Solve 3/5 = 4m<br><br><br> pls help!!!

I need a little help :)

Naily [24]

So firstly, square root 9a^2 and 49: $3a+7\sqrt{b}-a+\sqrt{b}$

Next, combine like terms, and your answer will be $2a+8\sqrt{b}$ , or the third option.

3 0

3 years ago

12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode

Ede4ka [16]

Answer:

Mean: 15

Median: 15

Mode: 15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.

If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

$\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}$

$\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}$

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15 ⇒ 9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

$\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}$

Therefore, the median is 15.

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0

2 years ago

A blackjack player at a Las Vegas casino learned that the house will provide a free room if play is for four hours at an average

marysya [2.9K]

Answer:

a) player’s expected payoff is $ 240

b) probability the player loses $1000 or more is 0.1788

c) probability the player wins is 0.3557

d) probability of going broke is 0.0594

Step-by-step explanation:

Given:

Since there are 60 hands per hour and the player plays for four hours then the sample size is:

n = 60 * 4 = 240

The player’s strategy provides a probability of .49 of winning on any one hand so the probability of success is:

p = 0.49

a)

Solution:

Expected payoff is basically the expected mean

Since the bet is $50 so $50 is gained when the player wins a hand and $50 is lost when the player loses a hand. So

Expected loss = μ

= ∑ x P(x)

= 50 * P(win) - 50 * P(lose)

= 50 * P(win) + (-50) * (1 - P(win))

= 50 * 0.49 - 50 * (1 - 0.49)

= 24.5 - 50 ( 0.51 )

= 24.5 - 25.5

= -1

Since n=240 and expected loss is $1 per hand then the expected loss in four hours is:

240 * 1 = $ 240

b)

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

= 110.5 - 117.6 / √117.6(1-0.49)

= −7.1/√117.6(0.51)

= −7.1/√59.976

= −7.1/7.744417

=−0.916789

Here the player loses 1000 or more when he loses at least 130 of 240 hands so the wins is 240-130 = 110

Using normal probability table:

P(X≤110) = P(X<110.5)

= P(Z<-0.916)

= 0.1788

c)

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

= 120.5 - 117.6 / √117.6(1-0.49)

= 2.9/√117.6(0.51)

= 2.9/√59.976

= 2.9/7.744417

=0.374463

Here the player wins when he wins at least 120 of 240 hands

Using normal probability table:

P(X>120) = P(X>120.5)

= P(Z>0.3744)

= 1 - P(Z<0.3744)

= 1 - 0.6443

= 0.3557

d)

Player goes broke when he loses $1500

Using normal approximation of binomial distribution:

n = 240

p = 0.49

q = 1 - p = 1 - 0.49 = 0.51

np = 240 * 0.49 = 117.6

nq = 240 * 0.51 = 122.5

both np and nq are greater than 5 so the binomial distribution can be approximated by normal distribution

Compute z-score:

z = x - np / √(np(1-p))

= 105.5 - 117.6 / √117.6(1-0.49)

= -12.1/√117.6(0.51)

= -12.1/√59.976

= -12.1/7.744417

=−1.562416

Here the player loses 1500 or more when he loses at least 135 of 240 hands so the wins is 240-135 = 105

Using normal probability table:

P(X≤105) = P(X<105.5)

= P(Z<-1.562)

= 0.0594

7 0

3 years ago

How to find out L C M of common division method

stealth61 [152]

$\huge\bigstar\:$ $\Huge\tt\underline\blue{ANSWER}$

To find Least Common Multiple by using Division Method we need to follow the following steps.

Step 1: Write the given numbers in a horizontal line, separating them by commas.

Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.

<h3>HOPE IT HELPS YOU...</h3>

4 0

3 years ago

Read 2 more answers

What is the answer to 2x+8

Sloan [31]

2x + 8.....factor = 2(x + 4)

6 0

3 years ago

Read 2 more answers

Solve 3/5 = 4m pls help!!!