help help area and perimeter

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

Answer:

5x5x5x5x5x5

Step-by-step explanation:

Answer:

-$12

Step-by-step explanation:

Add the spendings

$81+$44=$125

Subtract base number and solution

$114-$125=-$11

-$12 is a greater debt than -$11

Answer:

∡b = 53°

∡d = 127°

∡c = 127°

Step-by-step explanation:

in trapezoids, the two top angles are equal and the two bottom are equal

also, there are 360 degrees in any 4-sided polygon

53 + 53 + x + x = 360

2x + 106 = 360

2x = 254

x = 127

Answer:

127

Step-by-step explanation:

Answer: 163 students

Step-by-step explanation:

First find the percentage of students who were in favor of having school  start one hour later based on the sample of 20 students.

= 13/20 * 100%

= 65%

The apply this percentage to the total number of students in school to find your answer:

= 65% * 250 students

= 162.5

= 163 students

The number of students in the school who are in favor of having school start one hour later is; C: 163 students

We are told that 13 out of the 20 surveyed students were in favour of having school start one hour later. Thus;

Probability = 13/20 * 100% = 65%

Now, the school has 250 students and as such, the number of students in the school who are in favor of having school start one hour later is;

65% * 250 students = 162.5 ≈ 163 students

Read more about Random Sample at; https://brainly.com/question/14470673

Step-by-step explanation:

if you do 14 divided by 7 gives you 2 am I right

Answer: 103832

Step-by-step explanation:

Answer:

1) markdown

2) percent error

3) principle

4) percent change

Step-by-step explanation:

markdown

percent error

principle

percent change

Hope I could help <3

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

Answer:

4 Acute

Step-by-step explanation:

uwg2vrus7wgwceuwvw.

The two angles with y in them need to add up to 180 degrees

10y + 3y + 11 = 180

Simplify:

13Y + 11 = 180

Subtract 11 from both sides

13y = 169

Divide both sides by 13

Y = 13

Now solve for those two angles:

10y = 10(13) = 130

3y + 11 = 3(13) + 11 = 50

The other two angles are the same as these.

The larger angles = 130

The smaller angles = 50

Answer:

2 paunds is the answer this is simple math broski

Answer:

i don't know

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

Answer:

50ft

Step-by-step explanation:

Hi,

Considering that one side is equal to 38 degrees, we know this isn't a 30 - 60 - 90 triangle.

One of the legs is equal to 40 feet

So, tan(b) = 40/x

tan(38 degrees) is 0.78 round up to 0.8 (if that's what your teacher wants)

0.8 = 40/x

0.8x = 40

x = 50ft

I hope this helps

Answer:

D) Angle angle angle

Answer:

10

Step-by-step explanation:

4 hits                     x hits

_______ =     _________

20 at-bats        50 at -bats

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=k[tex]\sqrt{x}[/tex]

60=k[tex]\sqrt{36\\}[/tex]  =k6

k=60/6 =10

This is your equation

y=10[tex]\sqrt{x}[/tex]

Put the numbers in

80=10[tex]\sqrt{x}[/tex]

80/10=8 then you have to square this so

[tex]8^{2}[/tex]=64

x=64

Answer:

Because you first take 75% off of the first price then 25% off the discounted price

Example:

Lets say you have a item that cost $50 and you use a 75% discount card that will make the item $37.5. The you add an additional 25% off which will equal $9.38.

The length is 4.5 inches and the width is 2.5

divide the scale factor 1:16  to the real life lawn measure being 9 inches by 5  inches and that gives us

The length of  inches and  inches

Hope this helps

Answer:

$[tex]3.83[/tex]

Step-by-step explanation:

[tex]23[/tex] divided by [tex]6=3.83333333333.....[/tex]

We round to nearest cent. [tex]3.83[/tex]

Answer:

26 gallons of gas

Step-by-step explanation:

168 miles = 14 gallons of gas

312 miles = x gallons of gas

168 miles/14 gallons of gas = 312 miles/x gallons of gas

x = [tex]\frac{312 * 14 }{168}[/tex]

x = 26 gallons of gas

I think this is the answer

you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x

Answer:

d. 4,096

Step-by-step explanation:

i hope this helps :)

Answer:

sam eg

Step-by-step explanation:

Answer:

I think it's 36 because the mean stayed the same when the person walked in the room so the logical inferance is that the person was 36.

Step-by-step explanation: Hope that helped you! (❁´◡`❁)

Answer:

7 and 4

Step-by-step explanation:

Answer:

7 and 4

Step-by-step explanation:

7 x 4 = 28

&

7 + 4 = 11