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3 years ago

Solve: |2 + 4x| 11

Mathematics

1 answer:

erastovalidia [21]3 years ago

5 0

Correct option is A) [-13/4, 9/4] .

Step-by-step explanation:

Here we have following equation as |2 + 4x| = 11 or , $|2 + 4x| = 11$ . We need to solve for the value of x .Let's find out:

We know that Modulus Function is both positive & negative for particular values of x , i.e.

|2 + 4x| is positive :

⇒ $|2+4x|=11$

⇒ $2+4x=11$

⇒ $4x=9$

⇒ $x = \frac{9}{4}$

|2 + 4x| is negative :

⇒ $|2+4x|=11$

⇒ $-2-4x=11$

⇒ $-4x=13$

⇒ $x = \frac{-13}{4}$

Therefore , Correct option is A) [-13/4, 9/4] .

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A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What

Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

$P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}$

a) What is the probability that none of the questions are essay?

$P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174$

b) What is the probability that at least one is essay?

$P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232$

c) What is the probability that two or more are essay?

$P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594$

8 0

3 years ago

Change Y - 4X = 0 to the slope-intercept form of the equation of a line.

Bingel [31]

Answer:

y=4x

Step-by-step explanation:

Add 4x to both sides to get y=mx+b

0 is y-intercept.

4x is the slope.

6 0

3 years ago

If a+b = 7, and a² +b²=25 then ab = ?

Rama09 [41]

a2+b2=25

or, (a+b)^2-2ab=25

or, (7)^2-2ab=25 [a+b=7]

or, 49-25=2ab

or, 24/2=an

•°• ab=12....

3 0

3 years ago

3x+2y=-15 2x=-18 elimination

Sergeeva-Olga [200]

Answer: (-9,6)

Step-by-step explanation:

3x+2y=-15

2x=-18

First solve for x in second equation

2x=-18

2x/2=-18/2

X= -9

Now substitute your x into first equation to find y

3(-9)+2y= -15

-27+2y=-15

2y= -15+27

2y= 12

2y/2=12/2

Y= 6

5 0

3 years ago

Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Gnoma [55]

For the answer to the question above, I'll explain my answer through an equation below.
5+10>x,x<15
5+x>10
x>10-5
or x>5
So the answer is either multiple choice letter C. 6 or multiple choice letter D. 11

I hope my answer helped you. Have a nice day!

7 0

3 years ago