Write an expression that is equivalent to 7^3/4

Complete Question

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in.If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample

Answer:

The range is  from   [tex] \=x_1   = 6.312 [/tex]  to  [tex] \=x_2  = 6.488  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 6.4 \ in[/tex]

   The standard deviation  [tex]\sigma =  0.9 \  in[/tex]

    The sample  size is  n  =  47  

Generally the standard error is mathematically represented as

               [tex]\sigma_{\= x} =  \frac{0.9}{\sqrt{47} }[/tex]

=>             [tex]\sigma_{\= x} =   0.13128 [/tex]

Generally the proportion where the middle 50% of most average for the breaths of male heads in the sample is mathematically evaluated as

 [tex]P(\= x_1 <  \= X  <  \= x_2 ) =  P(\frac{\=x_1 - \mu }{\sigma_{\= x} } < \frac{\= X - \mu }{\sigma_{\= x} }   <  \frac{\=x_2 - \mu }{\sigma_{\= x} } ) =  0.5[/tex]

Generally  [tex]\frac{\= X - \mu }{\sigma_{\= x} }  =  Z(The \  standardized \  value  \  of  \  \= X )[/tex]

So

 [tex]P(\= x_1 <  \= X  <  \= x_2 ) =  P(\frac{\=x_1 - 6.4}{ 0.13128 } <Z  <  \frac{\=x_2 - 6.4 }{0.13128} ) =  0.5[/tex]  

From the z table  the z-score of  0.5 is

  [tex]z-score =   \pm 0.674[/tex]

So

      [tex]\frac{\=x_1 - 6.4}{ 0.13128 } = -0.674[/tex]

       [tex] \=x_1   = 6.312 [/tex]

and

        [tex]\frac{\=x_2 - 6.4}{ 0.13128 } = 0.674[/tex]

          [tex] \=x_2  = 6.488  [/tex]

Answer:

3x+2x=95

5x=95

X=19

Step-by-step explanation:

it may help you to understand

Answer:

8.25÷53790 is 0.00015337423 and the other one is 0.00015337423

1. The solution of the expression '' 8.25 divided by 53790 '' will be 0.00015337423.

2. The solution of the expression '' 825 divided by 5379000 '' will be 0.00015337423.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mathematical expression are;

1. 8.25 divided by 53790

2. 825 divided by 5379000

Now,

After divide we get;

1. 8.25 divided by 53790 = 8.25 ÷ 53790

8.25 ÷ 53790 = 8.35 / 53790

                     = 835 / 5379000

After divide we get;

= 0.00015337423

Thus, 8.25 ÷ 53790 = 0.00015337423

2. The expression is;

825 divided by 5379000 = 825 ÷ 5379000

                                        = 825 / 5379000

                                        = 0.00015337423

Thus, 825 ÷ 5379000 = 0.00015337423

So, Both the expression have same solution.

Therefore,

1. The solution of the expression '' 8.25 divided by 53790 '' will be 0.00015337423.

2. The solution of the expression '' 825 divided by 5379000 '' will be 0.00015337423.

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Answer:

No

Step-by-step explanation:

Given that:

Amount earned when a student does comminty service = $5

Number of students in club = 12

Amount earned E, is a function of number of members (n) who does community service.

Hence,

E = n * amount earned per member

Is 24 a possible output?

To test, then E = 24

24 = n * 5

24 = 5n

24/5 = 5n/5

4.8 = 5

Hence, 24 is not a possible output, be use number of membwra cannot be a decimal

To trisect a 60-degree angle you first construct an equilateral triangle.

Option C is the correct answer.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

To trisect a 60-degree angle, we can use the fact that an equilateral triangle has three 60-degree angles.

The steps to trisect a 60-degree angle using an equilateral triangle are as follows:

Draw an equilateral triangle with one of its vertices at the angle to be trisected.

Draw a line from the vertex of the angle to the opposite side of the triangle, dividing the angle into two 30-degree angles.

Draw a line from the vertex of the angle to the point where the opposite side intersects the circle centered at the vertex with a radius equal to the length of one side of the equilateral triangle. This will divide one of the 30-degree angles into two 15-degree angles.

Draw a line parallel to the opposite side of the triangle from the point where the 15-degree angle is divided to the adjacent side of the triangle. This will trisect the 60-degree angle into three 20-degree angles.

Thus,

By constructing an equilateral triangle, we can trisect a 60-degree angle.

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Answer: bruh i have the exact same question

Step-by-step explanation:

Answer:

second one pretty sure

Step-by-step explanation:

Answer:

0.208333.....

or

Step-by-step explanation:

5 / 4

if you look at 7/8 + 2/3

remove the ( you do not need them

now look at 7/8 -2/3

add fractions together

it becomes 5/4

results should be 5/4

there's your answer I hope it works please give me brainiest

Find the y-intercept and x-intercept

1) Find the x-intercept, substitute y = 0

0 = -x-5

5=-x

x= -5

Therefore, the x-intercept is at -5

2) Find the y-intercept, substitute x = 0

y= -0 - 5

y = 0 - 5

y = -5

Therefore, the y-intercept is at -5 too.

Plot the line graph from x = -5 to y = -5 and it should be like this.

Note - You can easily find the y-intercept just looking at "b value" from y = mx+b when m is the slope and b is the y-intercept.

Answer:

Step-by-step explanation:

1) since -5 is graphed in the equation we know the y-intercept is -5

2) since we already know the point (0,-5) form the y-intercept, we pick x-values and plug them into the equation. I'll use -4, 3, and 9

y=-x-5      y=-x-5     y=-x-5

y=-9-5      y=-3-5    y=--4-5

y=-14        y=-8        y=-1

3) we then plot the 4 points we found and draw a straight line connecting them, and then we put arrows on either side of the line because the question did not say that it was a line segment.

4) And check your work by going to Google and typing "student desmos graphing calculator" and typing in your equation.

Answer:

The function is Speed, f(t) = x/t

Step-by-step explanation:

The given information are;

The distance the man drove = 40 miles

The duration of time the man drove = 2-hours

Given that a function maps each item of the input domain to a single item of the output domain, we can have the following relation for the above parameters;

Speed = (Distance travelled)/(Time taken)

Where, speed f(t), is a function of the time taken, t, to travel a distance x

The function is therefore;

Speed, s = f(t) = x/t

Speed = 40/2 = 20 mile per hour.

Answer:

The function is Speed, f(t) = x/t

Step-by-step explanation:

its late but i hope it helps

Answer:

D

Step-by-step explanation:

Given

17 ≤ - 3x + 2 ≤ 26 ( subtract 2 from each of the 3 intervals )

15 ≤ - 3x ≤ 24

Divide the 3 intervals by - 3, reversing the symbols as a result of dividing by a negative quantity.

- 5 ≥ x ≥ - 8 , that is

- 8 ≤ x ≤ - 5 → D

[tex]17 \leqslant - 3x + 2 \leqslant 26[/tex]

Subtract sides -2

[tex]17 - 2 \leqslant - 3x + 2 - 2 \leqslant 26 - 2 \\ [/tex]

[tex]15 \leqslant - 3x \leqslant 24[/tex]

Divided sides by -3

=======================================

Point :

When the sides of a inequality multiply or divided by an negative number It changes direction and returns them.

=======================================

Thus ;

[tex] \frac{15}{ - 3} \geqslant \frac{ - 3}{ - 3}x \geqslant \frac{24}{ - 3} \\ [/tex]

[tex] - 5 \geqslant x \geqslant - 8[/tex]

[tex] - 8 \leqslant x \leqslant - 5[/tex]

Thus the correct answer is (( D )) .

_________________________________

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Answer:

w = 38

Step-by-step explanation:

add 13 to 25 to get 38 so w = 38

Answer:

4 2/11

Step-by-step explanation:

The absolute value is the distance between a number and zero. This means that absolute value cannot be negative because you cannot travel a negative distance. The distance between - 4 2/11 is 4 2/11.

Hope This Helps :)

The absolute value of -4(2/11) is 46/11.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-4(2/11)

= -46/11

Now,

The absolute value.

= |-46/11|

= 46/11

Thus,

The value is 46/11.

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Answer:

2(-2)2=0

Step-by-step explanation:

if you meant to put it a different way tell me and i can do the correct one, just because this one seems weird lol

The value of the function when x = -2 then g(-2) = 4.

A function is defined as a relation between the set of inputs having exactly one output each. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can be represented by mathematical symbol.

WE have been given an function as g(x) = 2x² - 4

Now plug the value x = -2 in the given function;

g(-2) = 2(-2)² - 4

g(-2) = 2 x 4 - 4

g(-2) = 8 - 4

g(-2) = 4

Therefore, the value of the function when x = -2 then g(-2) = 4.

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There is no requirement in the question. I'll calculate the area of the rectangle to help you with this question.

Answer:

[tex]A=15\ cm^2[/tex]

Step-by-step explanation:

System of Equations

Let's call y to the length of a rectangle, x to its width. There are two conditions that will help us to solve for x and y.

[tex]y=3x-4[/tex]

[tex]2x+2y=16[/tex]

Divide by 2:

[tex]x+y=8[/tex]

To solve the system, we'll substitute the y in the first equation into the second:

[tex]x+3x-4=8[/tex]

Joining like terms:

[tex]4x=8+4[/tex]

Solving:

[tex]x=12/4=3[/tex]

Find the value of y:

[tex]y=3x-4=3*3-4=9-4=5[/tex]

Thus, the length of the rectangle is 5 cm and its width is 3 cm. The area is calculated as:

[tex]A=xy=3\ cm\cdot 5\ cm=15\ cm^2[/tex]

[tex]\boxed{A=15\ cm^2}[/tex]

Answer:

58 ≤ x ≤ 126

Step-by-step explanation:

hopefully i understood that

Answer:

o resultado é 961

foi mal se erei

Answer:

the same

Step-by-step explanation:

because the binomial and trinomial is the same

Answer:

Slope: 5/3, y-intercept (0,-3)

Step-by-step explanation:

Answer:

The present age of Dave is 40 years

Step-by-step explanation:

Let the present age of Johns be x

We are given that Dave is six years less then twice Johns  age.

Dave's present age = 2x-6

We are also given that The sum of John and Dave's ages is 63.

So, [tex]x+2x-6=63[/tex]

[tex]3x-6=63[/tex]

[tex]3x=63+6[/tex]

[tex]3x=69[/tex]

[tex]x=\frac{69}{3}[/tex]

[tex]x=23[/tex]

Dave's present age = 2x-6=2(23)-6=40

Hence The present age of Dave is 40 years

Answer:

The reason is because there is a constant rate of change. notice how the rise over run stay the same even though they dont fall on the exact point's.

Use rise over run to find the first part of your answer, then use the slope formula to find out the rest. the slope formula is m = rise over run.

Step-by-step explanation:

where m= slope, and rise over run will help you find the slope.

Answer:

false

Step-by-step explanation:-3 in the () means -3 x -3 which is positive 9, where as without () it's -3x3 which is -9. Positive 9 is bigger than -9.

Answer:

False

Step-by-step explanation:

-3^2 = -(3^2) = -(3 × 3) = -9

(-3)^2 = -3 × -3 = 9

-9 < 9

Answer:

6

Step-by-step explanation:

12 x 2 = 24

24 : 4 = 6

Answer:

1. if its (5+2^3)/4-2 then its 6.5

2. if its just 5+2^3/4-2 then its 5

Step-by-step explanation:

1. (5+2^3)/4-2

   (5+8)/4-2

   (13)/4-2

    (13)/2

    6.5

2. 5+2^3/4-2

   5+8/4-2

  5+2-2

 7-2

 5

Answer:

32

Step-by-step explanation:

Absolute value of |-32| = 32

Answer: |-32|

Step-by-step explanation:

Answer:

1 degrees and 60 degrees

Step-by-step explanation:

Answer:

nope sorryyyyyy

Step-by-step explanation:

Answer:

1km per minute

Step-by-step explanation:

Given the table in the picture :

The average rate of change over the interval from 8 to 15 minutes will be :

Change in distance / change in time

Change in distance between 8 and 15 minutes :

Distance d1 at 8 minutes t1 = 7km

Distance d2 at 15 minutes t2 = 14km

Average rate of change = (d2 - d1) / (t2 - t1)

Average rate of change = (14 - 7)km / (15 - 8)min

Average rate of change = 7km / 7minutes

Average rate of change = 1km per minute

Answer:

The rate of change is 1 kilometer per minute

Step-by-step explanation:

Answer:

11.

[tex]1 \times \frac{3}{8} [/tex]

12.

[tex]2 \times \frac{5}{6} [/tex]