MATHEMATICS COLLEGE

Which of the following statements is not​ true? A. If the probability of an event occurring is​ 1.5, then it is certain that event will occur. B. If the probability of an event occurring is​ 0, then it is impossible for that event to occur.

Answers

Answer 1
Answer:

Answer:

Therefore, we conclude that the statement in (A) is incorrect.

Step-by-step explanation:

We have the following sentences:

A) If the probability of an event occurring is​ 1.5, then it is certain that event will occur.  

B) If the probability of an event occurring is​ 0, then it is impossible for that event to occur.

We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that  is equal to 1.5.

Therefore, we conclude that the statement in (A) is incorrect.

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Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.a. In words, define the random variable X.
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Answers

Answer:

a) Random Variable - The value of this variable occur according to the frequency distribution

b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots

c) Distribution  1 to 13

d) Without replacement

Step-by-step explanation:

a) Random Variable - The value of this variable occur according to the frequency distribution

b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots

c) Distribution  1 to 13

d) Without replacement

In the diagram above, Z1 = 40°.
Find the measure of Z2.
Z2 = [?]°

Answers

Answer:

40 = <2

Step-by-step explanation:

<1 and  <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<1 = <2

40 = <2
Angle 2 is 40° according to the corresponding angles theorem

1. 2x2 + 3xy + 3xy is equivalent to

Answers

Answer:

2x2+6xy

Step-by-step explanation:

  • 2x2+3xy+3xy
  • Combine like terms, 2x2+6xy

3x+7x−28+31−8x for x=2043
Simplified expression-?
Value-?

Answers

The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the Simplifying Expression is 4089.

The given expression is 3x + 7x - 28 + 31 - 8x.

To simplify the expression, we first group together the like terms.

Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).

This simplifies further to 2x + 3.

Next, to find the value of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.

Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.

Learn more about Simplifying Expression here:

brainly.com/question/36385368

#SPJ3
The answer is 16347 hope this helps

Find an equation of the sphere with center (-3, 2 , 5) and radius 4. What is the intersection of this sphere with the yz-plane.

Answers

Answer:

The equation of the sphere with center (-3, 2 , 5) and radius 4 is (x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16

The intersection of the sphere with the yz- plane gave the equation (y-2)^(2) + (z-5)^(2) = 7 which is a 2D- circle with center (0,2,5) and radius √(7).

Step-by-step explanation:

The equation of a sphere of radius r, with center (a,b,c) is given by

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

where, x,y, and z are the coordinates of the points on the surface of the sphere.

Hence, the equation of the sphere with center,  (-3, 2 , 5) and radius 4 becomes

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

(x-(-3))^(2) +(y-(2))^(2) + (z-(5))^(2) = 4^(2)

Then,

(x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16

This is the equation of the sphere with center (-3, 2 , 5) and radius 4,

Now, for the intersection of this sphere with the yz- plane,

The yz -plane is where x = 0, then we set x = 0

Them the equation (x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16 becomes

(0+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16

(3)^(2) +(y-2)^(2) + (z-5)^(2) = 16\n9 +(y-2)^(2) + (z-5)^(2) = 16\n(y-2)^(2) + (z-5)^(2) = 16 - 9\n(y-2)^(2) + (z-5)^(2) = 7

This equation is the equation of a 2D- circle with center (0,2,5) and radius √(7)

This is the part of the sphere that intersects with the yz-plane.

Multiply.
(2x+1)(6x2+8x+9)

Answers

Answer: 12x^ 3 + 22x^ 2 +26x + 9
16x^2 +50x+21 is the answer to your question.
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