See the attached picture
HELP MEE
Use the provided ruler to find the scale and the scale factor of the drawing
Iris
Cornea
Pupil
24 mm
Vitreous
humor
Lens
The scale is
cm :
mm.
The scale factor is
Answer:
45
Step-by-step explanation:
I took the test and got right
Match the correct figure to each label.
CD with the points at the end (like a number line) with the numbers C, D go in the last box.
The ones in forms of angles with the letters C, T, M in the first one
The correct figure matched to each label is given below.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
We have 5 diagrams.
The first diagram represents the segment CD.
The second diagram represents a ray CD.
The angle measure of CTM is represented by the third diagram.
The angle measure of TCM is represented by the fifth diagram.
And the free line from the both sides CD is given in the fourth diagram.
The matched images are given in the attached image.
∠CTM = Image 1 (attached)
CD = Image 2 (attached)
Therefore, the matched images are given above.
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A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?
If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.
In the given question, a new disease has been observed, and experts believe that 1% of the population have it.
A test is developed that has 95% true positive rate and 1% false positive rate.
From the given data,
Let E be the event that a patient has a disease and F be the event that a patient has tested positive.
Then according to Bayes' theorem we have,
P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')
P(E/F) = (1*95)/(1*95)*(99*1)
P(E/F) = 95/194
P(E/F) = 0.489 (approx.)
Hence, the probability that Alice has the disease 0.489.
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what is the average time gap between the first cyclists time and each of the remaining cyclists' times (second through fifth) in the 1995 volta a catalunya cycle race if we know the result?
The average time gap between the first cyclist's time and each of the remaining cyclists' times (second through fifth) in the 1995 Volta a Catalunya cycle race is approximately 6 minutes and 7 seconds.
To calculate this, we need to subtract the time of the first cyclist from each of the remaining cyclists' times (second through fifth).The time for the first cyclist was 41:38:33.
The times for the remaining cyclists were as follows:
We can calculate the difference for each cyclist by subtracting the first cyclist's time from their own time:
Adding up all of the times and dividing by four, we get an average of 00:06:07.
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in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the ___________ come from a normal distribution.
The answer to the given fill in the blanks is "Residual". in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the Residual come from a normal distribution.
In linear regression, we make several assumptions about the relationship between the predictor variable and the response variable. One of these assumptions is that the residuals (the differences between the predicted values and the actual values) follow a normal distribution with a mean of zero and constant variance. To check this assumption, we can create a normal quantile plot of the residuals. A normal quantile plot is a graphical method that compares the distribution of the residuals to a normal distribution. If the residuals are normally distributed, the plot should follow a straight line. If the plot deviates from a straight line, it suggests that the residuals are not normally distributed. A non-normal distribution of residuals can have several implications, such as indicating the presence of outliers or influencing the accuracy of the model’s prediction. Therefore, checking for normality of residuals is a crucial step in evaluating the model's assumptions and determining whether the model is appropriate for the data.
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!!!!!!!!!!!!!!!!!!!2
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this problem in one step, we just have to look at the graph and see how the line works.
The equation of the line is \(y=8x+0\) as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.
In words, after reading our equation, we can see the following
"Every hour Anthony works, he earns 8 dollars".
We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis
Hence our answer would be B.
Cheers!
1/sinx+cosx + 1/sinx-cosx = 2sinx/sin^4x-cos^4x
The simplified expression is 2cos²(x) + sinx - 1 = 0
The expression we will be simplifying is
=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.
To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:
(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)
Simplifying this expression using the distributive property, we get:
(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)
Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:
1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1
Similarly, for the second fraction, we can use the same identity to obtain:
1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1
Substituting these values back into the original expression, we get:
1 + 1 = 2sinx/(sin⁴x - cos⁴x)
Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:
sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ
Substituting this back into the expression, we get:
2 = 2sinx/(sin²ˣ - cos²ˣ)
Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):
2 = -2sinx/cos(2x)
Multiplying both sides by -cos(2x), we get:
-2cos(2x) = 2sinx
Dividing both sides by 2, we get:
-cos(2x) = sinx
Using the double-angle formula for cosine, we get:
-2cos²(x) + 1 = sinx
Simplifying this expression, we get:
2cos²(x) + sinx - 1 = 0
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At what temperature did the gas have a volume of 110 mL?
300 K
110 K
20 K
19 K
Here is a distribution of quiz scores for a statistics course: 87, 91, 74, 73, 80, 84, 68, 75 what is the standard deviation?
The standard deviation is 7.35.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group
In order to determine the standard deviation, take the following steps:
Determine the mean of the observation: (87 + 91 + 74 + 73 + 80 + 84 + 68 + 75) / 8 =79
Determine the difference between each value and the mean and then square the result:
(87 - 79)² + ( 91 - 79) ² + (74 - 79)² + (73 - 79)² + (80 - 79)² + (84- 79)² + (68 - 79)² +( 75- 79) ²
64 + 144 + 25 + 36 + 1 + 25 + 121 + 16 = 432
Determine the mean of the sum of the squared differences and then find the square root of the mean:
√432 / 8 = 7.35
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On a coordinate plane, a line goes through points (negative 2, 1) and (0, negative 3). Y = negative StartFraction 2 Over 9 EndFraction x + 2.
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
The slope is negative for both functions.
The equation has a steeper slope than the line in the graph.
The slope of the line in the graph is -2.
The graph and the equation express an equivalent function
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
Answer:
Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation:
got it right on the quiz!!!
The time it takes to drive between two cities is inversely proportional to the average speed
of a car. It took Akiko 1.4 hours to drive from New Britain to Lakeview at an average speed
of 40 miles per hour (mph). How long will it take Akiko to drive from New Britain to
Lakeview at an average speed of 50 mph? Describe how to solve this problem using
complete sentences.
It will take Akiko 1.12 hours to drive from New Britain to Lakeview at an average speed of 50 mph.
AveragesTo determine how long will it take Akiko to drive from New Britain to Lakeview at an average speed of 50 mph the following calculation must be made:
1.4 x 40 = 5656 / 50 = 1.12Therefore, it will take Akiko 1.12 hours to drive from New Britain to Lakeview at an average speed of 50 mph.
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What is the image of the point (6,-9) after a dilation with k = 3
Answer:
Step-by-step explanation:
PLEASE HELP FAST I NEED A EXPERT OR HIGHER 20 POINTS! I need the domain and range of each Graph 2 number so for example 5/1 or something THANKS!!
Problem 1
Answers:
Domain: \(-3 \le x < 5\)
Range: \(-4 < y \le 3\)
--------------------
Explanation:
The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.
The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is \(-4 < y \le 3\)
===========================================
Problem 2
Answers:
Domain: \(-2 < x < 4\)
Range: \(-2 < y < 5\)
--------------------
Explanation:
We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.
===========================================
Problem 3
Answers:
Domain: \(1 \le x \le 4\)
Range: \(-4 \le y \le -1\)
--------------------
Explanation:
The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.
Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?
Answer:
$3300 at 4%
$11700 at 7%
Step-by-step explanation:
Total investment = $15000
Total simple interest on investment = $951
Investment A:
Rate = 4% =0.04
Investment B:
Rate = 7% =0.07
Simple interest (S. I) = principal * rate * time
(S. I on investment A + S. I on investment B)
Let principal amount in investment A = A
principal amount in investment B = B
(A * 0.04 * 1) + (B * 0.07 * 1) = $951
0.04A + 0.07B = $951 - - - - (1)
A + B = $15000 - - - - (2)
from (2)
A = 15000 - B
Substitute A = 15000 - B into (1)
0.04(15000 - B) + 0.07B = 951
600 - 0.04B + 0.07B = 951
600 + 0.03B = 951
0.03B = 951 - 600
0.03B = 351
B = 351 / 0.03
B = $11700
From (2)
A + B = $15000
A + $11700 = $15000
A = $(15000 - 11700)
A = $3300
Marie works for an optician.
She records the depth of a lens in each of the 100 pairs of glasses on display.
Depth
Her results are summarised in the table.
Number of pairs of glasses
Depth of lens, x mm,
to the nearest mm
10 << 20
5
20 < X < 30
20
30 < x < 40
23
40 <r< 50
52
In which group does the median lie?
(1 mark)
10 < x < 20
20 < x < 30
30 < x < 40
40 < x < 50
The median lies in the group "30 < x < 40".
Median in Lens DepthTo determine the median, we followed these steps:
Arranged the data in ascending order: 10, 20, 20, 23, 52Counted the number of observations. In this case, there are 5 observations.Since the number of observations is odd (5), the median is the middle value. In this case, the middle value is 23.Identified the group that contains the median value. In this case, the group "30 < x < 40" contains the median value of 23.Therefore, the median lies in the group "30 < x < 40".
The median is a statistical measure that represents the middle value in a set of numerical data. It is used to describe the central tendency of the data and to determine where the majority of the values lie. To find the median, the data must be arranged in ascending or descending order, and the middle value is taken.
If the number of observations is odd, the median is the middle value. If the number of observations is even, the median is the average of the two middle values. The median is useful for finding the central value of data that may have extreme outliers or skewness, as it is not affected by the presence of such values.
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: What is the image after (3,7) is reflected over the x-axis?
Brainly
Got the question wrong cause the other answer here is the correct answer directly from Delta Math.
(-7, -3)
Enjoy and Happy Holidays!
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $28 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has no monthly fee but charges $0.14 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
70000%
Step-by-step explanation:
Anton is constructing an angle congruent to ∠PQR. With his straightedge, he draws and labels AB−→. He places the compass point on point Q and draws an arc that intersects QP−→− and QR−→−. He labels the point where the arc intersects QP−→− as point S and the point where the arc intersects QR−→− as point T. What should Anton do next?
Answer: i just took the test yesterday and got it right
With the same compass opening, place the compass point on point A and draw a long arc through AB−→−.
hopefully this helps. i would have helped you sooner if i seen it before now
Place the compass point on point A and draw a long arc through AB using the same compass opening.
What is arc ?An "arc" is a smooth curve that connects two points. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve. An arc can be a portion of another curved shape, such as an ellipse, but it most commonly refers to a circle.
The arc of a circle is defined as a portion or segment of a circle's circumference. A chord of a circle is a straight line formed by connecting the two ends of an arc. A semicircular arc is one that is exactly half the length of a circle.
A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc.
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Use the Rule of 72 to solve. Manny has his money in a savings account earning 4.5% interest. How long will it take for his money to double? Eighteen years, two years, twelve years, or sixteen years?
Answer:
sixteen years - twelve years - two years - eighteen years answer: 72 divide by 4.5= 16 - sixteen years
i hope this helps you
Answer:
16 years it will be for his money to double
Step-by-step explanation:
In the formula, V x E = Motivation, the E stands for ________________.EnergyEffortExpectation
In the context of the formula V x E = Motivation, the E represents Effort as a significant factor in determining an individual's motivation level.
In the formula, V x E = Motivation, the E stands for Effort.
Effort refers to the amount of energy and exertion put forth by an individual towards achieving a goal or desired outcome. It represents the level of dedication, commitment, and persistence in undertaking tasks or activities. Effort plays a crucial role in determining the level of motivation an individual possesses.
The formula V x E = Motivation suggests that motivation is a product of the value (V) an individual places on a specific goal or outcome and the effort (E) they are willing to invest in pursuing that goal. The more effort one puts in, the higher their motivation is likely to be.
Effort can encompass various components, such as physical exertion, mental focus, time commitment, and emotional investment. It involves pushing oneself beyond comfort zones, overcoming challenges, and maintaining a strong work ethic.
Therefore, in the context of the formula V x E = Motivation, the E represents Effort as a significant factor in determining an individual's motivation level.
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Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation:
Evaluate the Expression 64 / (2 x 4)
Here, we want to evaluate the given expression. Multiply the numbers in the denominator to get a single number. Then proceed to divide the numerator by the single number
We proceed as follows;
\(\frac{64}{2\text{ }\times\text{ 4}}=_{}\frac{64}{8}\text{ = 8}\)Overviev
Homework Progress
28/64 Marks
Expand and simplify (2x + 1)(x-2)(x + 3)
Question Progress
There are 20 different colored marbles in a bag and 4 of them are yellow. What
percentage of the marbles are yellow?
Answer:
20%
Step-by-step explanation:
4/20 * 100=20
Please help school is ending soon!Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, the change in the mean is calculated as follows:
Change in mean = Mean of second data set - Mean of first data set
Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:
Change in mean = Mean of second data set - Mean of first data set
= Mean of first data set - Mean of first data set
= 0
Thus, the change in the means between Kelly's original survey and her second survey is zero.
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The numbers on the faces of a six-sided number cube are the outcomes
that can occur when rolling it.
An outcome is the result of a single trial of a probability experiment.
An experiment is a situation involving chance that leads to results, or outcomes.
You call a list of all possible outcomes of an experiment a sample space.
2 List the sample space for the experiment of rolling a six-sided
number cube.
The sample space for rolling a six-sided number cube is \({1, 2, 3, 4, 5, 6}\)}, representing the six possible outcomes of the experiment.
The sample space for the experiment of rolling a six-sided number cube consists of all the possible outcomes or numbers that can be obtained when the cube is rolled. Since a standard six-sided cube has six faces, each numbered from 1 to 6, the sample space can be represented as \({1, 2, 3, 4, 5, 6}\)}.
In this case, the sample space is a set containing the individual numbers 1, 2, 3, 4, 5, and 6, which represent the possible outcomes of rolling the cube. Each number in the sample space corresponds to a face of the cube, and when the cube is rolled, one of these numbers will be the result.
It's important to note that each outcome in the sample space is equally likely, assuming the cube is fair and unbiased. Therefore, the probability of obtaining any particular outcome is 1 out of 6 or approximately 0.1667.
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Visit lives 5km from the school. She walks 1km at 4km/h and travels the rest of the way by bus at 16km/h. What is the average speed for the whole journey
Answer:
0.63km/h
Step-by-step explanation:
Step one:
given data
total distance= 5km
velocity of walk= 4km/h
distance covered while walking= 1km
time taken to walk
t1= 4/1
t1= 4hours
Step two:
velocity of bus= 16km/h
distance covered while walking= 5-1= 4km
time taken to walk
t2= 16/4
t2= 4hours
total time = 4+4=8hours
Average speed= total distance/total time taken
average speed= 5/8
average speed=0.63km/h
A chart showing the results of data collection for frequency of fast food consumption by each of three head of household age groups is an example of a(n) ______.
The chart showing the results of data collection for frequency of fast food consumption by each of three head of household age groups is an example of a frequency distribution chart.
A frequency distribution or frequency table is a way of organizing and presenting data by categorizing it into different groups or intervals and indicating the number of occurrences or frequency within each group. In this case, the data collected pertains to the frequency of fast food consumption for three different age groups of household heads.
The chart would typically have three columns representing the age groups (e.g., 18-30, 31-45, 46-60), and another column indicating the frequency or number of households within each age group that reported a specific frequency of fast food consumption (e.g., daily, weekly, monthly). The frequencies can be represented in numbers or percentages.
This type of chart helps visualize the distribution of fast food consumption habits across different age groups, allowing for comparisons and analysis of patterns or trends. It provides a concise summary of the collected data and facilitates easy interpretation and understanding of the frequency distribution within each age group.
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Is it possible to solve 3 equations with 4 variables?
A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.
What is linear system?A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.
Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.
The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.
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A rectangular prism with the width as two feet, the length as one and a half feet and the height as one and a half feet.
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Answer:
Fraction form: 1/2
Decimal Form: 0.5
Step-by-step explanation:
2 x 1/2 x 1/2
Keep in mind each time you are trying to find the Volume of a Prism make sure to multiply the length x width x height.