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2 years ago

Hello would like to see if you can help me with question 2?

Mathematics

1 answer:

Murrr4er [49]2 years ago

8 0

Answer:

P(A or B) = 3/5

Explanation:

An independent event is an event that has no connection to another event's chances of happening. For A and B to be an independent event;

P(A or B) = P(A) + P(B)

Given the following parameters

P(A) = 1/5

P(B) = 2/5

Substituting the given parameters into the formula:

P(A or B) = 1/5 + 2/5

P(A or B) = 3/5

Hence the value of P(A or B) is 3/5

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the sequence {a_n} is defined by a_1= 1 and a_(n+1) = 1/2( a_n+ (4/a_n) ) for >=1. Assuming that {a_n} converges, find its li

katen-ka-za [31]

$a_{n+1}=\dfrac{a_n+\frac4{a_n}}2$

Assuming convergence of the sequence, we have $a_n\to L$ for some limit $L$ as $n\to\infty$ . This also means $a_{n+1}\to L$ . So in the above equation, we can substitute and solve for $L$ :

$L=\dfrac{L+\frac4L}2$

$\implies2L^2=L^2+4$

$\implies L^2=4\implies L=\pm2$

The limit can only be one of these values; otherwise, the sequence would be divergent. To decide which one is correct, we can observe that the sequence is strictly positive. So $L=2$ .

4 0

3 years ago

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

vazorg [7]

Answer:

Mean= 242.5 pounds

Median= 236 pounds

Mode= 208 and 278 pounds

Range=117 pounds

Mid-range= 58.5 pounds

B. The results are likely to be representative because a championship team is most likely representative of the entire league.

Step-by-step explanation:

278 303 186 292 276 205 208 236 278 198 208

Arranged in ascending order is

186 198 205 208 208 236 276 278 278 292 303

Mean = (186 +198+ 205+ 208 +208 +236 + 276+ 278 +278+ 292 +303)/11

Mean =2668/11

Mean= 242.5 pounds

Median = the middle number

Median= 236 pounds

Mode = highest occuring number(s)

Mode= 208 and 278 pounds

Range= highest number- smallest number

Range=303-186

Range=117 pounds

Mid-range= range/2

Mid-range= 117/2

Mid-range= 58.5 pounds

4 0

3 years ago

If the measure of angle BCD=51 degrees, solve for x.

BabaBlast [244]

Answer:

$x=5$

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

$m\ angle BCD=m\angle BED=51^o$

$m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o$ --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle EFD

$m\ angle FED+m\ angle FDE+m\ angle EFD=180^o$

substitute the given values

$25.5^o+55^o+m\ angle EFD=180^o$

$80.5^o+m\ angle EFD=180^o$

$m\ angle EFD=180^o-80.5^o$

$m\ angle EFD=99.5^o$

step 2

Find the measure of angle EFB

we know that

$m\angle EFB+m\angle EFD=180^o$ ---> by supplementary angles

we have

$m\ angle EFD=99.5^o$

substitute

$m\angle EFB+99.5^o=180^o$

$m\angle EFB=180^o-99.5^o$

$m\angle EFB=80.5^o$

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle EBF

$m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o$

we have

$m\angle BEF=m\ angle FED=25.5^o$

$m\angle EFB=80.5^o$

$m\angle EBF=(14x+4)^o$

substitute

$25.5^o+80.5^o+(14x+4)^o=180^o$

solve for x

Combine like terms

$(14x+110)^o=180^o$

$14x=180-110$

$14x=70$

$x=5$

4 0

3 years ago

To find the width of a river,a boy places a wooden peg at a point A on one side directly opposite of an object B on the opposite

NikAS [45]

Answer:

33.7 m

Step-by-step explanation:

tan ACB = AB/AC

tan 34 = AB/50

AB = 50tan(34)

AB = 33.7254258421

5 0

4 years ago

Read 2 more answers

HELPP. Simplify: (4x2 - 5x + 3)(5x + 5).

Alex73 [517]

Answer:

20x^3-5x^2-10x+15

Step-by-step explanation:

You will use foil to get the expression 20x^3-25x^2+15x+20x^2-25x+15, and once you combine like terms you get 20x^3-5x^2-10x+15

7 0

3 years ago