a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:
235 = a * b ^ 0
395 = a * b ^ 10
Solving for a and b, we get:
a = 235
b = (395/235)^(1/10) = 1.067
Therefore, the exponential model for new cases in Milwaukee is:
y = 235 * 1.067 ^ x
b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:
y = 235 * 1.067 ^ 19 = 1018.5
Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.
c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.
A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. The following is the setup for this hypothesis test: H0:p=0.12 Ha:p≠0.12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:
The p-value from the hypothesis is 0.0583 which is not significant at p<0.05
What is the p-valueTo determine the p-value of the hypothesis, we need to use the formula;
z = (x - a) / √(a(1 - a)/n)
a = hypothesized proportionx = sample proportionn = sample sizex = 93 / 900 = 31/300 = 0.103
a = 12% = 12/100 = 0.12
n = 900
Substituting the values into the formula;
z = (0.103 - 0.12)/√(0.12(1 - 0.12)/900)
z = -0.017 / √0.0001173
z = -1.569
Using a standard normal distribution table;
p-value = 0.058324
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The average height of young adult males has a normal distribution with standard deviation of 2.7 inches. You want to estimate the mean height of students at your college or university to within one inch with 93% confidence. How many male students must you measure?
You must measure 24 male students to estimate the mean height within one inch with 93% confidence.
How to solve for the sample sizeSince we want to estimate the mean height within one inch, the margin of error (E) is 1 inch:
E = Z * (Standard deviation / √Sample size)
Now, we can rearrange the formula to solve for the Sample size (n):
1 = 1.81 * (2.7 / √n)
Solving for n:
n = (1.81 * 2.7 / 1)²
n ≈ (4.887)²
n ≈ 23.88
Since we cannot have a fraction of a person, we round up to the nearest whole number:
n ≈ 24
So, you must measure 24 male students to estimate the mean height within one inch with 93% confidence.
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Madison tossed a paper cup and records wether it lands on its side. In 20 trails the cup lands on its side 19 times. In 90 trials the cup lands on its side 81 times
Answer:90% probability
Step-by-step explanation:
To calculate the experimental probability of the cup landing on its side, we can use the formula:
experimental probability = number of times the cup landed on its side / total number of trials
For the first set of trials, the experimental probability is:
experimental probability = 19/20 = 0.95
For the second set of trials, the experimental probability is:
experimental probability = 81/90 = 0.9
So the experimental probability of the cup landing on its side for the first set of trials is higher than for the second set of trials. However, since the number of trials is relatively small, it is possible that this difference is due to chance and does not reflect a real difference in the probability of the cup landing on its side. To determine this with more confidence, we would need to conduct more trials and perform statistical tests to determine whether the difference is statistically significant.
lmop are the angles LN is the diagonal the sides are missing
All four angles of the rhombus are 20, 160, 20, and 160 degrees.
What is meant by diagonal of an angle ?Diagonals are the parts of a shape, in geometry, a diagonal is a line that join two vertices of a polygon or a solid shape , whose vertices are not on the same edge. In general, a diagonal is called as a sloping line or the slant line, that connects to the vertices of a shape.
According to question a rhombus , all four sides are congruent and opposite angles are equal. Let's call the rhombus ABCD, where AB, BC, CD, and DA are the four sides, and AC and BD are the diagonals.
If one of the angles formed by diagonals and adjacent sides is 20 degrees, let's say that angle is ABD. We can draw a line from point A to point C, which will divide the rhombus into two congruent triangles, ABC and ACD.
Since triangle ABC is isosceles, with sides AB = BC, angles ABC and BCA are equal. Similarly, in triangle ACD, angles ACD and CDA are equal.
∴ angles ABD and CDA are adjacent angles formed by intersecting lines, they must add up to 180 degrees. Therefore, angle CDA is 160 degrees.
If triangles ABC and ACD are congruent, angle CAD is also 20 degrees.
Now we can use the fact that opposite angles in a rhombus are equal. Angles BCD and ABD are opposite angles, so angle BCD is also 20 degrees. Similarly, angles BAC and ADC are opposite angles, so angle BAC is also 160 degrees.
Therefore, all four angles of the rhombus are 20, 160, 20, and 160 degrees.
Complete question If one of the angles formed by diagonals and adjacent sides. of Is 20, all four angles of the a rhombus are.
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A wrestler weighs in on the first day at 162 pounds. To make weight for the first match, the wrestler must lose 1.1 pounds per week. This can be modeled by the equation y=−1.1x+162. Use this model to predict the wrestler’s weight at the first match that is 9 weeks away.
The wrestler's weight at the first match will be 152.1 pounds. The solution has been obtained by using the substitution method.
What is the substitution method?
The substitution method is a strategy used in algebra to solve simultaneous linear equations. In this process, as the name suggests, the value of one variable from one equation is swapped in the second equation.
We are given that the given situation can be modeled by the equation
y = −1.1x + 162.
Now, we need to find weight at the first match which is 9 weeks away.
So, we get that x = 9.
By substituting this value in the equation, we get
⇒ y = -1.1 (9) + 162
⇒ y = -9.9 + 162
⇒ y = 152.1
Hence, the wrestler's weight at the first match will be 152.1 pounds.
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Is the antiderivative of 20c to the 9th power dc equal to 20c to the 10th power over (divided by) 10?
In general, an antiderivative of a function f(x) is a function F(x) whose derivative is equal to f(x). The antiderivative of a polynomial function is obtained by adding one to the exponent of each term and dividing by the new exponent ⁵.
Find the length of the shortest path from vertex A to vertex L.
The shortest path from vertex A to vertex L in the given diagram is ABDGJLKFI, with a total length of 89.
We can find the length of the shortest path from vertex A to vertex L by calculating the sum of the shortest paths from A to C to F to I to L.
Using Dijkstra's algorithm, we can find the shortest path from A to C, then from C to F, then from F to I, and finally from I to L.
The shortest path from A to C is AB + BC = 3 + 16 = 19. The shortest path from C to F is CF = 25. The shortest path from F to I is FI = 21. The shortest path from I to L is IL = 24.
Therefore, the length of the shortest path from A to L is 19 + 25 + 21 + 24 = 89.
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(7x^9)^2*3x^11
^ is the exponent sign
The answer in exponent form is 147x^29.
What is a scientific notation?A scientific notation is a method of expressing very large numbers in the form of exponent.
In the given question, we have;
(7x^9)^2*3x^11
applying the law of indices,
(7x^9)^2*3x^11 = (7^2)*x^(9*2)*3x^11
= 49x^18*3x^11
= (49*3)*x^(18+11)
= 147x^29
Thus, the expression can be simplified as: 147x^29.
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Pls help
Me i have alot and this is due tomorrow
Evaluate (11/16−(3/4)2)×1
Answer:
-166/, -0.82,
Step-by-step explanation:
The above fraction, decimal are all evaluated answer for (11/16−(3/4)2)×1
A car and a bus left Sunrise Village for Sunset Village of the same time, travelling along the
same route. After travelling for 4 h, the car reached Sunset Village, but the bus had only
completed 5/8 of the journey. The bus travelled at a speed which was 30 Km/h slower than the car
a) Find the distance between the two villages.
b) Find the average speed of the bus.
Answer:
a) 192Km
b) 50
Step-by-step explanation:
7. The towns of Washington, Franklin, and Springfield are
connected by straight roads. The towns wish to build an
airport to be shared by all of them.
a. Where should they build the airport if they want it to be the same distance from
each town's center? Describe how to find the precise location.
b. Where should they build the airport if they want it to be the same distance from
each of the roads connecting the towns? Describe how to find the precise
location.
a. To build the airport at the same distance from the center of each town, they should locate the intersection of the perpendicular bisectors of the segments connecting each pair of towns.
b. To build the airport equidistant from each road, locate the intersection of the angle bisectors at each town
Where would the precise location be?The precise location of the airport will be the point where these perpendicular bisectors intersect. This point will be equidistant from the center of each town.
b. To build the airport equidistant from each road, locate the intersection of the angle bisectors at each town. This point is the precise airport location. Equidistant from all connecting roads.
They could find the intersection of the medians of the triangle formed by the three towns. The airport is located at the centroid of a triangle, equidistant from 3 towns at the intersection of medians.
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Factor out the Greatest Common Factor (GCF): 64d³ - 24d²
The factored form of 64d³ - 24d² is 8d²(8d³ - 3).
Define greatest common factorThe greatest common factor (GCF), also known as the greatest common divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. In other words, it is the largest number that divides evenly into two or more given numbers. For example, the GCF of 12 and 18 is 6, since 6 is the largest number that divides both 12 and 18 without leaving a remainder.
The greatest common factor (GCF) of the given terms is 8d². We can factor it out by dividing each term by 8d²:
64d³/8d² - 24d²/8d²
Simplifying the fractions:
8d³ - 3
Therefore, the factored form of 64d³ - 24d² is 8d²(8d³ - 3).
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A, B and C form the vertices of a triangle.
BC = 6.9cm and
∠
CBA = 137°.
Given that the area of the triangle is 12.6cm2, calculate the perimeter of the triangle rounded to 1 DP
A science class measured the mass of an amount of sand.about how many grains of sand are there in 7 grams of sand
Therefore , the solution of the given problem of expressions comes out to be there are roughly 7,000 grains of sand in 7 grammes of sand.
What exactly is an expression?Instead of using random estimates, it is preferable to use shifting numbers that may also prove increasing, reducing, variable or blocking. They could only help one another by trading tools, information, or solutions to issues. The justifications, components, or quantitative comments for tactics like further disagreement, production, and blending may be included in the assertion of truth equation.
Here,
A kilogramme (1000 grammes) of sand is thought to contain around 1 million grains of sand. This indicates that 1 gramme of sand contains roughly 1000 grains of sand.
Using this calculation, we can determine how many sand grains there are in 7 grammes roughly as follows:
=> Number of sand grains in 7 grammes = (# of sand grains in 1 gramme) x (7 grams)
=> 1000 x 7 = the number of sand grains in 7 grammes.
=> 7,000 sand grains are included in 7 grammes.
In accordance with this calculation, there are roughly 7,000 grains of sand in 7 grammes of sand.
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Select the expression that is less than 10 2/3.
A. 10 2/3 x 9/10
B. 1 x 10 2/3
C. 10 2/3 x 2 1/3
D. 2 1/8 x 10 2/3
Answer:
A
Step-by-step explanation:
Mr moketsi is the grade 6 maths teacher this week he is teaching the geometry section properties of 2D shapes.
Illustrate with actual activities how he is going to unfold his lesson according to the constructivism approach. include all the practices in your lesson with actual examples (10 marks)
Mr. Moketsi could help students in their learning of properties of 2D shapes through hands-on activities and discovery, as suggested by the constructivist perspective.
How would Mr Moketsi do this?Mr. Moketsi initiates the class by inquiring about their comprehension of 2D shapes and their properties, provoking conversation amongst students as they share their thoughts with their peers and their teacher.
He subsequently introduces an assortment of manipulatives, such as pattern blocks, geoboards, and tangrams to encourage experimentation and inquiry into these geometric figures, while posing thought-provoking questions throughout the lesson to help learners make connections between different shapes with a focus on discovering their unique attributes.
Mr. Moketsi encourages reflection, questioning how this newfound knowledge may be applied in reality, stimulating critical thinking abilities during classroom interaction with surfaces representing planes containing lengths and widths.
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find x
find x
find x
Solve the system of equations.
y=4x2+3x−5y=2x2+x+7
What is the sum of the y-coordinates of the solutions to the system?
Enter your answer in the box.
Answer:
37
Step-by-step explanation:
We are given the system of equations:
y = 4x^2 + 3x - 5
y = 2x^2 + x + 7
We can set the two equations equal to each other to get:
4x^2 + 3x - 5 = 2x^2 + x + 7
Simplifying, we get:
2x^2 + 2x - 12 = 0
Dividing both sides by 2, we get:
x^2 + x - 6 = 0
Factoring the left-hand side, we get:
(x + 3)(x - 2) = 0
Therefore, the solutions are x = -3 and x = 2.
To find the corresponding y-coordinates, we can plug these values of x into either of the original equations. Using the first equation, we get:
y = 4(-3)^2 + 3(-3) - 5 = 16
and
y = 4(2)^2 + 3(2) - 5 = 21
Therefore, the sum of the y-coordinates of the solutions is:
16 + 21 = 37
Answer: 37.
PLEASE HELP !!! MAJOR GRADE!!!!
Column A
1. A set of two of more linear equations that contain 2 or more variables.
2. When there is no answer to a system of equations or inequalities.
3. There is only one value for the variable that makes the equation true.
4. Terms with the same variables raised to the same exponent.
5. Equation is solved for one variable and that solution is substituted into the second equation.
6. A value that makes the equation true.
7. Adding subtracting or multiplying a system of equations to help solve a system.
8. A linear equation in one variable has infinitely
many solutions.
9. A letter that represents one or more numbers.
10.This is the number in front of the variables in a term
Column B
a. Elimination
b. Substitution
c. Solution
d. Infinitely Many Solutions
e. No solutions
f. System of Equations
g. Variable
h. Like Terms
i. One solution
j. Coefficients
Answer:
1. f. System of Equations
2. e. No solutions
3. i. One solution
4. h. Like Terms
5. b. Substitution
6. c. Solution
7. a. Elimination
8. d. Infinitely Many Solutions
9. g. Variable
10. j. Coefficients
Step-by-step explanation:
Ur welcome :)
Helppppppp pleaseeeee
Solve for x.
A
Set up the proportion.
XI7
The solution for the variable x is x = 8.4
How to determine the solution for the variable xfrom the question, we have the following parameters that can be used in our computation:
The right triangle
Using the proportion of similar triagles, we have
x/7 = 10/x
This gives
x * x = 7 * 10
So, we have
x² = 70
Next, we have
x = √70
Evaluate
x = 8.4
Hence, the solution for the variable x is x = 8.4
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[tex]if i have 12 yards of ribbon and they use 22 feet of ribbon to decorate the blanket then how many feet[/tex]
The remaining ribbon will be 14 feet.
Olga decorates blankets with ribbon she has 12 yards of ribbon
and, she uses 22 feet of the ribbon to decorates blankets
Now, we have to find the she decorates the blankets how many feet of ribbon will remain?
Firstly, Convert the yard into feet
We know that:
There are 3 feet in 1 yard
So, 36 feet in 12 yards
Now, The remaining ribbon will be the original amount less the amount used.
=> 36 - 12 = 14 feet
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step-by-steps to Solve a system of linear equations using matrices.
In order to properly solve a system of linear equations utilizing matrices, you must abide by the below instructions:
How to explain the equationFirst, create a matrix representation of the system of equations.
Second, generate an augmented matrix by merging the coefficient matrix together with the constant matrix.
Third, apply elementary row operations in order to transform the augmented matrix into either row echelon or reduced row echelon form.
Fourth, use back substitution to accurately determine the variable values.
Ultimately, enter this solution into the original equation in order to obtain the primary variable value.
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Solving linear equations using matrices involves steps ranging from creating an augmented matrix, performing row operations, back substitution, and then interpreting results
To solve a system of linear equations using matrices, follow these step-by-step instructions:
Step 1: Write the system of linear equations in matrix form.
Represent the coefficients of the variables as a matrix (called the coefficient matrix), and the constants on the right side of the equations as another matrix (called the constant matrix).
Step 2: Create the augmented matrix.
Combine the coefficient matrix and the constant matrix into a single matrix by appending the constant matrix as an additional column. This combined matrix is called the augmented matrix.
Step 3: Perform row operations to achieve row-echelon form.
Use row operations (swapping rows, multiplying a row by a constant, or adding/subtracting rows) to manipulate the augmented matrix into row-echelon form. Row-echelon form has zeroes below the diagonal and non-zero elements on the diagonal.
Step 4: Perform back-substitution.
Starting from the last row of the row-echelon form matrix, solve for the variables using back-substitution. Substitute the values of the variables you find into the previous rows to determine the remaining variable values.
Step 5: Interpret the results.
Once you have solved all the variables, you have found the solution to the system of linear equations. If there are infinitely many solutions or no solutions, this will be indicated by the row-echelon form.
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A triangle is translated by using the rule (x,y) → (x-4.y+1). Which describes how the figure is moved?
O four units left and one unit down
O four units left and one unit up
O one unit right and four units down
O one unit right and four units up
Mark this and return
Save and Exit
Next
Submit
Answer:
Four units left and one unit up
Step-by-step explanation:
Since we're subtracting from x, the figure is going to go toward the left side of the coordinate plane, and since we're adding to y, the figure is going to go up.
I have two similar triangles and can't find x. since I'm too lazy to download the app, the larger one has two sides of 6 and 12 and the smaller has two sides of x-3 and x+1. what is x??
Answer:
7
Step-by-step explanation:
We can use the fact that the corresponding sides of similar triangles are in proportion to each other.
Let's compare the corresponding sides of the two triangles:
Corresponding sides and ratio
larger triangle's side of length 6 larger triangle's side of length 12Ratio
smaller triangle's side of length x-3smaller triangle's side of length x+1Since the triangles are similar, we know that these ratios are equal. That is,
6 / (x-3) = 12 / (x+1)
We can simplify this equation by cross-multiplying:
6(x+1) = 12(x-3)
Expanding and simplifying:
6x + 6 = 12x - 36
42 = 6x
x = 7
Therefore, x has a value of 7.
50 Points! Multiple choice algebra question. Identify the type of regression that returns the equation y=3x^2. Photo attached. Thank you!
Answer:
C Exponential
Step-by-step explanation:
3x^2 -- its using an exponent
Which sequence below would best model the description? 50 points!
whats the answer to this
The calculated length of XY in the right triangle XYZ is 6
Calculating the length of XY in the right triangleFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The value of XY in the right triangle can be calculated using the following sine ratio
sin(30) = XY/XZ
So, we have
sin(30) = XY/12
Cross multiply the equation
So, we have
XY = 12 * sin(30)
Evaluate the products
XY = 6
Hence, the length of XY in the right triangle is 6
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A patient weighs 160 pounds and needs medication with dosage instructions of 15 mg/kg/day. It is to be given in 3 doses each day. How much medication should they receive per dose? Remember, 2.2 pounds is equal to 1 kilogram. Round to the nearest whole number.
The amount of medication should they receive per dose is,
⇒ 363.6 mg
Given that;
A patient weighs 160 pounds and needs medication with dosage instructions of 15 mg/kg/day.
And, It is to be given in 3 doses each day.
Hence, We get;
1 pounds = 1/2.2 kg
160 pounds = 160 x 1/2.2 kg
= 72.72 kg
Since, It is to be given in 3 doses each day.
Hence, The amount of medication should they receive per dose is,
⇒ 72.72 x 15 / 3
⇒ 363.6 mg
Thus, The amount of medication should they receive per dose is,
⇒ 363.6 mg
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