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Novosadov [1.4K]
3 years ago
8

I am in some serious need of help If P(a)=1/3, P(b)=2/5, and P(AuB)=3/5 what is P=(AnB)?

Mathematics
2 answers:
Aneli [31]3 years ago
8 0
P(A\cap B)=P(A)+P(B)-P(A\cup B)

\implies P(A\cap B)=\dfrac13+\dfrac25-\dfrac35=\dfrac2{15}
butalik [34]3 years ago
4 0

Answer:

The value of P=(AnB) is \frac{2}{15}.

Step-by-step explanation:

It is given that

P(A)=\frac{1}{3}

P(B)=\frac{2}{5}

P(A\cap B)=\frac{3}{5}

According to the union formula:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{1}{3}+\frac{2}{5}-\frac{3}{5}

P(A\cup B)=\frac{1}{3}+\frac{2-3}{5}

P(A\cup B)=\frac{1}{3}-\frac{1}{5}

P(A\cup B)=\frac{5-3}{15}

P(A\cup B)=\frac{2}{15}

Therefore the value of P=(AnB) is \frac{2}{15}.

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Kylie can afford a $1310-per-month house loan payment. If she is being
Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal  = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × (1+\frac{Rate}{12\times 100})^{12\times Time}

Or, $393,000 = $ P × (1+\frac{8.4}{12\times 100})^{12\times 25}

Or, $393,000 = $ P × (1.007)^{300}

Or, $393,000 = $ P × \frac{393,000}{8.10066}

∴   P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56  Answer

8 0
3 years ago
Find the 10th term of the geometric sequence 1, 3, 9, .
spin [16.1K]

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

a_{n} =a_{1} *r^{n-1}

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

a_{10} =1 *3^{10-1}  = 3^{9} =19683

Hope this helps!

3 0
2 years ago
Would like to know what I am doing wrong and have an answer
Paul [167]

A can is a cylinder shape.

Volume of a cylinder = PI x r^2 X h

r is the radius and h is the height.

The diameter is given as 3.8, the radius is half that: 3.8 /2 =  1.9

Height is given as 6.5

Volume = 3.14 x 1.9^2 x 6.

Volume = 73.6801 cubic inches.

Rounded to the nearest tenth = 73.7 cubic inches.

4 0
2 years ago
How can you tell if a point is a solution to a system of equations?
Anna35 [415]

Answer: you have to substitute them into the equation

Step-by-step explanation:

example: x = 2y - 6

lets say you test 4/5 so it would be 4 = 2(5) - 6

this equals 4 = 10 - 6 which is true

so that is how you test to see if the equation is right

remember the first number goes to "x" and the second one goes to y

hope this helps mark me brainliest if you can

3 0
3 years ago
You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2
klio [65]
By the polynomial remainder theorem, the remainder upon dividing p(x) by x-3 will be the value of p(3).

... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ...  3 ... -9 ... -39 .. -135 
--------------------------------------
... | 1 ... -3 ... -13 . -45 .. -137

So you have

\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}

which means p(3)=-137.
5 0
3 years ago
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