The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is 30%.
The probability that a randomly selected school or district uses digital content is 72%. To find the probability that a randomly selected school uses digital content and uses it as part of their curriculum, we need to divide the number of schools that use digital content and use it as part of their curriculum (6) by the total number of schools (20). This gives us 6/20 or 30%. Therefore, the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is 30%.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
for a uniform probability density function, the height of the function . a. decreases as x increases b. cannot be larger than 1 c. is the same for each value of x d. is different for various values of x
for a uniform probability density function, the height of the function is determined by the constant value that the function takes over the interval of definition, and it is determined by the requirement that the integral of the function over the interval of definition must be equal to
1. The height of a uniform probability density function over an interval [a,b] is given by:
f(x) = 1/(b-a) for a <= x <= b
where b-a is the length of the interval.
A uniform distribution is a continuous probability distribution and connected to the events which are likely to occur equally. A uniform distribution is explained by two parameters, a and b, where a is the minimum value and b is the maximum value.
To know more about Probability:
https://brainly.com/question/30034780
#SPJ4
find the values of X such that the given vectors are orthogonal. xi + 2xj xi - 5j
The values of x that make the given vectors orthogonal are xi = 5 and xi = -2.
The dot product of two vectors is equal to zero when the vectors are orthogonal. Thus, to find the values of X such that the given vectors are orthogonal, we must set the dot product of the two vectors to zero and then solve the resulting equation. The dot product of two vectors is calculated by taking the sum of the product of the corresponding components of the two vectors. In this case, the dot product of the two vectors is calculated as:
(xi + 2xj) • (xi - 5j) = xi2 + 2xixj - 5xi - 10xj
Setting this equal to zero and solving for x, we obtain
xi2 + 2xixj - 5xi - 10xj = 0
Subtracting 2xixj from both sides, we get
xi2 - 5xi - 10xj = -2xixj
Factorizing the left-hand side, we get
(xi - 5)(xi + 2) = -2xixj
Setting the two factors on the left-hand side equal to zero and solving for x, we get
xi - 5 = 0 => xi = 5
and
xi + 2 = 0 => xi = -2
Thus, the values of x that make the given vectors orthogonal are xi = 5 and xi = -2.
Learn more about dot product here:
https://brainly.com/question/29619659
#SPJ4
A 24-hour digital clock shows the time in hours and minutes.
How many times in one day will it display all four digits 2, 0, 1 and 9 in some order?
Answer:
10
Step-by-step explanation:
All possible permutations except those that are not shown by the clock.
Eg:92:02
How long is 9 kilometers? How far is 9 kilometers in miles? 9 km to mi conversion.
9 kilometers represents the distance from one point to another point. 9 kilometers is equal to 5.59234073013601 miles.
What is the unit of distance?
Any arbitrarily selected and widely used reference standard for length measurement is referred to as a unit of length. The metric system, which is adopted by every nation on earth, is the most widely used in modern times. The American customary units are also in use in the United States.
The S.I. unit of distance is kilometers.
Given that the distance between the two points is 9 kilometers.
1 kilometer is equivalent to 0.621371 miles
9 kilometers is equivalent to 0.621371×9 miles
= 5.59234073013601 miles
To learn more about unit, click on the below link:
https://brainly.com/question/27519813
#SPJ4
What is the point of concurrency of a triangle called?
The intersection of a triangle's three medians is known as the centroid. It is always inside the triangle since it is the center of mass (or center of gravity).
What is meant by point of concurrency of a triangle?A triangle's three perpendicular bisectors all meet at this same location. The circumcenter is the location where each perpendicular bisector intersects the other. 1. The circumcenter, or center of the circle, is where the circle is bounded.
Because of this, the circumcenter may be located either inside or outside the triangle. The two points of concurrency that are able to do that are the circumcenter and orthocenter.
An intersection of three or more lines is known as a point of concurrency. The four points of concurrency are the centroid, the orthocenter, the circumcenter, and the incenter. The point of concurrency where a triangle's three medians cross is known as the centroid.
To learn more about triangle refer to:
https://brainly.com/question/1058720
#SPJ4
(Theoretical Probability LC)
When given a set of cards laying face down that spell D, E, C, I, M, A, L, S, determine the probability of randomly drawing a consonant.
three sevenths
five sevenths
three-eighths
five-eighths
The probability of randomly drawing a consonant is 5/8
How to determine the probability of randomly drawing a consonant.From the question, we have the following parameters that can be used in our computation:
D, E, C, I, M, A, L, S,
In the above word, we have
Consonant = 5
Letters = 8
So, we have
Probability of consonant = 5/8
Hence, the required probability is 5/8
Read more about probability at
https://brainly.com/question/251701
#SPJ1
Answer: the answer is 5/8
Step-by-step explanation:
If you use the 5 letters
Do the value in the table repreent a proportional relationhip?
x 0 1 2 3
y 0 3 5 6
Select from drop-down menu to correctly complete tatement. All of the y- value chooe. A contant multiple of the correponding a value, o the relationhip chooe
The values in the table do not represent a proportional relationship. The y-values are not a constant multiple of the corresponding x-values.
Proportional Relationship AssessmentA proportional relationship exists between two variables when one variable is equal to a constant multiple of the other variable. In the given table, if x increases by 1 unit, the corresponding increase in y is not always the same.
For example, when x increases from 1 to 2, y increases by 2 units (from 3 to 5), but when x increases from 2 to 3, y increases by only 1 unit (from 5 to 6). This lack of a constant ratio between x and y means that the relationship between the two variables is not proportional.
The applicability of proportional relationships depends on the specific problem and the nature of the relationship between the variables being considered. In some cases, a proportional relationship may not be the best model to describe the relationship between variables, and alternative models may be more appropriate.
Learn more about Proportional Relationship Assessment here:
https://brainly.com/question/30370493
#SPJ4
1.2.9. attempt to solve the system −x1 3x2 − 2x3 = 4, −x1 4x2 − 3x3 = 5, −x1 5x2 − 4x3 = 6, using gaussian elimination and explain why this system must have infinitely many solutions.
The system of equation have 0 = 0, so this system must have infinitely many solutions.
The system of equations are:
-x(1) + 3x(2) - 2x(3) = 4,
-x(1) + 4x(2) − 3x(3) = 5,
-x(1) + 5x(2) - 4x(3) = 6
An approach for resolving networks of linear equations is called Gaussian elimination, commonly referred to as row reduction. It comprises of a series of operations carried out on the relevant coefficients matrix.
[tex]\left [ \begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4\end{matrix} \right ]\begin{bmatrix}x(1)\\ x(2)\\ x(3)\end{bmatrix}=\begin{bmatrix}4\\ 5\\ 6\end{bmatrix}[/tex]
The matrix is in the form of
[A][X] = [D]
To solve the matrix we represent the matrix in the form of [A : D]
Now writing the augmented matrix
[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ -1 &4 &-3 \\ -1&5 & -4 \end{matrix}\right| \begin{matrix}4\\5 \\6 \end{matrix}\right ][/tex]
Now solving the matrix
R(2)→R(2) - R(1) and R(3)→R(3) - R(1)
[tex]\left [ \left.\begin{matrix}-1 &3 & -2\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}4\\1 \\2 \end{matrix}\right ][/tex]
R(1)→R(1) - R(3)
[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&2 & -2 \end{matrix}\right| \begin{matrix}2\\1 \\2 \end{matrix}\right ][/tex]
R(3)→R(3) - 2R(2)
[tex]\left [ \left.\begin{matrix}-1 &1 & 0\\ 0 &1 &-1 \\ 0&0 & 0 \end{matrix}\right| \begin{matrix}2\\1 \\0 \end{matrix}\right ][/tex]
Now we can see that the last every elements are zero, which shows
0 = 0
So the system of equation have infinitely many solutions.
To learn more about Gaussian elimination link is here
brainly.com/question/12090959
#SPJ4
The complete question is:
Attempt to solve the system
-x(1) + 3x(2) - 2x(3) = 4,
-x(1) + 4x(2) − 3x(3) = 5,
-x(1) + 5x(2) - 4x(3) = 6,
using gaussian elimination and explain why this system must have infinitely many solutions.
what is the acceleration at time 11.25 s?
The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².
What is acceleration?
A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.
The graph for the acceleration points are given.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
From graph instantaneous acceleration at time 11.25s is 8 m/s².
Therefore, the value is obtained as a = 8 m/s².
To learn more about acceleration from the given link
https://brainly.com/question/460763
#SPJ4
A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.
Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)
Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)
Part A: 3.5x6 feet
14x3=42 24x3=72
42/12=3.5 72/12=6
Part B: 21 square feet
3.5x6=21
Part A: The dimensions of the print are 3.5 feet (width) and 6 feet (length).
Part B: The area of the print is 21 square feet.
We have,
Part A:
Width of the print: 14 inches * 3 = 42 inches
Length of the print: 24 inches * 3 = 72 inches
Convert inches to feet by dividing by 12.
Width of the print in feet: 42 inches / 12 = 3.5 feet
Length of the print in feet: 72 inches / 12 = 6 feet
Part B:
Area of the print:
= 3.5 feet * 6 feet
= 21 square feet
Therefore,
The dimensions of the print are 3.5 feet (width) and 6 feet (length).
The area of the print is 21 square feet.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ4
55 POINTS, WILL GIVE BRAINLEST, ASAP
Data was collected on the weight, in ounces, of kittens for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 2.75 + 0.2d, where w is the weight of the kitten in ounces and d is the age of the kitten in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
0.2; a kitten who is just born is predicted to weigh 0.2 ounces
0.2; for each additional day after the kitten is born, its weight is predicted to increase by 0.2 ounces
2.75; a kitten who is just born is predicted to weigh 2.75 ounces
2.75; for each additional day after the kitten is born, its weight is predicted to increase by 2.75 ounces
Answer:
The w-intercept of the line of fit is 2.75, and it means that a kitten who is just born is predicted to weigh 2.75 ounces. This is because the equation of the line of fit is w = 2.75 + 0.2d, where w is the weight of the kitten in ounces and d is the age of the kitten in days. When d = 0, the equation becomes w = 2.75, so the w-intercept is 2.75.
Step-by-step explanation:
mark as brainliest
EASY ABCD QUESTION, WILL GIVE BRAINLEIST TO FIRST ANSWER,
Determine the number of solutions to the system of linear equations shown on the graph.
A. No solution
B. Infinitely many solutions
C. One solution at (−3, 2)
D. One solution at (2, −3)
D (2,-3)
Just look where the lines meet
Answer: D IS CORRECT
Step-by-step explanation:
the following transaction occurred few days before and after leopard company’s fiscal year which ends october 31. the company uses a periodic inventory system.
Leopard Company’s fiscal year ends on October 31. If the company uses a periodic inventory system, it will record transactions for the few days before and after October 31 as follows:
Leopard Company will record the transactions for the few days before and after October 31 as they occur and will adjust the inventory balance at the end of the fiscal year.Leopard Company will record sales and purchases as they occur, regardless of the fiscal year-end. However, since the company uses a periodic inventory system,
it will need to take a physical count of its inventory at the end of the fiscal year and adjust the inventory balance accordingly. The purpose of this adjustment is to ensure that the inventory balance on the balance sheet accurately reflects the quantity and cost of goods available for sale.
This adjusting entry is important to ensure accurate financial statements and to provide an accurate representation of the company's financial position.
To know more about balance sheet click on the link below:
https://brainly.com/question/26323001#
#SPJ11
Amar is saving for a trip to Costa Rica with his friends. He has estimated that his travel
expenses will cost between $1,800 and $2,400 total. He has $300 In savings, and he earns
$16.50 per hour at his job. He wants to know how many hours he must work to afford the
trip.
1.
Write an inequality to represent the situation.
The inequality for number of hours Aman worked
90.9 hour < h < 127.27 hour
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Amar travel expenses will cost between $1,800 and $2,400 total.
He has $300 In savings, and he earns $16.50 per hour at his job.
let the number of hours be represented by h.
So, 300 + 16.5h = 1800
16.5h = 1500
h = 90.9
and, if the expense exceeds to $2400
300 + 16.5h = 2400
16.5h = 2100
h = 127.27
Thus, the inequality is
90.9 hour < h < 127.27 hour
Learn more about Inequality here;
https://brainly.com/question/30228778
#SPJ1
What i the monthly fee for Jeica’ plan if he doe not end any text meage? Show your work
Answer:
can u screenshot the question then ill solve it!!
Step-by-step explanation:
Assume the world population at the end of 2017 was 7.4 billion people. The population growth rate in 2018 is 1.07%. How many more people were on the planet at the end 2018?
At the end of 2018, the world population was approximately 7.53 billion people. This figure is calculated by taking the total population at the end of 2017, 7.4 billion people, and multiplying it by the population growth rate of 1.07%..
This means that the world population increased by approximately 130 million people in 2018. This population growth rate is consistent with the average growth rate of the world population over the last decade. While the population growth rate has been decreasing over the past few decades, it is still relatively high at 1.07%.
The high population growth rate is primarily due to high fertility rates in developing countries and a longer life expectancy in developed countries. This means that more people are born and fewer people die each year. As a result, the total population of the world increases each year.
know more about population here
https://brainly.com/question/27991860#
#SPJ11
Complete the table of values, Y equals 2X squared plus X
The corresponding values of x and y is (4, -2), (0, 0) and (2, 10).
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x²+x.
substitute the value of x to get the corresponding value of y
When x = -2
y = 2x² + x
= 2(-2)² + (-2)
= 2(4) - 2
= 6 - 2
= 4
(x, y) = (4, -2)
When x = 0
y = 2x² + x
= 2(0)² + 0
= 2(0) + 0
= 0 + 0
= 0
(x, y) = (0, 0)
When x = 2
y = 2x² + x
= 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
(x, y) = (2, 10)
Therefore, the corresponding values of x and y is (4, -2), (0, 0) and (2, 10).
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
The shape shown is made of centimetre cubes. Work out how many more centimetre cubes would need to be added to turn the shape into a solid 3x4x4 cuboid.
The number of cubes that would be needed to be added to turn the shape into a solid 3x4x4 cuboid would be = 24 cubes.
What is a cuboid?A cuboid is defined as the type of quadrilateral that has 6 faces, 8 vertices, and 12 edges.
The volume of the cuboid;
volume of the cuboid;= l×w×h
= 3x4x4
= 48cm³
The volume of each cube = 1cm×1cm×1cm
The number of cubes available= 24 cubes
Therefore the remaining cubes = 48-24 = 24 cubes.
Learn more about cuboid here:
https://brainly.com/question/29568631
#SPJ1
Find the slope of the line containing the points ( 3, 4 ) and ( 3, - 6 ).
Answer:
Undefined
Step-by-step explanation:
in order to find the slope we can plug it into the slope formula:
k=(y1-y2)/(x1-x2) where the line contains points (x1,x2) and (y1,y2)
So we plug in
it's equal to -6-4/3-3 which is -10/0 which is undefined because we can't divide by 0
This is a new version of the question/Make sure you start new workings.
Which shapes below are similar to triangle T?
Choose all of the correct answers,
Watch video
E
Answer:
the answers are D and C they both look like triangle T
Answer:
B&F
Step-by-step explanation:
T bottom is 2 squares, side is 3 squares,
so we just need to look for all the shapes with multiples of 2 & 3
Count each, if base is 2 multiple by 2, 3, 4, etc.,
then side must be multiplied by the same
so only B & F satisfy this rule
A space shuttle orbits earth at a rate of about 4,375 miles in 15 minutes at this rate how far does the space shuttle travel around earth in 1 hour?
Answer: 17500 miles
Step-by-step explanation:
Pls Help due in 20 minutes
Will mark brainliest if right
a. The speed of the truck in km/hr at the end of 20.0m is
v = (100 m/s) - (0.5 * 6.5 m/s^2 * 20.0 s^2)
v = (100 m/s) - (65 m/s)
v = 35 m/s
v = 35 * (3600 s/hr) / (1000 m/hr) = 126 km/hr
b. The time elapsed is
t = √(2 * 20 m / 6.5 m/s^2) = 3.19 s
The speed of the truck in km/h at the end of this distance is equal to 81.43 km/h.
The time elapsed is equal to 0.7939 seconds.
How to calculate the speed of the truck in km/h?In order to determine the speed of the truck in km/h at the end of this distance, we would apply the third equation of motion:
v² = u² + 2as
Where:
V represents the final velocity.U represents the initial velocity.S represents the distance travelled or covered.a represents the acceleration or deceleration.Next, we would convert the value of deceleration in m/s² to km/h² as follows;
Deceleration, a = 6.5 × 60⁴/1000 = -84,240 km/h².
Distance, s = 20/1000 = 0.02 m.
Substituting the given parameters into the third equation of motion, we have;
v² = 100² + 2(-84,240)(0.02)
Speed, v = √(10,000 - 3,369.6)
Speed, v = √6,630.4
Speed, v = 81.43 km/h.
Lastly, we would determine the time by using the first equation of motion:
V = U + at
Time, t = (V - U)/a
Time, t = (100 km/h - 81.43 km/h)/6.5
Time, t = [(100 × 1000/3600) - (81.43 × 1000/3600)]/6.5
Time, t = (27.78 - 22.62)/6.5
Time, t = 5.16/6.5
Time, t = 0.7939 seconds.
Read more on time here: https://brainly.com/question/30318572
#SPJ1
Complete Question:
The driver of a pick up truck going 100 km/h applies the brakes, giving the truck a uniform deceleration of 6.50 m/s^2 while it travels 20.0 m.
a. What is the speed of the truck in km/h at the end of this distance?
b. How much time has elapsed?
Rewrite the expression (3^3/43^3/8)^4/9 as an exponent with a single base, 3x
The expression when rewritten is 3^1/2
How to rewrte the expressionFrom the question, we have the following parameters that can be used in our computation:
(3^3/4 * 3^3/8)^4/9
Apply the law of indices
So, we have
(3^9/8)^4/9
Simplify the exponent
3^1/2
Hence, the solution is 3^1/2
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
The expression can be rewritten as 3^1/2 = √3
How to rewrite the expression:
We want to simplify the expression below:
(3^3/4 * 3^3/8)^4/9
Remember that we can add these exponents, so we get:
3/4 + 3/8 = 9/8
Then we can rewrite this as:
(3^9/8)^4/9
Takin the product between the exponents we will get:
(3^9/8)^4/9 = 3^(4/8) = 3^1/2
the solution is 3^1/2
Read more about expressions at:
brainly.com/question/15775046
#SPJ1
what is the probability mass function, p(x = x), for x? (round to two decimal places.)
The marginal probability mass function px(x) is:
Px(0) = 0.26
Px(1) = 0.48
Px(2) = 0.26
We have to determine the marginal probability mass function px(x).
We determine the total of each value of y(0, 1, 2) at x = 0 to evaluate the value of Px(0).
The values of y(0, 1, 2) at x = 0 is:
Px(0) = Py(0) + Py(1) + Py(2)
Px(0) = 0.10 + 0.11 + 0.05
Px(0) = 0.26
We determine the total of each value of y(0, 1, 2) at x = 1 to evaluate the value of Px(1).
The values of y(0, 1, 2) at x = 1 is:
Px(1) = Py(0) + Py(1) + Py(2)
Px(1) = 0.17 + 0.23 + 0.08
Px(1) = 0.48
We determine the total of each value of y(0, 1, 2) at x = 2 to evaluate the value of Px(2).
The values of y(0, 1, 2) at x = 2 is:
Px(2) = Py(0) + Py(1) + Py(2)
Px(2) = 0.06 + 0.14 + 0.06
Px(2) = 0.26
To learn more about marginal probability link is here
brainly.com/question/30075742
#SPJ4
The complete question is:
The joint probability mass function of random variable X and Y is given in the following table:
y
X 0 1 2
0 0.10 0.11 0.05
1 0.17 0.23 0.08
2 0.06 0.14 0.06
Find the marginal probability mass function px(x). Round the answers to two decimal places.
Px(0) =
Px(1) =
Px(2) =
HELP ASAP 50 POINTS!!!
Which inequality represents the graph below?
A.y>=5
B.x>=5
C.y<=5
D.x<=5
Answer:
y<=5
Step-by-step explanation:
Relative to ground level, a black garden ant digs -20 7/9 feet and a red harvester ant digs -20 39/50 feet.Which ant is closer to ground level?
The red harvester ant is closer to ground level.
What is Relative distance?The relative distance is defined as the product of the relative distance multiplied by the specified time. The relative distance unit is the same as the length unit.
Distance is typically defined as the amount of space between two locations that can be measured. In geography, a few different types of distance are used to explain not only the physical distance between two points but also the variations in distinct racial and ethnic groups, cultural traditions, political ideals, and social mores. A unique unit of measurement known as relative distance is used in geography to explain a variety of societal aspects.
As it has dug deeper (more negative) than the black garden ant. The number -20 39/50 is more negative than -20 7/9.
Therefore, The red harvester ant is closer to ground level.
To know more about Relative distance visit,
https://brainly.com/question/27796124
#SPJ1
1. 0= (x-3)(x+4)(x²-4)
Solve. Show your work please
Answer:
do u want the ans then see my mèsßage
(1 point) rework problem 7 from section 2.3 of your text. assume that the student has a cup with 8 writing implements: 4 pencils, 3 ball point pens, and 1 felt-tip pen. (1) in how many ways can the student select 3 writing implements? 56 equation editorequation editor (2) in how many ways can the selection be made if no more than one ball point pen is selected? equation editorequation editor
(1)a total of 28 ways the student can select 3 writing implements
2)A total of 25 ways the selection be made if no more than one ballpoint pen is selected.
For the first question, the student has three different types of writing implements and thus three different ways to make a selection. The student can choose any combination of three pencils, three ballpoint pens, or three felt-tip pens. This is known as a combination problem and can be solved using the combination formula. The combination formula, which is often written as "n choose k" (where n is the number of objects and k is the number of objects to be selected), can be used to calculate the total number of possible combinations.
In this case, the student has 4 pencils, 3 ballpoint pens, and 1 felt-tip pen, so the combination formula would be (4 choose 3) + (3 choose 3) + (1 choose 3). This simplifies to 28, meaning that there are 28 possible ways the student can select 3 writing implements.
For the second question, the student is limited to selecting no more than one ballpoint pen. Since the student can only select one ballpoint pen, the combination formula would now be (4 choose 3) + (2 choose 3) + (1 choose 3). This simplifies to 25, meaning that there are 25 possible ways the student can select 3 writing implements without selecting more than one ballpoint pen.
To know more about combination refer to the link brainly.com/question/28720645
#SPJ4
height of men in america have a normal distribution with a mean of 69.5 9 inches
The value of [tex]P(68 < \bar{X} < 70)[/tex] is 0.759298
What is average/mean ?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Given mean [tex]\mu[/tex]=69.5 , S=3
Consider [tex]P(68 < \bar{X} < 70)[/tex]
= P[ (68-69.5)/(3/√20) < ( [tex]\bar{X} -\mu[/tex] )/(S/√n) < (70-69.5)/(3/√20) ]
= P ( -2.23607 < Z < 0.74535 )
= P ( Z< 0.7453) - P(Z < -2.2360 )
= 0.77197 - 0.01267
= 0.759298
Hence, [tex]P(68 < \bar{X} < 70)[/tex] = 0.759298
To learn more about the average from the given link
https://brainly.com/question/1136789
#SPJ4
height of men in america have a normal distribution with a mean of 69.5 inches and a standard deviation of 3 inches. In a random sample of 20 adult men in the united states find [tex]P(68 < \bar{X} < 70)[/tex]
help pls
how many solutions does the system of equations below have?
10x - 8y = -1
3x + 5y = -17
no solution
one solution
or infinitely many solutions?