Calculate the length of the apothem of a regular polygon. A
regular hexagon is shown. What is the length of the apothem,
rounded to the nearest inch? Recall that in a regular hexagon,
the length of the radius is equal to the length of each side of the
hexagon
10 in.
a
5 in
9 in
11 in
4 in

Answer:

x < 44 both sides

Step-by-step explanation:

Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

Answer: He is incorrect.

Step-by-step explanation:

The question says:

"tea drinkers in Canada is 4:1"

We only have that, so i guess that this means:

"The ratio of nonregular tea drinkers to regular tea drinkers in Canada is 4:1"

The ratio 4:1 means that for each 4 non-regular tea drinkers, there is one regular tea drinker.

Now let's multiply both by 100.

For each 400 nonregular tea drinker, there are 100 regular tea drinkers, if we add them we have a total of 500

Then the statement would be if 500 people were surveyed, 100 of the would most likely be regular tea drinkers.

Answer:

\(\dfrac{2}{169}\)

Step-by-step explanation:

A standard 52-card deck comprises 4 suits (Spades, Hearts, Diamonds, and Clubs).  

Each suit comprises 10 numerical cards (numbered 2 through 10, plus an "ace") and 3 "court" cards (jack, queen and king).

Therefore:

\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)

\(\implies \sf P(Queen)=\dfrac{4}{52}=\dfrac{1}{13}\)

\(\implies \sf P(King)=\dfrac{4}{52}=\dfrac{1}{13}\)

Therefore, the probability of drawing a king, replacing the card, and drawing a queen is:

\(\implies \sf P(King)\;and\;P(Queen)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}\)

Similarly, the probability of drawing a queen, replacing the card, and drawing a king is:

\(\implies \sf P(Queen)\;and\;P(King)=\dfrac{1}{13}\times \dfrac{1}{13}=\dfrac{1}{169}\)

Therefore, the probability of drawing a king then a queen, or a queen then a king is:

\(\implies \sf P(King\;and\;Queen)\;or\;P(Queen\;and\;King)=\dfrac{1}{169}+\dfrac{1}{169}=\dfrac{2}{169}\)

Answer:

146.5619<x<153.4381

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI =  xbar±(z*s/√n)

xbar is the mean = 150

s is the standard deviation = 15.50

n is the sample size = 55

z is the z score at 90% CI = 1.645

Substitute and get CI

CI = 150±(1.645*15.50/√55)

CI = 150±(1.645*15.50/7.4162)

CI = 150±(1.645*2.09)

CI = 150±(3.4381)

CI = (150-3.4381, 150+3.4381)

CI = (146.5619, 153.4381)

CI = 146.5619<x<153.4381

Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381

The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

The short piece is 3 feet long.

The long piece is 6 feet long.

Answer:

\(13\frac{43}{64}\)

Step-by-step explanation:

We can see the numerator is being multiplied by 3 and the denominator is being multiplied by 4.

\(\frac{45*3}{16*4} =\frac{135}{64}\)

Then we will add them,

\(5 + \frac{15}{4}+\frac{45}{16} +\frac{135}{64} becomes \frac{320}{64} +\frac{240}{64} +\frac{180}{64} +\frac{135}{64}=\frac{875}{64} =13\frac{43}{64}\)

You can also use formulas to solve this as well, but this way should work too as there are not very many terms :)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

6x

Step-by-step explanation:

add the terms to make one term

the probability that the card you select is a diamond or 7 is 4/13

Mathematical representations of the likelihood of an event occurring or of a proposition being true are dealt with in the area of probability. A number between 0 and 1 represents the likelihood of an event, with 0 roughly denoting impossibility and 1 representing certainty.

Lets take diamond first total diamonds are 13 and total cards are 52 So prob is 13/52 which is 1/4

Lets take 7s

total 10s in the deck is 4 (one in each suite) (one in each suite)

Prob of 7s is 4/52 which is 1/13

Final answer =1/13+1/4=17/52 Total prob is addition of above two as it is "or."

Because the prob of the 7th diamond has been inserted twice, edit it as follows: 17/52-1/52=16/52=4/13

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Answer:

£77.6 per day

Step-by-step explanation:

388/5 = 77.6

Answer:

£77.60

Step-by-step explanation:

388/5=77.6

but remember that this is money so add the 0.

Answer:

6=x would be the answer ok

Answer:

its press play

Step-by-step explanation:

Press Play Step-by-step explanation:

1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer: 61.25m

Step-by-step explanation:

To solve this, the formula used will be:

h = -16t^2 + vt + h(o)

where,

Initial velocity, v = 60mph

Height, h = 5 feet

t = ?

After solving for t, we get t = 1.875 seconds. We then slot it back into the equation.

h = -16t^2 + vt + h(o)

h = -16(1.875)^2 + 60(1.875) + 5

h = -56.25 + 1112.5 + 5

h = 61.25m

Check the attachment for better understanding.

Answer:

A. 3x^2+7x^2+2×3x ×7-84x = 3x^2+7x^2-2×3x×7

9x^2+49x^2+42x-84 x= 9x^2+49x^2-42x

9x^2+49x^2-42 = 9x^2+49 x^2-42x

verified

B.

Answer:

Give him or her brainlist

Step-by-step explanation:

^

|

|

Inequalities are used to represent unequal expressions

The solution to the system of inequalities is (-1,1)

The system of inequalities is given as:

y > x + 2 and

y < 2x + 3

To do this, we start by plotting the graphs of the two inequalities

y > x + 2 and  y < 2x + 3

See attachment for the graph

From the attached graph, both lines meet at (-1,1)

Hence, the solution to the system of inequalities is (-1,1)

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Answer:

7 Cows and 8 Chickens

Step-by-step explanation:

Note that cows have four legs each and chickens have two legs each.

if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.

If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.

One approach would be to build a table of possibilities:

Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there

1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs

2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs

3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs

4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs

5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs

6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs

7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs

We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.

Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.

Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.

We know a couple different, but related, things.

One thing we know is that the total number of animals is 15. We can write that as:

x + y = 15

That means cows (x) plus chickens (y) equals 15.

A second thing we know is that the total number of legs is 44. We can write that as

4x + 2y = 44

That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.

Since we now have two related equations and two variables we can solve for the variables.

If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following

y = 15 - x

That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.

Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)

4x + 2(15 - x) = 44

As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x

4x + 30 - 2x = 44

We can subtract the 2x from 4x and we get

2x + 30 = 44

Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true

2x + 30 - 30 = 44 - 30

30 minus 30 is zero and 44 minus 30 is 14 so now we have

2x = 14

If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7

x = 7

That means we have 7 Cows as x represents cows, so half the problem solved

If we now go back to our first equation,

x + y = 15

We can replace x with 7 and get

7 + y = 15

We can subtract 7 from both sides and maintain the equality and isolate y

7 - 7 + y = 15 - 7

Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8

y = 8

This means we have 8 Chickens since y represents chickens

Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens

Answer:

a. The fare for a 9-mile journey =  £ 10.6

Step-by-step explanation:

Fare = £2.50 + £0.90 x miles

Fare(9) = £2.50 + £0.90 x ( 9 miles) = £2.50 +  £ 8.1 =  £ 10.6

a. The fare for a 9-mile journey =  £ 10.6

Answer:

Step-by-step explanation:

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.

Here also, triangle ABC and triangle A'B'C' are equal only position is changed

Answer:

5/9×8/11 ............

Step-by-step explanation:

40/99

The product of (5/9) and (8/11) is 40/99.

To multiply the fractions (5/9) and (8/11), we simply multiply the numerators together and the denominators together:

(5/9) * (8/11) = (5 * 8) / (9 * 11)

The numerator becomes 40, and the denominator becomes 99.

Therefore, the product of (5/9) and (8/11) is 40/99.

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The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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Gradient is another word for slope.

Slope = rise/run = (y2-y1)/(x2-x1)

So pick 2 points.

Let's do line A first.

(1,1) and (2,4)

slope = (1-4)/(1-2)

= -3/-1 = 3

The slope (aka gradient) of line A = 3.

Line B.

(0,5) and (1,1)

slope = (5-1)/(0-1)

= 4/-1

= -4

The slope (aka gradient) of line B = -4.

Answer:

$66

Step-by-step explanation:

T=200-18W

where W is number of weeks

T=200-18(8)

T=200-144

T=66

The time taken to complete one of the later legs is (t - 9.72)/3

Total number of legs in a relay race = 4

total time taken = t

Last three legs are equal , Let the time taken for the later legs = x

The time taken can be related using the relation :

t = 3x + 9.72

To obtain the time for one of the later legs, make x the subject of the formula

subtract 9.72 from both sides in other to isolate 3x

3x + 9.72 - 9.72 = t - 9.72

3x = t - 9.72

Divide both sides by 3 in other to isolate x

x = (t - 9.72)/3

Hence, the time taken for one of the later legs is (t - 9.72)/3

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Answer:

The percentage increase equation is:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

The percentage increase = 11.97%

Step-by-step explanation:

Given

Starting Value  = 376

Final Value = 421

To determine

Percentage Increase =?

The percentage increase equation:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

                                  = [(421 - 376) / (376)] × 100

                                  = [45 / 376] × 100

                                  = 11.97%

Therefore, the percentage increase = 11.97%

Answer:

3700 kings

Step-by-step explanation: