Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
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:
The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.The probability that is lands tails up at least nine times is given by:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]
[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]
Hence:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
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Helpppp
I'll give 50 pts
Answer:
Step-by-step explanation:
Answer:
i agree with the other anwser!!
Step-by-step explanation:
findin the measure of each angle (3x-13)° 5x -47
The measure of each angle is 43.25 and 46.75
How to determine the measure of each angle?The attached image represents the missing piece in the question.
From the image, we can see that:
3x - 13 + 5x - 47 = 90 ---- complementary angles
Evaluate the like terms
8x = 150
Divide by 8
x = 18.75
Substitute x = 18.75 in the given angles
3x-13 = 3 * 18,75 - 13 = 43.25
5x -47 = 5 * 18.75 - 47 = 46.75
Hence, the measure of each angle is 43.25 and 46.75
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Question:
9x - 2 = 4x + 9
Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
There are 21 students in a classroom. the ratio of boys to girls is 2 boys to 5 girls. how many boys are in the classroom?
Answer:
6
Step-by-step explanation:
The ratio of boys to girls is 2:5
let the number of boys be 2x -------(i)
and number of girls be 5x
and the total number of students is 21
therefore we know that..
2x+5x = 21
on solving for x,
7x=21
x= 21/7
x=3
now, by putting the value of x in (i),
2x = 2×3 = 6
therefore, there are 6 boys in the classroom.
you find the no. of girls similarly.
hope it helps !!...
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Simplify the expression. Write your answer as a power.
4²*4³
The simplified expression is
Answer:
4^5
Step-by-step explanation:
When we are multiplying expressions with the same base, we add the exponents
a^b * a^c = a^(b+c)
4^2 * 4^3 = 4^(2+3) = 4^5
what is the probability of drawing a king and a diamond from a standard deck of cards
Answer:
P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.
How to find LCM by factorization method
Answer:
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the same numbers in each column and the remaining numbers in each column.
4. Multiply the factors to get the LCM.
for example the lcm of 24 and 36
= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1
and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2
LCM(24, 36) = 2^2 × 3 × 2 × = 72
i hope my answer was helpful and please mark me as brainliest
Characterize the slope of the line in the graph.
Help answer questions in photo!!
A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.
Answer:
[tex]\boxed{\sf \dfrac{14}{95}}[/tex]
Explanation:
Black ribbons = 8 ribbons
Green ribbons = 12 ribbons
Total ribbons: 12 + 8 = 20 ribbons
[tex]\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}[/tex]
For Lila:
[tex]\sf Lila \ picks \ black \ : \ \dfrac{8}{20}[/tex]
Left black ribbons: 8 - 1 = 7 black ribbons
Left total ribbons: 20 -1 = 19 total ribbons
For Jessica:
[tex]\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}[/tex]
Probability that they both pick black ribbons:
[tex]\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}[/tex]
[tex]\sf \rightarrow \dfrac{14}{95}[/tex]
6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
Answer:
(amounts could be:)
Katia: $3.50
Mateo: $1.75
Step-by-step explanation:
Remember that a quarter = $0.25, 4 quarters = $1.00
We know that they both have 38 quarters ($9.50)after an hour of playing games in the arcade, Katia has $1.75 more than Mateo
lets say that Katia has (random amount)$3.50(14 quarters) and Mateo has $1.75 less than that.
$3.50 - $1.75 = $1.75
Katia has $3.50 and Mateo has $1.75.What is the interquartile range of the set of data this box-and-whisker plot represents?
The interquartile range = upper quartile - lower quartile = 18 - 15 = 3 (option A).
What is Interquartile Range (IQR)?The interquartile range (IQR) of a data = upper quartile - lower quartile.
In the box-and-whisker plot given:
Upper quartile = 18Lower quartile = 15Interquartile range (IQR) = 18 - 15Interquartile range (IQR) = 3Learn more about the interquartile range on:
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Find the 14th term of the geometric sequence 2, 6, 18,
Answer:
52
Step-by-step explanation:
estimate the perimeter and the area of the shaded figure to the nearest whole number
Answer:
See below ~
Step-by-step explanation:
Perimeter
2(6 + 8)2(14)28 unitsArea
2(4 x 2) + 2(8)4(8)32 square unitsA pen was attached to a table by a small 10-inch chain. Jason lifted the pen, pulled the chain as far as it would reach, and then drew a circle as shown below.
The circumference of the circle that Jason drew is gotten as; 62.80 inches
How to find the circumference of a circle?Since Jason lifted the pen and pulled the chain as far as it would reach before drawing a circle, then it means that;
radius of circle; r = 10 inches
Formula for circumference is;
C = 2πr
Thus;
C = 2 * 3.14 * 10
C = 62.80 inches
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can someone help me with this question
Answer:
the answer will be 1 7/3 I believe
Will someone help me solve this?
sally was given a standard deck of 52 cards she randomly chose 3 cards from the deck replacing the card befor each time. what is the probability of choosing an ace, a queen, and a six?
Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.
In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.
But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:
AQ6, A6Q, QA6, Q6A, 6AQ, 6QA
That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.
Then the probability of getting a hand consisting of an ace, queen, and six is
3! • 1/13³ = 6/2197 ≈ 0.002731
Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1
Please solve this for me
If XYZ measures 55°, what is the measure of WZ?
a. 125°
B. 305
C. 55
D. 110°
Explain how the arc BX, central angle BCX, and inscribed BNX are connected. You can compare two or three at a time. B АХ C Z
Answer:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
Step-by-step explanation:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
what's the answer for 3 ( x + 2) = 11+3x-5
Answer:
question is not correct
Step-by-step explanation:
3(x+2)=11+3x+5
3x+6=11+3x+5, once 3x is subjected from both sides it becomes unsolvable
Answer: Infinite solution
Step-by-step explanation: 3x + 6 = 11 + 3x - 5
-3x
6 = 11 - 5
6 = 6
How to find area of 1 ???
Answer: 1 What???
Step-by-step explanation:
A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
Answer:
1/2 this is the correct answer to the question
Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is
The distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
How to determine the distribution?The given parameters are:
Probability of success, p = 60%
Sample size, n = 5
The distribution of y is represented as:
[tex]P(y) = ^nC_y * p^y * (1 - p)^{n-y}[/tex]
So, we have:
[tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
Hence, the distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
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A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample? 1.Assign the homework questions the numbers 1-10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded. 2.Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded. 3.Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
3. Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
The answer will be option D which is to Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
What is randomization?
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
Given that:-
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Hence the answer will be option D which is to Assign the homework questions to the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
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Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85
helppppppppppppppppppp!!!!!!!!
The answer is C.
Step-by-step explanation:
I can't explain but I literally just did this question and I got it right
Here are the driving scores of 40 new drivers. make a relative frequency table for their scores:
48, 67, 62, 74, 42, 62, 60, 75, 91, 88, 48, 60, 51, 63, 57, 85, 69, 75, 97, 72,
71, 79, 84, 65, 63, 73, 46, 55, 62, 72, 80, 55, 55, 56, 83, 80, 64, 72, 83, 92
in creating the table, you will need to make some choices about how to bin the data: how many bins,
and how wide the bins should be. you may also need to make some decisions about what to do with numbers that fall in the boundary between two bins in writing up your answers be clear about how you are making these choices there is more than one reasonable way to do it so you need to be clear about which decisions you are making.
The relative frequency table is:
Class Frequency Relative frequency
40 - 50 4 0.1
50 - 60 6 0.15
60 - 70 11 0.18
70 - 80 9 0.23
80 - 90 7 0.18
90 - 100 3 0.08
What is the relative frequency table?The relative frequency measures how often a value appears relative to the sum of the total values. The class width is 10. The class width is the difference between the upper and lower boundary (e.g. 100 - 90).
Frequency is the number of times the numbers in the class interval appear in the data set. Relative frequency is the frequency of a class interval divided by the total frequency of the data set.
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Give the following number
in Base 5.
1310 = [?]5
Expand 13 as 10 + 3.
10 = 2×5, so
13 = 2×5 + 3×1
or
13 = 2×5¹ + 3×5⁰ = 23₅