Answer:
The probability that the aircraft is overload = 0.9999
Yes , The pilot has to be take strict action .
Step-by-step explanation:
P.S - The exact question is -
Given - Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. Assume that weight of men are normally distributed with a mean of 182.7 lb and a standard deviation of 39.6.
To find - What is the probability that the aircraft is overloaded ?
Should the pilot take any action to correct for an overloaded aircraft ?
Proof -
Given that,
Mean, μ = 182.7
Standard Deviation, σ = 39.6
Now,
Let X be the Weight of the men
Now,
Probability that the aircraft is loaded be
P(X > 168 ) = P([tex]\frac{x - \mu}{\sigma} > \frac{168 - \mu}{\sigma}[/tex] )
= P( z > [tex]\frac{168 - 182.7}{39.6}[/tex] )
= P( z > -0.371)
= 1 - P ( z ≤ -0.371 )
= 1 - P( z > 0.371)
= 1 - 0.00010363
= 0.9999
⇒P(X > 168) = 0.9999
As the probability of weight overload = 0.9999
So, The pilot has to be take strict action .
Find the slope of the line that passes through the points (10, 9) and (2, 4).
Answer:
slope = 5/8
Step-by-step explanation:
use the slope formula to find the slope: [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]
[tex]\frac{9-4}{10-2} = \frac{5}{8}[/tex]
Item 13
Write an explicit rule for the recursive rule.
$a_1=16,a_n=0.5a_{n-1}$
Answer:
Step-by-step explanation:
[tex]a_{1}=16[/tex]
[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]
Hii can someone help me with this 7th grade level math I just need these three I’ll give brainliest!
Answer:
11- x= -5 12 - p= -12 13- z= -13.2
Step-by-step explanation:
Help and pls explain
Answer:
6
Step-by-step explanation:
Stacia randomly chooses a number from 1 to 10. What is the probability she
chooses a number less than 4?
Answer:
The probability that she chooses a nuumber less than 4 is 30%
Step-by-step explanation:
60 is 5 times as great as K
Answer:
k = 12
Step-by-step explanation:
Answer:
12
Explaination:
12 times 5 is 60
g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not exposed to the carcinogen develops 13 tumors. Based on these data, computed (a) the relative risk, (b) the attributable risk, and (c) the odds ratio. Do these indicators suggest that there is a relationship between exposure and tumor risk
Answer:
a) The relative risk is 1.8[tex]\overline{846153}[/tex]
b) The attributable risk is [tex]0.69 \overline{047619}[/tex]
c) There is a relationship between exposure and tumor risk
Step-by-step explanation:
The number of exposed rats that develop tumors, a = 42
The number of rats exposed to the carcinogen = 600 rats
The number of exposed rats that did not develop tumors, b = 600 - 42 = 558
The number of not exposed rats in the control group = 350 rats
The number of rats that develop tumors in the control group, c = 13 tumors
The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337 rats
a) The relative risk, RR = a/(a + b)/(c/(c + d))
∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8[tex]\overline{846153}[/tex]
b) The attributable risk = (a - c)/a
∴ The attributable risk = (42 - 13)/42 = [tex]0.69 \overline{047619}[/tex]
c) The odds ratio = (a·b)/(c·d)
∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35
Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk
3
For h(x) = - 3(4)*, find h
(
2
Answer:
h(2) = -48
Step-by-step explanation:
Given that,
[tex]h(x)=-3(4)^x[/tex]
We need to find the value of h(2).
Put x = 2 in the given expression i.e.
[tex]h(2)=-3(4)^2\\\\=-3\times 16\\\\=-48[/tex]
So, the value of h(2) is -48.
IM DOING A TEST I NEED HELP LIKE NOW
The diameter of a wheel for a car is 18 inches. What distance does the car travel when the tire makes one complete turn? Use 3.14 for LaTeX: \piπ.
Answer:
The distance would be a little over four feet
Step-by-step explanation:
PLEASE HELP!!
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A.
The x-intercept is 2.
B.
The y-intercept is 3.
C.
The asymptote is y = -1.
D.
As x increases, f(x) approaches, but never reaches, -1.
E.
The range is all real numbers.
F.
f(x) is positive for all x-values less than 1.
G.
The domain is all real numbers.
Answer:
I need the grahp :)
Step-by-step explanation:
I can at least tell you one thing that all exponential functions have in common, is that G. The domain is all real numbers. I hope this helps :)
All the correct statement are,
B) The y-intercept is 3.
C) The asymptote is y = -1.
G) The domain is all real numbers.
Option B, C and G.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the exponential function f(x) are shown in figure.
Hence, We get;
The curve intersect the x axis at x = 1.
So, x-intercept is 1.
Hence, Statement A is false.
The curve intersect the y-axis at y= 3.
So, y intercept is 3.
Thus, Statement B is correct.
The curve tends toward infinity at y = -1.
So y = -1 asymptote of the function.
Thus, Statement C is correct.
The range of function is y > -1.
So range is not all real number.
Thus, statement D is incorrect.
The function is defined for x > -0.5. At x = 0.5 function tends toward infinity.
Thus, statement E is incorrect.
As we move from left to right on x-axis then function decreases.
So, The function shows decay.
Hence, The statement F is incorrect.
The value of function approaches -1 as value of x increase but does not cross -1 or touch the value y = -1.
So statement G is correct.
Thus, All the correct statement are,
B, C and G.
Learn more about the function visit:
https://brainly.com/question/11624077
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A number more than nine is more than twenty.
write as an inequality
Answer:
I think it is 20 < x > 9. But I am not completely sure.
4. According to the graph above, which of
the following best represents the number of
calories from protein a person on a 2,200-
calorie diet should consume?
A. 450
B. 550
C. 625
D. 650
Answer: B:550. You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550
help pls this is due in ten minutes
Answer:
260
Step-by-step explanation:
I used a percentage calculator.
Answer:
900% of 260 is 2,340
Ste2,340p-by-step explanation:
Find the exact value of tan A in simplest radical form.
Answer:
I think the answer is 13 im not positive but i think it's 13
Step-by-step explanation:
i hope this helps you :)
Answer
12/5
for delta ofc
Which of the following expressions is equivalent to the following
expression?
11b + 8 - 9b +3
11b + 8 - 9b + 3 =
= 11b - 9b + 8 + 3 = 2b + 11
i don't get how to do this one
what is the sum of 6 1/2 + 2 1/3
Answer:
8 5/6
common denominator
Answer:
8 5/6
Step-by-step explanation:
Write the 0.5% in two other forms (fraction and percent).
What's the value of (5³)¹. I need a explanation.
Answer:
125
Step-by-step explanation:
We can first multiply the exponent outside the parentheses by the exponent inside the parentheses.
3*1 = 3.
Now we can solve.
5³ = 125
And there is your answer. Hope this helps. Have a nice day.
need help asap!! please help !!!!!!!!!!!!!!!! PLEASEEEEE MATH
Answer:
11. CK = 66
12. QS = 72
13. CE = 11
14. LJ = 60
Step-by-step explanation:
Recall: the corresponding side lengths of similar triangles are proportional and the ratio of their side lengths are equal.
11. AB/KL = AC/KC
77/42 = 121/CK (Substitution)
Cross multiply
77*CK = 121*42
77*CK = 5082
CK = 5082/77
CK = 66
12. QR/BQ = QS/CQ
72/32 = (32 + CS)/32 (Substitution)
Cross multiply
32(32 + CS) = 72*32
1024 + 32*CS = 2304
32*CS = 2304 - 1024
32*CS = 1280
CS = 1280/32
CS = 40
QS = 32 + CS = 32 + 40 = 72
13. QS/CE = QR/CD
33/CE = 36/12
33/CE = 3
Cross multiply
3*CE = 33
Divide both sides by 3
CE = 33/3
CE = 11
14. LJ/LU = LK/LV
LJ/10 = 60/10
LJ/10 = 6
LJ = 6*10
LJ = 60
.
WHERE ALL MY FNAF FANS AT WHO IS YOUR FAVORITE OUT OF THEM ALL PICK ATLEAST 3
Answer:
My first fav is circus baby next is mangle/lolbit and then foxy. But if I had to choose one it would be circus baby
Answer: Ennard, Funtime Freddy, and Nightmare. I would choose Ennard out of any of them-
The x-coordinates of the points (112,−3) and (112,3) are the same and their y-coordinates are opposites. What does this mean in terms of the positions of the points?
Answer:
They are reflected across the x-axis
Step-by-step explanation:
what is 8x2+5 please help
Step-by-step explanation:
I'm a bit confused do you mean 8x^2+5 or 8*2+5??
Nicole bought a pair of shoes for
$37.93. The sales tax was $2.84. How
much money did Nicole spend on the
pair of shoes before taxes?
Answer:
$35.09
Step-by-step explanation:
37.93- 2.84= 35.09
Answer: 35.09$
Step-by-step explanation:
subtract the taxes from the total i think
PLEASE HELP
If a bank pays you 1.5% compound interest each year for the money you deposit, how much will you have in the bank in 20 years if you deposit $500 in the bank today. Round your answer to the hundredths place.
Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explanation:
pls help, due soon algebra
Answer:
(x, y ) --> (x - 1, y - 4)
Step-by-step explanation:
Since you subtract 1 from the x coordinate and subtract 4 from the y coordinate, the rule would be:
(x, y ) --> (x - 1, y - 4)
A game has a ten sided die. What is the probability of rolling a number less than 4 or a multiple of 3?
Answer:
6/10 or 3/5
Step-by-step explanation:
A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.
Answer:
Explanation:
1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.
2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.
An isosceles trapezoid is truncated isosceles triangle.
The definition of trapezoid is a quadrilateral with at least two parallel sides.
The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.
The
area of a plane is given by
A= (10x-2) cm ². The area is not
greater or equal to 12cm². It is however
not less than 2cm. Find the smallest possible
area of this shape
Mark me as brainliest and follow me
use this formula
what is 15% of 90? ..............
Answer:
13.5
hope it helpeddddd
:P
Step-by-step explanation:
Answer: 13.5
Step-by-step explanation: Just divide