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4vir4ik [10]
3 years ago
12

If the probability of getting a female is 30% and there are 18 females what is the total

Mathematics
1 answer:
Elza [17]3 years ago
6 0
You will get 5.4 which you would just round down and have 5 total 
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Calculus piecewise function. ​
Kipish [7]

Part A

The notation \lim_{x \to 2^{+}}f(x) means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows \lim_{x \to 2^{+}}f(x) = 2

Then for the left hand limit \lim_{x \to 2^{-}}f(x), we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, \lim_{x \to 2^{-}}f(x) = 1

===============================================================

Part B

Because \lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x) this means that the limit \lim_{x \to 2}f(x) does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

===============================================================

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

===============================================================

Part D

As mentioned earlier, since \lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3, this means the limit \lim_{x \to 4}f(x) does exist and it's equal to 3.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

4 0
1 year ago
The radius of one circle is three the time radius of another circle. The sum of their areas is 12pi. Find the radius of each cir
zlopas [31]
   
\displaystyle\\&#10;\begin{cases}&#10;R_1 = 3R_2\\&#10;\pi R_1^2 +\pi R_2^2=12\pi ~~~\Big|~~:\pi &#10;\end{cases} \\  \\ &#10;\begin{cases} &#10;R_1 = 3R_2\\&#10;R_1^2 + R_2^2=12 &#10;\end{cases} \\  \\ &#10;(3R_2)^2+ R_2^2=12 \\  \\ &#10;9R_2^2 + R_2^2=12 \\  \\ &#10;10R_2^2=12\\\\&#10;R_2^2 = \frac{12}{10} = \frac{6}{5}  \\  \\ &#10;R_2 =  \boxed{\sqrt{\frac{6}{5}} } \\  \\ &#10;R_1 = \boxed{3\sqrt{\frac{6}{5}} }



7 0
3 years ago
This graph represents the design of a child's slide. What is the slope of the slide
iren [92.7K]

Answer:

The slope is 1/2

Step-by-step explanation:

To get the slope, we select any two points on the line and apply the slope formula

The points are;

(5,4) and (9,6)

The formula for the slope is;

m = (y2-y1)/(x2-x1)

m = (6-4)/(9-5) = 2/4 = 1/2

7 0
2 years ago
An energy drink manufacturer wants to find out the effect of different amounts of their product on the maximum anaerobic power l
Licemer1 [7]

Answer:

An experimental study

Step-by-step explanation:

An experimental study should be used. This will enable the energy  drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.

5 0
3 years ago
2m^2 - 4m/ 2(m - 2) simplified
egoroff_w [7]

Answer:

=2m²-4m/2(m-2)

=2m(m-2)/2(m-2)

=m is the correct answer

5 0
3 years ago
Read 2 more answers
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