First find the numbers that are divisible by 3.
3, 6, 9, 12, 15, 18, 21, 24
There are 8 numbers divisible by 3 so there are 16 that are not divisible by 3.
P(not div by 3) = 16/24 = 2/3

3 0

3 years ago

Usqqe format HTH to mean that the first toss is heads, the second is tails and the third is heads more than one element in the s

Scrat [10]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: State the number of outcomes possible for three tossing of a coin

Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:

$\begin{gathered} 2^3=8 \\ 8\text{ outcomes} \end{gathered}$

STEP 2: Find the number of sample spaces for the three tosses

STEP 3: Get the outcomes of the events for which the second toss is tails

Hence, the answers are given as:

Sample Space:

$\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace$

The event that the second toss is tails:

$\lbrace HTH,HTT,TTH,TTT\rbrace$

4 0

1 year ago

Solve please!<br> 2(3√2)2(5+√2)

Dahasolnce [82]

$2\cdot3\sqer2\cdot2(5+\sqrt2)=(2\cdot3\cdot2)\sqrt2(5+\sqrt2)=12\sqrt2(5+\sqrt2)\\\\=60\sqrt2+12\sqrt{2^2}=60\sqrt2+12\cdot2=60\sqrt2+24$

3 0

3 years ago

What is the amplitude of sin ?

sp2606 [1]

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

$\displaystyle \large{ y = A \sin(bx - c) + d}$

A = amplitude
b = period = 2π/b
c = horizontal shift
d = vertical shift

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

$\displaystyle \large{y = 2 \sin x}$

Refer to the equation above:

Amplitude = 2
b = 1 and therefore, period = 2π/1 = 2π
c = 0
d = 0

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

6 0

3 years ago