A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.


Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55


How many employees took a break that lasted between 37 and 41 minutes?


Select from the drop-down menu to correctly complete the statement.


About (blank) employees took a break that lasted between 37 and 41 minutes.

Answer:

The probability of a correct guess on the first try is 0.024%.

Since a thief steals an atm card and must randomly guess the correct four -digit pin code from a 8 -key keypad, and repetition of digits is allowed, to determine what is the probability of a correct guess on the first try the following calculation must be performed:

8 x 8 x 8 x 8 = X

8 ^ 4 = X

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 x 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%

Step-by-step explanation:

Answer:

3cm

Step-by-step explanation:

V = L * W * H

V = 10 * W * 4

10 * 4 = 40

120 / 40 = 3

W = 3

Answer:

Code: AHAN

Step-by-step explanation:

Domain: 0 to 8.

Range: 0 to 18.

0 is A.

H is 8.

N is 18.

Answer:

3/10

Step-by-step explanation=

Total amount of books in her bag = 10

Total amount of Japanese books in bag = 3

So you have a 3 out of 10 chance of choosing a Japanese book

Also, this problem was trying to confuse you with all the extra wording

Here is the important information in bold

Shirley has 5 novels and 5 comic books in her bag.

Three of her books are in Japanese, 2 of which are

comic books. The rest of her books are in English.

If a book is chosen at random from her bag, find

the probability of choosing

(((i) a book in Japanese))))-question

Divide the box into two parts for easy way answer

For cube:-

TSA

Cancel one side area

For triangular pyramid:-

Area of one base

Area of four sides=90(4)=360cm^2

Answer:

1080 cm^2

Step-by-step explanation:

∴ Given:

Graham carves a block of wood shaped like a cube with a square pyramid on top.

∴To Find:

How much paint will Graham need to paint the toy?

∴Solve:

Base on the given:

[tex]S=5a^2+4ah\cdot\frac{1}{2}[/tex]

= [tex]5\cdot12^2+4\cdot12\cdot15\cdot\frac{1}{2}[/tex]

[tex]=1080cm^2[/tex]

Hence [tex]1080cm^2[/tex] of paint is needed.

~lenvy~

Answer:

Step-by-step explanation:

let the eq. be

y=a(x-2)(x-4)+b

x=0,y=-2

-2=a(0-2)(0-4)+b

-2=8a+b

when x=6,y=-2

-2=a(6-2)(6-4)+b

-2=8a+b

when x=8,y=-6

-6=a(8-2)(8-4)+b

-6=24a+b

16a=-4

a=-1/4

-2=-2+b

b=0

y=-1/4(x-2)(x-4)

y=-1/4(x^2-6x+8)

y=-1/4x^2+3/2x -2

when x=1

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

y=-3/4

Answer:

  (b)  0.3 microns or larger

Step-by-step explanation:

A particle of size 0.3 microns is judged to be the most penetrating particle size. So, a rating for the filtering of those particles will be a worst-case rating. For particles of any other size, the filter will perform better than for 0.3 micron particles. HEPA filters are rated based on their performance with particles ...

  0.3 microns or larger

Step-by-step explanation:

the area is the sum of the top square of 9×9 and the bottom parallelogram.

we know the length of the parallelogram is still also the square side length : 9ft.

but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is

baseline × height

and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.

so, the area of the square is

9×9 = 81 ft²

the area of the parallelogram is

9×5 = 45 ft²

the total area is then

81 + 45 = 126 ft²

Answer:

Step-by-step explanation:

We can think of this problem like a triangle that Tom, Blair, and Marcia live in.

This triangle is a right triangle.

the opposite is 3, the hypotenuse is 7, and the adjacent side is unknown.

Solving for the adjacent side will give us the distance that Tom and Blair live from each other

a^2 +b^2 = c^2

3^2 + b^2= 7^2

Now we solve for B

7^2 =49

3^3=9

9+b^2=49

Now we subtract

49-9=40

9+40=49

The square root of 40 is 6.3246

Now we check our work

3^2 +6.32^2=7^2

9+ 40 =49

The answer is, tom and Blair live approximately 6.3246 blocks from each other

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Consider the number as x

let's solve ~

[tex]\qquad \sf  \dashrightarrow \:6(x + 20) = 26[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + 120 = 26[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x = - 120 + 26[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x = -94[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 94 \div 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 47}{3} [/tex]

・ ．━━━━━━━†━━━━━━━━━．・

Answer:

[tex](x + 20) 6 = 26[/tex]

[tex]6x + 120 = 26[/tex]

[tex]6x = 26 - 120[/tex]

[tex]6x = - 94[/tex]

[tex] \displaystyle \: x = \frac{ - 94}{6} [/tex]

[tex] \displaystyle{x = \frac{ - 47}{3} }[/tex]

[tex]\red {\rule{35pt}{2pt}} \green{ \rule{35pt}{2pt}}\orange{ \rule{35pt}{2pt}}\pink{ \rule{35pt}{2pt}}\blue{ \rule{35pt}{2pt}}\purple{ \rule{35pt}{2pt}}\red{ \rule{35pt}{2pt}}[/tex]

[tex] \bold{ \displaystyle{x = - \frac{47}{3} }}[/tex]

Answer:

The common denominator of 5/8 and 5/4 is 8.

4×2 is 8 and 5/8 already has a denominator of 8

The common denominator of two fractions 5/8 and 5/4 is 8.

A number system is defined as a system of writing to express numbers.

To find a common denominator for 5/8 and 5/4, we need to find the least common multiple (LCM) of the denominators 8 and 4.

The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...

We can see that the least common multiple of 8 and 4 is 8, since 8 is the smallest number that appears in both lists.

To convert 5/8 to an equivalent fraction with denominator 8, we can multiply both the numerator and the denominator by 1, which is equivalent to multiplying by 8/8

Hence, the common denominator of two fractions 5/8 and 5/4 is 8.

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[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Before answering the given question, you should know the difference between polygon and regular polygon.

There are different types of polygon based on the sides :-

I have thought to make a 4 side polygon that is quadrilateral.

Steps of construction :-

Result :- All the angles are equal that is 90° each.

Conclusion :- The above figure is square as it is having equal sides and angles.

Here,

Therefore,

The sum of the angles of the given polygon

[tex]\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 270{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 360{\degree} }[/tex]

Hence, The sum of the angles of the above polygon is 360° .

Answer:

Step-by-step explanation:

assume that [tex]y=\sqrt{x}[/tex] is [tex]f(x)=\sqrt{x}[/tex] and [tex]y=\sqrt{-2x+6}+3[/tex] is

[tex]g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3[/tex]

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

[tex]y=a\sqrt{x-h}+k[/tex]

factor a 1 out of the absolute value to make the coefficient of x equal to 1

[tex]y=\sqrt{x}[/tex]

factor a 2 out of the absolute value to make the coefficient of x equal to 1

[tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]

find a, h and k for [tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]

[tex]a=1.41421356\\ h=3\\k=3[/tex]

the horizontal shift depends on the value of h when [tex]h > 0[/tex], the horizontal shift is described as:

[tex]g(x)=f(x+h)[/tex] - the graph is shifted to the left h units

[tex]g(x)=f(x-h)\\[/tex] - the graph is shifted to the right h units

the vertical shift depends on the value of k

Answer:

less than

Step-by-step explanation:

At Box-r-us, they have 3*4*5=60 different boxes.

At Ship to go they have 6*2*7=84 different boxes

Therefore the number of boxes that box r us has is less than the number of boxes that Ship to go has.

Answer:

see explanation

Step-by-step explanation:

look at the photo

Answer:

Final grade:  93.9%

Step-by-step explanation:

The weights are as follows:  0.25, 0.10, 0.30 and 0.35.  Note that these add up to the whole, that is, to 1.00.

Then the final grade is:

0.25(94) + 0.10(99) + 0.30(92) + 0.35(94) = 93.9

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Answer:

Average: a calculated "central" value of a set of numbers

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

How to find it in the average:

Add all of the numbers given, then divide by the number of digits.

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Example:

Question 1. ) Find the average of the digits.

10, 12, 7, 9, 14, 8, 5, 19

Step 1. Add all of the numbers - 70

Step 2. Count how many different numbers there are - 8

Step 3. Take your first answer and your second and divide them

Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average

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

Answer: Range: 24, interquartile range: 8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Find the least common multiple of those two denominators, which would be 2 and 4.

Then do LCM of 2 and 4 and that should be 4.

Answer:

x =10

Step-by-step explanation:

30:12 is a 2.5 ratio so the smaller one is 2.5x smaller so 25/x = 2.5 or 25/2.5 = x = 10

Step-by-step explanation:

let, the tulips be 'x'

According to the question,

heather=4x

& sarah=x

but heather planted 64 so,

4x=64

or, x=64/4

x=16

hence, sarah planted 16 tulips

Heather planted 4x Sarah's tulips. On the off chance that Heather has 64 tulips, Sarah has 16 tulips (64/4 = 16).

Let's utilize algebra to illuminate this issue. Let s speak to the number of tulips Sarah planted.

Concurring to the data given, Heather planted 4 times as numerous tulips as Sarah, so we will compose this as:

Heather's tulips = 4 * Sarah's tulips

64 = 4s

Presently, ready to fathom for s:

s = 64 / 4

s = 16

Sarah planted 16 tulips.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x - 1) = \pm4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]

Answer:

10 6/25

Step-by-step explanation:

"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.

Then "three and one fifth" of 1 1/2 is:

3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25

The expected value for the player by participating in the game of the deck of cards is $0.50.

The expected value is the payoff that is expected less the cost of the game.

Expected value =  total benefits of the game - cost

(fraction of face cards x payoff of picking a face card) + 0 - $1

(12/52 x 7) - $1 = $0.50

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Answer:

12 ft by 40 ft

Step-by-step explanation:

Let L represent the length and W the width.  Then L = 3W + 4.

The perimeter formula is P = 2L + 2W or P = 2(L + W).

Substituting 104 ft for P, we get 104 ft = 2(L + W), which reduces to

52 ft = L + W, or 52 ft = 3W + 4 + W.

Therefore, 52 ft = 4W + 4.  

Solving this for W, we get 48 ft = 4W, or W = 12 ft.

Then, because L = 3W + 4, L = 3(12 ft) + 4 = 40 ft = L

The dimensions of the garden are 12 ft by 40 ft.

The Greyhound bus going to Michigan leaves the station every 20 minutes.

it's 10:40

so next departure on 10:60 => 11:00 then 11:20 then 11:40...

Another bus going to Arkansas leaves the station every 40 minutes.

it is 10:40

so next departure on 11:20 then 12:00

=> 11:20

light and heat

Step-by-step explanation:

all stars in general produce light and heat