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2 years ago

A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Mathematics

1 answer:

Ket [755]2 years ago

7 0

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5

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One of the fastest times ever recorded for the 50 yard dash is 5.2 seconds. The following expression

igomit [66]

Answer:

Option (1)

Step-by-step explanation:

Fastest time recorded = 50 yards dash is 5.2 seconds.

To convert this time into the rate of miles per hour, expression to be used will be,

$\frac{50\text{yd}}{5.2\text{sec}}\times \frac{3\text{ft}}{1\text{yd}}\times \frac{1\text{ mile}}{5280\text{ft}}\times \frac{60\text{sec}}{1\text{min}}\times \frac{60\text{min}}{1\text{hr}}$

By cancelling common term in the numerator and denominator in the given expression we will get the answer in miles per hour.

Therefore, Option (1) will be the correct option.

6 0

2 years ago

On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let X denote delivery time of the mail delivered by Alice and Y denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, p = 1/4.

The probability that Bob delivers the mail is, q = 3/4.

The probability density function of a Uniform distribution with parameters [a, b] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

5 0

2 years ago

A circular pond has a radius of 10 meters there is an average of 2 frogs per square meter in the pond approximately how many fro

Y_Kistochka [10]

First, we need to find the area of the pond.
The formula for the area of a circle is: 3.14r^2
So, first of all, the radius is 10, and we need to square that, so 10 x 10 = 100.
There. Now, with the squared radius, we need to multiply that by pi.
100 x 3.14 = 314.
The area of the pond is 314 square meters.
Secondly, we need to find the number of frogs. If there are 2 frogs in each square meter, then 2 x 314 = 628.
There are 628 frogs in the pond.

8 0

2 years ago

Una fabrica produce 132 litros de yogurt diarios .Con 49 litros se llenan botellas de 0,25litros xada una y con el resto que que

nordsb [41]

Answer:

$z = 362\,botellas$