If a seed is planted, it has a 95% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 2 don't grow?
Answer:
The probability that exactly 2 don't grow is 0.075 or 7.5%
Step-by-step explanation:
Binomial Distribution
Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.
It's clear that p+q=1, or q=1-p.
Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:
[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]
Where
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.
The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.
Apply the formula:
[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]
[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]
[tex]\displaystyle P_{8} = 0.075[/tex]
The probability that exactly 2 don't grow is 0.075 or 7.5%
Multiply using cancellation:
2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!
Answer:
This is how you simplify them
Step-by-step explanation:
1) 1/90
2) 1/2
3) 7/20
Amanda wrote a list that contained only multiples of 16. Which of the following lists could be Amanda’s list?
Question 2 options:
{1, 2, 4, 8, 16}
{16, 32, 48, 64, 80}
{16, 32, 42, 64, 84}
{4, 8, 12, 16, 20, 24, 28}
Answer:
2nd answer. (16,32,48,64,80)
Step-by-step explanation:
Your grandma pays upfront for you to go on an overnight trip with the school, which costs $340. You make a deal that you’ll give her $25 per month until you pay it all back. How will you pay Grandma?
Answer:
350
Step-by-step explanation:
pretty easy just dived
You pay $350 to Grandma.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Grandma pays upfront for you to go on an overnight trip with the school, which costs $340.
And, You make a deal that you’ll give her $25 per month until you pay it all back.
Now,
Let the number of months to pay Granma = x
Then, we can formulate;
$25x = $340
x = 13.6
After rounding,
x = 14
So, We pay 14 months to grandma;
Hence, The cost to pay grandma in 14 months = 14 x $25
= $350
Therefore, You pay $350 to Grandma.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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What is 4/7 plus 5/28 in simplest form I am not sure
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
To add fractions, they must have common denominators
convert them to common denominators
4/7 × 4/4 = 16/28
now their denominators are the same
16/28 + 5/28
add the numerators
16 + 5 = 21
21/28
Both the numerator and the denominator can be divided by 7
3/4 is the simplest form
What is the base 10 representation of 11102?
Answer:
1.1102 * 10^4
Step-by-step explanation:
11102
= 1.1102 * 10^4
Answer:
14
Step-by-step explanation:
The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.
Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .
Answer:
[tex]x\geq-1.\overline{756}[/tex]
Step-by-step explanation:
[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]
Rick has a magnet shaped like a right rectangular prism which is 8 cm long, 4 cm wide, and 2 cm high. What is the volume in cubic cm?
Answer:
the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.
solve 86.5=2l+2(2l-40.75)
Answer:
[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]
l=28
Please answer this as fast as you can.
Susan runs 2 1/2 miles in 0.25 of an hour.what is the unit rate in miles per hour?
Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms. Create 5 ordered pairs (charms, beads) that could be used to graph this relationship
Answer:
Step-by-step explanation:
Ordered Pair1: (8,2)
2:(8*2,2*2)=(16,4)
3:(8*3,2*3)=(24,6)
4: (8*4,2*4)=(32,8)
5: (8*5,2*5)=(40,10)
can someone make this for me with a compass but just different colors please
Answer:
so basically you want a drawing identical to that just with different colours?
plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi
Answer:
Figure of the function is included below as attachment.
Step-by-step explanation:
Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.
x-Intercepts
x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:
[tex]\cos x = 0[/tex]
In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Maxima
Maxima are those points of the function such that [tex]y = 1[/tex]. That is:
[tex]\cos x = 1[/tex]
In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Minima
Minima are those points of the function such that [tex]y = -1[/tex]. That is:
[tex]\cos x = -1[/tex]
In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.
36. Please help me it’s my last question
Answer:
7in. in length and 6in. in width.
Step-by-step explanation:
Divide the number of feet by 3.
Write a slop-intercept equation for a line that passes through (4,0) and (-5,6)
Answer: -2/3
Step-by-step explanation:
y2 - y1/ x2 - x1
6-0/-5-5
-6/9
-2/3
Answer:
y=-2/3x+10 1/3
Step-by-step explanation:
y=mx+b (m = slope)
(Equation) y2-y1/x2-x1
= 6-0/-5-4
= -6/9
= -2/3
y-y1 = m(x-x1)
y-6 = -2/3 +5
y-6 = 4 1/3
y = 10 1/3
Please Help! FAST! Multiple Choice! Brainlest!
Answer:
B is the answer
Step-by-step explanation:
the rulers at store a cost much
Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determine whether each statement below is true for all points P true for some points P or not true for any points P
Answer: true false some true
Step-by-step explanation:
5. The list of ordered pairs below represents a function: (12, 6), (3, 1), (2,-2), (5, 10), (-8,-4) Which of the following could be the missing ordered poin? 8. A. (21) B. (12,7 C.-8. B D.-3.-4 will mark brainiest answer us not b
Answer:
21
Step-by-step explanation:
just took the test
Answer
I believe D or C
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
Please help me answer this <3
Answer:
x = 30
Step-by-step explanation:
15 = 1/2x
multiply both sides of equation by 2
30 = x
The johnsons just moved into their new home and are selecting furniture for the family room
The graph shows the cost for a crate of the flowers Molly is planting in her garden.
What is the cost of 4 crates of flowers?
Answer:
Little late but its 10
Step-by-step explanation:
Answer:
3 weeks Late my bad, but why let the question go to waste, the answer is 10
What is the solution to the inequality?
Answer:
B.
Step-by-step explanation:
-6<x<6
a product p and six is wrtten as
Answer:
6p
Step-by-step explanation:
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Please help it's due today!!!!!!
Answer:
See Below
Step-by-step explanation:
We are given 3 equations.
3x + 8
5x - 20
and
5x + 4y
First lets solve for x using the first two
3x + 8 = 5x -20
Move the variables to one side
3x + 8 = 5x -20
-3x -3x
8 = 2x -20
+20 +20
28 =2x
28/2 =2x /2
14 = x
Now we have x = 14
Lets plug this into the second equation to solve for the angle
3(14) + 8
42 + 8 = 50
5(14) - 20
70 - 20 =50
Now, lets plug the x and the angle into the third equation to find y
5 (14) +4y = 50
70 + 4y = 50
-70 -70
4y = -20
4y/4 = -20/4
y = -5
So now we have:
x = 14
y = -5
and the angle = 50
Hope this helps!
A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle
Answer:
10 cm
Step-by-step explanation:
the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as
r^2 = 6^2 + 8^2
I NEED HELP ASP!!!!! 3
Answer: what answer???
Step-by-step explanation: there's no equation
Andrew has 30 rocks. He has 10 more rocks then Amanda. He has 15 fewer rocks then Rob. How many rocks does each person have?
Answer:
Amanda has 20, Rob has 45
Step-by-step explanation:
Amanda has ten fewer rocks than Andrew, 30-10=20
Rob has 15 more rocks than Andrew, 30+15=45
The measures of two vertical angles are 29° and (2x + 3)º. Find the value of x .
Answer:
Vertical Angles!
Step-by-step explanation:
Very simple!
Vertical angles are a pair of angles that are equal in degree measure.
Essentially, they are equal to each other. Nothing more to it.
This means that [tex]29=2x+3[/tex]!
I presume you have done math before, so this solves to be: [tex]x=13[/tex]
(I don't have a degree sign, but it should be there in your answer.)
Hope this helps!
P.S. How's life?
A test has been developed to detect a particular type of arthritis in individuals over 50 years old. From a national survey it is known that approximately 10% of the individuals in this age group suffer from this form of arthritis. The proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease. What is the probability that an individual has this disease given that the test indicates its presence
Answer:
The probability that an individual has this disease given that the test indicates its presence is 0.1
Step-by-step explanation:
Let A be the event which indicates Having disease
Let B be the event in which test indicates that disease presence
Now we are given that 10% of the individuals in this age group suffer from this form of arthritis
So, P(A)=0.1
We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.
P(B|A)=0.85
Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease
So,P(B|A')=0.04
We are supposed to find the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)
So we will use Bayes theorem
[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]
[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]
Hence the probability that an individual has this disease given that the test indicates its presence is 0.1