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%
What is the probability of rolling a 1 ora 4 on a number cube labeled 1 through 6?
Answer:
For each number, there is a 1/6 probability of rolling it (so 1/6 for the 1 and also 1/6 for the 4).
This means that the probability of rolling either a 1 or a 4 on a given roll is
1 /6 + 1 /6 = 2/6 = 1/3
hope this answer helps you.....
Answer:
Is 1/6
Step-by-step explanation:
You roll a 6-sided die.
What is P(5)?
Answer:
1/6
Step-by-step explanation:
you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.
you roll it once, so the probability that you will roll a five is 1/6
this is because you only want one specific number so that goes on the numerator of the fraction.
then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction
Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.
Answer:
11.1 feet
Step-by-step explanation:
When you are given a right triangle with a given angle and side, you can use
trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.
These ratios can be remembered by the mnemonic:
SOH CAH TOA.
S O H → Sin (Sine) = Opposite / Hypotenuse
C A H → Cos (Cosine) = Adjacent / Hypotenuse
T O A → Tan (Tangent) = Opposite / Adjacent
______________________________________
The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.
Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.
Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.
Because: 36 = Hypotenuse Side.
cos(72)° = Adjacent Side / Hypotenuse Side.
36 × cos(72°) =
36 × 0.309016994374... = 11.12461179749... ≈ 11.1
what is 22% of 45
what is 32.5% of 250
Answer:
22%*45=
(22:100)*45 =
(22*45):100 =
990:100 = 9.9
32.5%*250=
(32.5:100)*250 =
(32.5*250):100 =
8125:100 = 81.25
Answer:
1) 9.9
2) 81.25
Step-by-step explanation:
1)
22% = 0.22
45(0.22) = 9.9
2)
32.5% = 0.325
250(0.325) = 81.25
dude I don’t even know anymore
Answer:
just use the line on the graph :D
Step-by-step explanation:
f(6) =2
the maximum is 7
hope this helps!
Questions about the domain (time in minutes) of the table of values:
(a) What is the minimum (lowest) time value in minutes?
(b) What is the maximum (highest) time value in minutes?
(c) What is the domain (all the time values on the x-axis)?
Need Help?
HEKEIAINF AIUOSF AOFNK IO:SAB AIOSFBJK ASMEHELPPP
Answer:
Ummm give me a second let me solve this
A box in the shape of a triangular prism is painted for a project. Which formula would be used to find the lateral surface area of the triangular prism?
Answer:
LSA = (a+b+c)×h
Step-by-step explanation:
The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)
Let us assume that three side of triangle are a, b, c and height of prism is h
Then lateral surface area of the prism can be LSA = (a+b+c)×h
What is the value of the expression below? ( 3 + 1 × 5 ) 2
Answer:
(3+ 5)2=8*2=16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
(3+1*5)2
B- brackets
I- indices
D- division
M- multiplication
A- addition
S- subtraction
1*5=5
5+3=8
8*2=16
Please help I’ll give brainliest
Answer:
50
Step-by-step explanation:
Answer: the tip you should leave is 4.2
14 is 0.04
do 0.04 times 30 and you get 4.2 which is 14 % of 30
Step-by-step explanation:
Amanda is pumping water into an aquarium at a rate of 12 liters per minute the aquarium had 42 liters of water in it before she started her goal is given by 13x+42<_234 where x is the number of minutes she pumps water into the aquarium
Answer:
Let x represent minutes.
The inequality derived from the question is...
58 > 18 + 5x
Solve for x...
58 > 18 + 5x
58 - 18 > 5x
40 > 5x
40/5 > x
8 > x
So it will take more than 8 minutes to have 58 liters.
Step-by-step explanation:
HELLPPP
Describe in words how to map AABC to its image
AAB'C'.
Answer:
Reflected across thhe Y-Axis (I think thats what your looking for)
*what shape is the cross section
(giving brainliest if correct !)
Answer:
Triangle!!
Step-by-step explanation:
If you cut the pyramid in half, it will leave triangles. Hope this helps!
i need help please !!
Answer:
Step-by-step explanation:
Number of people 41 - 50 who read DIY books = 69
Total number of people = 750
% reading DIY = (69/750) * 100 = 9.2%
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
If f(x) equals 4^x- 8 and g(x) equals 5times + 6, find (f-g)(x)
math question pls help
help please 5th grade math
Answer:
Stanley needs 31 feet and 2 inches of fencing.
Step-by-step explanation:
In order to answer this problem, you need to find the perimeter of the dog run.
Since: [tex]P=2(l+w)[/tex]
and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches
Plug in what we know :
[tex]P=2(149+56)[/tex]
and solve:
[tex]P=410[/tex] inches
The dog run has a perimeter of 410 inches.
However, now we need to subtract 36 inches since the gate doesn't need fencing.
[tex]410-36=374[/tex] inches.
The dog run needs 374 inches of fencing.
In order to find out how many feet of fencing that is, divide it by 12.
[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.
Answer:
31 feet and 2 inches of fencing :))<3
Step-by-step explanation:
Please answer my math question
x=2 or x=-8 are the answers to the questio.
given the graph of g (x) below determine g (1)
Answer:
-2
Step-by-step explanation:
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
Point M is the midpoint of CD¯¯¯¯¯¯¯¯. C has coordinates of (-1, 1) and D has coordinates of (5,-5). What are the coordinates of point M?
Answer:
The answer is (2,-2)
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
find the measure of each interior angle in a regular 18-gon
Answer:
A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.
Step-by-step explanation:
find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.
A 163
B 230
C 300
D 233.3
find the measure of the missing angles
Answer:
<B = 18
x+23 = 35
5x = 60
Step-by-step explanation:
Answer:
12. 18
14. x = 12; x + 23 = 35; 5x = 60
Step-by-step explanation:
12.
100 = ? + 82
? = 18
14.
x + 23 + 5x + 85 = 180
6x + 108 = 180
6x = 72
x = 12
x + 23 = 12 + 23 = 35
5x = 5 * 12 = 60
Can somebody plz help answer these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD
Answer:
Shown Below
Step-by-step explanation:
WPT = 90
WPV = 30
VPT = 60
VPS = 90
RPS = 60
WPS = 120
QPS = 150
hey could someone help me with this. i’ll mark u brainiest if u don’t leave a link.
Answer:
10,000
Step-by-step explanation:
10 to the power of 4 is equal to 10x10x10x10 which is 10,000! I hope this helps
Answer:
the answer will be 10000!
Step-by-step explanation:
10 x 10 x 10 x 10 = 10000
or...
10 x 10 = 100
100 x 100 = 10000
or...
jusr simply add 4 zero to 1!
solve for x and y.
A x=6; y=10
B x=13.5; y=10
C x=6;y=5
D x=13.5; y=5
Answer:
B x=13.5; y=10
this is answer
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
I think 96° but not fully sure sorry if wrong