Answer: It will take 1.875 hours
Step-by-step explanation:
Given that time t required to do a job varies inversely as the number of people working.
we have it expressed as
t∝1/N
where t is time required to do a job
N is the number of people working.
Introducing our constant of proportionality, we have tht
t=k1/N
t=k/N
Now since it takes 5 hr for 3 cooks to prepare the food , K becomes
t=k/N
5=K/3
K=5X3=15
Given that there are 8 cooks, time required to prepare dinner will be
t=k/N
t=15/8
t=1.875 hours
A survey found that women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts (a) through (c) below.
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%
ABCD is an isosceles trapezoid.
measure of angle b=
measure of angle d=
measure of angle c=
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:
What is the value of K?
k =
8
o
4
k
N
1
M
Answer:
m
Step-by-step explanation:
it should be
Write a linear function with the values f(0) = - 5 and f(3) = 4
[tex]f(x) = 3x - 5[/tex]
Explain.
[tex]f(0) = - 5[/tex]
[tex]f(3) = 4[/tex]
.
Find b[tex]3b - 0b = 4 - ( - 5)[/tex]
[tex]3b = 9[/tex]
[tex]b = \frac{9}{3} \\ [/tex]
[tex]b = 3[/tex]
.
Find f(1)[tex]f(1) = f(0) + b[/tex]
[tex]f(1) = - 5 + 3[/tex]
[tex]f(1) = - 2[/tex]
.
Find Function.
[tex]f(x) = f(1) + (x - 1)b[/tex]
[tex]f(x) = - 2 + (x - 1)3[/tex]
[tex]f(x) = - 2 + 3x - 3[/tex]
[tex]f(x) = 3x - 3 - 2[/tex]
[tex]f(x) = 3x - 5[/tex]
[tex] \rm{}fumction \to \boxed{f(x) = 3x - 5}[/tex]
.
#LearnWithBrainly
Which graph shows y=⌊x⌋+2?
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ez if ur good at this helpp
Answer:
option d, because option a is about 135 degrees, and it isn't negative.
option d is the only choice which is between 90-180 degrees, and is also negative.
Step-by-step explanation:
1. 28, 48 and 72 are three
number
c) Determine H.C Fof the
three numbers by using
prime factors.
S
#he
Answer:
4.
Step-by-step explanation:
28 = 2*2*7
48 = 2*2*2*2*3
72= 2*2*2*3*3
So the HCF = 2*2 = 4.
Answer:
hcf stand's for
highest common factor
and must be prime numbers
so the answers 3
A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).
Answer:
2/9
Step-by-step explanation:
Rose writes down all of her math quiz scores. Her math scores are 98,78,84, and 96. What is the mean of her math quiz scores?
98+78+84+96= 356
Now we will count
there are 4 numbers
= 89
Your mean will be 89
A car travels 168 miles on 14 gallons of gas. How many gallons will it need to travel 312 miles?
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
The mean age of 5 people in a room is 36 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
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! (❁´◡`❁)
A, B and C lie on a straight line.
Given that angle y = 135° and angle z = 97°, work out x.
Answer:
135°+97°+x=180°. 232°+x=180°. x=232-180=102°
:x=102°
Here’s the Question that I have to do.
Answer:
d. 4,096
Step-by-step explanation:
i hope this helps :)
this is geometry find x!
Answer:
8
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the intercepted arc.
m<T = (1/2)m(arc)SU
9x - 25 = 47
9x = 72
x = 8
Answer: x = 8
Madison finished of her homework
before dinner. What percent of
Madison's homework is left to finish?
15%
Answer:
I didn't understand your question
PLEASEEEEEEEE HELLLP MEEE!!! GIVING 95 POINTS!!!
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
I need help with this
Answer:
i don't know
Step-by-step explanation:
is y=x^2-4 linear or non linear
Answer:
Non linear, because x is squared. It's a bi-quadratic polynomial, not a linear polynomial.
Answer:
The polynomial y = 2x² - 4 is a bi - quadratic polynomial & hence is a non - linear polynomial.
4.
Kamisha has $114 In her bank account. She spends $81 on groceries, and she spends $44 at the
book store. Which number represents a debt greater than Kamisha's?
-$12
- $10
$10
$12
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
HELPPP ASAP 10 POINTS
Answer:
4 Acute
Step-by-step explanation:
uwg2vrus7wgwceuwvw.
The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.
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].
Can someone plz help with this problem??
Answer:
17,2
Step-by-step explanation:
X = 21×cos35° = 21 × 0,82 = 17,20
Moe painted the lid of the barrel. The circumference of the barrel is 32*3.14 inches. What is the area of the lid in square inches?
Answer: 803.84 inch²
Step-by-step explanation:
The lid will take the appearance of a circle so the area of the lid is the same as the area of a circle:
Area of a circle = π * radius²
The circumference of a circle is:
= π * diameter
Looking at the above, the diameter is 32inches because this is the figure to be multiplied with π = 3.14 to find the circumference.
Since diameter is 32, radius will be:
= 32 / 2
= 16 inches
Area = 3.14 * 16 * 16
= 803.84 inch²
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 125x + 147
Answer:
The maximum height of the rocket is about 391.1 feet.
Step-by-step explanation:
The height of the rocket y in feet x seconds after launch is modeled by the equation:
[tex]y=-16x^2+125x+147[/tex]
We want to find the maximum height reached by the rocket.
Since this is a quadratic equation, the maximum height occurs at the vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 125, and c = 147.
Thus, the x-coordinate of our vertex is:
[tex]\displaystyle x=-\frac{125}{2(-16)}=\frac{125}{32}[/tex]
To find the maximum height, we will substitute this value back in. So:
[tex]\displaystyle y_{\text{max}}=-16\left(\frac{125}{35}\right)^2+125\left(\frac{125}{32}\right)+147\approx391.1\text{ feet}[/tex]
The maximum height of the rocket is about 391.1 feet.
Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?
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]
A triangular prism has a base perimeter of 32 cm and a height of 15 cm what is the lateral surface area of the prism
A. 240 cm2
B. 432 cm2
C. 160 cm2
D. 480 cm2
Answer: c
Step-by-step explanation
y is directly proportional to the square root of x
x
If
y
=
60
when
x
=
36
find,
x
when
y
=
80
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
How many coins are in each pouch?
KatyDid Clothes has a $120 million (face value) 25-year bond issue selling for 103 percent of par that carries a coupon rate of 9 percent, paid semiannually.
Answer:
8.704%
Step-by-step explanation:
The computation of the before cost of debt is as follows
Given that
Future value = $100
Present value = $103
NPER = 25 × 2 = 50
PMT = $100 × 9% ÷ 2 = $4.5
The formula is presented below:
= -RATE(NPER;PMT;PV;FV;TYPE)
After applying the above formula, the rate is 4.3518%
Yearly rate is
= 4.3518% ×2
= 8.704%
Eloise is creating a game for her Strategic Games option.
Her square game board will have 64 squares on the inside and a decorative border around the outside edge.
What is the length of the border?
What assumptions can you make?