Simplify 16x^3 - 8x^2 + 4x^4 / 2x
A) 8x^2 - 4x + 2x^3
B) 8x^2 - 4 + 2x^3
C) 8x^3 - 4x + 2x^3
D) 8x^2 - 4x + 2x

Answer:

(a)0.3493

(b) 0.7611

(c) 0.5034

(d) No it is not unusual

Step-by-step explanation:

Using the TI-84 Plus calculator to answer the following

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 11.8 pounds and Standard deviation 3.1 pounds.

(a) What proportion of babies weigh more than 13 pounds?

z = (x-μ)/σ

= 13 - 11.8/3.1

= 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

(b) What proportion of babies weigh less than 14 pounds?

z = (x-μ)/σ

= 14 - 11.8/3.1

= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611

(c) What proportion of babies weigh between 11 and 15.8 pounds?

For x = 11

z = (x-μ)/σ

= 11 - 11.8/3.1

= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

= 15.8 - 11.8/3.1

= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

(d) Is it unusual for a baby to weigh more than 18 pounds?

z = (x-μ)/σ

= 18 - 11.8/3.1

= 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =

0.97725

No it is not unusual to have a Weight of 18 pounds

Round the answers to four decimal places.

(a) The proportion of babies weigh more than 13 pounds is 0.3493.

(b) The proportion of babies weigh less than 14 pounds is 0.7611.

(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.

(d) No, it is not unusual.

"To understand the calculation, check below."

Formula:

z = (x-μ)/σ,

x is the raw score.

μ is the population mean.

σ is the population standard deviation.

Mean = 11.8 pounds

Standard deviation =3.1 pounds.

Part (a) :

The proportion of babies weigh more than 13 pounds is :

z = (x-μ)/σ

z = 13 - 11.8/3.1

z = 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

Part (b):

The proportion of babies weigh less than 14 pounds is :

z = (x-μ)/σ

z= 14 - 11.8/3.1

z= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611.

Part (c):

The proportion of babies weigh between 11 and 15.8 pounds is :

For x = 11

z = (x-μ)/σ

z= 11 - 11.8/3.1

z= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

z= 15.8 - 11.8/3.1

z= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds:

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

Part (d) :

Is it unusual for a baby to weigh more than 18 pounds :

z = (x-μ)/σ

z = 18 - 11.8/3.1

z = 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =0.97725

No, it is not unusual to have a Weight of 18 pounds.

Learn more about "Mean weight":

https://brainly.com/question/14275983?referrer=searchResults

Answer:

x = 10-3

When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)

Answer: -4 Please mark brainliest if I am right :D

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+4)−x>4

Step 1: Simplify both sides of the inequality.

2x+12>4

Step 2: Subtract 12 from both sides.

2x+12−12>4−12

2x>−8

Step 3: Divide both sides by 2.

2x/2 > -8/2

x>−4

Answer:

x>−4

Answer:

C.-4

Step-by-step explanation:

3(x)+3(4)-x>4

3x+12-x>4

2x>-8

2x/2>-8/2

x>-4

Answer:

The probability is   [tex]G  =  85% [/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of parents that have one child under 18 in their homes is  k = 15%

  The percentage of parents that have two children is  T = 65%

    The percentage of parents that have three or more children is  Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

     [tex]G  =  T  +  Y[/tex]

=>  [tex]G  =  65% +  20% [/tex]

=>  [tex]G  =  85% [/tex]

Answer:

2x - 1

Step-by-step explanation:

Answer:

★ Divisibility rule for 3 -

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

Example 1 - 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★ Divisibility rule for 6 -

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

Example 2 - 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ Divisibility rule for 9 -

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

Example 3 - 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

Answer:

6.2 x 10^-4

Step-by-step explanation:

Since it is a decimal you would move the decimal point to the right. Making the exponent a negative number.

Answer:

I'm not exactly sure but

try 36inches??

Answer:

your answer is 36 inches.

Step-by-step explanation:

Okay, so you see how the 8 in has one dash. So you see how many one dashes there are and you have 2 so then you add that together and you get 16. Same thing with the 5in you have 4 two dashes. So then you add 16+20 and get 36.

Mark me brainliest pLZ!!!!!!

Answer:

x = 2/9

Step-by-step explanation:

x + 1/9 = 1/3

Subtract 1/9 from each side

x + 1/9 -1/9 = 1/3 - 1/9

Get a common denominator

x = 1/3 *3/3 - 1/9

x = 3/9 -1/9

x = 2/9

Answer:

2x²-2x+5y doing the math reply if you need explanations

Answer:

Step-by-step explanation:

12nl-4=8 start by adding 4 to both sides.

12nl=12/l Divide both sides by l.

12n=12 then divide both sides by 12.

n=1/l

Answer:

1033

1000

Step-by-step explanation:

Multiple the numerator and the denominator both by 10 for every number that follows the decimal point

1.033 x 1000 = 1033

1 x 1000 1000

Answer:

are equal to each other by Triangle Sum Theorem.

Step-by-step explanation:

Answer:

are equal to each other.

Step-by-step explanation:

This happens because the inside angles of a triangle always add up to 180º no matter what type of triangle it is. So if two triangles have two equal measurements then the third will also be equal. This is according to the Triangle Sum Theorem.

Answer:

choice c : c<-4

Step-by-step explanation:

the word less than means <

Answer:

11

Step-by-step explanation:

There is no working you literally just divide

Answer:

11

Step-by-step explanation:

Answer:

70 cds in 2022

Step-by-step explanation:

each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.

250-175=75.

75/5=15.

15x7=105.

175-105=70.

in 2010 it was 250 and 250+150=400.

in 2000, it was y=400-15x

Answer:

D

Step-by-step explanation:

hope this helps :3

Answer:

hundreds

Step-by-step explanation:

Remember the place values:

thousands 8

hundreds 2

tens 1

ones 6

.

tenths 4

The 2 is in the hundreds place.

Answer:

12

Step-by-step explanation:

To find the area of a square, you have to square a side length. Squaring a number is the same as multiplying a number by itself.

12 x 12 = 144

Answer:

219/16

Step-by-step explanation:

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.

Answer:

The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely

Step-by-step explanation:

A) Explaining why x is a discrete random variable

 The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. A discrete random variable is variable that contains a countable number of values contained in it and each value stands an equal chance i.e The probability of each value/outcome is between 0 and 1

Answer:

21

Step-by-step explanation:

21*3 = 63 (add jiri's age)

63+21= 84

Hope this helps!

Answer:

0 < x + 7 < 5 = [-7,-2)

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

7 < x < -2

convert the inequality to interval notation

[-7,-2)

Hope this helps.

Answer:

65

Step-by-step explanation: