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Misha Larkins [42]
3 years ago
9

Find the value of sin 0cos(90°- 0) + cos 0 sin(90°-0)​

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Step-by-step explanation:

sin \theta \: cos(90 \degree - \theta) + cos \theta \: sin(90 \degree - \theta) \\  = sin(\theta + 90 \degree - \theta) \\  = sin(90 \degree)  \\  = 1

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Nine tiles are numbered $\color[rgb]{0.35,0.35,0.35}1, 2, 3, \ldots, 9$. Each of three players randomly selects and keeps three
Eduardwww [97]

The probability that all three players obtain an odd sum is 3/14.

<h3>What is probability?</h3>

The probability is the ratio of possible distributions to the total distributions.

I.e.,

Probability = (possible distributions)/(total distributions)

<h3>Calculation:</h3>

Given that,

There are nine tiles - 1, 2, 3,...9, respectively.

A player must have an odd number of odd tiles to get an odd sum. That means he can either have three odd tiles, or two even tiles and an odd tile.

In the given nine tiles the number of odd tiles = 5 and the number of even tiles = 4.

The only possibility is that one player gets 3 odd tiles and the other two players get 2 even tiles and 1 odd tile.

So,

One player can be selected in ^3C_1  ways.

The 3 odd tiles out of 5 can be selected in ^5C_3 ways.

The remaining 2 odd tiles can be selected and distributed in ^2C_1 ways.

The remaining 4 even tiles can be equally distributed in \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !} ways.

So, the possible distributions = ^3C_1 × ^5C_3 × ^2C_1 × \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !}

⇒ 3 × 10 × 2 × 6 = 360

To find the total distributions,

The first player needs 3 tiles from the 9 tiles in ^9C3=84 ways

The second player needs 3 tiles from the remaining 6 tiles in ^6C_3=20 ways

The third player takes the remaining tiles in 1 way.

So, the total distributions = 84 × 20 × 1 = 1680

Therefore, the required probability = (possible distributions)/(total distributions)

⇒ Probability = 360/1680 = 3/14.

So, the required probability for the three players to obtain an odd sum is 3/14.

Learn more about the probability of distributions here:

brainly.com/question/2500166

#SPJ4

3 0
1 year ago
-----------------------------
butalik [34]
Where's the question?
8 0
3 years ago
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures
serious [3.7K]

Answer:

the third angle= 180-x-(4x+15)

Step-by-step explanation:

if we subtract the two other angles the result will be the measure of the last one

4 0
3 years ago
As a reward Leo will get an additional 25% added to his regular allowance. If the reward is $5.00, what is his regular allowance
I am Lyosha [343]
#1: $6.25
5.00 + 25%

#2: $3.75
5.00 - 25%
8 0
2 years ago
What is the center of the data?
satela [25.4K]

Answer:

Median = 13

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

n = 13 --- number of observation

So, the median is:

Median = \frac{n + 1}{2}

Median = \frac{13 + 1}{2}

Median = \frac{14}{2}

Median = 7th

The median is at the 7th position

At the  7th position, is 13

Hence:

Median = 13

5 0
2 years ago
Read 2 more answers
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