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3 years ago

Can u solve this for me: 72 + 4x = 2x + 82 and please show work

2 answers:

8 0

The answer is X = 5 because first you have to take away 2x from that side so u minus 2x from 4x that gives u: 72 + 2x = 82 then you have to minus 72 from both sides and that gives you 2x = 10 once you have that you divide both sides by 2 because you want the X by itself and once you get that X = 5. Hope this helped!

Ket [755]3 years ago

4 0

To solve an algebraic equation, you have to get x by itself so that x = something. In order to get x by itself you have to manipulate the equation, making sure that whatever you do to one side, you also do to the other side to keep it true. Let's do yours...

72 + 4x = 2x + 82

Let's keep x on the left and move the other numbers over to the right side (you can do it either way though). Move 72 over to the right side by subtracting it from both sides (that cancels it on the left because 72 - 72 = 0). Then combine like terms.

72 + 4x - 72 = 2x + 82 - 72
4x = 2x + 10

Now move 2x to the left side by subtracting it from both sides then combine like terms.

4x - 2x = 10
2x = 10

Lastly... divide each side by 2 (2/2 = 1 so that cancels it on the left)

x = 10/2
x = 5

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Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the

kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0

3 years ago

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard

lilavasa [31]

Answer:

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

$z=\frac{x-\mu}{\sigma}$

Where, $\mu$ is mean,

$\sigma$ is standard deviation,

Given,

For method A,

$\mu = 33$

$\sigma=8$

Thus, the z score for 34 is,

$z_1=\frac{34-33}{8}=0.125$

While, for method B,

$\mu = 37$

$\sigma = 4$

Thus, the z score for 34 is,

$z_2=\frac{34-37}{4}=-0.75$ ,

Since, $z_1 > z_2$

Hence, method A is preferred if the procedure must be completed within 34 minutes.

8 0

4 years ago

Select the correct answer.

nikdorinn [45]

Answer:

a negative linear association (C)

Re-Written Problem [Formatted]

Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?

Numbers of players on team are going to be 1, 2 , 3, 4, 5.

time taken to complete game (in minutes) 32, 26, 20, 14, 8

(Select the correct answer)

A. Positive linear association

B. Exponential relationship

C. Negative linear association

D. No relationship

----------------------------------------------------------------------------------

Step-by-step explanation:

Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)

[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]

So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.

So, you would see a negative line, showing a negative linear association.

5 0

2 years ago

Solve for x, show all your work: x3 = 10

Alex73 [517]

3.3333333333333333333
repeating

8 0

3 years ago

Read 2 more answers

PLZ HURRY! WILL GIVE BRAINILEST TO FIRST CORRECT ANSWER!!!!!!!!

tatuchka [14]

Answer:

2.36

Step-by-step explanation:

order of operations : pemdas

parenthesis, exponents

multiplication, division

addition, substraction

first parenthesis, so

(32-4) = 28

parenthesis again

[10+28] = 38

now you have

90/38 = 45/19 = 2.36

6 0

3 years ago

Read 2 more answers