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Marizza181 [45]
4 years ago
6

Find the value of x.

Mathematics
2 answers:
alexgriva [62]4 years ago
8 0

Answer:

x = 4\sqrt{2}

Step-by-step explanation:

note the exact value of tan60° = \sqrt{3}

Since the triangle is right use the tangent ratio to find x

tan60° = \frac{opposite}{adjacent} = \frac{4\sqrt{6} }{x}

multiply both sides by x

x × \sqrt{3} = 4\sqrt{6}

divide both sides by \sqrt{3}

x = \frac{4\sqrt{6} }{\sqrt{3} }= 4 × \sqrt{\frac{6}{3} } = 4\sqrt{2}


BARSIC [14]4 years ago
8 0
4 square 2 is the best answer...................
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Thirty percent of all customers who enter a store will make a purchase. suppose that six customers enter the store and that thes
Novosadov [1.4K]
Using binomial distrubution,
p=0.30
P(X=x) = C(n,x)p^x (1-p)^{n-x}
where
C(n,x)=\frac{n!}{x!(n-x)!}

(1) exactly x=5 customers out of n=6 make purchase
P(X=x)=C(n,x)p^x (1-p)^{n-x}
P(X=5)=C(6,5)(0.3)^5 (0.7)^{6-5}
=6*0.00243*0.7
=0.10206

(2) at least three customers make a purchase
P(X\ge 3)=\sum_{i=3}^{6}C(6,i)(0.3)^i (1-0.3)^{6-i}
=0.185220+0.059535+0.010206+0.000729=0.255690
(3) Two or less customers make purchase
Similarly, using binomial distribution
P(X\le2)=\sum_{i=3}^{6}C(6,i)(0.3)^i(1-0.3)^{6-i}
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In fact, we do not need to use the binomial distribution to find the answer.
From results in (2), we have
P(X<=2)=1-P(X>=3)=1-0.255690=0.744310

(4) At least one customer makes a purchase
Use the same formulas above for P(X>=1)
Here we will just use
P(X>=1) 
= 1- P(X<1)
= 1-P(X=0)
1-P(X=0)=1-C(6,0)(0.3)^0 (1-0.3)^{6-0} 
=1-0.117649
=0.882351


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4 years ago
One body of water covers approximately 70 million square miles. another covers approximately 36 million square miles. what perce
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The percent of the area covered by the first sea is covered by the second is approximately 51.43%. To solve this, you simply divide the area of the first sea (70 million) by the area of the second (36 million). This looks like this: 36000000/70000000. To simplify, you use the ratio 36/70, which will get you the same answer. 
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Need help asap, need to find x, y, z
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Step-by-step explanation:

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2y + 23 + 3 sq(z) -5 = 180 supplementary angle

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Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )
Aleksandr-060686 [28]

The equation of the circle is (x+3)^{2}+(y-3)^{2}=37

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

<u>Center:</u>

The center of the circle can be determined using the midpoint formula,

Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

Center=(\frac{-4-2}{2},\frac{9-3}{2})

Center=(\frac{-6}{2},\frac{6}{2})

Center=(-3,3)

Thus, the center of the circle is (-3,3)

<u>Radius:</u>

The radius of the circle can be determined using the distance formula,

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Substituting the center (-3,3) and the endpoint (-4,9), we get,

r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}

r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}

r=\sqrt{1+36}

r=\sqrt{37}

Thus, the radius of the circle is \sqrt{37}

<u>Equation of the circle:</u>

The standard form of the equation of the circle is given by

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a,b) is the center and r is the radius.

Substituting the values, we have,

(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}

(x+3)^{2}+(y-3)^{2}=37

Thus, the equation of the circle is (x+3)^{2}+(y-3)^{2}=37

7 0
3 years ago
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