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Pie
3 years ago
6

If events X and Y are independent, what must be true? Check all that apply.

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

Step-by-step explanation:

I think this was cut off, the options aren't full.

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Find x.<br><br> See attached picture.
pishuonlain [190]

Answer:

B. 22

Step-by-step explanation:

We know tan60=

\sqrt{3}

Let common side be x

Tan = opp/adj= sqrt(3)

\frac{11 \sqrt{6} }{x}  =  \sqrt{3}

Transposing we get :

\frac{11 \sqrt{6} }{ \sqrt{3}}  = x = 11 \sqrt{2}

Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.

Solve for x by using Pythagorean theorem:

\sqrt((11 \sqrt{2}^{2}   + (11 \sqrt{2} )^{2} ) = x

=  > \sqrt{2(11 \times 11 \times  \sqrt{2}  \times \sqrt{2}) }  = x

=  >  \sqrt{484}  = x = 22

Hence answer is B. 22

3 0
2 years ago
How do you solve this equation: 18k - 4k = -10 -4k
hammer [34]
18k - 4k = -10 - 4k
18k - 4k + 4k = -10
18k = -10
k= (18/10) = (9/5) = 1.8
5 0
3 years ago
Read 2 more answers
Finley makes one batch of orange paint using 5 years of yellow paint and beavers in red paint if there's 15 L of rep and how man
stira [4]

Given :

Finley makes one batch of orange paint using 5 L of yellow paint.

To Find :

How many batches of orange paint she can make using 15 L of yellow paint.

Solution :

We need to find how many batches of orange paint she can make using 15 L of yellow paint.

Now , 1 batch requires 5 L of yellow paint .

So , 15 L of paint will make 3 batches .

Let , number of batches be N .

N=1 \times\dfrac{15}{5}\ batches\\\\N=3\ batches

Therefore, number of batches produced is 3 .

Hence, this is the required solution .

4 0
3 years ago
Corey invested $1500 when he was a freshman in order to save for college. If he chooses to invest it in an account that earns 3.
Tcecarenko [31]

Answer: He will have $1721.28. after 4 years.

Step-by-step explanation:

The formula we use to find the compounded amount A is :

A=P(1+r)^t, where P= principal value, r = rate of interest , t= time.

As per given , we have

P=$1500  , r=3.5%=0.035 , t= 4 years

Money he will have after 4 years = 1500(1+0.035)^4

=1500(1.035)^4\\\\=1721.28450094\approx1721.28

Hence, he will have $1721.28. after 4 years.

4 0
3 years ago
Write the expression that shows three times the sixth power of 10
german
3*10^6
Three * 10 to the power of 6
4 0
3 years ago
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