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%
Hi please help thank you
How do u do this problem?
Answer:
5.5
Step-by-step explanation:
[tex]\frac{1}{2} |x_{1} (y_{2} -y_{3}) + x_{2} (y_{3} -y_{1} ) + x_{3} (y_{1}- y_{2} ) |\\= \frac{1}{2} \times |5(4-5) + 8 (5-2) + 4(2-4) |\\=\frac{1}{2} \times |-5 +24 + -8 |\\=\frac{1}{2} \times 11\\= 5.5[/tex]
PLS HELP!!! The figure below has a point marked with a large dot.
First, translate the figure 7 units up.
Then, give the coordinates of the marked point in the original figure and the final figure.
Can some one explain how to do it please. I am so confused.
Hi there!
Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.
Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.
And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a [tex]\sqrt{2\\}[/tex] right next to it. So your answer will be:
[tex]5\sqrt{2}[/tex]
I hope this helps! :)
Over 5 days, Kimberly sheared 300 sheep. How many would she be able to shear in 26 days?
What was her rate per day?
Answer:
Kim shears 1560 sheep in 26 days.
Her rate per day is 60.
Step-by-step explanation:
For 26 days:
[tex]\frac{5}{300} =\frac{26}{x} \\\\5x=7800\\x=1560[/tex]
For per day:
[tex]\frac{5}{300} =\frac{1}{x} \\\\5x=300\\x=60[/tex]
Solve the equation 18 = 3 + 5x for x.
Answer:
[tex]18 = 3 + 5x \\ 5x = 18 - 3 \\ 5x = 15 \\ x = 3[/tex]
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15 and 3 x 5 = 15. However there is a way to check which would be doing 5 x 1 + 3 and 5 x 2 + 3 and so on and so on until you find your answer.
Hi!! Please explain how you got the answer, thanks!! :))
Start out by finding the area of the square.
a = 4²
a = 16
Since all we have to look at is 1/4 of this square, multiply the area by 1/4.
(16)1/4
4
The area of the triangle is 4.
Now we need the area of the circle.
a = πr²
Sub: a = π(2)²
a = π(4)
Since the portion of the circle that covers the triangle is 1/4 of the circle, subtract 1/4 of the area of the circle from the area of the circle.
a = 4 - 1/4(π(4))
a = 4 - 1/4π x 1
a = 4 - 1/4π
Now this is where it's supposed to go, considering the fact that π isn't given a value.
Normally, I'd use 3.14 for π, as the entire population would, and then it would be easy, but obviously that isn't an option.
Now this answer isn't up there, so my best option is to tell you it's most likely c, and I hope I'm right.
Uhh good luck I guess this math test is weird
-Xax
Solve for x round your answer to the nearest tenth 13 18 x
Answer:
x=24.9
Step-by-step explanation:
Use pythagoras theorem to find half of x which is 12.45 then multiply by 2 to get x
Estimate the solution of the system x+y=4 2x-y=6 by sketching a graph of each linear function. Then solve the system algebraically. Use your estimate to judge the reasonableness of your solution. The estimated solution is The algebraic solution is The solution is/is not reasonable because
Answer:
(10/3, 2/3)
Step-by-step explanation:
You may find it easier to write these two equations x+y=4 2x-y=6 in a column:
x+y=4
2x-y=6
Adding these together will eliminate y:
3x = 10. Then x = 10/3.
Substituting 10/3 for x in the first equation results in:
10/3 + y = 4
Clear fractions by multiplying all three terms by 3:
10 + 3y = 12
Then 3y = 2, and y = 2/3.
The solution is (10/3, 2/3)
What is the area of the triangle ?
Answer:
I atttached some screenshots of something that explinaed better than I can. Another way to do it is rations. If you cna determine each of the angles, then you can set the sides equal to each other and find the missing sides otherwose this is proballu the best way to do it.
Step-by-step explanation:
He has the answer so just copy what he said
find the perimeter of these figures *
please*
Answer:
The perimeter of figure a is 44 inches, the perimeter of figure b is 72 inches.
Step-by-step explanation:
The sides of figure a is 8; 2; 3; 12; 2; 12; 3; 2, to get the perimeter, add all the sides together, which will be 8 + 2 * 2 + 3 * 2 + 12 * 2 = 8 + 4 + 6 + 24 = 12 + 30 = 42 inches. The sides of figure b is 3; 3; 3; 3; 13; 13; 5; 5; 5; 5; 7; 7, to get the perimeter, add all the sides together, which will be 3 * 4 + 13 * 2 + 5 * 4 + 7 * 2 = 12 + 26 + 20 + 14 = 32 + 40 = 72 inches.
Answer:
a) 44
2 + 8 + 2 + 8 + 12 + 12 = 44
b) 72
13 + 13 + 3 +3 +3 +3 +5 +5 +5 +5 +7 +7 = 72
Step-by-step explanation:
Plzzz help!!! ill givee brainliest!!!!
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term
Answer:
b) 2 was not multiplied by 5
Step-by-step explanation:
Correct answer: 2x + 10
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
I think the answer is B. If not its probably c. The answer is between those two.
Step-by-step explanation:
Hope this helped
7(3+5)=
you have to hurry
Answer:
56
Step-by-step explanation:
7(3+5)=
Use PEMDAS
SOLVE WITHIN PARENTHESIS (3+5);
3+5=8
=8
Multiply and DIVIDE from left to right
7*8=56
=56
Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!
HOPE THIS HELPED!!!
Which of the following functions translates the graph of the parent function f(x) = x2 horizontally left 8 units?
Ah(x) = x2 + 8
B. h(x) = (x – 8)
C. h(x) = x2 - 8
D. h(x) = (x + 8)2
Which fractions are equivalent to the fraction below check all that apply 12/21 ?
Need helpppp helppp plzzzz 20 points
Answer: 7^3/7^6= 1/343
Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.
So it would be 7^3/7^6
Which then would be 7*7*7/7*7*7*7*7*7
Which would equal 343/117649
Simplify and you get 1/343
Kevin is making trail mix for his hike tomorrow. He has 9
cups of candy coated peanuts, and 2 cups of granola.
How many bags can he make without having any
ingredients left over, but with every bag having the exact
same ratio of peanuts to granola?
Answer:
2
Step-by-step explanation:
This is the answer to Jo question
Answer:
Kindly check explanation
Step-by-step explanation:
The following mistakes could be explained observed from the plotted bar chart presented in the attachment :
1.) The numeric label of the y-axis which shows the number of text messages isn't well scaled, the numbering did not start from 0, hence this is a defect in the scaling of the bar chart.
2.) Looking closely, the plotted bars do not ALIGN well in terms of spacing as the interval between each bar isn't consistent.
3.) Both the x and y axis of the graph are t labeled thus failing to add a good and meaningful description to the plot especially for first time viewers.
Help!!
Mr. Morris gave his algebra class a test, the results of which are listed below.
68, 92, 74, 75, 86, 90, 92, 81, 60, 82, 77, 80
Shania was absent on the day of the test and had to take the test on a date after the scores were first posted. She earned a score of 99.
Which measure of the
class's test results did Shania's score most change?
interquartile range
mean
median
range
Answer: median
Step-by-step explanation:
Find the output, y, when the input, x, is 3.
Y=-5x+13
Answer:
y = -2
Step-by-step explanation:
y = -5x + 13
x = 3
y = -5(3) + 13
y = -15 + 13
y = -2
Answer:
Y = -2
Step-by-step explanation:
Y=-5x+13
Y =-5×3+13
Y= -15+13
Y = -2
A box contains 3 red pencils, 4 blue pencils, and 8 green pencils. Picking a yellow pencil from the box is
Answers:
Likely
Unlikely
certain
Impossible
jim has 6 apples, he gave away 2 apples, how many apples does jim have left
Answer:
Jim has 4 apples left.
Step-by-step explanation:
If you subtract 6 minus 2 you will get 4.
Answer: 4
Step-by-step explanation:
6-2=4
i know it’s a troll don’t worry
Michelle read 72 pages in 3 hours. What was her unit rate of pages read per hour?
Answer:
24 pages per hour
Step-by-step explanation:
72 pages = 3 hours
To find the rate of pages per hour, divide both sides by 3.
72/3 = 24, 3/3=1
24 pages per 1 hour, 24:1
Find the measure of the angle AED in the figure below
Answer:
112 degrees
Step-by-step explanation:
[tex] \frac{1}{2} \times \frac{3}{8} [/tex]
Please please please please please please please please help with my daily thing
Answer:
A
Step-by-step explanation:
Use the triangle shown on the right to answer the question Which equation can you use to solve for a? 30 sin (35) sin(35° ) 0 30 sin (359) sin(60°) sin(85° 30 sin (359)
Answer:
congruent acute angle, we will use properties of similar triangles to establish trigonometric function ... θ = - with θ in Quadrant III, what is. ( ) sin θ ? 35. If. ( ). 2 sin. 3 θ = - with θ in Quadrant III, what is. ( ) cos θ ? 36. If. ( ).
28. tan 60°. 29. sin 30°. 30. cos 45°. Use your calculator to find each trigonometric ratio. Round to the nearest hundredth. 31. tan 51°. 32. sin 80°. 33. cos 77°. 34. tan 14°. 35. sin 55°. 36. cos 48°. Skills Practice p. S18
Answer:b
On edge
Step-by-step explanation:
6 plates and 5 cups cost 32.10 dollars. 7 plates and 6 cups cost 37.70 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Answer:
the cost of 1 plate $4.1
the cost of 1 cup $1.5
Step-by-step explanation:
6p + 5c = 32.10
7p + 6c= 37.70
Multiply the first by 6
Multiply the second by -5
and then ADD both
36p +30c = 192.6
-35p-30c = -188.5 (30c is cancelled)
p = 4.1
4.1(6) +5c = 32.10
24.6 +5c = 32.10
5c = 7.5
c= 1.5
1.5(5) =7.5
24.6 + 7.5 = 32.10
if the side of a traingular fiels is in ratio of 6:9:10. if it perimeter is 2500m what is the area of that field
Answer:
266634.11 m^2
Step-by-step explanation:
The following information is given in the question
The ratio of the side of the triangular fields is 6:9:10
And, the perimeter is 2500m
We need to find the area of that field
So
Let us assume the 3 sides be x
Here so the sides be 6x,9x, 10x
Now the perimeter = sum of the length of all sides
2500 = 6x + 9x + 10x
2500 = 25x
x = 100
The three sides would be 600,900 and 1000
Now the area of that field would be
As we know that
The Area of the triangle as per the Heron Formula is
[tex]= \sqrt{s(s-a)(s-b)(s-c)} \\\\= \sqrt{1250(1250-600)(1250-900)(1250-1000)} \\\\= \sqrt{1250(650)(350)(250)} \\\\= \sqrt{71093750000}[/tex]
= 266634.11 m^2