3 years ago

PLEASE HELP GIVE BRANLIEST!!

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

Answer:

1. 2/25

2. 4/15

Step-by-step explanation:

1. P(Y∩X)

Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.

So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25

2. P(Y)· P(X)

P(Y)· P(X) = 2/3 × 2/5 = 4/15

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use a numerical method to estimate the value of the limit (if it exists.) Lim e^5t -1 /t as x tends to 0 from both sides

charle [14.2K]

Hello from MrBillDoesMath!

Answer:

Discussion:

Consider the expansion of e^x:

e^x = 1 + x + x^2/2 + x^3/6 +...... => replace x by 5t

e^(5t) = 1 + (5t) + (5t)^2/2 + .... => subtract 1 from both sides

e^(5t) - 1 = (5t) + (5t)^2/2+.... => divide both sides by t

(e^(5t) -1)/ t = 5 + (25/2) t +....

so as t ends to 0 the quotient tends to

5 + (25/2)0 + (other terms) *0 -> 5

Thank you,

MrB

8 0

3 years ago

In the circle above, the length of AO is 1, and x = 88º. What is the area of sector AOB?

max2010maxim [7]

The complete question in the attached figure

we know that
[area of a circle]=pi*r²
for r=1 unit
[area of a circle]=pi*1²---------> pi units²

if the area a full circle of 360°--------------> is pi
the area of sector 88°------------------------> X
X=88*pi/360--------> 0.77 units²

the answer is
 the area of sector AOB is 0.77 units²