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3 years ago

Events AA and BB are independent. P(A\ \mathrm{and}\ B)=0.25P(A and B)=0.25 Enter possible probabilities for events AA and BB.

Mathematics

1 answer:

xenn [34]3 years ago

8 0

Answer:0.5, 0.5

Step-by-step explanation:

Given

$P(A\cap B)=0.25$

Also, A and B are independent events. So, we can write that

$P(A\cap B)=P(A)\times P(B)$

$0.25=P(A)\times P(B)$

So, the two most possible value of $P(A)\ \text{and}\ P(B)$ are $0.5\ \text{and}\ 0.5$

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Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2

patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are $n^3t^2$ and $nt^4$ .

The factored form of each term is

$n^3t^2=n\times n\times n\times t\times t$

$nt^4=n\times t\times t\times t\times t$

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

$LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t$

$LCM(n^3t^2,nt^4)=n^3t^4$

The LCM of given terms is $n^3t^4$ . Therefore the correct option is C.

8 0

3 years ago

Read 2 more answers

4) A bank is offering 3.5% simple interest on a savings account. If you deposit

Gnom [1K]

Answer:

B. $840

Step-by-step explanation:

Given that

Rate of simple interest = 3.5%

Principal amount = $12,000

Time = 2 year

To find:

Interest earned = ?

Solution:

Formula for Simple Interest is given as:

$S.I. = \dfrac{PRT}{100}$

Where P is the principal amount

R is the annual Rate of interest

T is the time for which principal was invested.

Here, we are given that:

P = $12,000

R = 3.5%

T = 2 years

Putting all the values in the formula:

$SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840$

So, answer is:

B. $840

4 0

3 years ago

The average of three numbers is 45. two of the numbers are equal. the last number is 89. what are the two missing numbers?

trasher [3.6K]

The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:

let x, y and z represent the three numbers
average = x + y + z / 3 = 45

Two number are equal in value, so let x = y. Substituting the value to the expression of average,

45 = x + x + z / 3
45 = 2x + z / 3

It said that the last number is 89 so z is equal to 89.

45 = 2x + 89 / 3
135 = 2x + 89
46 = 2x
x = 23

Therefore, the two numbers are both 23.

4 0

3 years ago

Read 2 more answers

Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0

cupoosta [38]

The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The equation is given below.

x² − 10x − 11 = 0

Then the equation can be written as

x² − 10x + 25 – 25 − 11 = 0

(x – 5)² = 36

Then the correct option is A.

The complete question is attached below.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

4 0

1 year ago

I need it ASAP, Questions are attached as a photo

ELEN [110]

Answer:

8- 26 cm

7- 85 cm^2

1-23 cm

5 0

2 years ago