The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The area of the shaded region is 0.6826 square units.
A normal distribution with a mean of µ and a standard deviation of σ is referred to as a normal distribution. The given problem depicts a standard normal distribution of bone density scores with a mean of 0 and a standard deviation of 1. The area of the shaded region has to be found. We need to remember that the area under the curve of a normal distribution curve is 1. To calculate the area of the shaded region, we have to use the standard normal distribution table or calculator. We should use the given z-values for the two endpoints to obtain the required area. Let us first calculate the z-scores.
Z-score = (x - mean) / standard deviation.
Z-score for -1 = (-1 - 0) / 1 = -1.
Z-score for 1 = (1 - 0) / 1 = 1
Therefore, we need to find the area between -1 and 1. The total area under the curve of the normal distribution is 1. The area to the left of -1 is 0.1587, and the area to the right of 1 is 0.1587. Therefore, the area between -1 and 1 is:
Area = 1 - (0.1587 + 0.1587) = 0.6826
Therefore, the area of the shaded region is 0.6826 square units.
Learn more about normal distribution visit:
brainly.com/question/30390016
#SPJ11
The standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is 0.8554 units².
The standard normal distribution has a mean of zero and a standard deviation of one. So, in this graph, the horizontal axis is standardized to show the number of standard deviations from the mean. Now, to find the area of the shaded region, we need to use the z-table. The z-table gives us the area under the standard normal distribution curve to the left of a given z-score. Since the shaded region is to the right of the mean, we need to use the right-tail area of the z-table. Using the z-table, the area to the right of 1.06 is 0.1446. Therefore, the area of the shaded region is:
1 - 0.1446 = 0.8554.
The area of the shaded region is 0.8554 units².
Learn more about normal distribution visit:
brainly.com/question/30390016
#SPJ11
2/3 + 1/4 + 1/2 = x/12 , so what is x?
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=17
Step-by-step explanation:
I have a 97 in reading, But I just took an exam, And I got a 75. What's my final grade?
Answer:
Step-by-step explanation:
It depends on how many points the new test was worth but for now, I'll assume it's worth 10% of your grade.
97*9=873 75*1=75
873+75=948
948/10=94.8 which rounds up to 95
This means your grade will be 95% which is an A.
Good job!
Please give me brainliest
A scuba diver is 5 1/2 feet below the surface of the water. She then dives 2 2/5 feet deeper. How far below the surface of the water is the scuba diver?
A. 7 9/10
B.-7 3/7
C. -7 9/20
D. -7 9/10
In ΔQRS, s = 860 inches, q = 240 inches and ∠R=144°. Find the length of r, to the nearest inch.
Answer:
1064
Step-by-step explanation:
Answer: 1064
Step-by-step explanation:
Move a number to each box to create an equation to solve 8/100+9/10 =
The solution of the given fraction can be gotten through filling the boxes with the following values respectively;
8/100 + 9/10 = 98/100
What is a fraction?A fraction is defined as the representation of a part of a whole value in the form of a numerator and denominator.
The given fraction;
8/100 + 9/10 = ?
Find the lowest common multiple of the denominator = 100.
= 8/100 + 9/10
= 8 + 90/100
= 98/100
Learn more about fraction here:
https://brainly.com/question/28699958
#SPJ1
Help Me I will give you a BRAINIEST
Answer:
its 10.08
Step-by-step explanation:
how many license plates can be made using either 3 digits followed by 3 letters, or 3 letters followed by 3 digits?
Answer:
infinite
Step-by-step explanation:
the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite
-hope this helps-
A randomly selected customer is asked if they like hot or iced coffee. Let H be the event that the customer likes hot coffee and let I be the event that the customer likes iced coffee. What is the probability that the customer likes neither hot nor iced coffee
Therefore, The probability that the customer likes neither hot nor iced coffee is 0. This can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1.
The probability that the customer likes neither hot nor iced coffee can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1. Let A be the event that the customer likes neither hot nor iced coffee. Then, P(A) = 1 - P(H) - P(I). If P(H) = 0.6 and P(I) = 0.4, then P(A) = 1 - 0.6 - 0.4 = 0. Therefore, the probability that the customer likes neither hot nor iced coffee is 0.
To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. Here, the customer can either like hot coffee, iced coffee, or neither. Since the customer can only like one of the two options, we can use the complement rule to find the probability of the customer not liking either. We subtract the sum of probabilities of the customer liking hot and iced coffee from 1.
Therefore, The probability that the customer likes neither hot nor iced coffee is 0. This can be calculated by subtracting the probability of the customer liking hot coffee or iced coffee from 1.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ11
Direction: Read each statement and decide whether the answer is correct or not. If the statement is correct write true, if the statement is incorrect write false and write the correct statement (5 X 2 Mark= 10 Marks)
1. PESTLE framework categorizes environmental influences into six main types.
2. PESTLE framework analysis the micro-environment of organizations.
3. Economic forces are one of the types included in PESTLE framework.
4. An organization’s strength is part of the types studied in PESTLE framework.
5. PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies.
1. True. The PESTLE framework categorizes environmental influences into six main types: Political, Economic, Sociocultural, Technological, Legal, and Environmental factors.
These factors help analyze the external macro-environmental forces that can impact an organization's strategies and operations. 2. False. The PESTLE framework analyzes the macro-environmental factors and not the micro-environment of organizations. The micro-environment is examined through other frameworks like Porter's Five Forces, which focus on specific industry dynamics and competitive factors.
3. True. Economic forces, such as inflation, interest rates, exchange rates, and economic growth, are one of the types included in the PESTLE framework. Economic factors play a significant role in shaping business decisions and strategies.
4. False. An organization's strengths are not part of the types studied in the PESTLE framework. Strengths, weaknesses, opportunities, and threats (SWOT) analysis is a separate framework used to assess internal strengths and weaknesses of an organization.
5. True. The PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies. By considering the political, economic, sociocultural, technological, legal, and environmental factors, organizations can gain insights into the external forces that may impact their strategies and make informed decisions.
The PESTLE framework categorizes environmental influences into six main types, including political, economic, sociocultural, technological, legal, and environmental factors. It analyzes the macro-environmental forces, not the micro-environment of organizations. Economic forces are one of the types studied in the framework, while an organization's strengths are not included. The framework provides a comprehensive list of influences on the success or failure of strategies, allowing organizations to consider various external factors in their decision-making process.
Learn more about strategies here: brainly.com/question/31930552
#SPJ11
State the angle relationship between
The relationships between the angles x and y are given as follows:
Alternate interior angles. and Alternate exterior angles.
What are the Vertical angles ?Vertical angles are angles that are on the opposite by the same vertex, and in item 1, the vertex is the intersection of the upper parallel line with the transversal, hence angles x and y are vertical angles.
Alternate Interior angles;
These are the angles that are on the inner side of the two parallel lines but on opposite sides relative to the transversal, therefore, on item 2 x and y are alternative interior angles.
The Corresponding angles are angles that are on the same position relative to the transversal line, but relative to different parallel lines, thus on item x and y are corresponding angles.
Alternate Exterior angles;
There are angles that are on the opposite sides of the transversal line, and one above the upper parallel line and the other below the lower parallel line, shows that angles x and y are alternate exterior angles in item 4.
More can be learned about parallel lines and pairs of angles at brainly.com/question/24607467
#SPJ2
assume: arithmetic mean r111,10. mode r105,28. median r107,91. standard deviation r 18,36. quartiles r 98,54 and r122,64.
calculate:
1.1. pearson's coefficient of skewness.
1.2. quartile deviation.
1.3. quartile co-efficient of skewness.
1.4. what is the main advantage of the semi-interquartile range?
1.5. give three reasons why the standard deviation is generally regarded as a better measure of dispersion than the range.
1.6. how can the disadvantages of the range be largely overcome?
1.1. The Pearson's coefficient of skewness is approximately 1.643.
1.2. The quartile deviation is approximately 12.05.
1.3. The quartile coefficient of skewness is approximately 0.251.
1.4. This is because the semi-interquartile range uses only the middle 50% of the data, which is more resistant to extreme values.
1.5. The standard deviation can be used to make comparisons between datasets that have different means and ranges, whereas the range cannot.
1.6. One can also use Box plots instead of range to visualize the distribution of the data, which provides more information about the shape of the distribution than the range alone.
1.1. Pearson's coefficient of skewness is given by:
Skewness = 3 * (Mean - Median) / Standard Deviation
Substituting the values given, we get:
Skewness = 3 * (111 - 107.91) / 18.36
Skewness = 1.643
Therefore, the Pearson's coefficient of skewness is approximately 1.643.
1.2. Quartile deviation is given by:
Quartile deviation = (Q3 - Q1) / 2
Substituting the values given, we get:
Quartile deviation = (122.64 - 98.54) / 2
Quartile deviation = 12.05
Therefore, the quartile deviation is approximately 12.05.
1.3. Quartile coefficient of skewness is given by:
Quartile coefficient of skewness = (Q3 + Q1 - 2 * Median) / (Q3 - Q1)
Substituting the values given, we get:
Quartile coefficient of skewness = (122.64 + 98.54 - 2 * 107.91) / (122.64 - 98.54)
Quartile coefficient of skewness = 0.251
Therefore, the quartile coefficient of skewness is approximately 0.251.
1.4. The main advantage of the semi-interquartile range is that it is less affected by outliers than other measures of dispersion such as range and standard deviation. This is because the semi-interquartile range uses only the middle 50% of the data, which is more resistant to extreme values.
1.5. The standard deviation is generally regarded as a better measure of dispersion than the range for the following reasons:
Unlike the range, the standard deviation takes into account all the data points in the sample, not just the extreme values.
The standard deviation is a more precise measure of dispersion than the range because it considers the variation of each data point from the mean, whereas the range only considers the difference between the highest and lowest values.
The standard deviation can be used to make comparisons between datasets that have different means and ranges, whereas the range cannot.
1.6. The disadvantages of the range can be largely overcome by using other measures of dispersion such as the standard deviation or the semi-interquartile range. These measures are less affected by outliers and provide a more accurate representation of the spread of the data. Additionally, one can also use Box plots instead of range to visualize the distribution of the data, which provides more information about the shape of the distribution than the range alone.
Learn more about deviation from
https://brainly.com/question/475676
#SPJ11
Data where the difference between data values has meaning but there is no defined starting point
Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.
These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.
2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.
4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.
Learn more about data here
https://brainly.com/question/14893265
#SPJ4
PLEASE HELP!!!!! Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:c. 4x + 1.9 = 22.2
e. 22.2 – 4x = 1.9
hope this helps<3
Step-by-step explanation:
Which of the following expressions are equivalent to -3 times - 6/10?
⇒ the answer is option B.
⇒When we multiply it does not matter the position of the terms, what matters most is the sign of the terms.
2x-5x-9 = -3x+2-9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. X=
O B. The solution is all real numbers.
O C. There is no solution.
By simplifiying the linear equation we will see that it is false, then the correct option is C, there are no solutions.
How to solve the linear equation?Here we have the following linear equation:
2x - 5x - 9 = -3x + 2 - 9
We want to solve this linear equation for the variable x, to do so, we need to isolate the variable x in one of the sides of the equation, so let's do that.
First we move all te terms with x to the left side and the terms without x to the right side, so we get:
2x - 5x + 3x = 2 - 9 + 9
(2 - 5 + 3)*x = 2
0*x = 2
0 = 2
So we have a false equation, this means that there is no value of x such that the equation is true, then the equation has no solutions, and the correct option is C.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
ANSWER RIGHT AWAY PLZ 30 POINTS
Answer:
105
Step-by-step explanation:
Answer: 105
Step-by-step explanation: 105 times 4 divided by 5 equals 84
a line ray or segment that divides a segment into two congruent parts at a 90° angle
A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.
What are supplementary angles example?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.
What do you mean by angle bisector?
If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.
The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.
Thus, the black space is to be filled by the angle bisector.
More about the angle bisector line is given below.
brainly.com/question/3642603
#SPJ4
i need this answered FAST!!! please make sure to show the work!!!!!!
Answer:
thanks thanks thanks thanks thanks thanks for your points
3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?
Answer:
7 inches
Step-by-step explanation:
Volume 1 - 300 pages 2 inches
back cover 1/4 inch
Volume 2 - front cover 1/4 inch
300 pages 2 inches
back cover 1/4 inch
Volume 3 - front cover 1/4 inch
300 pages 2 inches
which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?
a) parallelogram
b) rectangle
c) rhombus
d) square
Answer:its a rectangle
Step-by-step explanation:
did the percentage of the aging population (55 years or older) in state prisons passed the percentage of people aged 18-24 for the first time in 2016. true or false
True. In 2016, the percentage of the ageing population (55 years or older) in state prisons surpassed the percentage of people aged 18-24 for the first time.
This trend reflects the overall growth of the ageing population within the United States and is a result of various factors such as longer life expectancy, harsher sentencing laws, and an increase in older individuals being convicted of crimes.
As the ageing population in state prisons continues to grow, it poses several challenges for the correctional system. These challenges include providing appropriate healthcare and accommodations for older inmates and addressing the specific needs of this population, such as mobility assistance and specialized medical care.
In conclusion, the shift in the age demographics of state prisons has significant implications for the management and administration of correctional facilities. It is crucial to address the unique needs of the ageing population within these institutions and adapt policies and practices accordingly to ensure the well-being and fair treatment of all inmates, regardless of their age.
To learn more about percentage, refer:-
https://brainly.com/question/14801224
#SPJ11
How many solutions does the following system of equations have?
2y=2x+4
y=3x + 2
A. One
B. Two
C. Infinitely many
D. Zero
If x is 5 units to the right of zero, is -x 5 untis to the left of 0?
Yes, that's correct. If x is 5 units to the right of zero on a number line, then -x would be 5 units to the left of zero.
what is number line of x axis ?
The number line of the x-axis is a visual representation of the real number system, where each point on the line corresponds to a real number. The x-axis is a horizontal line that is divided into equal segments, with zero (0) placed at the center.
To the right of zero are the positive numbers, and to the left of zero are the negative numbers. The distance between zero and any point on the line represents the absolute value of the corresponding number.
According to the question:
Yes, that's correct. If x is 5 units to the right of zero on a number line, then -x would be 5 units to the left of zero. This is because the negative sign in front of x indicates that we are going in the opposite direction from the positive direction. So if x is to the right of zero, then -x would be to the left of zero.
To know more about number line visit:
https://brainly.com/question/2691192
#SPJ1
Aiden models a can of ground coffee as a right cylinder. He measures its radius as
in and its volume as 12 cubic inches. Find the height of the can in inches. Round your
answer to the nearest tenth if necessary.
To find the height of the can, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We know that the radius is in inches and the volume is 12 cubic inches, so we can substitute these values into the formula and solve for h.
First, we need to find the value of the radius, which is given as "in". It is likely that the radius was measured in inches, so we will assume that "in" means inches. Therefore, the radius is r = in = 1 inch.
Now we can substitute the values into the formula and solve for h:
12 = π(1^2)h
h = 12/(π)
h ≈ 3.8 inches (rounded to the nearest tenth)
Therefore, the height of the can of ground coffee is approximately 3.8 inches.
To learn more about volume of a cylinder, click here:
brainly.com/question/15891031
#SPJ11
Mary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investment after 2 years
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
Determine if (3, -1) is a solution to the system.
x - 2y= 5
2x- y= 7
a- no, not a solution
b- yes, its a solution
A bakery is selling breakfast platters. A platter of 12 bagels costs $10.20. Additionally, it costs $4.65 for a gallon of coffee.
What is the slope of this situation?
© 10.20
© 4.65
© 0.85
O 0.12
The slope of this situation is equal to: C. 0.85.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = 10.20/12
Slope (m) = 0.85.
Read more on slope here: brainly.com/question/3493733
#SPJ1
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
For more questions on average score
https://brainly.com/question/13832161
#SPJ8
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
0 , x<0
f(x) = ((x^2)/4) , 0 <= x <= 2
1 , 2<= x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) P(X %u2264 1)
(b) P(0.5 %u2264 X %u2264 1)
(c) P(X > 1.5)
(d) The median checkout duration [solve 0.5 = F(mew)]
(e) Use F'(x) to obtain the density function f(x)
(f) Calculate E(X)
(g) Calculate V(X) and %u03C3x
(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge
E[h(X)].
By using the concept of probability, it can be calculated that
a) P(X \(\leq\) 1) = 0.25
b) P(0.5 \(\leq\) X \(\leq\) 1) = 0.1875
c) P(X > 1.5) = 0.4375
d) Median = 1.414
e) F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2
0, otherwise
f) E(X) = 1.33
g) V(X) = 0.2311, SD(X) = 0.4807
h) E(h(X)) = 2
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
The cdf is
f(x) = \(\left \{ {\frac{x^2}{4}},{ 0 \leq x \leq 2} \atop {1, x=2}} \right.\)
Now,
a) P(X \(\leq\) 1) = \(\frac{1^2}{4} = 0.25\)
b) P(0.5 \(\leq\) X \(\leq\) 1)
= \(\frac{1^2}{4} - \frac{0.5^2}{4}\\\\\frac{3}{16}\\\\0.1875\)
c) P(X > 1.5) = 1 - P(X \(\leq\) 1.5)
\(1 - \frac{1.5^2}{4}\)
0.4375
d) Let \(\mu\) be the median
P(x \(\leq \mu\)) = 0.5
\(\frac{\mu^2}{4} = 0.5\)
\(\mu^2 = 0.5 \times 4 =2\\\mu = \sqrt{2}\\\mu = 1.414\)
e) F'(x) =
\(\frac{2x}{4}, 0 \leq x \leq 2\\0, otherwise\)
F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2
0, otherwise
f) E(x) =
\(\int_0^2 x \times 0.5 xdx\\=0.5 \times \frac{x^3}{3} |_0^2 \\=0.5 \times \frac{2^3}{3}\\=\frac{4}{3}\\=1.33\)
g) V(X) = E(\(X^2\)) -\((E(X))^2\)
E(X^2) =
\(\int_0^2x^2(0.5x)dx \\0.5 \times \frac{x^4}{4}|_0^2\\2\)
\(V(X) = 2 - (1.33)^2\)
V(X) = 0.2311
SD(X) = \(\sqrt{0.2311} = 0.4807\)
h) h(X) = \(X^2\)
E(h(X)) = \(\int_0^2X^2({0.5X)dx\)
= \(0.5 \frac{x^4}{4}|_0^2\)
= \(0.5 \times \frac{2^4}{4}\)
= 2
To learn more about probability, refer to the link-
https://brainly.com/question/25870256
#SPJ4