I I will mark brianilestt
Write the congruence criterion
Answer:
a) AAS
b) ASA
c) SAS
d) SSS
Kevin bought a new plan the plan girls 2.8 cm in the first week and 1.97 CM the second week. select all of the statements that are true about the plant
Statements that are true about plant (height) is a) The plant has grown a total of 4.77 cm in two weeks.
Statement a is true because the plant grew 2.8 cm in the first week and 1.97 cm in the second week, for a total of 4.77 cm in two weeks.
Statement b is false because the plant grew at a slower rate in the second week than the first week.
Statements c, d, and e cannot be determined from the given information as they are unrelated to the growth rate of the plant.
a) The plant has grown a total of 4.77 cm in two weeks (True)
b) The plant grew at a faster rate in the first week than the second week (False)
c) The plant will be 100 cm tall after 50 weeks (Cannot be determined from the given information)
d) The plant will require at least 5 cm of water per week to continue growing (Cannot be determined from the given information)
e) The plant will die if it doesn't receive enough sunlight each day (Cannot be determined from the given information)
Correct Question :
Kevin bought a new plant. The plant grows 2. 8 cm in the first week and 1. 97 CM the second week. Select all of the statements that are true about the plant.
a) The plant has grown a total of 4.77 cm in two weeks
b) The plant grew at a faster rate in the first week than the second week
c) The plant will be 100 cm tall after 50 weeks
d) The plant will require at least 5 cm of water per week to continue growing
e) The plant will die if it doesn't receive enough sunlight each day
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This proportion can be solved to find the unknown length, x , in the larger triangle. 14/6=21/x Use the drop-down menus to complete the solution below.
The value of 'x' in the given proportion [tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex] is x=9 ft . The values in the dropdown menu are:
14 x 1.5 = 21
6 x 1.5 = 9
What is proportion?
Ratio and fractions are the basis of proportion. When two ratios are equivalent, it is stated by a fraction in the form of a/b, ratio a:b, and then a proportion. Any two integers may be used here as a and b. An analysis of two numbers is a proportion. Two sets of provided numbers are said to be directly proportional to one another if they change in two different ways, either rising or decreasing.
Given the dimensions of smaller triangle:
6 ft
14 ft
16 ft
Given the dimensions of smaller triangle:
x ft
21 ft
24 ft
Given Proportion or ratio of sides,
[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]
14 . x = 21 . 6
x = [tex]\frac{21 . 6}{14}[/tex]
x = [tex]\frac{126}{14}[/tex]
x = 9
The missing dimensions of triangle = 9 ft
Now for the answers in dropdown menu, let's evaluate the ratios of corresponding sides:
[tex]\frac{9}{6}[/tex] = [tex]\frac{21}{14}[/tex] = [tex]\frac{24}{16}[/tex] = 1.5
a)14 x 1.5 = 21
b)6 x 1.5 = 9
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Refer to the attachment for the options.
Account X pays 2. 1% simple annual interest. Account Y pays 2. 4% interest compounded annually
After 5 years, Account Y earns more interest than Account X, even though the annual interest rate is slightly higher for Account X.
To compare the interest earned on Account X and Account Y, we can use the following formulas
For Account X
Simple interest = P × r × t
Where P is the principal, r is the annual interest rate, and t is the time in years.
For Account Y
Compound interest = P × [tex](1 + r/n)^{nt}[/tex] - P
Where P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
Using the given information, let's say we invest $10,000 in both accounts for 5 years.
For Account X
Simple interest = 10,000 × 0.021 × 5 = $1,050
For Account Y
Compound interest = 10,000 × (1 + 0.024/1)⁵ - 10,000 = $1,268.24
So, after 5 years, Account Y earns more interest than Account X, even though the annual interest rate is slightly higher for Account X. This is because Account Y compounds the interest annually, which means the interest earned in each year is added to the principal, resulting in a higher total amount of interest earned over time.
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A watercolor painting is 22 inches long by 9 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
The area of the mat is ____ square inches.
The value of area of mat is,
A = 222 in²
Since, We get;
the area of the mat = total area added - the original area of the water color painting.
Here, We have;
length of the mat is,
L = 22 in + 3 in + 3 in because 1 in is added to each side
L = 28 in
And, width of the mat is:
w = 9 in + 3 in + 3in
w = 15 in
Area of mat is,
= (28 in x 15 in) - ( 22 in x 9 in)
= 420 - 198
= 222 in²
Thus, The value of area of mat is,
A = 222 in²
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19.14. interpreting p-values for population mean. for each of the following statements, indicate if they are a true or false interpretation of the p-value. if false, provide a reason or correction to the misinterpretation. you are wondering if the average amount of cereal in a 10oz cereal box is greater than 10oz. you collect 50 boxes of cereal, weigh them carefully, find a t score, and a p-value of 0.23. a. the probability that the average weight of all cereal boxes is 10 oz is 0.23. b. the probability that the average weight of all cereal boxes is greater than 10 oz is 0.23. c. because the p-value is 0.23, the average weight of all cereal boxes is 10 oz. d. because the p-value is small, the population average must be just barely above 10 oz (small effect). e. if h0 is true, the probability of observing another sample with an average as or more extreme as the data is 0.23.
True interpretation of the p-value is option E: if H0 is true, the probability of observing another sample with an average as or more extreme as the data is 0.23.
a. False. The p-value, under the assumption that the null hypothesis is correct, is the likelihood of finding a sample mean that is equally extreme or more extreme than the observed sample mean. The likelihood that the null hypothesis is true or false is not represented by it.
b. False. The population mean being greater than 10 oz is not immediately shown by the p-value of 0.23. Only the amount of evidence that refutes the assumption that the population mean is equal to 10 oz is indicated.
c. False. The p-value is a measure of the strength of evidence against the null hypothesis rather than the population mean.
d. False. Having a low p-value does not necessarily suggest that the population average is just barely above 10 oz; rather, it implies that there is substantial evidence that the null hypothesis is false. A measure of the effect's size, such as Cohen's d or confidence intervals, should be used to assess the magnitude of the effect.
e. True. The p-value is correctly interpreted in this way. In the event that the null hypothesis is correct, the p-value represents the likelihood that another sample will have averages that are equally or even more extreme than the data.
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Use technology to find the solution to the system:
The solution to the equation is x= -10 and y= 5.
We have Equations,
2x + 6y = 10............(1)
3x - 2y = -40............(2)
Now, solving equation (1) and (2) we get
2x + 6y = 10
9x - 6y = -120
+ + +
__________
11x = -110
x = -10
and, 3(-10) - 2y= -40
-30 - 2y= -40
-2y = -10
y=5
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Marco and two of his friends are going to share of a pizza. How much will each person get?
A. 1/6 of the pizza
B. 2/3 of the pizza
C. 1/12 of the pizza
D. 1/9* of the pizza
Each person get 1/9 of the pizza.
We have to given that;
Marco and two of his friends are going to share of a pizza.
Here, There are 3 persons.
If Marco and two of his friends are going to share 1 pizza, they will be splitting the pizza into 3 equal parts since there are 3 people. Therefore, each person will get 1/3 of the pizza.
To find out how much each person gets out of the 1/3, we need to divide 1/3 by 3 (the total number of people).
1/3 ÷ 3 = 1/9
Therefore, each person will get 1/9 of the pizza.
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Shade the solution region.
y≥ 2x-4
Y
Answer:
Step-by-step explanation:
a jet airplane reaches on a certain flight. what distance does it cover in ? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
The jet airplane covers a distance of approximately 148.62 km in 14.0 minutes, given that it reached a speed of 637 km/h during the flight.
To find the distance covered by the jet airplane in 14.0 minutes, we need to use the formula:
distance = speed x time
First, we need to convert the speed from kilometers per hour to meters per minute, since time is given in minutes:
637 km/h = 637,000 m/h
1 hour = 60 minutes, so:
637,000 m/h ÷ 60 min/h = 10,616.67 m/min
Therefore, the speed of the airplane in meters per minute is approximately 10,616.67 m/min.
Now we can use the formula:
distance = speed x time
where time is given as 14.0 minutes:
distance = 10,616.67 m/min x 14.0 min
distance = 148,616.67 meters
To convert the distance to kilometers, we can divide by 1000:
distance = 148,616.67 m ÷ 1000 = 148.62 km
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Complete question is:
A jet airplane reaches 637. km/h on a certain flight. What distance does it cover in 14.0 min?
suppose is a function that has this property: for all real numbers and such that , the portion of the graph of between and lies below the line segment whose endpoints are and . (a function with this property is called strictly convex.) given that passes through and , what is the range of all possible values for ? express your answer in interval notation.
The range of all possible values for f(1) for a strictly convex function passing through (-2,5) and (2,9) is (5,8).
Since f(x) is strictly convex, we can use the property that any point on the graph of f(x) lies below the line segment connecting the endpoints of any subinterval. In particular, for any x-value between -2 and 2, the y-value of f(x) must be below the line segment connecting (-2,5) and (2,9).
Let's first find the equation of the line segment connecting (-2,5) and (2,9). We can use the point-slope form of a line
slope = (9 - 5) / (2 - (-2)) = 4/4 = 1
y - 5 = 1(x - (-2))
y - 5 = x + 2
y = x + 7
Now we know that for any x-value between -2 and 2, the y-value of f(x) must be below the line y = x + 7. We can use this to bound the possible range of values for f(1)
-2 < 1 < 2, so f(1) must be below the line connecting (-2,5) and (2,9) when x=1.
Plugging x=1 into the equation y = x + 7, we get y = 1 + 7 = 8. Therefore, f(1) must be less than 8.
We can also use the property of strict convexity to find the maximum possible value of f(1). Since f(x) is strictly convex, the line segment connecting (-2,5) and (2,9) must lie above the graph of f(x) for any x-value outside the interval [-2,2]. This means that the graph of f(x) must be below the line connecting (-2,5) and (2,9) for x < 1 and x > 1. In particular, this means that the slope of the tangent line to the graph of f(x) at x = 1 must be less than 1, since the tangent line must lie below the line y = x + 7.
Let's find the equation of the tangent line to the graph of f(x) at x = 1. We can use the point-slope form of a line and the fact that the slope of the tangent line is equal to the derivative of f(x) at x = 1
slope = f'(1)
(f(1) - 5)/(1 - (-2)) = f'(1)
(f(1) - 5)/3 = f'(1)
Now we need to find the maximum possible value of f(1) subject to the condition that f'(1) < 1. We can use the fact that f(x) passes through (-2,5) and (2,9) to find the equation of the secant line connecting these two points
slope = (9 - 5)/(2 - (-2)) = 4/4 = 1
y - 5 = 1(x - (-2))
y = x + 7
Since the slope of the secant line is 1, the slope of any tangent line to the graph of f(x) must be less than 1. This means that the maximum possible value of f'(1) is 1. Therefore,
(f(1) - 5)/3 < 1
f(1) - 5 < 3
f(1) < 8
Combining this with the earlier bound, we get
5 < f(1) < 8
Therefore, the range of all possible values for f(1) is (5,8).
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The given question is incomplete, the complete question is:
suppose f(x) is a function that has this property: for all real numbers a and b such that a<b , the portion of the graph of y = f(x) between x= a and x = b lies below the line segment whose endpoints are (a,f(a)) and (b,f(b)) . (a function with this property is called strictly convex.) given that f(x) passes through (-2,5) and (2,9) , what is the range of all possible values for f(1) ?
Can someone help me on this please ?
The sum and the differences of the fractions are 25/28 and 1/6
Evaluating the sum and the differences of the fractionsFor the first fraction expression, we have
3/4 + 1/7
Express them using a common denominator
So, we have
3/4 = 21/28
1/7 = 4/28
So, we have
3/4 + 1/7 = 21/28 + 4/28
Evaluate the sum
3/4 + 1/7 = 25/28
Next, we have
5/6 - 2/3
Express them using a common denominator
So, we have
5/6 = 5/6
2/3 = 4/6
So, we have
5/6 - 2/3 = 5/6 - 4/6
Evaluate the difference
3/4 + 1/7 = 1/6
Hence, the solutions are 25/28 and 1/6
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find the mean of these numbers 4,2,7,4,3
Answer:
4
Step-by-step explanation:
(4+2+7+4+3)/5 = 20/5 = 4
The mean is also known as the average. To find the mean/average, we add up all of the given numbers and then divide by the number of numbers we added up.
In this case, our numbers are 4, 2, 7, 4, and 3, and there are 5 numbers total.
Mean = (4 + 2 + 7 + 4 + 3) / 5
Mean = 20 / 5
Mean = 4
Answer: Mean = 4
Hope this helps!
Find the volume of this composite object!
(use 3 for pi)
The volume of the composite shape is 249 cm³.
What is a composite object?A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons.
To calculate the volume of the composite object, we use the formula below
Formula:
Volume of the composite object = Volume of the cone+ Volume of the prismV = πr²h/3+LWH......................... Equation 1Where:
r = radius of the base of the cone = 3 cmh = Height of the cone = 7 cmL = length of the prism = 12 cmW = Width of the prism = 5 cmH = Height of the prism = 1 cmπ = pie = 3Substitute these values into equation 1
V = (3×3²×7)+(12×5×1)V = 189+60V = 249 cm³.Learn more about composite shapes here: https://brainly.com/question/8370446
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if a cube 4 centimeters on each edge, what is the volume of the cube?
Answer:
Volume of cube =a3=43=64 cm3.
Step-by-step explanation:
Answer is 64 cm3
The equation of the axis is y=6, the focus is at (0,6), and p = -3.
The equation of the parabola as [tex](y-6)^2 = 12(x-0) or (y-6)^2 = 12x.[/tex]
How to solveGiven an axis equation of y=6, focus at (0,6), and p=-3, this is a horizontal parabola with its vertex at (0,6).
Since p<0, it opens to the left.
The standard equation of a horizontal parabola with vertex (h,k) and distance p is [tex](y-k)^2 = -4p(x-h).[/tex]
Plugging in the values (h,k)=(0,6) and p=-3, we get the equation of the parabola as [tex](y-6)^2 = 12(x-0) or (y-6)^2 = 12x.[/tex]
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PLEASE HELP
Describe the behavior of the graph below.
A downward parabolic graph in X-Y coordinate.
A.
The graph is increasing for all values of x.
B.
The graph is decreasing when x > 0.
C.
The graph is increasing when x > 0.
D.
The graph is decreasing when x < 0.
The correct answer is D. The graph is a downward parabola, which means it opens downwards and is decreasing. This occurs for all negative values of x, and is also decreasing for values of x close to zero.
What is Graph?A graph is a visual representation of data or information, typically shown using lines, bars, dots, or other symbols to illustrate relationships, trends, and patterns.
What is parabola?A parabola is a U-shaped curve that is symmetric and can be represented by a quadratic equation. It is a type of conic section and appears in many areas of mathematics and physics.
According to the given information:
The correct answer is D. The graph is a downward parabola, which means that it opens downwards and has a maximum point at the vertex. The vertex is located at x = 0, and since the graph is decreasing on both sides of the vertex, it means that it is decreasing when x < 0. As x approaches negative infinity, the graph becomes more and more steep, and as x approaches positive infinity, the graph becomes flatter and flatter. This behavior is typical of a quadratic function with a negative leading coefficient. In this case, the graph represents a situation where the dependent variable decreases as the independent variable increases up to a certain point, after which it starts increasing again.
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7-4 skills practice solving logarithmic equations and inequalities1. 3x = log6 216 2. x - 4 = log3 243 3. log4 (4x - 20) = 54. log9 (3 - x) = log9(5x – 15) 5. log81 (x + 20) = log81 (6x) 6. log9 (3x2) = log9 (2x + 1)7. log4(x - 1) = log4(12) 8. log7(5 - x) = log7 (5) 9. logx (5x) = 2
Solution to given logarithmic equations and inequalities are;
x = 1
x = 9
x = 261
x = 10/3
x = 4
3x² - 2x - 1 = 0
x = 1 or x = -1/3
x = 13
x = 0
x = 0 or x = 5
How to evaluate each part of the qustion?1. 3x = log6 216
Using the definition of logarithm, we have:
[tex]6^{3x} = 216[/tex]
[tex]6^{3x} = 6^3[/tex]
3x = 3
x = 1
2. x - 4 = log3 243
Using the definition of logarithm, we have:
[tex]3^{x - 4} = 243[/tex]
[tex]3^{x - 4} = 3^5[/tex]
x - 4 = 5
x = 9
3. log4 (4x - 20) = 5
Using the definition of logarithm, we have:
4⁵ = 4x - 20
1024 = 4x - 20
4x = 1044
x = 261
4. log9 (3 - x) = log9(5x – 15)
Using the property of logarithms that states that if log a b = log a c, then b = c, we have:
3 - x = 5x - 15
20 = 6x
x = 10/3
5. log81 (x + 20) = log81 (6x)
Using the property of logarithms that states that if log a b = log a c, then b = c, we have:
x + 20 = 6x
20 = 5x
x = 4
6. log9 (3x²) = log9 (2x + 1)
Using the property of logarithms that states that if log a b = log a c, then b = c, we have:
3x² = 2x + 1
3x² - 2x - 1 = 0
7. Using the quadratic formula, we have:
x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))
x = (2 ± √(16)) / 6
x = (2 ± 4) / 6
x = 1 or x = -1/3
8. log4(x - 1) = log4(12)
Using the property of logarithms that states that if log a b = log a c, then b = c, we have:
x - 1 = 12
x = 13
9. log7(5 - x) = log7 (5)
Using the property of logarithms that states that if log a b = log a c, then b = c, we have:
5 - x = 5
x = 0
10. logx (5x) = 2
Using the definition of logarithm, we have:
x² = 5x
x² - 5x = 0
x(x - 5) = 0
x = 0 or x = 5
Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.
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Find the mean, median, mode and range 28,45,53,28, 47 show work please
Value of mean is, 40.2
Value of median is, 45
Value of mode is, 28
Value of range is, 25
Given that;
Data set is,
⇒ 28, 45, 53, 28, 47
Now, We can arrange into ascending order as;
⇒ 28, 28, 45, 47, 53
Hence, Value of mean is,
⇒ (28 + 28 + 45 + 47 + 53) / 5
⇒ 40.2
And, The value of median is,
⇒ (5 + 1) / 2
⇒ 6/2
⇒ 3rd term
⇒ 45
The value of mode =28
And, The value of range is,
⇒ 53 - 28
⇒ 25
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The modeling process begins with the framing of a _________________ that shows the relationships between the various parts of the problem being modeled mathematical model circular model conceptual model correlation model
Answer:
Step-by-step explanation:
you hav to times it
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.
The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.
Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.
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how to complete the square for an equation for example this equation -10x ² +250x-1500=0.
Answer:
x = 15 and x = 10
Step-by-step explanation:
To complete the square for the quadratic equation -10x² + 250x - 1500 = 0, follow these steps:
1. Divide the entire equation by the coefficient of x² to make the coefficient of x² equal to 1:
-10x² + 250x - 1500 = 0
Dividing by -10, we get:
x² - 25x + 150 = 0
2. Move the constant term (in this case, 150) to the right-hand side of the equation:
x² - 25x = -150
3. Add the square of half of the coefficient of x to both sides of the equation:
x² - 25x + (25/2)² = -150 + (25/2)²
Note that (25/2)² = 625/4.
x² - 25x + 625/4 = -150 + 625/4
4. Simplify the right-hand side of the equation:
x² - 25x + 625/4 = 25/4
5. Factor the left-hand side of the equation as a perfect square trinomial:
(x - 25/2)² = 25/4
6. Take the square root of both sides of the equation:
x - 25/2 = ±5/2
7. Solve for x:
x = (25 ± 5)/2
x = 15 or x = 10
Therefore, the solutions to the equation -10x² + 250x - 1500 = 0 are x = 15 and x = 10.
Explain how finding the surface area of a pyramid is similar to finding the surface area of a cone.
The surface area of a pyramid is similar to finding the surface area of a cone as both compose of Area of base and LSA or CSA.
To derive the Surface Area of Pyramid
Total Surface Area (TSA of Pyramid)
= LSA of pyramid + Area of the base.
= (½)Pl + B Square units
and, to derive the Surface area of Cone
The total surface area is
= CSA of cone + Area of Base
= πrl + πr²
= πr(l +r)
So, both SA have Area of base and LSA or CSA
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true or false let a be a real square matrix. if a is diagonalizable then a is symmetric
False. let a be a real square matrix. if a is diagonalizable then a is symmetric
Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.
While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.
Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.
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1. Find the area under the standard normal curve to the right of z=1.0.
2. Find the sum of the areas under the standard normal curve to the left of z= -1.25 and to the right of z=1.25.
3. Find the probability of z. Use the Standard Normal Table, if necessary.
a. Left of 1.96
b. Right of 1.28
4. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual’s IQ score is found to be 90. Find the z-score corresponding to this value. Round to 2 decimal places.
5. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ score that corresponds to a z-score of -1.45. Round to 2 decimal places, if necessary.
6. For the standard normal curve, find the z-score that corresponds to the 30th percentile. Round to 2 decimal places.
7. For the standard normal curve, find the z-score that corresponds to the 70th percentile. Round to 2 decimal places.
8. Assume that blood pressure readings are normally distributed with =111 and σ=7. A researcher wishes to select people for a study but wants to exclude the top and bottom 10 percent. What would be the upper and lower readings to qualify people to participate in the study? Round to the nearest decimal place.
9. Assume that the salaries of elementary school teachers in the US are normally distributed with a mean of $32,000 and a standard deviation of $4,000. What is the cutoff salary for teachers in the top 10%? Round to the nearest dollar.
10. If the sample size (100) is multiplied by 16, what happens to the mean and standard deviation of the distribution of sample means? (Be specific and show calculations).
When using a standard normal table or calculator, it becomes clear that the area under the standard normal curve to the right of z=1.0 is approximately 0.1587.
Hi we to explain the data givenSimilarly, with the aid of this table or calculator, one can further deduce that the region under the standard normal curve to the left of z=-1.25 is roughly equal to 0.1056, while the section to the right of z=1.25 shares the same probability of 0.1056. Therefore, their combined value equates to 0.2112.
Through utilizing a standard normal table or calculator:
a. The possibility of z being lower than 1.96 is approximately 0.9750.
b. The likelihood of z being greater than 1.28 is about 0.1003. (It's crucial to note that this differs from the area to the right of z=1.28, which includes the region all the way up to z=1.28.)
Suppose one wishes to determine the z-score that corresponds to an IQ score of 90. In that case, we employ the following formula:
z = (x - μ) / σ
Indicating that x is the IQ score, μ denotes the mean (100), and σ is the standard deviation (15). By entering in these variables, one derives:
z = (90 - 100) / 15 = -0.67
Thus, the corresponding z-score to an IQ score of 90 is -0.67.
If finding out what IQ score corresponds to a z-score of -1.45 while considering the previously mentioned formula, one would alter it as follows to solve for x:
x = μ + z * σ
After substitution, this produces:
x = 100 + (-1.45) * 15 = 78.25
Consequently, the IQ score corresponding to a z-score of -1.45 is 78.25.
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Please help me im not sure how to do this problem.
Answer:
Step-by-step explanation:
Interior Angle to a Circle Theorem.
X° = 1/2 (130° + 142°)
x° = 1/2 (272°)
x° = 136°
The number of books borrowed from a library each week follows a normal distribution. When a sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30.
There is a __% chance that more than 250 books were borrowed in a week.
A. 99.7
B. 95
C. 13.5
D. 2.5
Answer: is 2.5
Step-by-step explanation:
I looked it up
What type of triangle is shown in the image?
The type of triangle shown in the image is the Obtuse triangle because one angle measures more than 90 degrees.
A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.
In the given diagram, one of the angles measures more than 90 degrees.
So, the given triangle is an obtuse triangle.
Hence, the type of triangle shown in the image is the Obtuse triangle.
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please help me with this.
Answer: option 3 is correct
Step-by-step explanation: Simplify the expression.−8m^5z^6
In general, which of the following could be an appropriate null hypothesis? selection was . selection was . selection was . selection was . selection was . selection was .
In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.
Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.
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