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vredina [299]
3 years ago
15

the faces of a number cube are numbered 1 through 6. Event A= {rolling a 1, 2, or 3}. what is the complement of event A?

Mathematics
2 answers:
Marianna [84]3 years ago
7 0
Like the complement of the probability? If that's the case, we have Event A Probability = 1/2, so it would be 1/2 that's the answer...otherwise...more details please.
dexar [7]3 years ago
7 0

Answer:

The complement of event A is:

Event A' = {rolling a 4, 5, or 6}

Step-by-step explanation:

The complement of an event A is all the posibles cases in which there is not an element of event A.

So, In this case we have 6 posibles elements: rolling a 1, 2, 3, 4, 5 or 6.

The complement of event A={rolling a 1, 2, or 3} is the event in which the number cube doesn't get 1, 2 or 3. That happens when it is rolling 4, 5 or 6 . Then, the complement of Event A that we are going to call A' is:

Event A'= {rolling a 4, 5, or 6}

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3 years ago
Which expression is equivalent to n2 + 26n + 88 for all values of n?
Lelechka [254]

Answer:

Option B is correct.

The expression which is equivalent to  n^2+26n+88  is; (n+22)(n+4)

Explanation:

Given the equation: n^2+26n+88 for all values of n.

The quadratic equation in this form; ax^2+bx+c =0

First find two numbers that multiply to give ac and add to give b.

From the given equation;

a =1 , b = 26 and c =88

then,

the two number that multiply to give ac =88 is, 22 or 4

and they add up to give b=26 (i.e 22+4)

Now, rewrite the middle term i.e 26n with 22n and 4n , we have

n^2+22n+4n+88=0

Now, factor the first two terms and last two terms,

n(n+22)+4(n+22)

we see that (n+22) is common to both terms so, we have;

(n+22)(n+4)

Therefore, the expression (n+22)(n+4) is equivalent to  n^2+26n+88

Check:

(n+4)(n+22) = n\cdot n+ 22n+4n+88=n^2+26n+88   [ True]



5 0
3 years ago
Read 2 more answers
What’s the correct answer for this question?
Korvikt [17]

Answer:

1)

Volume of pyramid = 1/3(Ab)(h)

Where Ab is the area of base, h is height

Volume of cone = 1/3(Ab)(h)

a) Their formula for finding volume is same. Also, their painting heads are same.

b) Pyramids have a tetragonal base while cones have a polygonal base

2) Pyramids

Volume of cone = (1/3) πr²h

Since Area of a circle = πr²

So

Volume of pyramid = (1/3)(A)(h)

So we can use the formula of a circle in cone's formula

6 0
3 years ago
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2 g(x) = 3 - x h(x) = 4 - 32 Write (g o h)(x) as an expression in terms of x. (goh)(x) =​
iren2701 [21]

Answer:

HI the answer is

Step-by-step explanation:

just put the answer who cares

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2 years ago
What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction S
Nana76 [90]

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

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(k - 1)/k²

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= -1/k³

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4 0
2 years ago
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