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Hatshy [7]
4 years ago
8

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ecomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning.
Mathematics
1 answer:
liubo4ka [24]4 years ago
8 0
(x/(2x))+((2*3)/(2x))=3/4
(x+6)/2x=3/4
4x+24=6x
24=2x
x=12
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A consumer advocacy group tested the "on-air" lifetimes a random sample of 241 cell phone batteries. The mean lifetime was 3.2 h
snow_tiger [21]

Using the Empirical Rule, it is found that 229 batteries have lifetimes between 3.0 hours and 3.4 hours.

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

By the Empirical Rule, in a normal variable: 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.

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

  • Mean of 3.2 hours with a standard deviation of 0.2 hours.

3 = 3.2 - 2(0.1)

3.4 = 3.2 + 2(0.1)

  • Thus, between 3 and 3.4 hours is <u>within 2 standard deviations of the mean</u>, which is 95%.
  • Out of 241 batteries: 0.95(241) = 229

229 batteries have lifetimes between 3.0 hours and 3.4 hours.

A similar problem is given at brainly.com/question/24552083

4 0
3 years ago
the height of the smaller box is 80% of the height of the larger box, while the other two dimensions are the same for both boxes
Bogdan [553]
Let
z-----------> t<span>he height of the larger box
x-----------> the length side of the box (smaller and larger box)
y-----------> t</span>he width side of the box (smaller and larger box)<span>

volume larger box=x*y*z
</span>volume smaller box=x*y*(0.80z)----> 0.80[x*y*z]

the difference in the volume of these two boxes=[x*y*z]*(1-0.80)
the difference in the volume of these two boxes=0.20*[x*y*z]

<span>The height of the smaller box is 12 in
</span>so 
z*0.8=12--------> z=12/0.8---------> z=15 in
x=7 3/4 in--------> (7*4+3)/4---------> 31/4 in
y= 2 in

the difference in the volume of these two boxes=0.20*[(31/4)*2*15]
the difference in the volume of these two boxes=46.5 in³

the answer is
46.5 in³
7 0
4 years ago
Read 2 more answers
A shirt cost $18.99 with a 6.5% sales tax. What is the final cost?
velikii [3]

Answer:

$20.22

Step-by-step explanation:

You multiply 18.99 with 0.065 to see how much extra money you have to pay. Then you add it back to 18.99 for the final cost.    

3 0
3 years ago
30 is 60% of <br><br> I need an explanation
Ray Of Light [21]

Answer:

50

Step-by-step explanation:

x=30/0.6 = 50

3 0
3 years ago
Read 2 more answers
Which of the following is a set in correct set notation?(1,2,3){4,5,6} the letters of the alphabet 7,8,9
Tomtit [17]

Answer: {4,5,6}

Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.

In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.

7 0
3 years ago
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