True. the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure.
A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. Each trial in a binomial distribution has two possible outcomes, which are mutually exclusive and collectively exhaustive. These outcomes are typically classified as success or failure, yes or no, heads or tails, etc. Therefore, the statement that a binomial distribution categorizes outcomes into one of two mutually exclusive categories (a success or a failure) is true.
In more detail, a binomial distribution requires the following characteristics:
1. The experiment consists of a fixed number of trials, denoted by "n".
2. Each trial has only two possible outcomes, often referred to as success (S) and failure (F).
3. The probability of success, denoted by "p," remains constant across all trials.
4. The trials are independent of each other, meaning the outcome of one trial does not affect the outcome of any other trial.
By using these characteristics, the binomial distribution allows us to calculate the probabilities of different numbers of successes in the given number of trials. It provides a framework for understanding and predicting outcomes in situations where there are two mutually exclusive possibilities.
For example, consider flipping a fair coin 10 times and counting the number of heads (successes). In this case, the binomial distribution can help determine the probabilities of getting 0, 1, 2, 3, or more heads out of the 10 flips. The outcomes of heads and tails are mutually exclusive, and the probability of getting a head (success) or a tail (failure) is the same for each flip.
In summary, the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure. This distribution is widely used in various fields, including statistics, probability theory, and hypothesis testing, to analyze situations where there are only two possible outcomes for each trial.
Learn more about outcomes here
https://brainly.com/question/29118201
#SPJ11
What is, 3 to the power of 2, times, 3 to the power of 5.
A. 3 to the power of 7
B. 3 to the power of 10
C. 9 to the power of 7
D. 9 to the power of 10
Answer:
3^7
Step-by-step explanation:
3^2 * 3^5
a^b * a^c, since the bases are the same, we can add the exponents
a^ ( b+c)
3^(2+5)
3^7
Answer:
ha
Step-by-step explanation:
please
which expression is equal (x+4)(-3x^2-4x+2)
Answer:
-3x^3-16x^2-14x+8
Step-by-step explanation:
[tex](x+4)(-3x^2-4x+2)\\\\Distribute\:parentheses\\\\=x\left(-3x^2\right)+x\left(-4x\right)+x\times\:2+4\left(-3x^2\right)+4\left(-4x\right)+4\times \:2\\\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\\\=-3x^2x-4xx+2x-4\times\:3x^2-4\times\:4x+4\times\:2\\\\Simplify\\-3x^2x-4xx+2x-4\times\:3x^2-4\times\:4x+4\times\:2:\\\\\quad -3x^3-16x^2-14x+8\\\\=-3x^3-16x^2-14x+8[/tex]
PLEASE HELP I DONT WANNA FAIL, THIS IS TOO HARD AND STRESSFUL
Answer:
That is hard. What grade are you in.
Step-by-step explanation:
Solve for v.
-V + 1 = 3
A. -9
B. -1
C.1
D. 9
Answer:
C. 1
Step-by-step explanation:
Start at (0,3)
Slope is -3/1
X intercept would be 1
Answer:
i think the answer is A. -9
Step-by-step explanation:
i really hoped this helped
Can anyone send me the answer for this
answer :
is equals to 2 Kama Q is equals to 3 Kama P is equal to minus Q is equals to 9 Pharma fees equals to minus 25 Q is equals to 6 = 2 - 61
step by step explainaion:2 by 3 Kama minus 5 by 9 Kama minus 25 by 6 - 61 by to all rational
Can someone help with these problems?
Answer:
First, you have to substitue 3 into x
20 - 5(3)
20 - 15
= 5
so the first one is 5
the next one we will do the same but with 4
20 - 5(4)
20 - 20
= 0
Step-by-step explanation:
Answer:
20-5(3)
20-15
=5
than
20-5(4)
20-20
=0
and there is your answer
Step-by-step explanation:
can someone plz answer this asap
Katherine drove 13 miles in 1/5 hour. On average, how fast did she drive, in miles
per hour?
Answer:
65 miles per hour
Step-by-step explanation:
r = d/t
1 : 5 = 0.2
r = 13 : 0.2 = 65
In a certain town 65% of homeowners watch cable TV, 40% watch Netflix, and 20% watch both.
Draw a Venn Diagram. Choose a homeowner at random. If homeowner watches cable TV, what is
the probability they watch Netflix?
Answer:
.31
Step-by-step explanation:
What would be the best first step to use to solve this equation? 7/12=5/6x
Answer: The first step would be to divide both sides by 5/6 to isolate x.
Answer:
Your answer is: x = 7/10
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
4 (32 - 139)
Simplify
Answer:
-428
Step-by-step explanation:
32-139=(-107)
4*(-107)=(-428)
Write the equation of the line that passes through the points (-1, -6) and (4,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer: y + 6 = 11/5( x + 1)
Step-by-step explanation:
To write the equation in point-slope form we need to first find the slope of the line.
The slope is the difference between the y coordinates divided by the difference between the x coordinates.
-6 - 5= -11
-1 - 4 = -5
-11/-5 = 11/5
The slope is 11/5 .
The point-slope formula says that y - b = m(x - a) where m is the slope and
b is the y coordinate of one of the point and a is the x coordinate of the same point.
We will use the point (-1,-6)
The x coordinate is -1 and the y coordinate is -6.
b will be -6 and a will be -1 while m will be 11/5.
y -(-6) = 11/5(x-(-1)
Reduce it to lowest terms.
y + 6 = 11/5( x + 1)
GONZALEZ
Problem 3.3
In order to scale figure F back to figure E, what scale
factor should you use?
20
Submit and Explain
21
20
Answer:
Step-by-step explanation:
simplify 12x^7y^4/6x^2y^5
Answer:
2x⁵/y
Step-by-step explanation:
divide 12/6 to get 2
7-2=5
25 POINTS
What is the value of f(4) + g(3)? Two functions are shown. f(x) = 64(0.5) * Enter your response here: g(x) = 20x + 12 Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, .,-, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
[tex]\displaystyle f(4) + g(3) = 76[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = 64\left(\frac{1}{2}\right)^x\text{ and } g(x)=20x+12[/tex]
And we want to find the value of:
[tex]f(4)+g(3)[/tex]
We can find the value of each function individually.
Find f(4):
[tex]\displaystyle \begin{aligned} f(4) & = 64\left(\frac{1}{2}\right)^{(4)} \\ \\ & = 64\left(\frac{1^4}{2^4}\right) \\ \\ & = 64\left(\frac{1}{16}\right) \\ \\ & = 4\end{aligned}[/tex]
Find g(3):
[tex]\displaystyle \begin{aligned} g(3) & = 20(3) + 12 \\ \\ & = (60) + 12 \\ \\ & = 72\end{aligned}[/tex]
Therefore, substitute:
[tex]\displaystyle \begin{aligned} f(4) + g(3) & = (4) + (72) \\ \\ & = 76\end{aligned}[/tex]
Therefore, in conclusion:
[tex]\displaystyle f(4) + g(3) = 76[/tex]
Help me solve this problem please
a. b. c. or .d
please help me . ASAP
Answer: Choice A
The second fraction should not have been multiplied by 9
This is because 1/9 already has the LCD in the denominator. LCD stands for lowest common denominator.
The first fraction 2/3 does not have 9 in the denominator, which is why they multiplied top and bottom by 3
2/3 = (2*3)/(3*3) = 6/9
After each fraction has the same denominator (9), you can add the numerators to place over the LCD like so
6/9 + 1/9 = (6+1)/9 = 7/9
This means,
2/3 + 1/9 = 6/9+1/9 = 7/9
Solve to the nearest tenth
[tex] \sqrt{18} [/tex]
Ms. Aikins is saving money for a vacation. Her goal is to save $250.00 a month. She has made 11 deposits or $18.00 so far. How much more money does Ms. Aikins need to meet her goal?
Answer:
if 1 deposit = $18, she´ll need $52
If she just has $18, she´ll need $232
8 less than the product of 2 and a number is 16. What is the number?
The answer is 24 when using like terms and the order of operations.
The number would be -4 which is 8 less than the product of 2 and a number is equal to 16.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Let the number would be n
Given that 8 is less than the product of 2 and a number is equal to 16.
According to the statement of the question,
⇒ 8 - (n*2) = 16
⇒ -(n*2) = 16 - 8
Apply the subtraction operation,
⇒ -2n = 8
⇒ n = -8/2
Apply the division operation,
⇒ n = -4
Hence, the number would be -4 which is 8 less than the product of 2 and a number is equal to 16.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ1
A $40,000 was bought in 2010. The value is depreciating at a rate of 4.5%. How much is the car worth in 2020?
approximately 38,200..... i think ?
help? this is geometry
The Thompson Family are filling in their circular garden with new soil for the spring. The garden has a diameter of 24 cm. The cost of the soil is $5.50 per square centimeter. How much money are they going to spend to fill their garden with new soil?
Answer:
$2488.46Step-by-step explanation:
This problem is on the mensuration of flat shapes.
firstly, we need to solve for the area of the garden.
given that the diameter d=24cm
the radius is d/2= 12cm
Therefore the area is expressed as
A= πr^2
A=3.142*12^2
A=3.142*144
A=452.448 cm^2
We are given that a square cm cost $5.50 to sandfill
therefore the entire garden will cost $5.50*452.448
$2488.46
Law of Syllogism.
If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5.
Answer:
true
Step-by-step explanation:
if it is 10,20,30,40etc...
10÷5=2
20÷5=10
30÷5=15
40÷5=20
If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5 is a correct statement.
What is Law of Syllogism ?Law of Syllogism says if a then b and if b then c implies if a then c this transition property can hold true to many of mathematical operations.
According to the given question If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5 then if a natural number ends with 0 it is divisible by 5.
This is law of Syllogism it states that (according to this question frame )
If a is divisible by b and b is divisible by c then a is also divisible by c called transitivity.
learn more about syllogism here :
https://brainly.com/question/21635821
#SPJ2
Someone help me plz hurry
-51/7
Answer:
-51/7
Step-by-step explanation:
-51/7 cannot be simplified
Answer:
-7.28571428571
Step-by-step explanation:
This is the answer, mark brainliest if it helped and/or worked!
E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12,
what is AB?
Answer:
36
Step-by-step explanation:
Since E is the midpoint, AE and EB are equal. We can write this as such,
4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36
AB=36
Complete the statement.
3 1/4÷ ? =1
Answer:
3 1/4
Step-by-step explanation:
The general rule of thumb is that if the solution is 1 and the operation is division, the the dividend (in this case 3 1/4) should be equal to the divisor (represented with the question mark; ?).
Answer:
3 1/4
Step-by-step explanation:
3 1/4
3 1/4 = 1 :)
will this answer count?
A + B/ C = D, Solve for B
Answer:
B = DC - A
Step-by-step explanation:
A + B / C = D Multiply C
A + B = CD Subtract A
B = CD - B
round 0.0625 to the nearest thousandth
Answer:
0.0630
Step-by-step explanation:
hope this helps
