Using the binomial distribution, it is found that there is a 0.875 = 87.5% probability that at least one of your next three seeds sprout.
For each seed, there are only two possible outcomes, either it sprouts, or it does not. The probability of a seed sprouting is independent of any other seed, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
50% of seeds sprout, hence p = 0.5.There are 3 seeds, hence n = 3.The probability that at least one of your next three seeds sprouts is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.125 = 0.875[/tex]
0.875 = 87.5% probability that at least one of your next three seeds sprout.
More can be learned about the binomial distribution at https://brainly.com/question/14424710
Rational function / Divide
Please draw steps and show answer
Answer:
Step-by-step explanation:
note :
x²-1 = (x-1)(x+1)
x²-4x-5 = (x-5)(x+1)
continu .......
Answer:
[tex]\frac{(2x+3)(x-1)}{2(x-5)}[/tex]
Step-by-step explanation:
⇒ [tex]\frac{4x^{2}- 9 }{x^{2}-4x-5 }[/tex] ÷ [tex]\frac{4x - 6}{x^{2} - 1}[/tex]
⇒ [tex]\frac{4x^{2}- 9 }{x^{2}-4x-5 }[/tex] × [tex]\frac{x^{2}-1 }{4x-6}[/tex]
⇒ [tex]\frac{(2x+3)(2x-3)}{(x-5)(x+1)}[/tex] × [tex]\frac{(x+1)(x-1)}{2(2x-3)}[/tex]
⇒ [tex]\frac{(2x+3)(x-1)}{2(x-5)}[/tex] [∴ → Final Answer]
Question below..........................
The stem-and-leaf plot shows the number of cans of food collected by various students for a food drive. What was the greatest number of cans collected?
Look in the last row, and at the last item in that row.
The last row shows a stem of 5. The last item in that bottom row is 6, so the leaf here is 6.
A stem of 5 and a leaf of 6 combine to get the value 56 according to what the key shows. Therefore 56 is the largest value.
The greatest number of cans collected is 56.
What is Stem and Leaf Plot?Stem and leaf plot is a method of portraiting data where each data point is divided in to a stem part and a leaf part.
Stem part consists of the first digits and the leaf part consists of the last digits.
Given a stem and leaf plot.
Using the digits, the data points in each row are,
33, 33, 36, 36, 38, 39
42, 42, 44, 45, 45, 45, 46
51, 53, 54, 54, 56
Find the greatest data point from the set, which is the greatest number of cans collected.
Greatest data point is 56.
Hence 56 is the greatest number of cans collected by the students.
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Select the correct answer.
What is the frequency for the interval 86–88 in this histogram?
80, 82, 83, 83, 84, 85, 85, 85, 86, 87, 87, 88, 88, 88, 87, 86, 87, 88
A.
2
B.
6
C.
10
D.
12
Answer:
84-85
Step-by-step explanation:
you out them in order from greatest to least
82 83 __ __ 86 87 88
^ ^
84 85
i hope this work for you
Frequency for the interval 86 - 88 in the given histogram is equals to 10.
What is frequency?" Frequency is defined as the representation of occurrence of any particular event repeatedly in fixed time interval."
According to the question,
Given histogram shows,
Students with weight between 80 - 82 = frequency 2
Students with weight between 83 - 85 = frequency 6
Students with weight between 86 - 88 = frequency 10
10 students are there having weight between 86 - 88 pounds.
Hence, Option(C) is the correct answer.
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Silvia has a collection of stamps from around the world as listed below.
4 stamps from Mexico
3 stamps from Peru
6 stamps from Germany
2 stamps from Tonga
5 stamps from New Zealand
She places them all in a box and randomly draws one.
What is the probability that Silvia draws a stamp from New Zealand?
What is the probability that Silvia draws a stamp from either Germany or Tonga?
What is the probability that Silvia draws a stamp from either Peru or Mexico?
What is the probability that Silvia does not draw a stamp from Tonga?
Answer:
1. 5/20 or simplified 1/4 25%
2. 8/20 or simplified 2/5 20%
3. 7/20 35%
4. 18/20 or simplified 9/10 90%
Step-by-step explanation:
HELPPPPPP PLEASE I HAVE 1 MORE DAY TO TURN THIS IN
Answer:
a.) h > 1 definitely not true
b.) h > 2 definitely not true
c.) h < 1 definitely true
d.) h < 2 possibly true
hope that helps...
PLEASE HELPPP MEEE OUTTTTTT
Answer:
3. b= 5
4. d= -5
5. z= 2/3
Step-by-step explanation:
3) 5b-3=22
5b=25 add 3 to both sides
b= 5 divide 5 from both sides
4) 1.5d+3=-4.5
1.5d=-7.5 subtract 3 from both sides
d=-5 divide 1.5 from both sides
5) 4=9z-2
6=9z add 2 to both sides
6/9=z divide 9 from both sides
2/3=z simplify
Yo can someone help me out
Answer:
Move the decimal to right two, add two
Hope this helps!
Answer:
Step-by-step explanation:
Applying the Pythagorean Theorem
Answer:
1. A right triangle is formed when the sum of a^2 and b^2 equals the the square of the hypotenuse. a and b are the supplementary sides and c is the hypotenuse. A right triangle must also have a right angle that is opposite from the hypotenuse.
2. The missing length tends to be the hypotenuse, also known as c^2.
3. You add up the squares of the found sides and then square root the result.
Answer:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
PLS!! HELP ASAP I WILL GIVE BRAINLIEST. write the correct answer
pic is not blurry not excuses
Answer:
Ranges are 35 and 30, interquartilr range is 77.5 and 65
Hello! the question is in the image below. Thank you for helping if you answer!
Answer:
72 cm³
Step-by-step explanation:
We can use the formula for a triangle prism's volume to solve.
V = [tex]\frac{B*H*L}{2}[/tex]
-> B is the base, H is the height, L is the length
-> Think of the area of a triangle. It is the same formula, but we also multiply by the length.
V = [tex]\frac{B*H*L}{2}[/tex]
V = [tex]\frac{3*4*12}{2}[/tex]
V = [tex]\frac{144}{2}[/tex]
V = 72
Answer:
72 cm³
Step-by-step explanation:
Please give brainliest!
What is an algebric expression that equals 32 more than a number
Answer:
x+32
Step-by-step explanation:
Answer:
x+32
Step-by-step explanation:
x is the unknown variable
24 is 25% of what number?
Enter your answer
Answer:
96
Step-by-step explanation:
25%=1/4 or 100%
24*4=96
Hope this helps! Pls give brainliest!
Answer:
96
Step-by-step explanation:
25% is 1/4 of a number
to find the whole number, multiply your 25% by 4
24x4=96
Yo can someone help me out
Answer: Maria has 15 more dollars than Jackson
Step-by-step explanation:
they both have 20 dollars
Maria gets payed 6 dollars per day for 5 days
6 x 5 = 30
Jackson gets payed 3 dollars per day for 5 days
3 x 5 = 15
30 - 15 = 15
A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2600 seats. The students left 806 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
I believe your answer would be 1794
Step-by-step explanation:
2600 - 806 = 1794
To check:
1796 (St) + 806 (chairs left) = 2600 (total chairs)
So I would think the answer is 1794
The 69% of the seats in the theatre were filled by the 6th graders on the trip if a theatre that has 2600 seats.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
Total seats = 2600
The students left 806 seats vacant.
Number of students(occupied seats = 2600 – 806 = 1794
A percentage of the seats in the theatre were filled by the 6th graders on the trip:
= (1794/2600)×100
= 0.69×100
= 69%
Thus, the 69% of the seats in the theatre were filled by the 6th graders on the trip if a theatre that has 2600 seats.
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Denise is redecorating her family room. The room is in the shape of right rectangular prism.
The dimensions of the room are: 14 feet in length by 12 feet in width by 10 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $5 per square foot.
She plans to cover the walls and the ceiling with paint. Each container of paint costs $60 and can cover 344 ft².
What is the total cost of the hardwood flooring and paint needed for this room?
Answer:
1- 168
2- $840
3- 3360
4- $585
5- $1425
Step-by-step explanation:
my head hurts now lol
I"LL MAKE YOU BRAINLIEST IF YOU ANSWER IN 5 MINUTES OE LESS
A swimming pool is being filled with water. After 25 minutes, 1/6 of the swimming pool is filled. How much longer will it take to completely fill the pool, assuming the water Rate is contested?
Answer:
125
Step-by-step explanation:
If it takes 25 minutes for 1/6 to be filled, then 25 minutes = 1/6 of the pool
To fill the pool then we need to find 6/6
25 x 6 = 150 so that is how much water is in the pool when it is full
150 - 25 minutes, because 1/6 is already full, means it takes 125 minutes longer.
What is the volume of the prism? please help me
Answer:
130 cube inches
Step-by-step explanation:
Formula: Volume = BH
Base = 8in Height = 5in Width = 3.25in
Answer:
130 cubic inches
Step-by-step explanation:
length × width × height.
My teachers are not helping me
Answer:
Your answer will be E
Step-by-step explanation:
The correct answer to this problem is E.
15/375
1/25
1 ÷ 25 or E
Each shirt cost $25
Answer:
B,D
Step-by-step explanation:
for D you divide 15 by 375 which equals 25
25/1
B is your original ratio
hope this helps
Please help mee! Thanks!!
Answer:
1. A 2. D
Step-by-step explanation:
you need a rectangle, go across from point L until you're over point O. Then you can count how many unit it took to get over point O.
Solve: h = 11.23 • 10 • 10 • 10 • 10 • 10.
1123.00
1,123,000
11.2300000
0.0001123
Answer:
The 3rd one 11.2300000
Step-by-step explanation:
HELP RIGHT NOW
I WILL GIVE BRIANLIEST
Answer:
68
Step-by-step explanation:
The 22-degree angle plus angle x is equal to the right angle opposite of it. A right angle is equal to 90 degrees. Therefore, we know that 22 + x = 90.
22 + x (- 22) = 90 (- 22)
x = 68
Therefore, angle x equals 68 degrees.
I hope this helps! Have a lovely day!! :)
(if you need further explanation, let me know!)
Let y and z stand for any two different rational numbers. If |y|<|z|, then what else must be true?
Answer:
y=-3 and z=-4
Step-by-step explanation:
PLS SHOW ALL WORK THIS IS DUE IN A FEW Minutes
Answer: -1.333333333333. rational number.
Step-by-step explanation: To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer!
What is 75x rounded by the nearest 10
Answer:
Your answer to your question is 80
write an equation that could represent the function table
Answer:
y = [tex]x^{2}[/tex]
Step-by-step explanation:
Squaring a number means multiplying the number by itself. 0*0=0. 1*1=1. 2*2=4, and 3*3=9. This is the pattern shown in the table.
find the area of the shaded triangle or quadrilateral.
Answer:
This is a trapezoid. Are you sure this is the full image? Because the trapezoid formula needs both the bases & the height.
But think I found the same problem in my RSM homework, here is an image of my answer.
Answer:
the area of the shaded triangle or quadrilateral is 13.5 sq ft
Step-by-step explanation:
Have a nice day
Hope you like this
I need help on these problems ASAP!!
ASAP PLEASE 20 POINTS EACH
mariko walks into her dark room to pull socks out of the dresser. If she has 5 pairs of white socks, 3 pair of blue socks, and 4 pairs of pink socks that are single ( not matched up ), how many socks does she need to pull out to make sure that she will ends up with 1 matching pair?
Answer:
Since there are three different categories,
4 must be drawn to be sure of getting a
matching pair. To match up 1 pair means
i pair has 2 socks she has 1 she hast pull
out i more to match up 1 pair.lt would be
thirteen.
I need help please!!!
Answer:
[tex]x < 25[/tex]
Step-by-step explanation: