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3 years ago

9

What is the solution of the equation (4x + 3)2 = 18?

1 answer:

saveliy_v [14]3 years ago

5 0

Hello!

First of all, let's undo the parentheses.

8x+6=18

Now we subtract 6 from both sides.

8x=12

Finally, we divide both sides by 8.

x=1.5

I hope this helps!

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The spinner is divided into a equal sections which two events have the same probability

myrzilka [38]

Answer:

its A

Step-by-step explanation:

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3 years ago

The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com

sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that $p = 0.53$

Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

This is P(X = 4) when n = 7. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287$

So the anwer is:

B) 0.287

7 0

2 years ago

Read 2 more answers

Can someone show me the steps to doing this ?

VMariaS [17]

U're goal is to get k alone.
So divide both sides by 9/10.
3/2 divided by 9/10 is 5/3

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3 years ago

What is the proper mathematical definition of "square root?"

pogonyaev

The square root<span> of a number is a value that, when multiplied by itself, gives the number.</span><span> </span>

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2 years ago

How do I use substitution to solve a system of linear equations?

Pachacha [2.7K]

Answer:

the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:

example :

x+y=10

y=10-x ( value of y)

2x+y=12 ( substitute the value of y in the equation )

2x+(10-x)=12

2x+10-x=12 ( now solve for x)

x=12-10

x=2 ( substitute the value of x in the equation x+y=10)

x+y=10

2+y=10

y=10-2

y=8

( i hope it helps)

8 0

3 years ago