A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.
What is the range of the given function?

{x | x = –5, 1, 4, 6}
{y | y = –7, –1, 0, 9}
{x | x = –7, –5, –1, 0, 1, 4, 6, 9}
{y | y = –7, –5, –1, 0, 1, 4, 6, 9}

The regression equation is y = 11.9799 + (-246.4420)x.

The chest size (x) is the independent variable.

Now,

X         Y          XY          X²          Y²

47      282     13254     2209     79542

61      495     30195     3721     245025

51      371     18921     2601     137641

47      349     16403     2209     121801

54      421      22734    2916     177241

56      389      21784    3136     151321

Table for the sum,

n                         6

sum(XY)          123291.00

sum(X)             316.00

sum(Y)             2307.00

sum(X²)            16792

sum(Y²)            912553

Numerator        10734

Denominator     11711.10

r                         0.9166

r²                        0.8401

Xbar(mean)       52.6667

Ybar(mean)       384.5

b                        11.9799

a                       -246.4420

Now,

b = [ ∑XY - (∑X)(∑Y) ] / [ n∑ X² - ( ∑X )² ]

Therefore,

b = 11.9799

a = [ ∑Y  - b ∑x ] / n

a  = - 246.4420

So, the regression equation is:

y = 11.9799 + (-246.4420)x

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The minimum and a maximum number of hours the truck will travel at that speed are 10.5 and 13.5 hours respectively.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity = total distance / total time taken

Units of velocity are given by ⇒ meter/second

Speed of truck = 70 miles/hour

Maximum distance = 840 + 105 = 945 miles.

Minimum distance = 840 - 105 = 735 miles.

Now,

Time = distance / velocity

Minimum time = minimum distance / velocity

So,

Minimum time = 735 / 70 = 10.5 hour.

Maximum time = maximum distance / velocity.

Maximum time = 945 / 70 = 13.5 hour.

Hence "The minimum and a maximum number of hours the truck will travel at that speed are 10.5 and 13.5 hours respectively".

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Answer:

[tex] \sf \: x= \frac{78}{19} (Decimal: 4.105263)[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

6x=468/19

Step 1: Divide both sides by 6.

6x/6=468/19/6

x=78/19 (Decimal: 4.105263)

Answer: 82.94

Step-by-step explanation:

Math

Answer:

Both the girls have 62 lollipops

Step-by-step explanation:

25+25=50

50+12=62

Answer:

62 lollipops

Step-by-step explanation:

If Angie has 12 more lollipops than Crystal...

25 + 12 = 37 lollipops

Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...

37 + 25 = 62 lollipops

The statements that complete the figure parameters are

The given parameters are:

Angle HEB = 20 degrees

From the figure, we can see that

Line CE is perpendicular to line AB

This means that

HEB + CEH = 90 degrees ---- complementary angles

HEB + AEH = 180 degrees ---- supplementary angles

So, we have

20 + CEH = 90 degrees

20 + AEH = 180 degrees

Evaluate

CEH = 70 degrees

AEH = 160 degrees

Hence, the complete statements are

CEH and HEB are complementary angles and CEH = 70 degrees

AEH and HEB are supplementary angles and AEH = 160 degrees

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The company must sell 1899 DVDs each day to make a profit.

An owner's income from a successful manufacturing process producing goods for the market is referred to as a profit (business).

The cost for supplies is $0.80 per DVD.

Let the company manufactured and sold x DVD s.

Now , total cost for x DVDs = 0.80 x + 1500

Total sell price for x DVDs = 1.59x

Profit = Sell price - cost price

Profit = 1.59x - 0.80x - 1500

profit = 0.79 x - 1500

Now the profit is made. Therefore profit>0

∴ 0.79 x - 1500 > 0

or , x > 1500 ÷ 0.79

or, x > 1898.734

Hence the company need to sell 1899 DVDs to make a profit.

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The discussion is shown below:

In computing, data is information that has been translated into a form that is efficient for movement or processing.

According to the data

Transaction     Cost

Event 1               NA

Event 2               Product

Event 3               Product

Event 4               Product

Event 5               Period

Event 6               Product

Event 7               NA

Event 8               NA

Event 9               Period

Event 10              Period

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The question you have uploaded is incomplete.

The complete question is:

5.Award: 1.00 point Problems? Adjust credit for all students. The Pet Store experienced the following events for the Year 1 accounting period:

1. Acquired $60,000 cash from the issue of common stock.

2. Purchased $65,000 of inventory on account.

3. Received goods purchased in Event 2 FOB shipping point; freight cost of $900 paid in cash.

4. Sold inventory on account that cost $38,000 for $71,000.

5. Freight cost on the goods sold in Event 4 was $620. The goods were shipped FOB destination. Cash was paid for the freight cost.

6. Customer in Event 4 returned $4,200 worth of goods that had a cost of $2,150.

7. Collected $58,300 cash from accounts receivable.

8. Paid $59,200 cash on accounts payable.

9. Paid $2,600 for advertising expense.

10. Paid $3,100 cash for insurance expense.

Requireda. Which of these events affect period (selling and administrative) costs? Which result in product costs? If neither, label the transaction NA.

Part (a)

[tex]f(3)=5-3(3)^2=-22 \\ \\ f(3+h)=5-3(3+h)^2 \\ \\ =5-3(h^2 +6h+9) \\ \\ =5-3h^2 -18h-27 \\ \\ =-3h^2-18h-22 \\ \\ f(3+h)-f(3)=(-3h^2-18h-22)-(-22)=\boxed{3h^2 +18h}[/tex]

Part (b)

[tex]\frac{f(3+h)-f(3)}{(3+h)-3} \\ \\ =\frac{-3h^2-18h}{h} \\ \\ =\boxed{-3h-18}[/tex]

The maximum whole number of gigabytes of data he can use while staying within his budget is 3 gigabytes

What is straight-line equation?

The straight-line equation which comprises of the fixed charge that Mason would have to pay for data usage every month and the variable charge which is based on the number of gigabytes used is as shown below:

y=a+bx

y=total cos65

a=fixed charge=51.50

b=cost per gigabyte=4

x=number of gigabytes he has to use to stay within his budget=unknown

65=51.50+4x

65-51.50=4x

13.5=4x

x=13.5/4

x=3.38( 3 gigabytes so as not to pay for 4 gigabytes)

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The equation of the line with slope 4 which goes through the point (8,5) will be y = 4x - 27.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slope of the equation of a line is 4, then the equation of the line will be

y = 4x + c

The equation of the line is passing through (8, 5), then the value of c will be

5 = 4(8) + c

5 = 32 + c

c = 5 - 32

c = - 27

Then the equation of the line will be

y = 4x - 27

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Answer:

5617638

Step-by-step explanation:

You can use a calculator or just change the second 5 in the number to 6 because we are adding 100.

Answer: 5617638

Step-by-step explanation:

100+5617538=

5617538+100=

5617000+538+100=

5617000+638=5617638

Answer:

2b) x < - 3

2e) x < 3 or x < -3

Step-by-step explanation:

Format for quadratic equations (the only difference in quadratic equations is that the equal sign is replaced with any of the inequality symbols (< , > , ≥ , and ≤)

ax² + bx + c = 0

- To factor quadratic inequalities (we're using 2b) as a demonstration)

1) Find two numbers that make the product equal to a×c (1×9) which is 9 and the sum that equals to b which is 6. Those two numbers in this case is positive 3 and positive 3

2) Spilt the middle term with those two numbers which are positive 3 and positive 3 so the inequality x² + 6x + 9 is going to become x² + 3x + 3x + 9

3) Take the common terms and simplify the common terms in this case the common terms are x and + 3 so it can be factored as (x + 3) and (x + 3)

To find each x make each term greater than 0 so it would be x + 3 < 0 and x + 3 < 0

4) Solve for x (it is the same way to solve x in inequalities as it were for equations which is doing inverse operations to order to islolate x) It would be x + 3 - 3 < 0 - 3 which is x < - 3

2e)

1) You essentially do the same steps for solving this question too but a shortcut way of doing factoring is to do the perfect square method which is to look a c which is 9 and if its a perfect squares you can factor it as (x+3) and (x-3) since not only is the 9 negative both of these terms when added cancel out each other.

2)To find x make everything < 0 so it would be x + 3 < 0 and x - 3 < 0

3) Solve for x it would be x + 3 - 3 < 0 - 3 and x - 3 + 3 < 0 + 3 . The roots are x < - 3 or x < 3

I hope this helps :)

Answer: The jellyfish is faster

5,6 and 10 have a common multiple of 30 so make the denominator 30.

JF ->3/5=18/30

1/6=5/30

WR->5/6=25/30

3/10=9/30

9h-> 25 miles

1h->2.8 miles

5h->18 miles

1h->3.6 miles

The equation of line in slope intercept form described from given table will be equal to y = -2x + 1

What is the slope intercept form of a line ?

The equation of a line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

From the given figure we can find out that the points are (x1.y1) = (-2 , 5) and (x2 , y2) = ( -1 , 3).

The equation of line in slope intercept form

y = mx + c

Where m is the slope, and c is the y-intercept.

We have points (-2, 5) and (-1,3). Thus , the slope (m) will be :

m = ( [tex]y_{2} - y_{1}[/tex] ) /( [tex]x_{2} - x_{1}[/tex] )

m = ( 3 - 5 ) / ( -1 + 2)

m = -2

Using this value to find out the equation of line we get :

y = -2x + c

Point (-2,5) means that when x = -2 then y = 5 , and we use this data to find value of c , which is the y- intercept ;

5 = -2 × -2 + c

c = 5 - 4

c = 1

So , in slope intercept form the equation of line will be ;

y = -2x + 1

Therefore , the equation of line in slope intercept form will be y = -2x + 1.

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Answer:

8. 47°F

9. -20°C

10. 29,513ft

Step-by-step explanation:

8.

92°F - 45°F = 47°F

The Equator is 47°F warmer than the South Pole.

9.

-4°C × 5 = -20°C

The coldest day on record in Felix's town is -20°C

10.

29,028 - (-485)

29,028 + 485 = 29,513 feet.

The difference between Mt. Everest and the Dead Sea is 29,513 feet.

I hope this helps!

Answer:

3×2-16+5=0​

-5=0

Step-by-step explanation:

Step-by-step explanation:

(3)(2)−16+5=0

−5=0

Answer: An outlier can affect the mean by being unusually small or unusually large

Step-by-step explanation: Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

The informal negation for the statement is that there are simple solutions to life’s problems.

∀ x ∈ X, x is not a solution to life's problems.

A statement is any sentence that can be determined as true or false. A statement can be written as P(x) or Q(x) .

A negation to a statement is the opposite to that statement.

The negation of “There are no simple solutions to life’s problems” is “There are simple solutions to life’s problems.”

To write the statement formally using quantifiers.

1. For all, denotes as ∀

2. There exists, denoted as ∃

Let us define a domain and a Set. A Set is simply a collection of objects.

Let X be the set of all simple solutions to all problems.

∀ x ∈ X, x is not a solution to life's problems.

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Answer:

3/5 hours or 36 minutes

Step-by-step explanation:

John could mow three of these lawns in three hours (3/1 = three), while Sam could only mow two in three hours (3/1.5 = two). Therefore, the two of them could cut 5 lawns in 3 hours (3+2). Together, they can cut the same lawn in three and a half hours, or 36 minutes.

The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.

The slope intercept form of a line is y=mx+c, where m is the slope of line.

a) The slope of the line relating Alyssa's sales to earnings is given by

  slope = (change in earnings)/(change in sales)

Using the first two table entries, the slope is calculated as

  slope = (110 -80)/(200 -10) = 30/200 = 0.15

The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is

  y = slope*x + y-intercept

To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.

The equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80

b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.

c) The slope of the equation represents Alyssa's commission rate.

d) The y-intercept is 80.

Therefore The slope of the line relating Alyssa's sales to earnings is given by 0.15,the equation that gives Alyssa's daily earnings based on her total sales is  y = 0.15x +80,the y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage and the y-intercept is 80.

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The cost of the wool insulation required for the loft floor is £149.16498

The given parameters are

Roll of wool = 114 cm by 5.2 m

One roll = £19.65 per roll

The area of one roll is calculated as

Area = Length * Width

So, we have

Area = 114 cm x 5.2 m

Convert cm to m

Area = 1.14 m x 5.2 m

Evaluate the product

Area = 5.928 m^2

The cost of the required area of loft floor is

Total cost = Unit cost/Area of 1 roll x Area of floor

This gives

Total cost = £19.65/5.928 * 4.5 * 10

Evaluate the product

Total cost = £149.16498

Hence, the cost of the wool insulation required for the loft floor is £149.16498

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The fatality rate per 100,000 is 205.23.

In mathematics, a rate of something is simply the ratio between two related quantities which are expressed different units. While expressing the units of any rate, the word "per" is used to distinguish the units of the two measurements used to calculate the rate.  

Here, we are given that a country has a population of 2.1 million.

2.1 million can be written as- 2,100,000

The number of fatalities experienced by the country = 4,310

This means that there where 4,310 fatalities per 2.1 million of the population.

The number of fatalities per 100,000 will be given as-

4,310/ 2,100,000 × 100,000

expanding it further we get-

4,310/ 21

= 205.23

Thus, the fatality rate per 100,000 is 205.23.

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The product of the ages of

Current age of  Sally is  25

Current age of  Joey is  5

Let age of Sally 5 years prior be x

age of Joey 5 years prior be y

Now the age of Sally is x+5

Now the age of Joey is y+5

product of the ages of Sally and Joey now is 175 more than the product of their ages 5 years prior.

(x+5)(y+5)=175+xy

x y + 5x +5y +25 = 175 + x y

5x+5y = 175-25 = 150

x+ y = 30   .. .. ..1

Sally is 20 years older than Joey

x=20+y

Substitute x=20+y in .. . 1

20+y + y = 30

2y=10

y=5

x=20+y=20+5=25

Current age of  Sally is  25

Current age of  Joey is  5

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Answer: 1

Step-by-step explanation:

Anything to the power of zero is one

Answer:

0.999847695

Step-by-step explanation:

1 for short ig :^

The amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

We are given that:

Principal = p = $ 5000

Interest rate = r = 4%

Compounding Annually

Time = n = 4.5 years

Now, we know that the formula for compound interest is:

Amount (A) = p ( 1 + r )ⁿ

Substituting the values in the formula, we get that:

A = 5000 ( 1 + 0.04)⁴°⁵

A = 5000 (1.04)⁴°⁵

A = 5000 (1.19)

A = $ 5956.13

Therefore, we get that, the amount after 4.5 years for the principal amount $ 5000 at 4 % interest compounded annually will be $ 5956.13.

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Answer:

Step-by-step explanation:

Do 6 +5=11+4=15+1+2+18+3=21+5=26+4=30 theres ur answer:D