The heights of all the newborns in a certain country are normally distributed,
with a mean of 18 inches and a standard deviation of 1 inch. A mother just
delivered a baby that is 16 inches long. Which of the following represents the
z-score of the baby's height? (Round your answer to two decimal places.)

Answer:

$11.66

Step-by-step explanation:

8.9 x 1.31 = 11.659 Round to the nearest penny

11.66

Solution :

Repeating or recurring decimals :

Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.

Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.

The repeating decimal to fraction steps of conversion are given below:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.

Step 1: We can observe that 7 is repetitive in the given decimal number.

Step 2: Let x = 0.7777...

Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...

Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.

Step 5: x = 7/9. Therefore, 0.7777... = 7/9.

Hence,

you multiply 10 by the repeating decimal to make a fraction

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Answer: A''=(-2, 2)

Step-by-step explanation:

A' = (2, -(-2)) = (2,2)   ==> the y-coordinate is negated when A reflects over the y-axis

A''=(-(2), 2) = (-2, 2).  ==> the x-coordinate is negated when A reflects over the x-axis

A''=(-2, 2)

[tex]\stackrel{\textit{lbs of candy}}{\cfrac{1}{3}}\div \stackrel{people}{5}\implies \cfrac{1}{3}\div\cfrac{5}{1}\implies \cfrac{1}{3}\cdot \cfrac{1}{5}\implies \stackrel{\textit{lbs of candy}}{\cfrac{1}{15}}[/tex]

Answer: 2000    

Step-by-step explanation:

1803.2684=

1803.2684=2000    

Answer: 150,000,000

Step-by-step explanation:

Total percentage of editorial + engineering = 20%

Total budget of editorial + engineering = 30,000,000

So, Total budget*20/100 = 30,000,000

Total budget = 5*30,000,000

Total budget = 150,000,000

The solution to the given inequality (-4 < 16 - 4x) is x < 5.

Hence, option B) x < 5  is the correct answer.

Given the in equality in the question;

-4 < 16 - 4x

First, rewrite the inequality such that x is on the left side.

-4x + 16 > -4

Subtract 16 from both sides

-4x + 16 - 16 > -4 - 16

-4x > -20

Divide both sides by -4

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-4x/-4 < -20/4

x < -20/-4

x < 5

The solution to the given inequality (-4 < 16 - 4x) is x < 5.

Hence, option B) x < 5  is the correct answer.

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Answer:

8

Step-by-step explanation:

The

[tex] \sqrt{64} [/tex]

is 8. Because when you divide 64 by 8 you get 8 which makes it a perfect square.

Answer:

B x=√28 using Pythagorean theorem

The angle measures are;

Angle 7  is 40° = Angles 8 : supplementary

Angle 3 is 40° = Angles 8: supplementary angles

Angle 5 = 140°  = Angle 8; corresponding angles

Angle 1 = 140°  = Angle 8; corresponding angles

Angle 6 = 40°  = Angle 8; supplementary angles

Angle 2 = 140°  =  Angle 8; corresponding angles

Angle 4 = 140°  Angle 8; corresponding angles

Given that angle 8 measures 140 degrees

It is important to note that angles on a straight line equals 180 degrees

Then,

angle 7 + angle 8 = 180°

Substitute the values of angle 8

Angle 7 + 140 = 180

Angle 7 = 180 - 140

Angle 7 = 40°

Thus, If angle 7  is 40° then angle 3 is 40°, corresponding angles

Angle 5 = Angle 8; corresponding angles

Angle 1 = Angle 8; corresponding angles

Angle 6 = Angle 7; corresponding angles

Angle 2 = Angle 8; corresponding angles

Angle 4 = Angle 8; corresponding angles

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The square root of one hundred forty is less than one hundred five ninths. So, option D is correct.

According to this question we have to compare the square roots of both numbers One Hundred Forty and One Hundred Five Ninths. So, we have to calculate their square roots.

The square root of One hundred Forty: √140

The square root of One hundred Forty:  11.832

The square root of One Hundred Five Ninths: √159

The square root of One Hundred Five Ninths: 12.609

Comparing both of their square roots we can clearly see that :

           (11.832) < (12.609)

The square root of 140 < Square root of 159

Hence, option D is correct. The square root of 140 is less than 159.

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Answer:

2

Step-by-step explanation:

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Answer:

24

Step-by-step explanation:

you multiplied 6 by 2 so you have to multiply 12 times 2 and you will get 24

Acasa's expected value loss  be per customer who chooses plan A

Assumption

Fill customers choose plan A

The  average payout is the same for plans A & B

Expected value = net payment in -Net payment out

⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]

⇒ 700$ - 1200$

⇒ -500$

What are a profit and loss?

A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.

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The value of (f-g)(x) is 4x3+5x2-7x-1.

Real- or complex-valued functions defined on the set Z+ of positive integers are arithmetic functions. They explain arithmetic characteristics of numbers and are frequently applied in number theory. For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "" Finding the quotient in division (")Mathematical branch known as arithmetic deals with the study and use of numbers, relationships between numbers, and observations on numbers.

f(x)=4x3+5x2-3x-6

g(x)=4x-5

Therefore,

(f-g)(x)=f(x)-g(x)

=(4x3+5x2-3x-6) – (4x-5)

= 4x3+5x2-3x-6-4x+5

=4x3+5x2-(4+3)x-(6-5)

=4x3+5x2-7x-1

Hence, the value of (f-g)(x) is 4x3+5x2-7x-1

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the correct answer is 6259

The definition of the symbolic statement r → ~s is:

If we go to Venice, then we will not go to Florence.

First, we have to look at the definition of the events.

In this problem, the statement is:

If r then not s.

Considering events r and s, the correct option is:

If we go to Venice, then we will not go to Florence.

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Answer:

4,000

Step-by-step explanation:

Rounding rule:

"4 or less, round down / keep the same."

"5 or more, round up."

Since the hundreds place has a 3, that means we round the thousands place to 4,000, because the hundreds place is lower than 5.

Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

The total cost paid by the senior citizen for 3 days = $50

The function representing the total cost of the annual pass is:

f(x) = 20x + 80

A senior citizen pays $20 less than half of this price for x days

The total cost paid by the senior citizen = [tex]\frac{f(x)}{2} -20[/tex]

The total cost paid by the senior citizen =[tex]\frac{20x+80}{2} -20[/tex]

Simplify the resulting expression:

The total cost paid by the senior citizen =10x + 40 - 20

The total cost paid by the senior citizen = 10x + 20

x represents the number of days

Substitute x = 3 into the resulting equation

The total cost paid by the senior citizen for 3 days  =10(3)+20

The total cost paid by the senior citizen for 3 days = $50

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The number of students that score within the range μ ± 2σ is; 190 students

The empirical rule is a tool for finding the ranges that are 1 standard deviation, 2 standard deviations, and 3 standard deviations from the mean, in which you'll find 68, 95, and 99.7% of the normally distributed data respectively.

This means that 2 standard deviations from the mean would indicate that 95% of the students would score within the given range.

Thus, number of students that score within the range μ ± 2σ is;

95% * 200 = 190 students

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Step-by-step explanation:

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum can be expressed in this manner:

The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

The coordinates are given as:

M(-2,3),

H(-4,-3)

A(4,3)

T(2,-3)

The rule of rotation by 180 degrees is

(x, y) = (-x, -y)

When the above rule is applied, we have

M(-2,3), = T(2,-3)

H(-4,-3) = A(4,3)

A(4,3) = H(-4,-3)

T(2,-3) = M(-2,3)

Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

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Answer:

sweefe

Step-by-step explanation:

EFEFEEa

Answer: (3, -1)

Step-by-step explanation:

y = |x-3|-1

When y=|x|, vertex is (0, 0).

Now, let's translate the graph so it becomes y = |x-3|-1.

|x| ==> |x-3|         Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

|x-3| ==> |x-3|-1     Translate the graph 1 unit down

Vertex: (3, 0-1) ==> (3, -1)

Vertex: (3, -1)

Using translation concepts, we have that the table of values for the function p(x) = x - 7 is given by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

y = f(x).

A translation down 7 units is represented by a subtraction by 7 in the range, that is:

p(x) = f(x) - 7 = x - 7.

The numeric values to be inserted in the table are given by:

In the graph at the end of the exercise, both functions are shown.

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