The probability that exactly 2 out of the 20 older adults prefer organic is approximately 0.2707.
To calculate the probability that exactly 2 of the 20 older adults prefer organic, we need to use the binomial probability formula. The formula for the probability of exactly k successes in n trials, where the probability of success is p, is given by:
P(X = k) = [tex](n choose k) * p^k * (1-p)^{(n-k)[/tex]
In this case, we want to find the probability that exactly 2 of the 20 older adults prefer organic. The probability of an older adult preferring organic is given as 22%, or 0.22.
Using the formula, we substitute the values into the equation:
P(X = 2) = (20 choose 2) * 0.22² * (1-0.22)²⁰⁻²
Calculating this expression, we find:
P(X = 2) ≈ 0.2707
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Complete question is:
A restaurant chain wants to create dishes that will attract new clientele. They are interested in adding some organic options to their menu. A survey revealed that 22% of people over 50 and 32% of people under 50 prefer organic foods. The restaurant wants to poll their clientele. 60 clients were randomly selected: 20 older adults and 40 younger adults. Let X be the number of older adults (out of 20) who prefer organic. Let Y be the number of younger adults (out of 40) who prefer organic. Let Z be the total number in the sample who prefer organic (out of 60).
What is the probability that exactly 2 of the 20 older adults prefer organic?
What is the area, in square units, of triangle STU?
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Answer:
14.5 square units
Step-by-step explanation:
There are several methods for finding the area of an acute scalene triangle with mostly irrational side lengths. Here's one.
Define X(4, 2) and Y(9, 2). The trapezoid XUTY has bases XU=9-2=7 and TY=6-2=4. Its height is XY=9-4=5, and its area is found from the formula ...
A = 1/2(b1 +b2)h
A = 1/2(7+4)(5) = 55/2 = 27.5
The area of our triangle is this trapezoid's area less the areas of triangles XUS and YTS. Those areas can be found from the formula ...
A = 1/2bh
∆XUS area = 1/2(2)(7) = 7
∆YTS area = 1/2(3)(4) = 6
So, the area of ∆STU is ...
area STU = area XUTY -area XUS -area YTS = 27.5 -7 -6
area STU = 14.5 . . . square units
Answer:
the Guy above me is right ig....... To solve the problem just find the length of the 2 shorter sided than add an exponent of 2 to all the numbers, then add, then square it
Step-by-step explanation:
Do they take your phones and watch you take the cumulative test on edginuity?
Answer:
I don't know what your school is doing but what happened to me was that I just waited for the test to be unlocked and I was working from home so I was able to keep my phone and I didn't need to be in a meeting
Mathematical Literacy Assignment no 2021
Find the measurement of the numbered angles
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)
Answer:
Step-by-step explanation:
9^2
=9*9
=81
15^2
=15*15
=225
(0.2)^2
=0.2 * 0.2
=0.04
(0.7)
=0.7
Please awnser
Please help
Answer:
I believe the answer would be 11/30 longer but you might want to simplify it
the product of -3 and m increased by 7 is -20. what is the value of m?
Answer:
The value of m is 9.
Step-by-step explanation:
We need to set up an algebraic equation, then solve.
(-3 * m) + 7 = -20
-3m + 7 = -20
Subtract 7 from both sides so we can get -3m by itself. We are isolating it.
-3m + 7 - 7 = -20 - 7
-3m = -27
Divide by -3 on both sides.
m = 9
The value of m is 9.
Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour
Answer:
Step-by-step explanation:
yes
Graph the image of rectangle BCDE after a translation 8 units left and 5 units up.
If 8 x - 4 = 6 - 3 x then x =
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE
Answer:
V=πr2h /3
so we just substate and we get
V≈130.9
Answer: 130.83 units cubed
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]
We will use 3.14 for pi.
[tex]3.14r^2\frac{h}{3}[/tex]
Now let's sub in our variables and solve
[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]
5/6 is about .83
130.83
Please help. I don't know much about graphs.
From reading the answers shown, it is NOT either of the answers in the middle. I believe that the first answer is the correct one. (It's not expected for a student to get around a 77 if they only spend 3.75 hours studying. anyone can get any percentage for any amount they spend studying)
HELP ASAP!! WILL MARK BRAINLIST
Q: Describe the graph of a function g by observing the graph of the base function f.
(question and answers pictured)
Answer:
I believe the answer is B
Step-by-step explanation:
the +5 indicates g(x) is being moved upwards and the +3 indicates g(x) is being moved 3 to the left
what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))
Step-by-step explanation:
Maple calculator used.........................
Answer:
Step-by-step explanation:
[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]
[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]
[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]
[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]
[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]
[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]
Find the Value of X (in this picture)
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Answer:
x = 64
Step-by-step explanation:
The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.
The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.
x° = 180° -2(58°)
x° = 64°
Use any method to multiply (3a + 2b - c)(a - b + 2c).
Answer:
3a2_2b2-2c2+ab+5ac-5bc
(3a+2b-c)(a-b+2c)
(6a2-4b2-c2)(-ab+4c2)
-6ab3+24ac4+4ab2-16bc2+abc2-4c3
Which angle is an obtuse angle?
A. 310°
B. 80°
O c. 260°
O D. 170°
Step-by-step explanation:
obtuse angle is an angle whose measure is more than 90 degree but less than 180 degree..
So,
170°
Russell deposited $200 to open a new bank account before he paid $250 for his portion of the rent. His bank charged him a $50 overdraft fee. Then he deposited his paycheck of $400. How much money is in Russell’s account now?
The answers isssssssss
$300
:)
A puppy named Dusty started out at 2 pounds and gained 1 pound every month. At
how many months did Dusty weigh 6 pounds?
Answer:
4 months
Step-by-step explanation:
Let x be the number of months
Dusty started at 2 lbs, and gains 1 lb every month
So we can make the equation
2+x=6
x=4
At 4 months, Dusty was 6 lbs
3.(8 points)Consider the following experiment:Experiment: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3yellow balls. Two balls are drawn from the bag without replacing the ballafter the first draw.(a)(2 points)Specify the sample space (set of outcomes) and probability distributionof the outcomes.(b)(3 points)If you draw two balls from the bag without replacing them, what isthe probability of drawing two red balls
Answer:
3 / 91
Step-by-step explanation:
Given :
Red balls = 3
Blue balls = 4
Green balls = 4
Yellow balls = 3
Total number of balls = (3+4+4+3) = 14
Sample space :
RR, BB, GG, YY, RB, BR, BG, GB, YG, GY, YR, RY, BY, YB, GR, RG
Probability of drawing two red balls without replacement :
1st draw :
P(red) = number of red balls / total number of balls
P(red) = 3/14
2nd draw :
P(red) = 2 / 13
Hence,
P(RR) = 3/14 * 2/13 = 6 / 182 = 3 / 91
Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad
Answer:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Explicación:
Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.
En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 90% de actividad ---------------- los CV serán x
x = [(90)(180,000,000.00)]/(80) = 202,500,000.00
Los costos variables de fabricación al nivel de actividad de 90% son $202,500,000.00
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 100% de actividad ---------------- los CV serán x
x = [(100)(180,000,000.00)]/(80) = 225,000,000.00
Los costos variables de fabricación al nivel de actividad de 100% son $225,000,000.00
Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:
CT = CV + CF ⇒ CV = CT - CF ⇒
CV = 371,500,000.00 - 202,500,000.00 = 169,000,000.00
Los costos fijos de fabricación son de $169,000,000.00
Conclusión:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
calculate 5/10÷9 please
Answer:
1/2 times 1/9
which equals 1/18
Step-by-step explanation:
5/10 equals 1/2 and /9 equals *1/9
Answer: i think its 1/9
Find the simple interest on a loan of ₱65,000.00 if the loan is given at a rate of 2% and is
due in 5 years and 3 months?
Answer:
6,825
Step-by-step explanation:
The principlal is #65,000
Rate, = 2%
= 2/100
= 0.02
Time= 5+0.25
= 5.25
Simple interest= 65,000×0.02×5.25
= 6,825
Which of the following are true statements using the Associative Property of Multiplication?
(a – b) – c = a – (b – c)
a(b + c) = ab + ac
a(bc) = (ab)c
(a + b) + c = c + (a + b)
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Answer:
a(bc) = (ab)c
Step-by-step explanation:
The associative property of multiplication says the product is the same regardless of how the factors are grouped. That is demonstrated by the equality ...
a(bc) = (ab)c
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I say number 2 idrk so I hope I helped >-<
Find the value of the polynomial 3x
3 – 4x
2+ 7x + 5, when x = 3 and also when
x = –3.
Answer:
71
-133
Step-by-step explanation:
Given the polynomial :
3x³– 4x² + 7x + 5, when x = 3 and also when
x = –3.
Put x = 3
3(3)³– 4(3)² + 7(3) + 5
3(27) - 4(9) + 21 + 5
81 - 36 + 21 + 5
= 71
Put x = - 3
3(-3)³– 4(-3)² + 7(-3) + 5
3(-27) - 4(9) - 21 + 5
-81 - 36 - 21 + 5
= - 133
x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set
Answer:
The graph is in the second attached image.
Step-by-step explanation:
In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:
x^3 + 3x^2 - 9x - 27I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:
First derivative = 3x^2 + 6x - 9 (It's a parabola)And at last, we have in green color the second derivative:
Second derivative = 6x + 6 (It's a line)As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.
3x(x-y)-p(y-x) factorise by taking out the common factor
Answer:
Rewrite as
3x(x-y) -p[-(x-y)]
We factored out a minus from the second bracket. I chose the second bracket arbitrarily... You can chose the 1st bracket if you want.
Now when those two minus interact... They became Positive(From rules of sign Multiplication)
3x(x-y) + p(x-y)
Now factor out (x-y) from both
(x-y) [ 3x + p]
So that's our answer!!
(x-y)[ 3x + p ].
Which statements are correct? Check all that apply.
Answer:
E is the subset of I
S is the subset of T
R ⊂ P
Step-by-step explanation:
Solve this equation 2n-9<25
Answer:
n < 17
Step-by-step explanation:
2n-9<25
Add 9 to each side
2n-9+9<25+9
2n < 34
Divide each side by 2
2n/2 < 34/2
n < 17
Answer:
n < 17
Step-by-step explanation:
Move the constant to the right -hand side and change its sign
2n<25+9
Then add the numbers
2n < 34
Divide both sides of the inequality by 2
so that would be n<17
