The normal curve with a mean (μ) of 50 and a standard deviation (σ) of 6 is shown below. To find the probability of the random variable being greater than 55 (P(X > 55)), we need to calculate the area under the curve to the right of 55. This shaded area represents the probability.
The normal curve, also known as the Gaussian curve or bell curve, is a symmetrical probability distribution. It is characterized by its mean (μ) and standard deviation (σ), which determine its shape and location. In this case, the mean is 50 (μ = 50) and the standard deviation is 6 (σ = 6).
To find the probability of the random variable being greater than 55 (P(X > 55)), we calculate the area under the normal curve to the right of 55. Since the normal curve is symmetrical, the area to the left of the mean is 0.5 or 50%.
To calculate the probability, we need to standardize the value 55 using the z-score formula: z = (X - μ) / σ. Plugging in the values, we get z = (55 - 50) / 6 = 5/6. Using a z-table or statistical software, we can find the corresponding area under the curve for this z-value. This area represents the probability of the random variable being less than 55 (P(X < 55)).
However, we are interested in the probability of the random variable being greater than 55 (P(X > 55)). To find this, we subtract the area to the left of 55 from 1 (the total area under the curve). Mathematically, P(X > 55) = 1 - P(X < 55). By referring to the z-table or using software, we can find the area to the left of 55 and subtract it from 1 to obtain the shaded area representing the probability of the random variable being greater than 55.
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Doug is analyzing the daily profits from the past month for three of his restaurant franchises. He has calculated the mean and standard deviation of the data, in dollars, as shown below.
Location A Location B Location C
Mean = 6,127.85
SD = 413.51 Mean = 6,296.07
SD = 440.67 Mean = 6,191.28
SD = 330.83
For which store does 68% of the data lie between $5,714.34 and $6,541.36 (1 SD from the mean)?
2.
For which location does 95% of the data lie between $5,529.62 and $6,852.94 (2 SD from the mean)?
3.
Which location had the highest average daily profit during the past month?
Answer:
it is b a c on plato
Step-by-step explanation:
Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by 3.5 yards
every minute. He uses the equation shown to find the distance of his kicks (y), in yards, after different numbers of minutes (x).
y = 3.5x + 22
After how many minutes will Ethan be kicking from 50 yards?
a 4
6 7
8
d 9
Help I need it fast if I will fail this homework
Answer:
\(y=\frac{10}{30} x+90\)
Step-by-step explanation:
y = mx + b is the formula for slope intercept form
Mark as brainliest if correct :)
Any help would be great thanks
Answer:
5x
Step-by-step explanation:
U should use a website called math.way, its much faster than brainly :P
Answer: 5x
Step-by-step explanation: Hope this helps. You just divide 20 by 4, x^2 by x, and y by y.
Which function represents the following graph?
Complete options are attached.
Answer:
Option D: y = (∛x + 3) + 3
Step-by-step explanation:
To solve this, let's plug in some values into each of the options given.
From the graph, we can see that when x = 0, y ≈ 4.45.
Thus,let's plug in 0 for x into each of the options;
A) y = (√x - 3) + 3
Put 0 for x into the equation.
y = (√0 - 3) + 3
y = (√-3) + 3
Thus will give us a complex root. Thus, it is not the correct answer.
B) y = (√x + 3) + 3
Put 0 for x into the equation.
y = (√0 + 3) + 3
y = (√3) + 3
y = 1.732 + 3
y = 4.732
Thus,this function is not the correct answer.
C) y = (∛x - 3) + 3
Put 0 for x into the equation
y = (∛0 - 3) + 3
y = (∛-3) + 3
y = -1 + 3
y = 2
y is not equal to 4.45 and thus the function is not correct
D) y = (∛x + 3) + 3
Put 0 for x into the equation
y = (∛0 + 3) + 3
y = (∛3) + 3
y = 1.44 + 3
y = 4.44
This is approximately equal to the approximate value of 4.45 on the graph. Thus, it's the correct function.
Answer:
D EDGE2022
Step-by-step explanation:
Answer quick please. I need to finish this in 5 min
Answer: I got 18
Step-by-step explanation:
Substitute all the variables
18 = 2*3^2
X = 4 * 9^2
X = 4 * 81
X = 324
324/18 = 18
so the is answer is 18.
Also are you going to A+ by any chance?
consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
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Find the volume of the composite figure please help me I don’t understand it thankyou
Answer:
i dont eather i need to know the ?
Step-by-step explanation:
One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?
\(answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps\)
I need help with number 16 and 18
16. The value of y in 2y + 7x = 4 is -15.5.
18. The value of y in 6x = 7 - 4y is 4.75.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
16. In this case, 2y + 7x = 4
when x = 5, y will be:
2y + 7x = 4
2y + 7(5) = 4
2y + 35 = 4
Collect like terms
2y = 4 - 35.
2y = -31
y = -31/2
y = -15.5
18. 6x = 7 - 4y.
6(-2) = 7 - 4y.
-12 = 7 - 4y
Collect like terms
-4y = -19
Divide
y = 19/4
y = 4.75
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Determine if the pair of functions are inverses.
To determine if two functions are inverses, we have to compose the functions into each other and get a value of x.
f(g(x)) = \(3(\sqrt{\frac{x - 12}{3} })^{2} - 12\)
The square root and the square cancel each other out.
f(g(x)) = \(3(\frac{x - 12}{3}) - 12\)
The 3's cancel each other out.
f(g(x)) = x - 12 - 12 = x - 24
since f(g(x)) = x - 24, these two functions are not inverses of each other.
The volume of a cone with height h and radius r can be found using the formula V
Find the volume of a cone with radius 9 feet and height 6 feet.
ft3
1
Tr²h
Answer:
508.94
Step-by-step explanation:
V = 1/3pi(r^2)(h)
plug in the values of r and h
V = 1/3(pi)(9^2)(6)
simplify
V = 508. 9380099
Round to nearest hundredth
V = 508.94
five times the difference of a number and three is the same as three increased by five times the number plus 3 times the number
Find the value of x. Write your answer in simplest radical form, if necessary.
Х
22
25
Step-by-step explanation:
x=√(141)
that is the answer
Answer:
x = \(\sqrt{141}\)
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 22² = 25²
x² + 484 = 625 ( subtract 484 from both sides )
x² = 141 ( take square root of both sides )
x = \(\sqrt{141}\)
a researcher measures the weight of people in a study involving obesity and type 2 diabetes. what type of measurement is being employed?
The valuable insights into complex phenomena like obesity and type 2 diabetes.
The measurement being employed in this scenario is quantitative measurement. Specifically, the researcher is measuring the weight of individuals, which is a numerical value that can be quantified and analyzed statistically.
Quantitative measurement involves collecting numerical data and using statistical methods to analyze and interpret the results. This type of measurement allows researchers to quantify variables and identify patterns, trends, and relationships between different variables.
In the context of this study on obesity and type 2 diabetes, measuring weight is a crucial component of understanding the relationship between these two variables. By collecting weight data from individuals with these conditions, the researcher can analyze the data to determine if there is a correlation between weight and the likelihood of developing type 2 diabetes.
Overall, quantitative measurement is an important tool for researchers in many different fields. It allows them to collect objective data and use statistical methods to analyze and interpret the results, providing valuable insights into complex phenomena like obesity and type 2 diabetes.
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You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?
Answer:
16 yards of barbed wire
Step-by-step explanation:
Length=5 yards
Width=3 yards
Perimeter of the pasture=2(length + width)
=2(5 yards +3 yards)
=2(8 yards)
=16 yards
You should order 16 yards of barbed wire for fencing the pasture
let f(x) = x^2 4x for what value of x is f(f(x)) = f(x)
The value of the variable x for the function f(x) = x² + 4x for which
f(f(x) ) = f(x) is equal to x = -1 or x = -3.
The function f(x) = x² + 4x
Substitute the value in the required function we get,
Right hand side
= f ( f(x))
= f ( x² + 4x )
= ( x² + 4x )² + 4 ( x² + 4x )
= x⁴ + 8x³ + 16x² + 4x² + 16x
= x⁴ + 8x³ + 20x² + 16x
Left hand side
f(x)
= x² + 4x
Equate left hand side is equal to right hand side we get,
x⁴ + 8x³ + 20x² + 16x = x² + 4x
⇒x⁴ + 4x³ + 4x³ + 16x² + 4x² + 16x = x² + 4x
⇒x² ( x² +4x ) + 4x ( x² + 4x )+ 4 ( x² + 4x ) = x² + 4x
⇒( x² + 4x ) ( x² + 4x + 4 ) = x² + 4x
⇒ x² + 4x + 4 = 1
⇒ ( x + 2 )² - 1² =0
⇒ ( x + 2 -1 ) ( x+ 2 + 1) = 0
⇒ ( x+ 1 ) ( x+ 3 ) = 0
⇒ x = -1 or x = -3
Therefore, the value of x = -1 or x = -3 for the condition f(f(x)) = f(x).
The above question is incomplete , the complete question is:
Let function f(x) = x² + 4x for what value of x is f(f(x)) = f(x).
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7.4.2. what values of x satisfy the following equations? (a) p(−x ≤ t22 ≤ x) = 0.98
The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.
The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.
We want to find the values of x such that this probability is 0.98.
We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.
This value is , 2.518.
Therefore, we need to solve the inequalities:
-2.518 ≤ -x ≤ 2.518
Solving for x, we get:
-2.518 ≤ -x x ≤ 2.518
Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.
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Evaluate 12.1p + 11.5r when p = 3 and r = 4.
Answer:
82.3
Step-by-step explanation:
p=3, r=4
12.1*3= 36.3
11.5*4= 46
36.3+46= 82.3
Answer:
82.3
Step-by-step explanation:
Hi there!
We are given the expression 12.1p+11.5r, and we want to evaluate it if p=3 and r=4
We need to simply substitute the given values into 12.1p and 11.5r respectively, then add the numbers together
If p is equal to 3, then that means that 12.1p is equal to 12.1*3, which would be 36.3
If r is equal to 4, then that means 11.5r is equal to 11.5*4, which would be 46
Now add 36.3 and 46 together
36.3+46=82.3
Hope this helps!
wich mathematical expression represent this statement?the sqaure of a number times 31. 7n2. 3n^2 3.2n + 84. n^3/ 2
Let the number be represented by "n"
What is 180 pi divided by 420 pi simplified?
Answer:
3/7
Step-by-step explanation:
A cuanto equivale 17 kilos en libras
Para convertir 17 kilogramos a libras se multiplica 17 por 2.205, dando como resultado 37.365 libras, y se puede redondear a 37.4 libras si se desea ser más preciso. Es importante tener en cuenta la relación de conversión y la precisión de las cifras al hacer conversiones de unidades de medida.
La conversión de unidades de medida es una habilidad importante en matemáticas y ciencias, y es especialmente útil cuando se trabaja con diferentes sistemas de medición en diferentes países o disciplinas. Una de las conversiones más comunes es la de kilogramos a libras.
Para convertir kilogramos a libras, se utiliza la relación de conversión de 1 kilogramo = 2.205 libras. Entonces, para convertir 17 kilogramos a libras, se multiplica 17 x 2.205 = 37.365 libras.
Es importante recordar que el sistema métrico utiliza el kilogramo como unidad de masa, mientras que el sistema inglés utiliza la libra.
Es importante también tener en cuenta la precisión de la conversión, en general se utilizan las cifras significativas para dar un resultado más preciso, en este caso 37.365 libras se puede redondear a 37.4 libras.
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Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2005, about $290 billion was spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2020? PLEASE HELP ME
Answer:
About $603
Step-by-step explanation:
Given data
The time interval 2005-2020= 15 years
The principal amount spent= $290 billion
The rate= 5%
Let us apply the compound interest formula
A=P(1+r)^t
substitute
A=290(1+0.05)^15
A= 290(1.05)^15
A= 290*2.0789
A= $602.881
Hence about $603 will be spent in 2020
what is the area under the standard normal curve between + 1 standard deviations and +2.5 standard deviation
The approximate probability of getting a z-score between +1 standard deviation and +2.5 standard deviations in a standard normal distribution is 0.1525.
What is the process to find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations?To find the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations, we can use a standard normal distribution table or calculator. Here are the steps:
Find the area to the right of +1 standard deviation using the standard normal distribution table or calculator.Therefore, the area under the standard normal curve between +1 standard deviation and +2.5 standard deviations is approximately 0.1525.
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A jar contains 2 red,2 green, and 1 blue beads. Two beads are drawn with replacement. How many outcomes are possible
Answer:
Step-by-step explanation:
Here is a "tree diagram" for this problem. The fractions in parentheses give the probabilities a bead of the indicated color being drawn at each stage. For example, the figure (2/5) after "Red" in the "First Draw" column comes from the fact that at this stage there are 2 red beads out of 5 beads all together in the jar. The figure (1/4) in the top box in the "Second Draw" column comes from the fact that now, after one red has been removed, there is only 1 red of 4 beads.
9 + k + 5 = 21
pls help
Answer:
k= 7
Step-by-step explanation:
First let's add like terms: a+b+a=c: a²+b=c
k+9+5=21
k+14=21
Subtract 14 from both sides of the equation
k+14-14=21-14
K=7
Hi!
\(\tt{9+k+5=21}\)
Step 1: Combine like terms.
\(\tt{9+5+k=21}\)
\(\tt{14+k=21}\)
Step 2: Subtract 14 from both sides.
\(\tt{k=7}\) \(\checkmark\)
Have a great day!
Hope that helps. :)
-Stargazing & daydreaming -
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
ILL GIVE BRAINLIEST TO QUICKEST AND BEST ANSWER!
Answer:
A. \(x^{3} + 3x^{2} +5x+3\)
B. \(2x^{3} -3x^{2} -5x+6\)
C. \(3y^{3} - 4y^{2} -11y+4\)
D. \(x^{2} - 2xy+y^2+x - y\)
E. \(3m^2-2mn-n^2+6m+2n\)
F. \(4x^4+4x^3+5x^2+2x+1\)
1.
(04.02 LC)
Which of the following is a common characteristic of a binomial distribution? (4 points)
There are more than two possible outcomes.
The probability of success is the same in all trials.
There are infinitely many observations.
You should perform x trials until you observe a success.
Each trial is dependent on the previous trial.
Answer: The probability of success is the same in all trials.
The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.
What is the independent probability?Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.
You should perform x trials until you observe a success.
We have given that,
There are exactly two possible outcomes success and failure.
We have to determine the following is NOT a common characteristic of a binomial distribution.
By process of elimination:-
A binomial experiment is a statistical experiment that must meet certain requirements
All trials are independent.
There are a fixed number of n trials.
The probability of success, p, is the same for each trial.
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Please help fast please
Answer:
1, 3 &4
Step-by-step explanation: