The volume of a box is 400in3. if the height is 10in and the length is 8in, what is the width of the box (volume=l•w•h) 5in,
10in,
17in,
or 22in?​

Answers

Answer 1
Answer: 10•8=80
so something times 80 will equal 400
80•5=400

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. The box plot compares the monthly average temperature (in degrees Fahrenheit) recorded in the towns of Springwood and Meadows from April to October. Match each phrase to its correct value. the median of the temperatures at Springwood _______


the median of the temperatures at Meadows: ______


the interquartile range of the temperatures at Springwood:_______


the interquartile range of the temperatures at Meadows:_______


the difference of the medians as a multiple of their average interquartile range:_______

Answers

Hello,

The median of the temperatures at Springwood is 86. (median is at the middle).

the median of the temperatures at Meadows is 73. (median is at the middle).

The (IQR) interquartile range of the temperatures at Meadows is 12. (You have to subtract both of the IQR left and right 80 - 68 = 12).

The (IQR) interquartile range of the temperatures at Springwood is 14. (You have to subtract both of the IQR left and right 91 - 77 = 14).

the difference of the medians as a multiple of their average interquartile range is 79.5 is average median and 13 average IQR.

Answer: The median of the temperatures at Springwood is 86.    

The median of the temperatures at Meadows is 73.  

The interquartile range of the temperatures at Meadows is 12.  

The interquartile range of the temperatures at Springwood is 14.

The difference of the medians as a multiple of their average interquartile range as : Difference in medians = 13= 1 x 13

i.e. Difference in medians  = 1 x (Average interquartile range)

Step-by-step explanation:

In a box - whisker plot , the vertical line in box represents the median value.

The left end of box denotes Lower quartile and the right end of the box Upper quartile.

By considering the given picture,

For Meadows ,

Median = 73

The median of the temperatures at Meadows is 73.                           (1)

Lower quartile = 68

Upper quartile = 80

Interquartile range = Upper quartile- Lower quartile

Interquartile range=80-68 = 12

The interquartile range of the temperatures at Meadows is 12.     (2)

For Springwood,

Median = 86

The median of the temperatures at Springwood is 86.                 (3)

Lower quartile = 77

Upper quartile = 91

Interquartile range = Upper quartile- Lower quartile

= 91-77 = 14

The interquartile range of the temperatures at Springwood is 14.         (4)

Difference in medians = 86-73 = 13              [From (1) and (3)]

Average interquartile range = (12+14)/(2)=13    [From (2) and (4)]

The difference of the medians as a multiple of their average interquartile range as : Difference in medians = 13= 1 x 13

i.e. Difference in medians = 1 x (Average interquartile range)

What is the y-intercept of y=5?

Answers

The y-intercept of the line y = 5 is given as: 5

How to find the y-intercept?

The general form of the equation of the line in slope intercept form is expressed as:

y = mx + c

where:

m is slope

c is y-intercept

Now, we are told that the equation is y = 5

This tells us that the y-intercept is 5

Read more about y-intercept at: brainly.com/question/26249361

#SPJ6

Answer:

Step-by-step explanation:

the y-intercept is :  y=5

How do you get the answer for 820 decreased by 25%

Answers

So in this one, we are DECREASING by 25%, so we say 25% of 820...

25% × 820 =
.25 × 820 = 205

Now since we are decreasing by 25%, we take our answer and subtract it from the original amount, 820.

820 - 205 = 615

820 decreased by 25% is
615.

The sum of three consecutive even numbers is 78. what is the first number

Answers

This is a common algebra problem. Let us start by establishing the numbers. By the way, here is the theory behind the math. 

If we call the first number n, then the next consecutive even number is 2 away, so we will call it n+2, and so forth, the 3rd number n+4

Lets form an equation! We know that given the sum of the 3 consecutive even numbers is 78, the equation is:

n+(n+2)+(n+4)=78

Combine like terms, and we get: 

3n+6=78

Subtract 6 from both sides.

3n=72

Divide both sides by 3, and we find our number to be: 

n=24

Hope this helped! Good luck. 
x+(x+2)+(x+4)=78\n3x+6=78\n3x=78-6\n3x=72\n \nx= (72)/(3) \n \nx=24

The first number is 24

Just rationalize and simplify

Answers

\mathsf{Given :\;\;(√(a + 1) - 2)/(√(a + 1) + 2)}

\mathsf{Multiplying\;Numerator\;and\;Denominator\;with\;√(a + 1) - 2,\;We\;get :}

\mathsf{\implies ((√(a + 1) - 2)(√(a + 1) - 2))/((√(a + 1) + 2)(√(a + 1) - 2))}}

\mathsf{\implies ((√(a + 1) - 2)^2)/((√(a + 1))^2 - (2)^2)}}

\mathsf{\implies ((√(a + 1))^2 + (2)^2 - 2(√(a + 1))(2))/(a + 1 - 4)}}

\mathsf{\implies (a + 1 + 4 - 4√(a + 1))/(a + 1 - 4)}}

\mathsf{\implies (a + 5 - 4√(a + 1))/(a - 3)}}

Answer:

(a+5)-4√(a+1) /(a-3)

Step-by-step explanation:

√(a+1) - 2 / √(a+1) + 2

={√(a+1) - 2 }{√{(a+1) - 2 }  / {√(a+1) + 2} {√(a+1) - 2 }

={√(a+1) - 2 }² / {√(a+1)}² - 2²

=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4

=[a+1-4√(a+1)+4] / (a-3)

=(a+5)-4√(a+1) /(a-3)

How do you get 58% as a decimal

Answers

0.58 as a decimal     

0.58*100 = 58%
it would be 0.58,because 0.58*100=58 percent