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balandron [24]
2 years ago
10

If h and j are positive, (h+j)2 = 73 and h2 +j2 = 51, what is hj?

Mathematics
1 answer:
kkurt [141]2 years ago
3 0

Answer:

hj = 11

Step-by-step explanation:

  • (h+j)^2=73,\:\: and\:\: h^2+j^2 =51 (Given)

  • (h+j)^2 = h^2+j^2 +2hj

  • \implies 73= 51 +2hj

  • \implies 73- 51 =2hj

  • \implies 22 =2hj

  • \implies hj = \frac{22}{2}

  • \implies hj = 11
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PLEASE HELP
katrin2010 [14]

The game that is  used for the scenario above in terms of fair play is  using a balloon. Here, the player will hit the balloon.

<h3>What is the scenario under the balloon game?</h3>

The rule of play are:

This is a classic game with simple rules which are:

  • Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
  • Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.

A scenario of the worksheet game whose expected value is 0 is given below:

Assume that it costs about $1 for a player to play the billon game and as such, if  the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.

Solution

Note that a  game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4.  So when the player do not hit a balloon, it drops to $1.

(4)(0.313) + (-1)(0.313)

= 0.939 approximately

Thus, the expected value is $0.939 which tells that the game is fair.

Learn more about fair play from

brainly.com/question/24855677

#SPJ1

4 0
2 years ago
Two blocks of wood are shaped as right rectangular prisms. The smaller block has a length of 9 cm, a width of 3 cm, and a height
solmaris [256]
1512 I believe! :) I would double all the dimensions first, then multiply them all together. 
3 0
2 years ago
Read 2 more answers
The price of a geometrical box was Rs 400 last year. It has increased by 12% this year. What is the price now?
mestny [16]

Answer:

Rs 448

Step-by-step explanation:

400 × 1.12 = 448

this a 12 % increase

6 0
3 years ago
You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first
Tomtit [17]

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=3, p=0.1)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

Y \sim Binom(n=5, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(Y)=(nCy)(p)^y (1-p)^{n-y}

Where (nCx) means combinatory and it's given by this formula:

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0
3 years ago
After a 12% pay raise now earning 31,360 what was the salary before the raise
castortr0y [4]
X + 0.12x = 31360
1.12x = 31360
x = 31360/1.12
x = 28,000 <===
3 0
3 years ago
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