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Alexandra [31]
3 years ago
8

What’s the correct answer for this?

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Answer:

A.

Step-by-step Explanation:

P(A or B) = P(A)+P(B)-P(A and B)

Now

Putting the givens

0.68 = 0.2 + P(B) - 0.12

P(B) = 0.68 - 0.2 +0.12

P(B) = 0.6

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Which value of a will the equation 3x - 2 = 3x - a have an infinite number of solutions?
Dmitrij [34]
It’s A number 2....................../
7 0
3 years ago
Fins the zeros, multiplicity, and effect on the graph of the function in
tekilochka [14]

Answer:

See explanation

Step-by-step explanation:

Zeroe of the function is such velue of x at which f(x)=0.

1. Consider the function f(x)=-x(3x-2)^2 (x+9)^5.  

Zeros are:

-x(3x-2)^2(x+9)^5=0\\ \\x=0\text{ or }x=\dfrac{2}{3}\text{ or }x=-9.

Zero x=0 has multiplicity of 1, zero x=\dfrac{2}{3} has multiplicity of 2, zero x=-9 has multiplicity of 5.

At x=0 or x=-9 the graph of the function crosses the x-axis, at x=\dfrac{2}{3} the graph of the function touches the x-axis.

2. Consider the function f(x)=x^3+10x^2+25x=x(x^2+10x+25)=x(x+5)^2.  

Zeros are:

x(x+5)^2=0\\ \\x=0\text{ or }x=-5.

Zero x=0 has multiplicity of 1, zero x=-5 has multiplicity of 2.

At x=0 the graph of the function crosses the x-axis, at x=-5 the graph of the function touches the x-axis.

8 0
4 years ago
What is 981<br> rounded to the nearest thousand
tatiyna

Answer:

1,000.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(1 point) let a=(2,4,−5)a=(2,4,−5), b=(−3,6,−5)b=(−3,6,−5), c=(−8,7,0)c=(−8,7,0), and d=(−3,5,0)d=(−3,5,0). find the area of the
maksim [4K]

Areas and volumes of parallelograms and parallelepipeds in 3 dimensions are often easily found by making use of the cross product of the direction vectors of their edges. For edge vectors v1 and v2 of a triangle, the area is ...

... A = (1/2)║v1 × v2║

that is, half the norm of the cross-product vector. The area of a parallelogram with those edge vectors is simply ...

... A = ║v1 × v2║

Here, direction vectors are ...

  • ab = (-5, 2, 0)
  • bc = (-5, 1, 5)
  • cd = (5, -2, 0)
  • da = (5, -1, -5)

We can see that ab = -cd and bc = -da, as required for a parallelogram.

The cross product ab × bc is (10, 25, 5), so the area of the parallelogram is

... ║(10, 25, 5)║ = √(10² +25² +5²) = √750

... Area = 5√30 ≈ 27.3861 . . . . square units (parallelogram area)

The areas of each of the mentioned triangles is half the area of the parallelogram, so is

... Area Δabc = Area ∆abd = (5/2)√30 ≈ 13.6931 . . . . square units (triangles)

3 0
4 years ago
Please help me...asap
Greeley [361]

Answer:

Your answer is D. 5 children, 12 teens, and 3 adults.

Step-by-step explanation:

45 children, 108 teens, and 27 adults.

x - children , y-teens, z-adults

45x + 108y + 27z

GCF for 45, 108, 27 is 9 so factory out 9 to all.

\frac{45}{9} ,\frac{108}{9} ,\frac{27}{9} \\5,12,3

5 children, 12 teens, and 3 adults.

7 0
3 years ago
Read 2 more answers
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