Can someone please help I don’t get this

zaharov [31]

$\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\$

$\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16$

6 0

2 years ago

show that any binary integer is at most four times as long as the corresponding decimal integer. for very large numbers, what is

makkiz [27]

It has been shown that any binary integer is at most four times as long as the corresponding decimal integer.

<h3>What is the binary code?</h3>

The binary code is a method of expressing numbers that makes use of one and zero. It is the method in which the computer encodes data. The data must be transformed into zeros and ones before they can be encoded.

For instance, the number 8 is (1000)2. This shows that any binary integer is at most four times as long as the corresponding decimal integer.

Learn more about binary integer:brainly.com/question/14866711

#SPJ4

4 0

1 year ago

What is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Alecsey [184]

Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

$14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd$

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4. Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

3 0

3 years ago

Population growth sometimes increases in a rapidly increasing (non constant) manner within a relatively short period of time. Wh

Y_Kistochka [10]

This accelerating pattern of increasing population size is called exponential growth. The best example of exponential growth is seen in bacteria. Bacteria are prokaryotes that reproduce by prokaryotic fission.

6 0

3 years ago

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they

Masteriza [31]

Answer:

1. 0.9648

2. 0.602

3. 0.0352

4. 0.398

Step-by-step explanation:

We solve using binomial probability

n = 15

P = 20% = 0.2

1. At least 1 is tight

= P(X>=1)

P(X>=1) = 1-p(X= 0)

= P(x=0)

= 15C0(0.20)⁰(1-0.20)^15-0

= 15C0(0.20)⁰(80)¹⁵

= 0.0352

P(x>=1) = 1-0.0352

= 0.9648

2.

More than 2 ties tight

P(X>2)

P(X>2) = 1-p(X<=2)

p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= p(x=0) = 0.0352

p(x=1) = 15C1(0.20)¹(0.80)¹⁴

= 0.1314

p(x=2) = 15C2(0.20)²(0.80)¹³

= 0.2309

P(x>2) = 1-(0.0352+0.1314+0.2309)

= 0.602

3.

No ties is tight

P(X = 0)

= 15C0(0.20)⁰(0.80)¹⁵

= 0.0352

4.

At least 3 are not tight

This says that at most we have 3 to be too tight

= p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= 0.0352+0.1319+0.2309

= 0.398

7 0

3 years ago