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sergij07 [2.7K]
3 years ago
7

1. In a New York Times poll, 812 respondents were asked if it should be legal or illegal to send a

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer:

a) p(E)=8/812=2/203

b)p(E)=804/812=201/203

You might be interested in
Evaluate 1 1/4 x 6 giving your answer as a mixed number in simplest form.
Genrish500 [490]

Answer:

7 1/2

Step-by-step explanation:

First remember the rule to multiply fractions, you gots to have fractions; so convert 1 1/4 into a mixed number. To do this, multiply 1 by 4, then add 1. It equals 5/4.

Next multiply 5/4 by 6. You can "cross simplify" to make this problem easier and you will the the simplest form. To cross simplify, divide 6 and 4 by 2. The new thing is 5/2 times 3. This equals 15/2.

Divide but don't turn into decimal. 7 remainder 1 the divisor is 2.

Put them together 7 1/2

Final answer 7 1/2

Hope this helps

7 0
3 years ago
For the right triangles below, find the exact values of the side lengths and .
konstantin123 [22]

Answer:

c=\frac{2\sqrt{3}}{3}

h=3\sqrt{2}

Step-by-step explanation:

Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.

c=\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}

h=3\sqrt{2}

5 0
3 years ago
A vessel sails 41 miles S 35° E. How far south has it sailed?
const2013 [10]

Option A: The vessel has sailed 34 miles South

Explanation:

Given that the vessel sails 41 miles S 35° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

cos \ \theta=\frac{adj}{hyp}

Substituting \theta=35^{\circ} , adj=x and hyp=41

Hence, we get,

cos \ 35=\frac{x}{41}

Simplifying, we have,

0.82=\frac{x}{41}

Multiplying both sides by 41, we have,

33.62=x

Rounding off to the nearest integer, we have,

34=x

Thus, the vessel has sailed 34 miles South.

Therefore, Option B is the correct answer.

6 0
3 years ago
(?,5) is on the line 4x-7y=1. Find the other half of the coordinate.
ludmilkaskok [199]
The coordinate is an ordered pair (x,y). We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

4x-7y=1\\4x-7(5)=1\\4x=36\\x=9

(9,5)
8 0
3 years ago
The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

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

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

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
7 0
2 years ago
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