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Karolina [17]
1 year ago
14

Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80

own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.
2/14

5/21

3/28

4/29
Mathematics
1 answer:
rosijanka [135]1 year ago
7 0
<span>If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

The answer is the fourth choice 4/29.


I hope my answer has come to your help. God bless and have a nice day ahead!

</span>
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A mouse traveled a total distance of 3/24 of a mile in a maze over the past three hours the mouse travel the same distance each
alexgriva [62]

Answer:

Total distance mouse traveled in 3 hours = \frac{3}{24} of a mile

The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.

So, the distance traveled in one hour will be = \frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24} of a mile

The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.

Correct conclusion will be: Mouse travel 1/24 of a mile each hour

8 0
2 years ago
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
Lubov Fominskaja [6]
<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

Substituting values:

V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

4 0
2 years ago
Read 3 more answers
What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)A–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5B–6x4y 
saul85 [17]

We have to calculate the difference of the given polynomials, we follows as:

(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-(6x^{4}y-5x^{2}y^{3}-y^{5})

After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.

=(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-6x^{4}y+5x^{2}y^{3}+y^{5})

Combining all the like terms, we get as

=(-2x^{3}y^{2})+(4x^{2}y^{3}+5x^{2}y^{3})-3xy^{4}-6x^{4}y+y^{5}

=-2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}-6x^{4}y+y^{5}

Option A is the correct answer.

6 0
2 years ago
Read 2 more answers
Lisa is 10 centimeters taller than her friend Ian. Ian is 14 centimeters taller than Jim. Every month, their heights increase by
bekas [8.4K]
Let Lisa's height be x, Ian's be y and Jim's be z
x = 10 + y . . . (1)
y = 14 + z . . . (2)
y + 14 + z + 14 = 170 + x + 14
y + z - x = 170 + 14 - 28 = 156 . . . (3)
From (2), z = y - 14 . . . (4)
Putting (1) and (4) into (3) gives,
y + y - 14 - 10 - y = 156
y = 156 + 24 = 180

Therefore, Ian's height is 180 centimeters
5 0
2 years ago
A number x, rounded to 1 decimal place is 12.3 write down the error interval for x
icang [17]
We know that
<span>A number x, rounded to 1 decimal place is 12.3
</span><span>so
x>=12.25
and
x < 12.35

</span><span>the error interval for x is the interval [12.25,12.35)
</span>
the answer is
[12.25,12.35)


3 0
2 years ago
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