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irina [24]
3 years ago
14

There are two coins in a bag. for coin 1, p(h) = ½ and for coin 2, p(h) = 1/3. your friend chooses one of the coins at random an

d tosses it 5 times.
a. what is the probability of observing at least 3 heads?
b. you ask your friend: “did you observe at least 3 heads?”. your friend replies, “yes”. what is the probability that coin 2 has been chosen?
Mathematics
1 answer:
lana [24]3 years ago
8 0
The answer is 3 to this question
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Find the inverse of the given relation.
Greeley [361]

Answer:

C

Step-by-step explanation:

first look at all the numbers in the relation.then since inverse means opposite find the answers where the numbers in the parenthesis are in the opposite order than the question. Finally look for the answer In which all the positive numbers in the parenthesis(in the given relation) are negative (on the answers)and the negative numbers (in the given relation) are positive (on the answers).

4 0
3 years ago
Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
ryzh [129]

First find the critical points of <em>f</em> :

f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7

\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1

\dfrac{\partial f}{\partial y}=6y=0\implies y=0

so the point (1, 0) is the only critical point, at which we have

f(1,0)=-7

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t

Find the critical points of <em>g</em> :

\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0

\implies\sin t=0\text{ OR }1+5\cos t=0

\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi

where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at

t=0\implies f(10,0)=155

t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299

t=\pi\implies f(-10,0)=235

t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299

So <em>f</em> has a minimum of -7 and a maximum of 299.

4 0
3 years ago
Need help as quickly as possible
Solnce55 [7]

The measure of the unknown angles in the kite are as follows;

  • x = 66 degrees
  • y = 158 degrees

<h3>How to find the measure of a kite?</h3>

A kite has two pairs of adjacent equal sides.

In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

One pair of opposite angles is equal. Diagonals are perpendicular to each other.

A kite has four interior angles and the sum of these interior angles is 360°

Therefore, the measures of the

x = 66 degrees.

Let's find y.

y = 360 - 70 - 66 - 66

y = 158 degrees.

learn more on kites here: brainly.com/question/24263475

#SPJ1

6 0
1 year ago
Two angles are suppiementary, One angle is three times the measure of the other. What are the measures of the angles? Enter only
laiz [17]

Answer:

135 degrees and 45 degrees

Step-by-step explanation:

Two angles are supplementary when their sum adds up to 180 degrees.

4 0
3 years ago
Which set of rational numbers is arranged from least to greatest?
Maslowich

I do not see an illustration.

4 0
3 years ago
Read 2 more answers
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