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3 years ago

Hey can you please help me posted picture of question

Mathematics

1 answer:

storchak [24]3 years ago

3 0

We are to find P(A' ∩ B).

A' indicates Compliment of A.

Since A and B are independent events, we can use the formula:

P(A' ∩ B) = P(A') x P(B)

P(A') = 1 - P(A) = 1 - 0.4 = 0.6

So,

P(A' ∩ B) = 0.6 x 0.9 = 0.54

So, option A gives the correct answer

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A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

Maru [420]

Volume of the cylinder = πr²h = π(1)² (21) = 21π cm³

Volume of the cone = 1/3 π r² h

21π = 1/3 π (r)² (7)

r³ = 21π ÷ (7/3 π)

r² = 9

r = 3

Answer : Radius = 3

3 0

3 years ago

Solve for x. SHOW YOUR WORK.

alukav5142 [94]

Answer:

1+1=2

Step-by-step explanation:

X is the answer to any math problem, and 1x2=2

3 0

2 years ago

For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

vredina [299]

First term (a1) is -1

recursive formula goes like this

$a_n$ is the nth term
$a_{n-1}$ is the term before that

we normally have $a_n=f(a_{n-1})$

we see each term is multipying by -3 to get next one

so that would be
$a_n=-3*a_{n-1}$ where a1=-1

the 3rd option is correct except that it is the explicit formula

so answer is 2nd one

3 0

2 years ago

Latisha worked for six hours and 45 minutes how should she write that on her time card

AlexFokin [52]

Answer:

Hey there!

6 hrs 45 mins = 405 mins, or 6.75 hours.

Hope this helps :)

8 0

2 years ago

Find the quotient of '(16t^2-4)/(8t+4)'

Marizza181 [45]

here we have to find the quotient of '(16t^2-4)/(8t+4)'

now we can write 16t^2 - 4 as (4t)^2 - (2)^2

the above expression is equal to (4t + 2)(4t - 2)

there is another expression (8t + 4)

the expression can also be written as 2(4t + 2)

now we have to divide both the expressions

by dividing both the expressions we would get (4t + 2)(4t - 2)/2(4t + 2)

therefore the quotient is (4t - 2)/2

the expression comes out to be (2t - 1)

3 0

2 years ago