According to Fenwick English (2006), when there is poor alignment between curricula and assessments in a school, the factor most likely to predict student test results is the alignment between what is taught (curriculum) and what is assessed (assessments).
In other words, when the content and skills covered in the curriculum are not adequately reflected in the assessments, it can lead to a mismatch between what students are taught and what they are tested on.
This misalignment can negatively impact student performance on tests as they may not have been adequately prepared or assessed on the required knowledge and skills.
Therefore, ensuring a strong alignment between the curriculum and assessments is crucial to accurately assess student learning and predict test results.
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Joshua has 60 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
Answer:
7 Nickels and 1 Quarter
Step-by-step explanation:
1 quarter= 25 cents
1 Nickel= 5 cents
60-25=35
35/5= 7
you have 7 nickels
Answer:
7
Step-by-step explanation:
find the perimeter of a quadrilateral with vertices at c (−2, 1), d (2, 4), e (5, 0), and f (1, −3).
A quadrilateral is a polygon with four sides. It is a two-dimensional shape formed by connecting four non-collinear points. The perimeter of the quadrilateral is 20 units.
The angles of a quadrilateral can vary, and it can have sides of different lengths. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
Quadrilaterals have certain properties and characteristics. Some common properties include:
Interior angles: The sum of the interior angles of a quadrilateral is always equal to 360 degrees.
Diagonals: A quadrilateral has two diagonals, which are line segments connecting opposite vertices. The diagonals of some quadrilaterals are perpendicular, while in others they intersect at a point inside the shape.
To find the perimeter of a quadrilateral with vertices at c (-2, 1), d (2, 4), e (5, 0), and f (1, -3), you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)² )
So, let's calculate the distances between the vertices:
Distance between c and d:
d_cd = √((2 - (-2))² + (4 - 1)² )
Distance between d and e:
d_de = √((5 - 2)² + (0 - 4)² )
Distance between e and f:
d_ef = √((1 - 5)² + (-3 - 0)² )
Distance between f and c:
d_cf = √((-2 - 1)² + (1 - (-3))² )
Now, we sum the lengths of all four sides to find the perimeter:
Perimeter = CD + DE + EF + FC = 5 + 5 + 5 + 5 = 20
Therefore, the perimeter of the quadrilateral is 20 units.
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Suppose A Monument in Texas casts a shadow of 285 feet. At the same time, a nearby tourist, who is 5 feet tall casts a 2.5 foot shadow. How tall is the Monument?
The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.
To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)
Let x be the height of the Monument. Then we have:
x / 285 = 5 / 2.5
Cross-multiplying, we get:
2.5x = 5 * 285
Simplifying, we get:
x = 570
Therefore, the Monument is 570 feet tall.
To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.
Set up a proportion using the height and shadow length of the tourist and the monument:
(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)
Let x represent the height of the monument. Then:
x / 285 = 5 / 2.5
Now, solve for x:
x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet
The height of the monument is 570 feet.
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Suppose that x and y vary inversely, and x=12 when y=5. Write the function that models the inverse variation.
The statement is expressed as:
\(y \alpha 1/x\)
To convert to an equation introduce k, the constant of variation.
\(y=k * 1/x\\\)
To find k use the condition that \(x = 12\) when \(y = 5\)
\(y=k/x\)
\(5=k/12\)
\(k=5*12\)
\(k=60\\\)
Therefore, \(y =60/x\) is the function.
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Anyone else done with this online school stuff?
Answer:
yeah, I'm failing english ️
Which triangles are similar?
20°
100°
100°
60°
А
B
20°
60°
с
O A. Triangles A and B are similar to each other.
B. Triangles A, B, and C are similar to each other.
C. Triangles A and C are similar to each other.
D. Triangles B and C are similar to each other.
Answer:
B because when at B angels are the same qnd A and c are also same
Which rational number equals 0.1?
1/11
1/10
1/9
1/8
HELPPPPPP PLZZZZZ
which of the following best describes a frequency table? multiple choice question. a grouping of data into classes that shows the fraction of observations in each class a table showing the cycles per second of musical tones a bar chart showing the number of observations a grouping of qualitative data into classes showing the number of observations in each class
Among the given options, the description that best fits a frequency table is "a grouping of qualitative data into classes showing the number of observations in each class."
The best description of a frequency table is: "A grouping of qualitative data into classes showing the number of observations in each class."
A frequency table is a statistical tool used to organize and summarize qualitative data by grouping it into classes or categories and displaying the number of observations or frequency in each class.
It provides a clear and concise representation of how the data is distributed across different categories.
In a frequency table, the qualitative data is organized into classes or categories, which are mutually exclusive and exhaustive.
Each class represents a range or a distinct category, and the frequency column displays the count or number of observations that fall within each class.
The frequencies can be absolute frequencies (counts) or relative frequencies (proportions or percentages).
The purpose of a frequency table is to provide a visual summary of the data distribution, allowing for easy identification of patterns, gaps, or outliers.
It helps to understand the frequency or occurrence of different values or categories in the dataset.
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A study of iron deficiency among infants compared samples of infants following different feeding regimens. One group contained breastfed infants, while the infants in another group were fed by a standard baby formula without any iron supplements. The summary results on blood hemoglobin levels at 12 months of age are provided below. Furthermore, assume that both samples are sampled from populations that are reasonably normally distributed. (M.F. Picciano and R.H. Deering?The influence of feeding regimens on iron status during infancy,? American Journal of Clinical Nutrition, 33 (1980), pp. 746-753)
Group n x s
Breast-fed 23 13.3 1.7
Fourmula 19 12.4 1.8
(a) Test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants at α = 0.05. Assume the population variances are unknown but equal.
(b) Construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants. Assume the population variances are unknown but equal.
(c) Write at least one complete sentence describing how your answers to parts (a) and (b) yield the same conclusion about whether there is a difference in the mean blood hemoglobin levels. Hint: Be sure to use the number 0 when discussing the conclusions.
A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.
B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).
C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.
What is null hypothesis?
In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.
(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.
The test statistic can be calculated as:
t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))
where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:
Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))
where s1 and s2 are the sample standard deviations.
Plugging in the values from the table, we get:
t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21
Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.
(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:
(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)
where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.
Plugging in the values from the table, we get:
(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)
= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)
= 0.56 ± 0.62
Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).
(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.
Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.
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Markus scored 85, 92, 82, and 94 on the first four tests of the semester. His teacher has not yet told him his score on
his fifth test, but did tell him that his score on the fifth test is five points lower than the average (arithmetic mean) of all
five tests. Which equation could Markus use to determine the score of the fifth test, x?
4(x + 5) = 353 + x
O 5(x + 5) = 353 + x
O 4(x-5) = 353 + x
O 5(x - 5) = 353 + x
Answer:
b
Step-by-step explanation:
just got it right
Markus scored 82 on his fifth test.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
We know that Markus' score on the fifth test is 5 points lower than the average of all five tests. Let x be the score Markus got on his fifth test. Then the average score of all five tests is:
(85 + 92 + 82 + 94 + x)/5
So the equation to determine Markus' score on the fifth test is:
x = (85 + 92 + 82 + 94 + x)/5 - 5
Simplifying this equation, we can first add the numbers in the numerator:
x = (353 + x)/5 - 5
Next, we can multiply both sides by 5 to eliminate the denominator:
5x = 353 + x - 25
Simplifying further, we can combine like terms:
4x = 328
Finally, we can solve for x by dividing both sides by 4:
x = 82
Therefore, the correct equation for Markus to determine his score on the fifth test is:
4(x - 5) = 353 + x.
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Graph a sine function whose amplitude is 4, period is , midline is y = -3, and y-intercept is (0, - 3). The graph is not a reflection of the parent function over the x-axis. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point
The equation of this sine curve is y = 4sin(2x) - 3.
What is a function of a graph?
A graph is a visual representation of a mathematical function. A function is a mathematical rule that assigns a unique output value (or dependent variable) to each input value (or independent variable) in its domain. In other words, a function defines a relationship between two variables, where for every value of the independent variable, there is exactly one corresponding value of the dependent variable.
The midline is y = -3 and the y-intercept is (0,-3). This is point A in the diagram below.
The period is pi units, which means that going from midline to peak (or valley) is 1/4 of this distance. So it's pi*(1/4) = pi/4 = 0.79 units approximately from x = 0 to x = 0.79; which is the x coordinate of point B. Point B is one of the infinitely many maximum points. Notice that the vertical distance from A to B is 4 units, which is the amplitude.
Hence, the equation of this sine curve is y = 4sin(2x) - 3.
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140000000 in the standard form
Answer:
1.4 x 10 to the power of 8
Step-by-step explanation:
Segment AB intersects the circle with center C . What statement correctly describes the relationship shown in the image?
Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.
Step-by-step explanation:
Answer:
perpendicular and tangent
Step-by-step explanation:
Simplified. 2c+2d+5d
Answer:
2c +7d
Step-by-step explanation:
2c+2d+5d
Combine like terms
2c + d(2+5)
2c +7d
Answer:
The simplified answer of this expression is 2c + 7d
Step-by-step explanation:
For this problem, you will have to combine like terms.
2c + 2d + 5d
Combine 2d and 5d.
2c + 7d
E probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of _____________.
The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
What is null hypothesis?A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.The alternate hypothesis asserts the existence of a distinction.Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.If the null hypothesis can be rejected, it lends support to the alternative hypothesis.The notion of falsity in science is founded on null hypothesis testing.To know more about null hypothesis, here
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Please help!!
Gargantua bought 2 rakes (one to use as a backscratcher and the other to use as a comb) and 2 shovels
(both to use as spoons). If the rakes cost $15 each, and the bill for all the items (rakes and shovels
combined) was $52, how much did each shovel cost?
Select the correct answer. solve the problem У = (x + 1), y(0) = 1 numerically for y(02) using step size h 0.1. 1.1 1.11 1.2 1.21 1.221
We must determine the value of y at x = 0.2 in order to numerically solve the equation y = (x + 1) with the initial condition y(0) = 1 and a step size of h = 0.1. The right response is 1.2.
We can utilise the Euler's method or any other numerical integration method to solve the issue numerically. By making small steps of size h and updating the value of y in accordance with the derivative of the function, Euler's approach approximates the value of y at a given x.
We can iteratively proceed as follows, starting with y(0) = 1, as follows:
At x = 0, y = 1.
Y = y(0) + h * f(x(0), y(0)) = 1 + 0.1 * (0 + 1) = 1.1 when x = 0.1.
Y = y(0.1) + h * f(x(0.1), y(0.1)) = 1.1 + 0.1 * (0.1 + 1) = 1.2 for x = 0.2.
So, 1.2 is the right response. This is the approximate value of y at x = 0.2 that was determined by applying a step size of h = 0.1 when solving the given problem numerically.
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20 points!!
Show that for any real numbers a and b, and any integers x and y so that x≠0, y≠0, x≠y, and x≠-y,
(y/x-x/y)((ax+by)/(x+y)-(ax-by)/(x-y))=2(a-b).
See below for the proof of the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)
How to prove the equation?The equation is given as:
\(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\)
Take the LCM
\(\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)\)
Expand
\(\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)\)
Evaluate the like terms
\(\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)\)
Rewrite as:
\(\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)\)
Factorize the numerator
\(\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)\)
Divide
2(a - b)= 2(a - b)
Both sides are equal
Hence, the equation \(\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)\) has been proved
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A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
SHOW YOUR WORK
IF YOU SHOW WORK YOU GET EXTRA POINTS
MUST SHOW WORK
--------------------------------------------------
goodluck
xoxo
Answer/Step-by-step explanation:
If the Diver started at 85 3/4 below sea level (-85 3/4 from sea level.) And he descends more you have to find the difference between two distances.
In order to get to -103 1/5, how much was subtracted from the original distance of -85 3/4. To solve this use an inverse operation. Find the absolute value of the new distance and add the original distance from sea level.
I -103 1/5 I + -85 3/4 = 103 1/5 - 85 3/4 = 17.45.
The distance from each value is I 17.45 I So, the diver descended another 17.45 meters from sea level.
Jason formed two-digit numbers using the rules.
- the digit in the tens place is an even number
- the two-digit number is divisible by 5
how many numbers did jason form?
A) 5
B) 8
C) 16
D) 18
Answer:
a) 5 is the answer
Please solve 5 ≤ y + 2 ≤ 11
Answer: 3 < y < 9
Please mark me brainliest
12 students play on the schools basketball team 36 students play on the football team.what is the ratio of basketball players to football players
Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
As a director of operations for a fast-food company,
you oversee two of the company's restaurants. One of
the stores reports their revenue for the year as 0.15 of
the company's revenue, and the other restaurant
reports 21% of the company's revenue.
what is the total percentage of the company’s revenue that your two stores report?
3.61%
6%
21.15%
22.5%
36%
Answer:Is this pre algebra word problem I’m confused
Step-by-step explanation:
find the area of the arrow below
Answer:
36
Step-by-step explanation:
Because the box is a 4x5 so that's 20 and then the triangle is a 8x4 so 32 divided by 2 is 16 and finally 16 + 20 is 36
What are the three graphs of linear equation?.
The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.
Transformations of the identity function f(x)=x f (x) = x are the third option.
There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.
Which three kinds of linear equations exist?Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.
What exactly are linear equation graphs?The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).
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Brenda deposits $500 in a savings account
that pays a simple interest rate of 2.5% per
year. How much interest will Brenda earn
after 18 months?
Answer:
Brenda earn $18.75 after 18 months
Step-by-step explanation:
1 year = 12 months
1.5 year = 18 months
2.5% = 0.025
500 times 0.025 = $12.50
$12.50 is the interest she earns in 1 year, but here we have 1 and a half year
So, we take 12.50 divided by 2 = $6.25
$6.25 is the interest she earns in half-year. We add both numbers
12.50 + 6.25 = $18.75
So, Brenda earn $18.75 after 18 months
If you can, please give me a Brainliest; thank you!
Please help me with these questions
Answer:
A. <EKH and <EKF
B. <EKH and <FKG
C. <HKJ and <GKJ
Step-by-step explanation:
A. A linear pair are two adjacent angles that forms a straight line that equals 180°.
<EKH and <EKF is a linear pair
B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.
<EKH and <FKG
C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.
<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.
will someone help? Im like 99% sure Its just the start of the school year so I can't get it wrong I can't tell if its # 1 or # 4
Answer:
i think 5.4 cm
Step-by-step explanation:
. Let x, y, z be the lengths of the sides of a right triangle, where z is the length of the hypothenuse. Assume that x decreases at a rate of √ 3 ft/min, and y increases at a rate of 4 ft/min. At time t = 0, we know that x = 2 ft and y = 2√ 3 ft.
a) Find the rate of change of z at time t = 0. Your answer must be fully simplified.
b) Let θ be the angle between the sides x and z. Find the value of θ at time t = 0.
c) Find the rate of change of θ at time t = 0. Your answer must be fully simplified.
a) At time t=0, x=2 ft, y=2√3 ft, and z=√(x^2+y^2). Differentiating with respect to time t, we get dz/dt = (xdx/dt + ydy/dt)/√(x^2+y^2). Substituting the given values, we get dz/dt = (2√3(-√3) + 2√3*4)/√(2^2+(2√3)^2) = -4 ft/min.
b) We know that sin(θ) = x/z, so θ = sin^(-1)(x/z) = sin^(-1)(2/z) at time t=0.
c) Differentiating θ with respect to time t, we get dθ/dt = 1/(z√(1-(x/z)^2))(-xdx/dt+zdz/dt). Substituting the given values, we get dθ/dt = 1/(z√(1-(2/z)^2))(-2√3(-√3)+z*(-4)) = 2/√7 rad/min at time t=0.
The rate of change of z at time t=0 is -4 ft/min, the value of θ at time t=0 is sin^(-1)(2/z), and the rate of change of θ at time t=0 is 2/√7 rad/min.
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