15.18. Find the area of the region bounded by

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

Allushta [10]

Answer:

$P(E|A)= \frac{10}{11}$

Step-by-step explanation:

Given

Two rolls of die

$E \to$ one of the outcomes is 6

$A \to$ atleast one is 6

Required

P(E|A)

First, list out the outcome of each

$E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

So:

$P(E|A)= \frac{n(E\ n\ A)}{n(A)}$

Where:

$E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$n(E\ n\ A) = 10$

$n(A) = 11$

So:

$P(E|A)= \frac{10}{11}$

7 0

2 years ago

Pls answer this question with complete answers thank u❤️❤️❤️

MAVERICK [17]

Yes Clare should switch because $96 + 12% is $107.52 but if she get the other one, it would be $105 in one year because $8.75 x 12 is $105

5 0

2 years ago

Read 2 more answers

You divide a number and get a remainder of 4. what 1 - digit number can the divisor of the problem?

ahrayia [7]

Answer:

<em>Any of the numbers 5,6,7,8,9 could be the divisor of the problem.</em>

Step-by-step explanation:

<u>Division</u>

If I divide a number and get a remainder of 4, then the divisor must be greater than 4. A divisor of 4, for example, would lead to a remainder of (maximum) 3.

Thus, our divisor can only be one among the numbers: 5,6,7,8,9. If the dividend is exactly 4, then the divisions

4/5, 4/6, 4/7, 4/8, and 4/9

they all produce the same remainder of 4.

Thus, any of the numbers 5,6,7,8,9 could be the divisor of the problem

6 0

3 years ago

The temperature of a city changed -24 degrees Celsius over a 6 week period. Write an expression the show the average change in t

Ne4ueva [31]

Answer:

The expression is (-24) / 6 = -4degrees which means that in each week the average change in temperature was -4 degrees Celsius.

Step-by-step explanation:

Change in a quantities can as well be interpreted as rate of change which is used in many everyday problems, such as weather forecast, traveling , in science and so on.When we are talking about rate of change it's is usually in ratio such as Miles per hour or feet per second can be used in calculation involving rates of speed. It is how one quality is changing with respect to time , for instance, rate equals distance divided by time: r = d/t.

In finance rate of change is also applicable we can have Unit price which is a particular rate that compares a price to some unit of measure. Example is $64 per dozen.

Therefore, Given from the question,

The temperature of a city changed -24 degrees Celsius ,

Time =6 weeks period.

Then change is r = d/t.

= (-24) / 6

Change = (-24) / 6 = -4 degrees

This means that each week the average change in temperature was -4 degrees Celsius.

3 0

3 years ago

Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dA R , where R is the region in the first quadrant betw

alexira [117]

Answer:

I = 1.47001

Step-by-step explanation:

we have the function

$f(x,y)=sin(x^2y^2)\\$

In polar coordinates we have

$x=rcos\theta\\y=rsin\theta$

and dA is given by

$dA=rdrd\theta$

Hence, the integral that we have to solve is

$I=\int \limt_2^4 \int \limit_0^{\pi /2}sin(r^4cos^2\theta sin^2\theta)rdrd\theta$

This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)

I = 1.47001

Hope this helps!!!

7 0

3 years ago