For a standard normal distribution (mean = 0, standard deviation = 1), 80% of the data falls below a z-score of approximately 0.84.
A z-score represents the number of standard deviations a data point is from the mean of the standard normal distribution. For example, if a data point has a z-score of 1.96, it is 1.96 standard deviations above the mean of the standard normal distribution.
Standard normal distribution tables give the area under the standard normal curve to the left of a given z-score. The area to the right of a z-score is simply 1 minus the area to the left of the z-score. So if we want to find the z-score that corresponds to 80% of the data above it, we would look for the z-score that has an area of 0.2 to its right. The closest value listed on a standard normal distribution table to 0.84 is typically 0.841, which corresponds to an area of 0.2 under the standard normal curve to the right of that z-score.
To learn more about standard deviation please click on below link.
https://brainly.com/question/16555520
#SPJ4
WILL GIVE BRAINLIST!! please show all work
What is the arc length of an arc with a central angle of 11r/6 radians in a circle with a radius of 18cm? Round to the nearest whole number
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm[/tex]
the following is a geometric sequence, find the missing number? 14, ???, 7406, 170338
Answer:
your pattern is multiply by 23 and your missing number is 322
a high school has 44 44 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing less than or equal to 233 233 pounds?
The percentage of players weighing less than or equal to 233 pounds is 88.04%.
Percentage
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
See attachment for box plot,
From the box plot, the maximum is ,
Max = 244
the maximum is.
Min = 152
Percentage less than 233 is calculated as:
percentage = (233 - min)/ max - min
percentage = (233 - 152)/ 244 - 152
percentage = 81/92
express as percentage,
= 81/92 *100
= 8100/92
= 88.04%
learn more about percentage here :-
https://brainly.com/question/29306119
#SPJ4
Answer: 75%
Step-by-step explanation: got it right
A triangular pathway in a park is shown below. what is the approximate total length of the path ( the perimeter of the triangle)? Round answer to the nearest hundreth
The perimeter of the triangle is given by the equation P = 42.588 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the perimeter of the triangle be represented as P
Let the right triangle be represented as ABC
Now , the hypotenuse of the triangle is AC = 18m
And , the measure of ∠ACB = 30°
From the trigonometric relations ,
Let the angle be θ , such that
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin 30° = AB / 18
On simplifying the equation , we get
Multiply by 18 on both sides of the equation , we get
sin 30° = 1/2
AB = 18/2
The opposite side of the triangle AB = 9 m
Now , the base of the triangle BC is calculated from Pythagoras theorem
hypotenuse² = base² + height²
So , base BC² = ( 18 )² - ( 9 )²
The base of the triangle BC = √ ( 324 - 81 )
The base of the triangle BC = 15.588 m
Now , the perimeter of the triangle P = opposite side of the triangle AB + base of the triangle BC + hypotenuse of the triangle AC
The perimeter of the triangle P = 18 + 9 + 15.588
The perimeter of the triangle P = 42.588 m
Hence , the perimeter of the triangle is 42.588 m
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ1
105.3 is what percent of 64?
Answer:
164.53125%
Step-by-step explanation:
105.3 is 164.53100% of 64
Answer:
164.53125%
Step-by-step explanation:
105.3 is what percent of 64?
we solve with a proportion
105.3 : 64 = x : 100
x = 105.3 × 100 ÷ 64
x = 164.53125%
6 cm
6 cm
6 cm
20 cm
The area of one of the bases of the figure shown above is about 15.6 cm².
What is the surface area, in cm², of the figure? Round your answer to the
nearest tenth.
139.2 cm² is the surface area, in cm², of the figure.
What is surface area ?The surface area of a three dimensional shape is the total area of all of the faces. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.
so, we get,
Surface area = 3×6×6+2×15.6
Surface area = 139.2 cm²
Hence, 139.2 cm² is the surface area, in cm², of the figure.
To learn more on Area click:
brainly.com/question/20693059
#SPJ1
The mean of p and g is 13; the mean of g and r is 16; the mean of r and p is 7.
What is the mean of p, g and r?
(10 points)
The mean of p , g and r is given by the equation M = 12
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of p , g and r be represented as M
Now , the mean of p and g = 13
So , ( p + g ) / 2 = 13
On simplifying the equation , we get
p + g = 26 be equation (1)
And , the mean of g and r = 16
So , ( g + r ) / 2 = 16
On simplifying the equation , we get
g + r = 32 be equation (2)
And , the mean of r and p = 7
So , ( r + p ) / 2 = 7
On simplifying the equation , we get
r + p = 14 be equation (3)
Adding equation (1) , (2) and (3) , we get
2 ( p + g + r ) = 26 + 32 + 14
And , divide both sides of the equation by 2 , we get
p + g + r = 72/2 = 36
Now , the mean of p , g and r is
M = ( p + g + r ) / 3
On simplifying the equation , we get
M = 36/3
M = 12
Hence , the mean is M = 12
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ1
HELP PLEASE ASAP!!!!!!!!
The experimental probability that Dave works will be in a wedding in next week is 7 / 22.
What is experimental probability?Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times.
The probability that Dave will work in a wedding is given as:
P = Working in wedding / Sum of total work
P = 14 / 44
P = 7 / 22
Hence, the experimental probability that Dave works will be in a wedding in next week is 7 / 22.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
in correlational and experimental study designs, a key requirement for a sample is that: group of answer choices
In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation
A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.
In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.
If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.
In an experimental study design, the goal is to test a causal relationship between two or more variables.
The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.
If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.
To know more about correlational here.
https://brainly.com/question/28898177
#SPJ4
A new streaming service sent out a survey to 250 households to see who would be interested in its service. The company found that it could charge $45 per month, with a margin of error of ±1.5. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?
A. $43,500
B. $45,250
C. $46,500
D. $47,000
The least amount that the company would have to accept as their monthly revenue is A. $43,500.
How to solve for the monthly revenueFrom the amount that the streaming service is able to charge and the margin of error, we would calculate this as:
The monthly charge - margin of error
= 45 - 1.5
= 43.5 dollars
From here we have to multiply the amount by the people that signed for the service
43.5 * 1000
= A. $43,500
Read more on margin of error here:https://brainly.com/question/28810012
#SPJ1
Complete the table for the function and its inverse.
1. f(x) = 3x + 2
2.f^-1(x)=1/3(x)-2/3
Compare the domain and range for the two tables above.
The domain and the range of the function and its inverse is increasing.
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = -1, the linear function is given by;
f(x) = 3x + 2
f(-1) = 3(-1) + 2
f(-1) = -1.
When the value of x = -2/3, the linear function is given by;
f(x) = 3x + 2
f(-2/3) = 3(-2/3) + 2
f(-2/3) = 0.
When the value of x = -1/3, the linear function is given by;
f(x) = 3x + 2
f(-1/3) = 3(-1/3) + 2
f(-1/3) = 1.
When the value of x = 1/3, the linear function is given by;
f(x) = 3x + 2
f(1/3) = 3(1/3) + 2
f(1/3) = 3.
When the value of x = -1, the inverse function is given by;
f⁻¹(x) = 1/3(x) - 2/3
f⁻¹(-1) = 1/3(-1) - 2/3
f⁻¹(-1) = -0.9999
When the value of x = 0, the inverse function is given by;
f⁻¹(x) = 1/3(x) - 2/3
f⁻¹(0) = 1/3(0) - 2/3
f⁻¹(0) = -2/3.
When the value of x = 1, the inverse function is given by;
f⁻¹(x) = 1/3(x) - 2/3
f⁻¹(1) = 1/3(1) - 2/3
f⁻¹(1) = -1.
When the value of x = 3, the inverse function is given by;
f⁻¹(x) = 1/3(x) - 2/3
f⁻¹(3) = 1/3(3) - 2/3
f⁻¹(3) = 1/3.
Read more on inverse function here: brainly.com/question/29011518
#SPJ1
y'all please help me I've been stuck on this question for the past hour and I still have a whole nother test to do
what is the probability that someone is from the u.s? what is the probability that someone has at least 2 children? what is the probability that someone is from the u.s and has one child?
The required probability for the given table are as follow :
a. Probability of someone from US = 0.5089
b. Probability of someone has at least 2 children = 0.4196
c. Probability of someone from US and has one child = 0.125.
Total number of children is equal to 112
Probability = Favourable outcome / ( total number of outcome )
a. Number of children representing someone from US = 57
Probability of someone from US = 57 / 112
= 0.5089
b. Favourable outcome representing someone has at least 2 children is
= P (2) + P(3)
= ( 18 + 11 )/ 112 + (8 + 10 )/ 112
= (29 + 18) / 112
= 47/112
= 0.4196
c. From US and has one child :
Favourable outcome = 14
Probability of someone from US and has one child
= 14 / 112
= 0.125
Therefore, the probability of the different conditions are :
a. Probability from US = 0.5089
b. Probability of at least 2 children = 0.4196
c. Probability from US and one child = 0.125
The above question is incomplete, the complete question is:
For the table given below answer the following question:
Children : 0 1 2 3 or more Total
From US : 17 14 18 8 57
Outside US : 15 19 11 10 55
Total : 32 33 28 18 112
a. What is the probability that someone is from the US?
b. what is the probability that someone has at least 2 children?
c. what is the probability that someone is from the US and has one child?
Learn more about probability here
brainly.com/question/30034780
#SPJ4
Factor completely 25x² - 49
Answer:
(5x-7)(5x+7)
Step-by-step explanation:
[tex]25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)[/tex]
Remember that the difference of squares formula is [tex]a^2-b^2=(a-b)(a+b)[/tex].
Answer:
(5x-7) x (5x+7)
Step-by-step explanation:
25x^2- 49
5^2 x 2^2 - 49
5^2 x 2^2 -7^2
(5x)^2 -7^2
(5x-7) x (5x+7)
a fair, six-sided die is rolled repeatedly until either two prime numbers or two even numbers are rolled. what is the expected number of ones that are rolled?
The probability number of times to roll the number cube to result in a prime number 12 times is 24
How to determine the number of times?
The given parameters are:
Number cube = 6 sides
Number of times= 12
The probability of obtaining a prime number in a six-sided die is:
P(Prime) = 3/6
The number of times (n) is then calculated as:
p * n = 12
Substitute known values
3/6 * n = 12
Evaluate the fraction
1/2 * n = 12
Multiply both sides by 2
n = 24
Hence, the number of times is 24
Read more about probability at:
brainly.com/question/251701
#SPJ4
unos amigos hicieron dos pizzas y se las repartieron en partes iguales y sin que sobre nada a cada uno le toco 2/7 de pizza, entre cuantos amigos se repartieron las pizzas?
El número de amigos que reciben 2/7 de la pizza es de 7 personas.
Por cierto dividimos 2 pizzas con 2/7 = 2 : 2/7 = 7 personas
Definición de comparaciónLas comparaciones en matemáticas también pueden denominarse proporciones.
Entonces, ¿qué es una comparación o razón?
La comparación (razón) es una técnica o forma de comparar dos cantidades.
Escribir proporciones o comparaciones se puede escribir como a : b o a/b donde a y b son dos cantidades que tienen las mismas unidades.
A continuación se explicarán ejemplos de aplicación de comparaciones en la vida cotidiana.
Comparaciones en la vida cotidiana
Hay muchas aplicaciones de la comparación en la vida cotidiana. Escribir la escala en un mapa es una aplicación de la comparación.
Luego, cuando vamos a hacer pan suele haber una mezcla de masa de harina de trigo y harina de tapioca.
Por ejemplo, la proporción es de 2:1, lo que significa que para hacer el pan necesitas 2 partes de harina de trigo y 1 parte de harina de tapioca.
Learn more about comparison in math at
https://brainly.com/question/1452360
#SPJ1
Draw a diagram and explain how you can use it to find 3 ÷ 1/5
Answer:
15
--- = 15
1
Step-by-step explanation:
keep change flep
4 times the difference of x and 2
Answer:
The answer can be written in multiple forms
[tex]4 \left(x-2 \right)[/tex] or [tex]4x-8[/tex]
Step-by-step explanation:
Given "4 times the difference of x and 2".
"Times" is multiplication and can be expressed as *
"the difference of x and y" can be expressed as (x -y)
Therefore in this example we can write
[tex]4 \left(x-2 \right)[/tex]
We can leave it as is or simplify it further.
We can simplify it by applying the distributive property.
Distribute the 4.
[tex](4*x)-(4*2)[/tex]
[tex]4x-8[/tex]
a right triangle has side lengths of 12 feet and 5 feet. what is the length, in feet, of the hypotenuse?
Find the volume of the sphere shown below give the answer in terms of pi show or explain your work
Volume of sphere is 288π mm³.
What is volume?Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes.
Given,
Radius of sphere r = 6 mm
Volume of sphere
= (4/3)πr³
= (4/3)π×6³
= (4/3)π×6×6×6
= 4π×2×6×6
= 288π mm³
Hence, 288π mm³ is volume of sphere.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ1
I need to turn a quadratic equation into standard form, but it looks weird. The equation is y = 11 (3x^2 + 5). I'm trying to turn it into y = ax + bx + c format. I understand that concept in general, but how do I deal with the squared 3 in the place of b? Help me.
Answer:
y = 33X^2 + 55
Step-by-step explanation:
by expanding the equation you provided, we will get the answer
be reminded, the general form of a quadratic equation us,
y =ax^2+bx+c
What does the transformation f(x)↦f(x)–5 do to the graph of f(x)
Answer:
The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis
Step-by-step explanation:
the probability of rolling a 6 on a biased dice is 1/5
The probability of rolling two sixes is 1/25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given, the probability of rolling a 6 on a biased dice is 1/5.
Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;
P(not 6) = 1 - 1/5
P(not 6) = 4/5
A) Please find attached the completed tree diagram
B) First Roll:
P(6) = 1/5
P(not 6) = 4/5
Second Roll:
Now,
P(6 | 6) = 1/5 × 1/5
= 1/25
P(6 | not 6) = 1/5 × 4/5
= 4/25
So, P(not 6 | 6) = 4/5 × 1/5
= 4/25
P(not 6 | not 6) = 4/5 × 4/5
= 16/25
Therefore, the probability of rolling two sixes is 1/25.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
The probability of rolling a 6 on a biased dice is 1/5
1) complete the tree diagram.
2) Work out the probability of rolling two sixes.
-19 + ? = -48 Determine the unknown addend
Answer:
? = -29
Step-by-step explanation:
-19 + x = -48
x= -48 + 19
x = -29
Answer:
? = -29
Step-by-step explanation:
To figure out the unknown value, start by adding -19 to both sides to leave the unknown by itself.
? = -48 + 19
Negative numbers count down, so -48 + 19 = -29
I hope this helped!! :)
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
which of the following is true about graphical data? question 9 options: a) all graphs should start at the origin. b) an equation of the best-fit line of data can be used to estimate untested values. c) graphical correlations always have a positive relationship. d) the x-values of a graph can be estimated based on the y-values. e) all data on a graph should be linear.
The correct answer is B) an equation of the best-fit line of data can be used to estimate untested values.
The equation of the best-fit line of data can be calculated by determining the slope (m) and the y-intercept (b) of the line. It is calculated by using the linear regression equation: y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the equation: m = (Σxy)/(Σx2). The y-intercept is determined by the equation: b = (Σy - mΣx)/n. Once these values are determined, it is possible to estimate untested values with the equation of the best-fit line. For example, if we have a graph with data points (2, 3) and (4, 7), the equation of the best-fit line would be y = 2x + 1. This equation can be used to estimate the value of y when x = 6; in this case, y = 11.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ4
Short answer needed ASAP
The surface area of the prism is 142 square in
How to determine the surface areaFrom the question, we have the following parameters that can be used in our computation:
The net of a rectangular prism
The surface area of the prism is the sum of the individual shapes that make up the net
Using the above as a guide, we have the following:
Surface area = 2 * 7 * 3 + 2 * 5 * 3 + 2 * 5 * 7
Evaluate the sum of products
Surface area = 142
Hence, the surface area is 142 square in
Read more about surface area at
https://brainly.com/question/15990299
#SPJ1
how many different prime numbers are factors of the positive integer n ? (1) four different prime numbers are factors of 2n (2) four different prime numbers are factors of n2
A prime number doesn't have sequence so, it cannot be model with sequence.
Prime numbers are number that can only be divided by itself and 1.
E.g 2,3,5,7,11,13,17,19,23,29 etc.
So, note that this sequence doesn't have a pattern, it is neither Geometry Progression nor Arithmetic Progression.
Now, let take look at the model given
If n is prime, then 2n-1 is prime
Let take 5 for
n=5 is a prime number
2n-1=2(5)-1=10-1=9
9 is not a prime number so the model doesn't work
A prime number doesn't have sequence so, it cannot be model with sequence.
learn more about of sequence here
https://brainly.com/question/14852173
#SPJ4
what is the correct answers
a) The inequality that models this situation is given as follows: 24x ≤ 250.
b) The solution to the inequality is given as follows: x ≤ 10.41.
c) The number of baseballs that can be purchased is of at most 10.
What is a proportional relationship?A direct proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
As the cost of each baseball is of $24, the constant is given as follows:
k = 24.
The equation giving the total cost of purchasing x baseballs is given as follows:
y = 24x.
The budget to spend is of $250, hence the inequality is given as follows:
24x ≤ 250.
The solution is given as follows:
x ≤ 250/24
x ≤ 10.41.
As the number of baseballs is a countable amount, at most 10 baseballs can be purchased, rounding down the amount.
More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
Please help me really fast need to answer fast