If lim f (x) x →5 = 2 and lim g (x) x → 5= -6 which of these limits exist?

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

For x < 10 minutes

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68[/tex]

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) =  0.0465

Answer:

y = 3x + 26

Step-by-step explanation:

Plug in the slope and the given point into the equation, y = mx + b

Solve for b (y intercept)

8 = 3(-6) + b

8 = -18 + b

26 = b

Now, plug this into the equation with the slope:

y = 3x + 26 will be the equation

Answer:

y=3x+26

Step-by-step explanation:

We can start by writing this line in point-slope form.

Point-slope form is:

y-y1=m(x-x1)

This is where m is the slope

x1 and y1 are the x and y coordinates of a given point on a line.

With the given info, we are able to write the following equation:

y-8=3(x-(-6))

y-8=3(x+6)

We can now simplify that to slope-intercept form which is y=mx+b

m is slope and b is y-intercept in this form.

y-8=3(x+6)

Distribute

y-8=3x+18

Add 8 to both sides.

y=3x+26

Answer:

15

Step-by-step explanation:

We can imagine this like a number line.

A------------B--------------------C

The distance from A to B is 10.

The distance from A to C is 25.

This means that the distance from B to C will be [tex]25-10=15[/tex].

Hope this helped!

Answer:

C. AB=CF

Step-by-step explanation:

Since AB is equal to radius of circle,

And CF is the radius of circle,

The correct one is:

Correct answer choice is C. AB=SF

Answer:

a.   [tex]1\,\,\,10^4[/tex]

b.   [tex]1.57\,\,\,10^{-4}[/tex]

c.   [tex]1.2\,\,\,10^{10}[/tex]

d.   [tex]1.72\,\,\,10^{-15}[/tex]

e.   [tex]4.53\,\,\,10^5[/tex]

f.   [tex]5.682\,\,\,10^{14}[/tex]

g.   [tex]8.1\,\,\,10^{-8}[/tex]

h.   [tex]9.04\,\,\,10^{-13}[/tex]

i.   [tex]7.123\,\,\,10^3[/tex]

j.   [tex]4\,\,\,10^{-3}[/tex]

Step-by-step explanation:

Start by recognizing the significant figures of the number in question. the first factor to include in the scientific notation should have a non-zero digit followed by a decimal point, and whatever other significant figures follow. Make sure you count how many places you need to move the decimal point to get to the first significant figure for the quantity. If you moved the decimal point to the left in order to get to the first significant figure, you have to include a positive exponent for the base ten, and that exponent is the number of places you counted. If you moved to the right when moving the decimal point to locate it after the first significant figure, you need to include the negative of the number of places you counted in the exponent of the accompanying base 10.

Answer:

4.12 ft

Step-by-step explanation:

because 4+0.12=4.12

Answer:

Let's convert 5.1 ft to inches......we have

5.1 x 12 = 61.2 inches

So

61.2 (1.08) = 66.096 inches

And coverting this to back to ft, we have

66.096/12 = 5.508 ft

Step-by-step explanation:

Answer:

82.4

Step-by-step explanation:

12x+4+8x+20=180

20x+24=180

-24 -24

20x= 156

x= 7.8

Angle 2

4(2*7.8 +5)

4(15.6+5)

4(20.6)

82.4

Answer:

Step-by-step explanation:

Given data : 2x , x , 2x - 11 , x - 3

Mean = 4

N ( number of items ) = 4

Σx = 2x + x + 2x - 11 + x - 3

To find : value of x

Finding the value of x

We know that ,

Mean = [tex] \sf{ \frac{Σx}{n} }[/tex]

plug the values

⇒[tex] \sf{4 = \frac{2x + x + 2x - 11 + x - 3}{4} }[/tex]

Collect like terms

⇒[tex] \sf{4 = \frac{6x - 14}{4 }}[/tex]

Apply cross product property

⇒[tex] \sf{6x - 14 = 16}[/tex]

Move 14 to right hand side and change it's sign

⇒[tex] \sf{6x = 16 + 14}[/tex]

Add the numbers

⇒[tex] \sf{6x = 30}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6x}{6} = \frac{30}{6} }[/tex]

Calculate

⇒[tex] \sf{x = 5}[/tex]

Hope I helped!!

Best regards!!!

Answer:

xy-y^2/x

Step-by-step explanation:

you factor the expression and reduce the gcf 3:

(x-y)*(x+y)/x *y/x+y

reduce the expression with x+y:

x-y/x*y

calculate the product:

y*(x-y)/x

remove parenthesis:

xy-y^2/x

Hi there! :)

Answer:

[tex]\huge\boxed{18 units}[/tex]

Subtract point F from point G to solve for the distance:

12 - (-6) = 18 units.

Question Completion:

Required:

(a) Calculate the total value of products A, B and C which should be shown in inventory in the statement of financial position.

(b) Explain the difference that changing from a weighted average to FIFO method of inventory valuation is likely to have on an entity's profit or loss.

Answer:

Villandry

a) Total value of products A, B, and C based on:

                      Net realizable    List price

                          Value

                            Shs. ​​               Shs.

Ending value   10,486              12,000

b) The difference that changing from a weighted average to FIFO method of inventory valuation is likely to have on an entity's profit or loss:

The weighted average method of inventory valuation accumulates and assigns cost of inventory based on the weighted average.  This simply means that the cost of goods available for sale is obtained and then divided by the number of goods available for sale.  The average cost obtained is used to value the cost of goods sold and the ending inventory.

On the other hand, the FIFO method assumes that goods that are first to be in the store are the ones that are sold first.  This means that the cost of goods sold is valued at the cost of the first goods that are available for sale and the ending inventory is valued at the cost of newly purchased goods, since they are the ones that are still in stock by the FIFO assumption.

The implication of moving from the weighted average method to the FIFO method is that the FIFO method reflects the cost of newly acquired goods in the ending inventory better than the average cost using the weighted average, especially if prices are rising.

Step-by-step explanation:

a) Data and Calculations:

                Net realizable    List price

                      Shs. ​​               Shs.

Product A ​​​​    3,600 ​​​              5,100

Product B ​​​​    2,900          ​​​    2,800

Product C ​​​​    4,200           ​​    4,100

Valuation     10,700            12,000

Discounted 10,486            12,000

The horizontal distance from the origin to the point (1, 4) is 1 unit.

The length along a line or line segment between two points on the line or line segment.

To find the horizontal distance from the origin to the point (1, 4)

we need to find the x-coordinate of the point.

The x-coordinate of the point (1, 4) is 1

1 represents the horizontal distance from the origin to the point.

Therefore, the horizontal distance from the origin to the point (1, 4) is 1 unit.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ3

Answer: 15

Step-by-step explanation: To evaluate an expression, we plug the value of the variable into the expression and simplify.

Since we have 7 - 2x and x is -4, we have 7 - 2(-4).

Simplifying from here, 2(-4) is -8 so we have 7 - (-8).

Now, remember that a a minus sign followed by a

negative sign turns the two signs into a plus sign.

So 7 - (-8) can be thought of as 7 + (+8) which is 15.

Answer:

Bachelors = $51,000

Masters = $66,000

Step-by-step explanation:

M + B = 117,000

M = 2B - 36,000

2B - 36,000 + B = 117,000

3B = 153,000

B = 51,000

M = 2(51,000) - 36,000 = 66,000

The yearly salary of a bachelor's degree and a master's degree is 51 thousand and 66 thousand dollars respectively.

To write numerical expressions from given statements use logic as what is twice of a number what is 6 times of a number and many more.

Suppose a is thrice of b means a is 3 times as big as b.It can be written as a = 3b.

According to the given question  the average yearly salary of an individual whose final degree is a masters is 36 thousand dollars less than twice that of an individual whose final degree is a bachelors.

Assuming yearly salary of a bachelor's degree is x thousand dollars.

∴ yearly salary of an individual with master's degree is

= (2x - 36) thousand dollars.

Given combining these two individual they make 117 thousand dollars.

∴ x + (2x - 36) = 117

 3x = 117 + 36

 3x = 153

   x = 153/3

   x = 51.

So, Yearly salary of an individual who has a bachelors degree is 51 thousand dollars and yearly salary of an individual who did masters is {(2×51) - 36} = 102 - 36 = 66 thousand dollars.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ2

Answer:

Answer D : All real numbers

Step-by-step explanation:

Notice that all real numbers are covered in the Domain of the piece-wise function:

[tex]x<-2[/tex]  union with   [tex]-2\leq x<3[/tex]   union with [tex]x\geq 3[/tex]

That covers the entire Real number line.

The correct answer is A. 73 books

Explanation:

The first step to find the answer is to know the total volume/space in the bookcase. This can be calculated by using the formula v (volume) = h (height) x l (length) x w (width) or multiplying the three sides given because this is the formula for a cuboid and most bookcases have this shape.

v (volume) h x l x w

v = 36 in x 24 in x 12 in

v =  10368 in

According to this, the total volume of the shelf is 10368 in. The next step is to calculate the volume of 1 book. This can be found using the same process and formula.

1.5 in x 11 in x 8.5 in = 140.25 in

Finally, to know how many books can fit in the bookshelf divide the total volume of the bookshelf into the volume of one book.

10368 ÷ 140.25 = 73.9

Thus, the total books that can be fit in the bookshelf is 73

Answer:

Step-by-step explanation:

f(x) = 5x² - x + 2

Using the remainder theorem

To find the reminder substitute the value of x into the above function and solve

That's

x + 1 = 0

x = - 1

So we have

f(-1) = 5(-1)² - ( - 1) + 2

f(-1) = 5 + 1 + 2

f(-1) = 6 + 2

We have the final answer as

Hope this helps you

Answer: undefined

Step-by-step explanation:

#1 use the horizontal and vertical line concept

- when the line is horizontal, the slope is 0

- when the line is vertical, the slope is undefined

- Thus, in this case, the line is vertical, the slope is undefined.

-----------------------------------------------------------------------------------------

# use the slope formula

               [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

- the two points are (1, 1) and (1, -4)

 (-4-1)/(1-1)

=-5/0

= undefined (fractions with 0 base is undefined)

Answer:

Hey there!

The answer is 1/12

1/4(1/3)=1/12

Let me know if this helps :)

30-25 = 5

The stock has dropped $5 total.

$5 / $0.50 per hour = 10 hours

Answer:

[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]

Step-by-step explanation:

Given that distance is 10,000 meter or 6.2 miles.

Time taken is [tex]t[/tex] minutes.

Average speed is [tex]s[/tex] miles/minutes

To find:

Equation to determine time 't' as a function of average speed 's' = ?

t is in minutes and

s is in miles/minute

Solution:

First of all, let us have a look at the formula for Average Speed:

[tex]\text{Average Speed} = \dfrac{\text{Total Distance Traveled}}{\text{Total Time Taken}}\\\Rightarrow \text{Total Time Taken} = \dfrac{\text{Total Distance Traveled}}{\text{Average Speed}}\\[/tex]

Now, we are given that Time, [tex]t[/tex] should be in minutes and

Average speed, [tex]s[/tex] must be in miles per minute

That means, we must have distance in miles.

Putting all the values in above formula.

So, the formula or equation becomes:

[tex]t = \dfrac{6.2}{s}[/tex]

Therefore the equation to find time, [tex]t[/tex] in minutes as a function of Average Speed, [tex]s[/tex] is given as:

[tex]\bold{t = f(s) = \dfrac{6.2}{s}}[/tex]

Answer: Find answers in the attached documents

Step-by-step explanation:

In this case, we have to use the knowledge of probability and calculate the chance of the event to occur, so we have to:

A) No have problem, because every person can be chosen once or not be chosen at all.

B) The event that everybody has been chosen maximally once is equal to the event that we have chosen the sample without replacement.

So that way, we have to analyze to know how the event will occur, so:

A)In this case we choose the sample with replacement, so the probability that there will be birthday match.

B) Using the formula, we have:

[tex]P=1-P\\=1-\frac{(10^6/10^3)}{(10^6)^{(10^3)}}[/tex]

See more about probability at brainly.com/question/795909

Answer:

Distance = √52

Step-by-step explanation:

Given:

First point = (6,9)

And y = 5

So,

x = 0

Second point = (0,5)

Find:

Distance

Computation:

Distance = √(x1 - x2)² + (Y1 - Y2)²

Distance = √(6 - 0)² + (9 - 5)²

Distance = √ 36 + 16

Distance = √52

Answer: Option C.

Step-by-step explanation:

Xmin, Xmax, Ymin, and Ymax represent the minimum/maximum values that X and Y can take.

We know that the scale in Y and X is 10.

This means that each mark in each axis represents 10 units.

Now, let's go to the vertical axis (y-axis)

Counting from the (0, 0) we can count:

4 marks up

4 marks down.

So if each mark represents 10 units, 4 marks are 40 units.

Then the range for Y is {-40, 40}

Now for the horizontal axis.

We can count 3 marks on each side, and with the same reasoning as before, we can find that the range for X is: {-30, 30}

Then we have that:

Xmin = -30

Xmax = 30

Ymin = -40

Ymax = 40

Now, as a point is defined as (X, Y)

This region can be written as:

{Xmin, Xmax} by {Ymin, Ymax}

or, replacing the values:

{-30, 30} by {-40, 40)

So the correct option is C.

C] X min and X max = (-300, 300) and Y min and Y max = (-400, 400)

Xmin, Xmax, Ymin and Ymax denote minimum and maximum values of X and Y respectively.

As x and Y scale are 10 each, the minimum and maximum values can be found by multiplying the units with respective scales.

On X (Horizontal Axis), there are 3 units of line segments each on both left & right sides of origin.

Hence X min & X max = (0 - 300, 0 + 300) = (-300, +300) respectively.

On Y (Vertical Axis), there are 4 units of line segments each on both upwards & downwards sides of origin.

Hence Y min & Y max = (0 - 400, 0 + 400) = ( -400, + 400) respectively.

To learn more, refer https://brainly.com/question/14316282?referrer=searchResults

Answer: c

Step-by-step explanation:

Answer:

.4=a

Step-by-step explanation:

self explanatory

Answer:

[tex]\boxed{109.3yd^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find area we'll use the following formula.

[tex]\frac{b h_{b} }{2}[/tex]

Plug in the given info,

[tex]\frac{9.5*23}{2}[/tex]

Simplify

218.5/2

109.25 or 109.3 rounded to the nearest tenth

= 109.3yd²

Hope this helps :)

Area = 1/2 x side1 x side 2 x sin(angle)

= 1/2 x 9.5 x 23 x sin(85)

= 109.25 x sin(85)

= 108.8 square yards

Answer:

$2416

Step-by-step explanation:

plug in 5 in the place of t

1500(1.1)⁵

(1.1)⁵ = 1.61051

1.61051 x 1500 = 2415.765

Answer:

Step-by-step explanation:

The total number of individuals included in this summary is the sum of the counts {119, 179, 239, 299, 359).  That comes to 1195 individuals.

No, the info given here is insufficient to enable identifying the exact values of all the service times.