The probability that exactly 14 seeds will germinate is 0.109
According to the company, 80% of lima bean seeds germinate.
Callie purchases 20 lima beans.
To determine: the likelihood that exactly 14 seeds will germinate.
We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)
Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.
Thus X ~ B(20,0.8)
The probability of X = x is given by:
P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]
Thus
P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]
P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109
The probability that exactly 14 seeds will germinate is 0.109
To learn more about binomial distribution:
https://brainly.com/question/10741251
#SPJ4
assume that each of 2000 frogss living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. suppose that each hit by a particle is harmless with probability 1 - 10-5 , and produces a tumor with probability 10-5 . find the approximate distribution of
distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation is 0, 1, 2, ..................104000.
let, x denote the total number of hits,
y denotes the number of hits by a particle in a year or an individual,
one per week ⇒ 52 per year
therefore, rate = 52 per year
since it is very rare to hit all individuals, we can use Poisson distribution.
therefore by using the formula p (x = x) = (e^(-rate) × rateˣ) ÷ x! ; x = 0, 1, 2, ............( 2000 × 52)
p (x = 2) = (e⁻⁵² × 52ˣ) ÷ x! ; x = 0, 1, 2, ............104000
now each hit has a harm of probability 10⁻⁵.
so p(total no. of tumors produced over a one year period)
= {e⁻⁵² × 52ˣ} ÷ x! × 10⁻⁵ ; x = 0, 1, 2, ............104000
therefore total no. of tumors = 2000 × (e⁻⁵² × [tex]52^{x.10^{-5} }[/tex] ) ÷ x! × xⁿ ; x = 0, 1, 2, ............104000
Know more about Poisson distribution here: brainly.com/question/17280826
#SPJ4
(complete question)
Assume that each of the 2000 individuals living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. Suppose that each hit by a particle is harmless with a probability of 1 - 10⁻⁵, and produces a tumor with a probability of 10⁻⁵. Find the approximate distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation.
is m=-6 a solution to the inequality m less than or equal to -12
Answer:
No
Step-by-step explanation:
1) Write out the inequality to get a better understanding
m ≤ -12
From this we can see that m can be any number less than -12!
2) Find out possible solutions
As -12 is a negative number, any number less than it would have a larger absolute value.
Some examples of numbers less than -12 would be -15, -13, -36 ect.
HINTS:
It may be easy to confuse which number is greater or smaller than a negative number.
To make sure that we don't make a mistake, we can always put the numbers on a number line!
Any number to the left of it, is smaller, and any number to the right, is larger!
Hope this helps, have a great day!
Triangle VWX is formed by connecting the midpoints of the side of triangle STU. The lengths of the sides of the triangle VWX are shown. What is the length of the side
SU?
Figure not necessarily drawn to scale.
Examining the figure the length of the side SU is calculated to be
6
How to find the missing valueExamining the figure, it can be deduced that
XW = VT = 2 (opposite side of a parallelogram)
XV = WT = 2 (opposite side of a parallelogram)
VT = SV, therefore ST = 2 + 2 = 4
UW = WT, therefore UT = 2 + 2 = 4
The figure form similar triangles and the ratios as written below are equal
SU / VW = ST / XW = UT / XV
SU / VW = ST / XW
SU / 3 = 4 / 2
SU = 3 * 4 / 2
SU = 6
Learn more about triangles:
brainly.com/question/29436172
#SPJ1
lee said that the multiplication fact 5 x 5 can be used to check 10 ÷ 5
is lee correct? Explain how you know if he is right or wrong
Answer: no he is not correct because 5x5 is 25 and 10/5 is 2
Step-by-step explanation:
The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?
Answer:
[tex] \huge{ \boxed{ \bold{g = - 2}}}[/tex]
Step-by-step explanation:
In order to find g we have to use the formula for finding the slope of the line passing through two points that's
[tex]m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are (g, -1) and (2, 5) and m = 3/2
We substitute it into the equation and find g
That's
[tex] \frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2[/tex]
We have the final answer as
g = - 2Hope this helps you
The sum of four consecutive odd integers is 5 less than 3 times the second number. What are the numbers?
Answer:
Four consecutive odd integers are: 2n+1, 2n+3, 2n+5 and 2n+7
Three times the sum of the first and fourth then are 3(2n+1 + 2n+7)
80 less than 4 times the sum of the second and third then are 4(2n+3 + 2n+5) - 80
Since the two are equal:
3(2n+1 + 2n+7) = 4(2n+3 + 2n+5)-80
expanding the brackets:
6n+3 + 6n + 21 = 8n + 12 + 8n + 20 - 80
combining like terms
3 + 21 - 12 -20 + 80 = 8n + 8n - 6n - 6n
72 = 4n
Step-by-step explanation:
The equation for the cost of producing truck tires is C = 0. 002x² -3. 2x+1325, where x is the
number of tires produced. Find the number of tires that minimizes the cost. What is the cost for
that number of tires?
The number of tires that minimizes the cost is 800., And the cost for that number of tires is, $45.
What is parabola?
When the value of an is less than 0, a 0, the parabola's graph is downward (or opens down). When the value of an is more than zero, a > 0, the parabola's graph is upward (or expands). As a result, the direction of the parabola depends on the sign of the coefficient "a."
Consider, the equation
C = 0.002x^2 - 3.2x + 1325
Here, a = 0.002 > 0
Since, if a > 0 then parabola is open upward and having minimum value at it's vertex.
First, to find the vertex of the quadratic equation.
Since,
V = (-b/2a, f(-b/2a))
Let, a = 0.002, b = -3.2, c = 1325
So,
-b/2a = 3.2/2(0.002) = 800
Therefore, the number of tires that minimizes the cost is 800.
Now to find the cost for that number of tires.
Plug x = 800 into the above quadratic equation
C = 0.002(800)^2 - 3.2(800) + 1325
C = 45
Hence, the cost for that number of tires is $45.
To know more about the parabola, click on the link
https://brainly.com/question/27872359
#SPJ4
Jackson's city took a telephone poll about a plan to build a new hotel downtown. 1,000 people took the poll. 440 of them were in favor of the new hotel. What percentage of the people polled were in favor of the hotel?
The percentage of the people polled who were in favor of the hotel is 44%.
What is the percentage?From the information, Jackson's city took a telephone poll about a plan to build a new hotel downtown and 1,000 people took the poll whike.440 of them were in favor of the new hotel.
The percentage for those that were in favor will be:
= People in favor / Total survey × 100
= 440/1000 × 100
= 44%
The percent is 44%.
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
A spherical tennis ball has a volume
of 200 cm³. Calculate the radius
of the ball. Give your answer
correct to 3 significant figures
Answer:
Step-by-step explanation:
V = (4/3) πR³
R = ³√(3V/(4π))
R = ³√(3*200/(4π)) = ³√(150/π) см
If cos x = -2/5, what is the value of cos 2x?
The value of cos 2x = -21/25.
Given:
cos x = -2/5
we know that,
cos 2x = [tex]2cos^{2}x -1[/tex]
= 1([tex](-2/5)^{2}[/tex] - 1
= 1[tex](2/5)^{2}[/tex] - 1
= 1*4/25 - 1
= 4/25 - 1
= 4 - 25 / 25
= -21/25.
Therefore the value of cos 2x = -21/25.
Learn more about the value of cos here:
https://brainly.com/question/4136072
#SPJ1
What is the next three terms in the sequence: -21, -17, -13, -9, -5,
Answer:
-1, 3, 7
Step-by-step explanation:
this is adding 4 every time
hopes this helps please mark brainliest
Answer: -1, 3, 7
Explanation: The pattern in this sequence, is that you add 4 for every new number in the sequence. So -5+4 is -1. Then the next one would be -1+4 is 3. And then finally, the next one would be 3+4, which is 7.
Complete this statement: 500 students is to 25 classes as 120 students is to ___ classes
Answer:
6 Classes
Step-by-step explanation:
500 Students =25 Class
1 class= 500/25
=20
120 students = 120/20
=6
Hope it helps you
Answer:
6
Step-by-step explanation: i think its right
there are 7 students on a team. if they must elect a president, a vice president, and a treasurer, how many different arrangements of candidates are possible
Different arrangements of candidates are possible is 210.
Given:
There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.
Number of arrangements = [tex]7_p_{3}[/tex]
= 7!/(7-3)!
= 7!/4!
= 7*6*5*4! / 4!
= 7*6*5*1
= 42*5*1
= 42*5
= 210
Therefore Different arrangements of candidates are possible is 210.
Learn more about the arrangements here:
https://brainly.com/question/28406752
#SPJ4
Lorenzo uses 2 1/2 cups of vinegar in his salad dressing recipe. How much vinegar would Lorenzo use to make 4 2/5 recipes?
11 cups of vinegar would Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes.
Given that, Lorenzo uses [tex]2\frac{1}{2}[/tex] cups of vinegar in his salad dressing recipe.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes
Here, [tex]2\frac{1}{2}=\frac{5}{2}[/tex] and [tex]4\frac{2}{5}=\frac{22}{5}[/tex]
Now, 5/2 × 22/5
= 11
Hence, 11 cups of vinegar would Lorenzo use to make [tex]4\frac{2}{5}[/tex] recipes.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ1
which is greater? 0.056 or 0.546?
Answer:
0.546 is greater than 0.056
Vineeth alary wa r 25000 per month due to the pandemic her alary wa reduced by 40 percentage what i her new alary
By using the concept of Percentage, it is obtained that
New Salary of Vineeth = Rs. 15000
What is Percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 2% means 2 is expressed as a fraction of 100.
Here, the concept of percentage has been used.
Original salary of Vineeth = Rs. 25000
Percentage decrease in salary = 40%
Decrease in salary = [tex]\frac{40}{100}\times 25000\\[/tex]
= Rs. 10000
New Salary of Vineeth = Rs.(25000 - 10000)
= Rs. 15000
To learn more about percentage, refer to the link-
https://brainly.com/question/24304697
#SPJ4
The 9th grade class was surveyed about their plans after high school graduation. The table describes the results.
Plans to live at home Plans to live on their own Row Totals
Plans to attend college 55%. 10% 65%
Plans not to attend college 20% 15% 35%
Column Totals 75% 25% 100%
Part A: Find the conditional relative frequency of a student who does not plan to attend college, given that they plan to live at home. (3 points)
Part B: Is there an association between not attending college and living on their own? (3 points)
a) The conditional relative frequency of a student who does not plan to attend college, given that they plan to live at home is of: 0.5714 = 57.14%.
b) There is a negative association between not attending college and living on their own.
How to obtain a relative frequency?The relative frequency of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
For the conditional relative frequency of a student who does not plan to attend college, given that they plan to live at home, in item a, the outcomes are given as follows:
Desired outcomes: 20% that plans to live at home and not attend college.Total outcomes: 35% that plan to live at home.Hence the relative frequency is of:
p = 0.2/0.35 = 0.5714 = 57.14%.
Among people who plan to live on their own, the relative frequency of people who plan to attend college is of:
0.55/0.65 = 0.846 = 84.6%.
Hence there is a negative association between not attending college and living on their own, as people who live on their own are significantly more likely to attend college then people who do not live on their own.
More can be learned about relative frequencies at https://brainly.com/question/1809498
#SPJ1
Electronics Company assembles 240 iPads every day. How many iPads are assembled in one year?
Answer:
87,600 iPad are assembled in a year.
Step-by-step explanation:
You take the number of iPads assembled every day (240) and multiply it by the number of days in a year (365). 240 multiplied by 365 is 87,600.
Juan paga por un saco S/ 224, después de que le han
hecho dos descuentos sucesivos del 30% y 20%, sobre
el precio de lista. ¿Cuál fue dicho precio?
El saco tiene un precio original de 400 soles.
¿Cómo determinar el precio inicial de un saco comprado con descuento?
En este problema tenemos el caso de un precio de compra (P'), en soles, que es resultado de aplicar dos descuentos consecutivos al precio original del saco (P), en soles. El precio es el resultado de multiplicar el precio original por los dos factores de porcentaje, descrito por la siguiente fórmula:
P' = P · (1 - r₁ / 100) · (1 - r₂ / 100), 0 ≤ r₁, r₂ ≤ 100.
Donde:
r₁ - Porcentaje del primer descuento.r₂ - Porcentaje del segundo descuento.Si sabemos que P' = 224, r₁ = 30 y r₂ = 20, entonces el precio original del saco es:
224 = (1 - 30 / 100) · (1 - 20 / 100) · P
224 = 0.7 · 0.8 · P
P = 224 /(0.7 · 0.8)
P = 400
El precio original del saco es de 400 soles.
Para aprender más sobre descuentos: https://brainly.com/question/24130820
#SPJ1
If n is a positive integer, the symbol n! (read ’n factorial’) represents the product of the integers from 1 to n. For example, 4! = (1)(2)(3)(4) = 24. If x and y are integers 30!/36x+25y is equal to an integer, what is the maximum possible value of x + y?
(A)10 (B)47 (C)17 (D)26 (E) 13
Answer:c
Step-by-step explanation:
Find an expression for d so the line that passes through (a, b) and (c, d) has a slope of 1/2
Answer:
Step-by-step explanation:
In the book, they gave you the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.
If you have two points on the line, then the slope of the line is
(the change in 'y') divided by (the change in 'x') .
If the two points are (a, b) and (c, d), then the slope of the line is
(d - b) divided by (c - a),
and you have to find the value of 'd' that makes that whole expression
equal to 1/2.
(d - b) / (c - a) = 1/2
Multiply each side by (c - a): (d - b) = 1/2(c - a)
Add 'b' to each side: d = 1/2(c - a) + b
If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.
NEED HELP PLS
Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 4
g of x equals the square root of the quantity 3 x cubed
Answer:
Step-by-step explanation:
f(g(x)) = 6x^3 + 4 dollars/hour
905789 x 9417???
THANK YOU FOR ALL YOUR HELP BRAINLIEST TO WHOEVER CORRECTLY ANSWERS FIRST TYSM TYSM TYSM
Answer:
905789 x 9417 = 8529815013
Step-by-step explanation:
I hope this helps, friend :)
Sylvie is going on vacation. She has already driven 60 miles in one hour. If she then travels for 7 hours at an average speed of 57 miles per hour, what is the total distance that sylvie will have driven?.
The total distance that Sylvie will have driven is, 459 miles.
What is distance?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.
Let, Sylvie is going on vacation. She has already driven 60 miles in one hour. She then travels for 7 hours at an average speed of 57 miles per hour.
In 7 hours Sylvie travel 7 x 57 = 399 miles.
So, the total distance is,
399 + 60 = 459 miles
Hence, the total distance that Sylvie will have driven is, 459 miles.
To know more about the distance, click on the link
https://brainly.com/question/26046491
#SPJ4
what is 4 1/10 plus -2 3/10
I have n nickels, d dimes and q quarters. In total i have 18 coins. I have twice as many nickels as dimes. Express n times d times q in terms of the number of nickels.
The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
In the question ,
it is given that ,
there are n nickels , d dimes , q quarters .
Also given that there is twice as many nickels as dimes ,
that means , n = 2d
So , d = n/2
also that total number of coins = 18 ,
So , n + d + q = 18
n + n/2 + q = 18
q = 18 - 3n/2
we need to find , n times d times q in terms of the number of nickels.
that means
= n × d × q
= n × n/2 × 18 - 3n/2
= n × n/2 × (36 - 3n)/2
= (n × n×(36 - 3n))/2×2
= n²(36-3n)/4
Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .
Learn more about Expression here
https://brainly.com/question/22826024
#SPJ4
Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball rolled at a greater rate of speed?
Question 3 options:
A: white ball
B: green ball
C: The white and green ball rolled at the same rate of speed.
D: red ball
If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.
How to find the speed?Using this formula to find the fastest speed
White ball :
Speed for white ball = 143 centimeters /4 seconds
Speed for white ball = 34.75
Green ball:
Speed for green ball = 112 centimeters /3 seconds
Speed for green ball= 37.33
37.33 ≥ 34.75 which means that green ball is the fastest.
Therefore the correct option is B.
Learn more about speed here:brainly.com/question/14935741
#SPJ1
Rosa's friend jake claims that he can read minds. To test jake's abilities, rosa chooses 333 different numbers from 111 to 101010. Rosa then asks jake to identify which 333 of the 101010 numbers she chose in the correct order. Assume that jake has no special abilities and is randomly guessing the numbers. What is the probability that jake correctly identifies all 333 numbers in the correct order?.
By using the concept of Probability, the result obtained is -
Probability of guessing the correct order = [tex]\frac{1}{720}[/tex]
What is Probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
There are 10 numbers from 1 to 10
Number of favourable outcomes = 10 [tex]\times[/tex] 9 [tex]\times[/tex] 8
= 720
There is only one correct order
So probability of guessing the correct order = [tex]\frac{1}{720}[/tex]
To learn more about Probability, refer to the link:
https://brainly.com/question/25870256
#SPJ4
Correct Question
To test Jake's abilities, Rosa chooses 3 different numbers
from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.
Assume that Jake has no special abilities and is randomly guessing the numbers. What is the probability that Jake correctly identifies all 3 numbers in the correct order?.
18) The profit that the vendor makes per day by selling x pretzels is given by the function
P(x) = -0.004x2 + 2.8x - 100. Find the number of pretzels that must be sold to maximize profit.
A) 390 pretzels
B) 350 pretzels
C) 700 pretzels
D) 1.4 pretzels
Answer:
B) 350 pretzels=====================
GivenFunction P(x) = - 0.004x² + 2.8x - 100To findThe value of x, which makes the P(x) maximumSolutionThis is a quadratic function and it can get maximum at vertex.
The x-coordinate of the vertex is determined by x = - b/(2a).
We have:
a = - 0.004 and b = 2.8Find the value of x:
x = - 2.8 / (2* (-0.004)) = 350Correct choice is B.
Value of (64/25)^-1/2
final answer:
Hence, the simplest form of (64/25) -1/2 is 5/8