In the country of United States of Heightlandia, the height measurements of ten-year-old children are
approximately normally distributed with a mean of 54.6 inches, and standard deviation of 5.7 inches.
What is the probability that the height of a randomly chosen child is between 55.15 and 68.35 inches? Do not
round until you get your your final answer, and then round to 3 decimal places.
Answer=
(Round your answer to 3. decimal places.)

Answers

Answer 1
The probability that the height of a randomly chosen child is between 55.15 and 68.35 inches is 0.994.

Related Questions

Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?

Answers

She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.

As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.

We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.

To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,

700 feet = (700 * 0.305) meters,

or, 700 feet = 213.5 meters.

Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.

Metric Unit System: It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.

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A dieter loses a total of 24 pounds over 6 months. The dieter uses the expression -24/6 to represent the average weight loss each month. which expression is equivalent to the expression the dieter uses?

Answers

The equivalent expression to the dieter's expression which is given as -24/6 is equal to  -(24/6).

What are the three fractional signs?

Every fraction has three signs: one for the numerator, one for the denominator, and one for the overall fraction.

A fraction can have what kind of sign?

The fraction will always be negative if one of the numerators or denominators is negative and the other is positive.

It is given that a dieter loses 24 pounds in 6 months.

The dieter represents the average monthly weight loss with the expression -24/6.

We know that,

The negative sign in numerator can be assigned to the overall fraction.

So, we can write the expression (-24)/6 as -(24/6).

Therefore, the expression that is equivalent to the expression the dieter uses is    -(24/6).

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two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter.

Answers

The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.

The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.

Since we are provided with four red cards and four green cards so, the total possible combination of the  8 cards will be

C(8,2) = 28

out of which  2*C(4,2)=12 are the  pairs of the same color

therefore the probability of picking a pair with the same color OR same letter is

1 - (12*4)/28^2 = 0.9388

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If the right triangle BAR were rotated 90° clockwise about Point B to what location would point A be relocated

Answers

Using rotation rules, considering the 90º clockwise rotation, the coordinates of point A are given as follows:

(-2,0).

What is the rule for a 90º clockwise rotation at a point other than the origin?

The origin has coordinates (0,0), hence the rule for a 90º clockwise rotation about the origin is:

(x,y) -> (y, -x).

Considering a point (xP, yP) as reference, the rule for the coordinates of the vertices after the rotation is given as follows:

(x,y) -> (y - yP, -x + xP).

For this problem, point B is the reference point, hence the reference coordinates are as follows:

xP = 2, yP = 1.

Then the rule is:

(x, y) -> (y - 1, -x + 2).

Point A is located at:

x = -2, y = -1.

After the rotation, the coordinates will be given as follows:

(x, y) -> (-1 - 1, -2 + 2) = (-2,0).

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Solve the equation.
p - 132 = 7, p = ______

Answers

Answer:

139

Step-by-step explanation:

Add 132 to both sides, so it will cancel out on the left side and you are left with only p.

[tex]p - 132 + 132 = 7 +132\\p = 139[/tex]

I need help making sure these are the right answer thank you in advance!

Answers

Answer:

They are all incorrect except for C

Step-by-step explanation:

A. y = 4

B. y = -2x + 4

D. x = -4

Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4

2.y=3x-6

Answers

To develop a table of functions for the values we have

y  = x + 4

x          y

0          4

1           5

2           6

3           7

the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)

y = 3x - 6

x          y

0          -6

1           -3

2           0

3           3

the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)

How to find the table of values

y = x + 4

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7

y = 0 + 4 = 4

y = 1 + 4 = 5

y = 3x - 6

The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3

y = 3(0) - 6 = 0 - 6 = -6

y = 3(1) - 6 = 3 - 6 = -3

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Is Simon’s work correct?

Answers

Yup his work is correct

find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten.​

Answers

A(7,10) and B(9,-3) are separated by 13.1 units.

How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)

Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10,  x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units

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A boy spent 1/2 of his money for a book, and 1/3 of his money for a pen. the remaining 2.25 dollars he saved. how much money did he have originally?

Answers

Answer:

13.5

Step-by-step explanation:

13.5 just doing this for points

Two Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars) for different numbers of months at Company A. The total cost $y$ (in dollars) for $x$ months of service at Company B is represented by $y=45x+50$ . Which company charges less per month?

Company A
Months, x Total cost, y
2

3

4

5

6

$180

$220

$260

$300

$340

Answers

An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.

Given that,

An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B. 

We have to find which company has monthly fees that are lower.

Company A charges =220-180=40

Company A charges $40 per month.

Company B charges $45 per month

Because the slope is 45.

Therefore, Company A charges less per month then Company B.

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What is the truth value for the following conditional statement?
p: false
q: true
~q —> ~p
OFT F
OFT T
OTT T
OFF F

Answers

hello hope this helps

TT->T

How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7

Answers

The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.

How can the the number of times that is required to find?

T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :

( 8* 10^- 5 ) /( 2 *10 ^-7) = 400

This implies that the value of 8* 10^- 5 is  larger than 2 *10 ^-7, in 400 folds.

Therefore, option C is correct.

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PLEASE HELP will give BRAINLIEST

What is the domain for the exponential function f (x) = –4log(x + 2)?

Answers

Answer:

The domain for this function is all real numbers greater than -2.

please solve the questions on the paper

Answers

The values of the equations that are given will be:

17. b + 9 and -b + 7

18. c - 4 and c + 4

19. a + b - c and a + b + c

20. 5 + 2b and 5 - 2b

21. 4 - h - b and -b + h - 4

22. 2 - b - 2h and b - 2

How to express the equation?

Based on the information given, it should be noted that the equations will be expressed thus:

It should be noted that an equation is used to show the relationship between the variables. The equations will be:

17. |b + 1| + 8

= b + 1 + 8

= b + 9

and

|b + 1| + 8

= -b - 1 + 8

= -b + 7

18. 5 - |c + 1|

= 5 - c + 1

= - c + 4

= c - 4

and

5 - |c + 1|

5 + c - 1

= c + 4

19. |a + b|- c

= a + b - c

and

-a - b - c

Multiply through by -

= a + b + c

20. 5 + |2b|

= 5 + 2b

and

5 + |2b|

= 5 - 2b

21. |4 - h| - b

= 4 - h - b

and

-4 + h - b

= -b + h - 4

22. |2 - b - h| - h

= 2 - b - h - h

= 2 - b - 2h

and

-2 + b + h - h

= b - 2

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A baker uses 1 1\2cups of flour to make 12 cupcakes. How much flour does the baker use to make 288 cupcakes?

Answers

Answer is 36 cups flour for 288 cupcakes

We can find the answer using cross multiplication

First change 1 1/2 cups to 1.5 for easy math

1.5c flour / 12 cupcakes = x flour/ 288 cupcakes

1.5 x 288 = 12 x

432 = 12x

36 = x

36 cups flour for 288 cupcakes

You can also find the ratio of flour to cupcakes. 1.5 ➗ 12 cupcakes = .125

Multiply ratio of .125 x 288 cupcakes you get 36 cups flour.

2. Is this graph a function?
This is not a function

Answers

Answer:

This graph is not a function

Step-by-step explanation:

Because it fails the Vertical line test

SOLVE FOR X.

PLS HURRY

Answers

x = 52

In this question we have 3 lines, where 2 parallel lines intersect the other.

Now, because the 2 lines are parallel, their corresponding angles are congruent. Therfore, we can derive the equation:

[tex]2x-43 = x+9[/tex]

First, we need to move 43 to the right side.

[tex]2x = x+9+43[/tex]

Next, we add 9 and 43.

[tex]2x = x+52[/tex]

Then, we move x to the left side.

[tex]2x-x = 52[/tex]

Finally, we subtract the left side.


[tex]x = 52[/tex]


Which graph shows a set of ordered pairs that represents a function?

Answers

Answer:

First graph.

Step-by-step explanation:

A set of ordered pairs is a function if for every x value there is one y value. The set of ordered pairs functions if they pass the vertical line test. If a vertical line is drawn then the line will cut at only one point. In the first graph for all x values we have different y values so the ordered pairs represent a function.

What’s 4 divided by 6/5?

Answers

Answer:

10 / 3

Step-by-step explanation:

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

The value of 4 divided by 6/5 is 10/3 .

Given,

4/ (6/5)

Here,

The whole number is divided by fraction , so the denominator of the fraction will be multiplied from the whole number and the resultant will be divided by the numerator.

So,

4 divided by 6/5

4 / 6 / 5

4 ÷ 6 / 5

4 × 5 / 6

20 / 6

10 / 3

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Solve for value of x which makes line m and n parallel

Answers

2x40 equals 80 because a straight line is 180°

9. Higher Order Thinking Explain why when dividing fractions with the
same denominator, you can find the quotient by dividing the numerators.
Support your answer with an example using one or more mixed numbers.

Answers

One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient

What is a quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.

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Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Carlos
can use while staying within his budget.

Answers

Answer:

57 + 5x < 65

Step-by-step explanation:

57 + 5x < 65

5x < 8

x < 1.6

A
X -2
y
C
4
-1
1
−2
10. Construct an exponential equation for the data presented in the table.
y = 2 (1)x
y = 1. (2)x
y = 2.(x) ¹
y = 1. (x)²
B
0
1
D
1
2
2
4

Answers

Answer:

b

Step-by-step explanation:

put -2 on x and you will get a value of 1/4

(can use other number on table too but must got the same value of y)

example: use -1 for x and the answer must be 1/2

WILL GIVE BRAINLIST TO BEST ANSWER

Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.

-3, 6, -12, 24,…

Answers

Answer:

This sequence is geometric with common ratio -2.

An apartment building owner charges $905 to each apartment for rent month if the building is currently renting 64 apartments how much money does the building owner collect in each month?

Answers

57,920 dollars a month.

Answer: 57920 per month

Step-by-step explanation: 905 x 64 = 57920

Work out the surface area of the cylinder where the radius is 7 and the height is 12

Answers

Answer

625.52(pie)

Step-by-step explanation:

What is the WHOLE NUMBER solution to this system? Write your answer as an ordered pair (x, y). If the system does not have a solution, write NONE in the answer. Sy=2x² + 16x + 24 y=-x-2​

Answers

Answer: 2(2−x)(x−6)

Step-by-step explanation:

Write a division expression that is equivalent to 8/15 x (- 3/5)

Answers

X is denoted as x or multiplication sign?

(a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

Answers

according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?

1 hour = 60 minutes

46 hour = 46*60= 2760 minutes

in one year total number of days =365 days

in 365 days spent on project= 2760 minutes

per day spent on project = 2760/365

                                          = 7.56minutes

Hence  according to the line of best fit,  the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes

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