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Sedbober [7]
2 years ago
13

Trig question easy answer for 15 points

Mathematics
1 answer:
sattari [20]2 years ago
4 0

Answer:

x =  \boxed{10}

Step-by-step explanation:

\sin(60)  =  \frac{x}{12}  \\ x = 12 \sin(60)  \\ x = 12(0.8660254038) = 10.4

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Solve for system of equations<br> −3y−4x=−11<br> 3y−5x=−61<br> ​
Firlakuza [10]
X= 8
Y= -7

If you use elimination:

–3y–4x=–11
3y–5x=–61

Add the two equations and get

–9x=–72

Divide by –9 on both sides

X=8

Substitute 8 in for x

–3y–4(8)=–11

Simplify

–3y–32=–11

Add 32 on both sides

–3y=21

Divide by –3 on both sides

Y=–7
6 0
3 years ago
Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! pos
m_a_m_a [10]

Answer:

P(X=1)=\frac{1}{2}\\P(X=2)=\frac{5}{18}\\P(X=3)=\frac{5}{36}\\P(X=4)=\frac{5}{84}\\P(X=5)=\frac{5}{252}\\P(X=6)=\frac{1}{252} \\P(X>6)=0

Step-by-step explanation:

Let's define the following event :

X : ''Highest ranking achieved by a woman''

There are five men and five women so the lowest ranking possible is 6, this means that all five men achieved a better ranking than all five women.

In terms of the variable :

X can assume the following values :

X=1\\X=2\\X=3\\X=4\\X=5\\X=6

⇒ P(X=7)=0\\P(X=8)=0\\P(X=9)=0\\P(X=10)=0

⇒ P(X>6)=0

Now let's calculate the probability function for X

P(X=1)=\frac{(5)(9!)}{(10!)}=0.5=\frac{1}{2}

We write on the denominator the total ways to arrange ten different persons in a line. This number is 10!

On the numerator we write the total cases in which the first person is a woman ⇒ (5).(9!)

Because they are five different women and when you pick one of then they are 9! ways to arrange the 9 remaining persons

Following this logic, we continue calculating the probability function :

P(X=2)=\frac{(5)(5)(8!)}{(10!)}=\frac{5}{18}

Again : Five different ways to choose between the five men in the first position.Then, 5 different ways to choose between the five women.And finally, 8! ways to arrange the remaining persons

P(X=3)=\frac{(5)(4)(5)(7!)}{(10!)}=\frac{5}{36}

Here we have : five different ways to choose between five men.Four different ways to choose between the four remaining men.Five different ways to choose between the five women for the third position and finally 7! ways to arrange the remaining persons.

P(X=4)=\frac{(5)(4)(3)(5)(6!)}{(10!)}=\frac{5}{84}

P(X=5)=\frac{(5)(4)(3)(2)(5)(5!)}{(10!)}=\frac{5}{252}

P(X=6)=\frac{(5)(4)(3)(2)(1)(5)(4!)}{(10!)}=\frac{1}{252}

3 0
3 years ago
What place value does 6 have in 12.6?
MrMuchimi
The plc as value of 6 in12.6 is the tenths place
8 0
3 years ago
Read 2 more answers
Mr. Fernandez is mixing soil for his garden. He wants the soil to be in the
Alex17521 [72]

Answer:

0.4 to 1

Step-by-step explanation:

2 1/2=2.5

you do 1 divided by 2.5 or 1/2.5 and you get 0.4 then add the unit rate of 1.

3 0
2 years ago
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
jekas [21]

Answer: The answer is 27

Given:

  • Mr. Roberts will drive 56 miles
  • He has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

<em> Equation: </em>\mathrm {56 - 29 = 27}

Our answer is 27. Best of Luck!

7 0
2 years ago
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