting on American elections is common. As of this writing, Hillary Clinton is the favorite to win the presidency in 2016, with odds listed as 8/11. Explain what that means, including relating it to probability.

Answers

Odds are a measure of the likelihood of an event occurring. In the case of betting on an event, odds represent the ratio of the payout for a winning bet to the amount of the bet. So, in this case, odds of 8/11 mean that if you were to bet $11 on Hillary Clinton winning the presidency and she did win, you would get a payout of $8, plus your original $11 bet.

To relate this to probability, you would calculate the implied probability of the odds. This is a simple calculation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton, the implied probability would be:

(1 / (8/11 + 1)) x 100% = 57.89%

So, according to these odds, there is a 57.89% chance that Hillary Clinton will win the presidency.

Answer:

57.89%

Step-by-step explanation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton:

Implied probability = (1 / (8/11 + 1)) x 100% = 57.89%

There is a 57.89% chance that Hillary Clinton will win the presidency.

The average retirement age for a certain country was reported to be years according to an international group dedicated to promoting trade and economic growth. With the pension system operating with a​ deficit, a bill was introduced by the government during the summer to raise the minimum retirement age from 60 to 62. Suppose a survey of retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire. Assume the standard deviation of the retirement age is years. Using ​, answer parts a through c below.a. Explain how Type I and Type II errors can occur in this hypothesis test. A Type I error can occur when the researcher concludes the average retirement age ? did not increase, increased, but the average retirement age ? increased. did not increase. A Type II error can occur when the researcher concludes that the average retirement age ? did not increase, increased, ?when, in? fact, the average retirement age ? did not increase. increased.b. Calculate the probability of a Type II error occurring if the actual population age is 57.4 years old. The probability of committing a Type II error is _______ . ?(Round to three decimal places as? needed.)c. Calculate the probability of a Type II error occurring if the actual population age is 58.9 years old. The probability of committing a Type II error is _______ . ?(Round to three decimal places as? needed.)

Answers

The missing figures in the question can be seen below.

The average retirement age = 56.1 years ...

The number of a  survey of retired citizen = 49

The standard deviation of the retirement age is 6 years.

Using alpha ∝ = 0.02

Answer:

Step-by-step explanation:

From the given options in the first question in the given information.

Type I error can take place when the researcher concludes the average retirement age increased, but the average retirement age did not increase.

A Type II error can take place when the researcher concludes that the average retirement age did not increase, but the average retirement age increased.

Recall that:

population mean = 56.1

sample size = 49

standard deviation = 6

At the level of significance of 0.02, using the Excel function (=Normsinv(0.02))

The critical value for z = 2.054

Standard error = \(\dfrac{\sigma}{\sqrt{n}}\)

=\(\dfrac{6}{\sqrt{49}}\)

= 6/7

= 0.857

The rejection region \(\overline X\) = \(\mu +Z_{\alpha/0.02}*\sigma_x\)

\(\overline X\) = \(56.1+2.05374891*0.857\)

\(\overline X\) = 57.86

P(Type II error) is as follows:

\(P(\overline X < 57.86| \mu = 57.4) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})\)

\(= P( Z< \dfrac{57.86-57.4}{0.857})\)

\(= P( Z< 0.537)\)

From z tables;

P (Type II error) = 0.704

P(Type II error) is as follows:

\(P(\overline X < 57.86| \mu = 58.9) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})\)

\(= P( Z< \dfrac{57.86-58.9}{0.857})\)

\(= P( Z<-1.214)\)

From z tables;

P (Type II error) = 0.1124

Identify the linear equation.
A) y = x6
b) y=x/6

c) y=6/x
d) y= |x+6 |

Answers

A is the correct answer.

(a) The coefficient of variation for males is _%
(b) The coefficient of variation for females is _%


(c) Compare the variability of grade point averages of males and females. Choose the correct answer below.
A.
The grade point averages of females and males have the same variation.
B.
The grade point averages of females and males do not vary.
C.
The grade point averages of males are more variable than females.
D.
The grade point averages of females are more variable than males.

Answers

The coefficients of variation shows that D. The grade point averages of females are more variable than males.

How to illustrate the information?

From the complete information, the coefficients of variation for male is 21.3% and the coefficient of variation for female is 25.1%.

In this case, the coefficients of variation shows that the grade point averages of females are more variable than males.

In conclusion, the correct option is D.

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The total of 8 and the product of x and 2

Answers

Answer:

13

Step-by-step explanation:

-21x (x + 28)
multiply

Answers

\(-21x^{2}-588\)

let me know if anything is unclear, I'm happy to help!

-21x (x + 28)multiply

divide the number 520 into 2 parts in the ratio 5:8

Answers

Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

An art class has 63 minutes of painting for every 54 minutes of instruction. What is the basic ratio of minutes of painting to minutes of instruction

Answers

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

What is the basic ratio of minutes of painting to minutes of instruction

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

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Boxes of cereal normally cost £2.89 each, but a supermarket has a special offer:

Boxes of Cereal
3 for the price of 2

Megan has £20 and she wants to get as many boxes of cereal as possible.

How many boxes can she buy?

Answers

Answer:

10 boxes

Step-by-step explanation:

- 2.89*2= 5.78

20/5.78= 3.4...

which means you can spend 5.78 (the cost of two boxes) three times. now. if they're selling the boxes 3 for the price of two, you're actually getting 3*3.4 for your total amount you can purchase.  3*3.4= 10.2 obviously you can't get .2 boxes of cereal, so you round down to get 10 total boxes of cereal.

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