The mean variable is 2 if a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.
In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.
Percentage of blind people or p = 10% or 0.10 (English)
porcentaje de personas ciegas o p = 10% o 0.10 (Spanish)
No. of random samples of people taken or n = 20 (English)
No. de muestras aleatorias de personas tomadas o n = 20 (Spanish)
Now, Mean is given by n(p). so, (English)
Mean = n(p)
= 20(0.10)
= 2Ahora, la media viene dada por n(p). asi que, (Spanish)
la media = n(p)
= 20(0.10)
= 2
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Full and translated question
Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2
Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.
Answer: 39.13 for 18 plants
Step-by-step explanation:
120/55.20= 2.17 dollars per plant
18*2.17=39.13
The entire graph of the function fis shown in the figure below.
Write the domain and range of fusing interval notation.
(a) domain=
(B) range=
The domain and the range of the function are given as follows:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence, for the graphed function:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
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Which expression is equivalent to 6x - 5 - 2x + 1?
Answer: 4x-4 is the correct answer
Step-by-step explanation that is the correct answer
help pls!!!
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2+80t+4. What is the time interval in which the ball has a height greater than 100 feet?
This is between 2 and 3 seconds, excluding both endpoints.
========================================================
Explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
Replace h(t) with 100. Then get everything to one side.
[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]
Next, we'll use the quadratic formula to isolate t.
Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]
Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]
This is between 2 and 3 seconds, excluding both endpoints.
------------------
Check:
Let's plug in t = 2 to find that...
[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]
You should find that h(3) = 100 as well. I'll let you do those steps.
Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.
ANSWER ASAP DUE AT 1 QUESTION 4!!! 15 POINTS
Plssss help
Answer with one of these answers by looking at the photo PLSS try to get correct
(a) and (b)
Neither
Only (a)
Only (b)
Answer:
a
Step-by-step explanation:
because all top numbers can go into bottom numbers.
These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !
If the function f(x) =(4x² tan x)/sec x , then f'(x) =4( 2x sin(x) + x² cos x) using product rule of differentiation and f'(5) =103.11
What is product rule for differentiation?Product rule for differentiation states that the differentiation the product of two functions is the product of derivative of first function and second function plus product of derivative of second function and first function.
If we have consider the differentiation of product of two functions u ,v that we can write product rule as
(u*v)' = u' v + u v' , where ' represents first derivative with respect to independent variable
Given f(x) = (4x² tan x)/sec x or we can write it as :
f(x) = (4x² )(sin x) as 1/ sec x is cos x , tan x = sin x / cos x
let u =4x² , v = sin x
Then f(x) =u × v
Using product rule of differentiation:
f'(x) = u' v + u v' = (8x sin x) + (4x² cos x) = 4( 2x sin(x) + x² cos x)
To find value of f'(x) at x= 5
f'(5) = 4(10sin5 + 25 cos5) = 103.10569951 = 103.11(rounding off )
Therefore if f(x) = (4x² tan x)/sec x then f'(x) =4( 2x sin(x) + x² cos x) and f'(5) =103.11
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helppppppppp pleaseee
Answer: 1 10/39
Step-by-step explanation:
(4x-20) and (3x+14) they equal 155 what is X?
Answer:
x = 23
Step-by-step explanation:
all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;
For
every dog
pet store
there are 3 cats at the pet store. What's the ratio?
Answer:
1/3?
Step-by-step explanation:
please help this is due at 11
me at 1:36pm: oh no, i hope he got his answer
10 minutes to complete helpppp!!!!
Answer:
that will be the incenter
Step-by-step explanation:
jacob, stephen, and jermaine are hiking up half dome mountain in Yosemite National Park. Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m. Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m. Jermaine is 1/4 of the way between Steven and Jacob. How far has jermaine hiked and what is his elevation?
The distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
How to illustrate the information?From the information, Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m whole on the other hand, Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m.
Therefore, since Jermaine is 1/4 of the way between Steven and Jacob. This will be:
= 1/4(5.6 + 9.8)
= 1/4 × 15.4
= 3.85km
The elevation will be:
= 1/4(1920 + 2495)
= 1/4 × 4415
= 1103.75 m
Therefore, the distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
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An amusement park collected $15,513 in revenue from ticket sales one day. They charge $30 for adults and $9 for children. If there were 865 people in attendance that day, how many were adults?
The number of adults that are there will be 368 adults.
Let adults = a
Let children = c
The equation to solve the question will be:
a + c = 865 ....... i
30a + 9c = 15513 ...... ii
From equation i, c = 865 - a
Since 30a + 9c = 15513
30a + 9(865 - a) = 15513
30a + 7785 - 9a = 15513
30a - 9a = 15513 - 7785
21a = 7728
a = 7728/21
a = 368
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Rudolph can fly 5 miles in 12 seconds. At
that rate, how many miles can he fly per
minute?
Answer:
25 mpm
Step-by-step explanation:
60 devided by 12 = 5
5 times 5 = 25 mpm
Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13
what is equivalent to 3 and 1/4 minus negative 5/8
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse
Help please! I’ll give brainliest!
Answer:
y= -2(-6) +5
y= 12+5
y= 17
y= -2(-3) +5
y= 6 +5
y= 11
y= -2(0) +5
y= 0+5
y=5
y= -2(3) +5
y= -6 +5
y= -1
In right triangle ABC, m angle B ne m angle C Let sin B = r rand cos B = What is sin C- cos C?
A. r+s
B.r-s
C.r/s
D.s-r
Help pls
The vertex of this parabola is at (-4,-1). When the y-value is 0, the xvalue is 2
What is the coefficient of the squared term in the parabola's equation?
y = 8x + 6, x = 5 plz help i can get admin if i solve this
Answer:
y = 46
Step-by-step explanation:
I'm assuming you wanted to solve for y.
x = 5
y = 8(5) + 6
y = 40 +6
y = 46
Which linear inequality is graphed with y> -+-2 to create
the given solution set?
y>x+1
y
y>x-1
y
Answer:
c
Step-by-step explanation:
Suppose there are 19 students in the class a teacher at 122 pencils and passes them out to the class estimate the number of pencils in each student will receive
I need a little more help :( 2/3 = ?/9 3/5 = ?/20 2/10 = ?/20 1/3 = ?/6 4/6 = ?/12
Answer:
2/3 = 6/9
3/5 = 12/20
2/10 = 4/20
1/3 = 2/6
4/6 = 8/12
Mr. Garrison sold 17 pounds of oranges at the flea market. The oranges
sold for $1.78 per pound.
How much did Mr. Garrison receive for the oranges he sold?
( 1pound = $1.75 )
Simplify this expression: -2(-4x + 2y - 6)
Answer:
8x - 4y + 12
Step-by-step explanation:
-2(-4x + 2y - 6)
(-2)(-4x) + (-2)(2y) + (-2)(-6)
(2 * 4x) - (2 * 2y) + (2 * 6)
8x - 4y + 12
xqdfhsisdlifjbosiuhodijxcn
Step-by-step explanation:
ummmm ok then hahaha :)
Gears A and B work together. Gear A turns 30 times when Gear B turns 45 times. When Gear B turns 12 times, how many times does Gear A turn?
HELP ME PLZ I BEG OF YOU!?!
Answer:
8
Step-by-step explanation:
A silo contains 20 pounds of corn per foot in height. Looking at the model below, about what is the maximum amount of corn the actual silo could hold?
A. 60 pounds
B. 300 pounds
C. 900 pounds
D. 2000 pounds
Answer: its actually 900
Step-by-step explanation: