Answer:
x=3
Step-by-step explanation:
To visit your favorite ice cream shop, you must travel 490 mm west on Main Street and then 970 mm south on Division Street.
Find the total distance you traveled.
The total distanced travelled by me is 1086.74 mm approximately.
Use the Pythagorean theorem to calculate the total distance travelled.
The distance is the hypotenuse of a right triangle whose two legs are the lengths of Main Street and Division Street, respectively.
We know that West direction and South direction are in perpendicular direction with each other.
The Pythagorean theorem is used:
Total Distance² = 490² + 970²
Total Distance² = 240100 + 940900
Total Distance² = 1181000
Total Distance = √1181000
Total Distance = 1086.74 [Rounding off to nearest hundredth]
Hence the total distanced travelled by me is 1086.74 mm approximately.
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PRACTICING SKILLS & CONCEPTS
1. Complete the square box problem.
.6
2,
According to the question, the first part has square box with two diagonal lines and two values. In a square, all the sides are equal as well as opposite diagonal values are equal.
Therefore, from the figure ABCD is a square in which AC and BD is a diagonal. So the remaining empty boxes will have (-2,6).
In the second part, using probability the arrangement of the alphabets can be done. As per question, total three alphabets are there that is A, B,D. The three alphabets can be arranged as:
Probability = 3! = 6 ways
Hence, the arrangement of alphabets can be done in 6 ways.
What is probability?
Probability defines the occurrence of the events or the outcomes of the occurred events. It is the ratio of favored outcomes to total number of occurred outcomes.
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3.
Find two numbers whose product is -6 and whose sum is 1.
Answer:
-2, 3
Step-by-step explanation:
yeah that's it I don't have any explanation or formula
let the numbers be x and y
xy = -6
x + y = 1
from x + y = 1
y = 1 - x
x(1 - x) = -6
x - x² + 6 = 0
-x² + x + 6 = 0
on solving,
x = -2 or x = 3
y = 1 - (-2) = 3
y = 1 - 3 = -2
x1 = -2, y1 = 3.
x2 = 3, y2 = -2.
Transform y = f(x) by reflecting it across the x-axis. Label the newfunction h(x). Compare the coordinates of the corresponding pointsthat make up the two functions. Which coordinate changes, x ory?
y = f(x)
Reflection, change the sign of the function
y = - f(x)
f(x) -f(x)
1 -1
2 -2
3 -3
8 -8
20 -20
The x coordinate will change.
6 customers entered a store over the course of 8 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
0.75 customers a minute
Step-by-step explanation:
6 customers in 8 mins = 0.75 customers in 1 min
Find this by dividing both values by 8
What scale factor was applied to the first diamond to get the resulting image?
(21 points)
The scale factor was applied to the first diamond is 2.5
How to determine the scale factorFrom the question, we have the following parameters that can be used in our computation:
The diamonds
The scale factor is calclated as
scale factor = Diamond 2/Diamond 1
Substitute the known values in the above equation, so, we have the following representation
scale factor = 1.5/0.6
Evaluate
scale factor = 2.5
Hnce, the scale factor is 2.5
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In testing whether each individual independent variables (Xs) in a multiple regression equation is statistically significant in explaining the dependent variable (Y), one uses F-test Durbin-Watson test t-test z-test
Option c T test
In testing whether each individual independent variables (Xs) in a multiple regression equation is statistically significant in explaining the dependent variable (Y), one uses T-test.
A T-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero.
Each independent variable is subjected to the T-test to determine whether the null hypothesis that the slope is 0 is true. This suggests that the independent and dependent variables do not significantly interact.
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Find the value of x.
110°
X + 116
To raise funds, the football team is selling coupon calendars. The football team earned $500 in selling coupons for the calendar and plans to sell the calendars for $20 each. The cost of printing each calendar is $8 each.
Answer:
$500 / $8 = 62.5, and if you rounded that to the closest number, it would be 63. So the football team would have printed 63 calendars.
Step-by-step explanation:
The number of calendars printed with the raised funds is 63.
Given that, the football team earned $500 in selling coupons for the calendar and plans to sell the calendars for $20 each. The cost of printing each calendar is $8.
We need to find the number of calendars printed.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of calendars printed=500/8
=62.5≈63
Therefore, the number of calendars printed with the raised funds is 63.
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how many ways are there to assign each of $6$ friends to either the chemistry class or the biology class if one of these six, manoj, refuses to be in a class without any of his friends?
There are 62 number of ways in which classes to these students can be assigned. It can be solved by using the fomula of combination.
What is the formula of combination?
Following is the fomula of combination:
\(^nC_r=\frac{n!}{r!(n-r)!}\)
Here, n is the total objects available and r is the number of object need to choose from n objects.
Let six friends are A, B, C, D, E, and manoj.
Consider all 6 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_6\)
Consider 5 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_5\)
Consider 4 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_4\)
Consider 3 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_3\)
Consider 2 friends are in chemistry class. Hence, number of ways in which it can be is,
\(^6C_2\)
Consider 1 friend is in chemistry class. Hence, number of ways in which it can be is,
\(^6C_1\)
Consider no friend is in chemistry class all are in biology class. Hence, number of ways in which it can be is,
\(^6C_0\)
Hence, total number of ways in which classes can be assigned to 6 students is,
\(^6C_6+^6C_5+^6C_4+^6C_3+^6C_2+^6C_1+^6C_0=64\)
Now, the number of ways in which mnoj is alon. There are two ways. Either he will be in the chemistry class or he will be in the physics class.
Hence, subtract 2 from 64 to get the answer.
\(64-2=62\)
Hence, there are 62 number of ways in which classes to these students can be assigned.
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0.233333 as a fraction
Answer:
23333/100000\
Step-by-step explanation:
Answer:
233333/1000000
Step-by-step explanation:
True or False A vector in space may be described by specifying its magnitude and its direction angles.
True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.
In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.
Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.
It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.
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The incenter is the intersection point of the _______ bisectors of the triangle. A.parallel B. angle C. perpendicular D. bisector
Angle.
Brainly if correct, and thank you!
Answer: Angle i think, i kinda remember doing something like that, but im not too sure.
Step-by-step explanation:
model aeroplane is made to a scale of 1 by two of the size of the real plane the area of the wings of the real plane are 40 m square find the area of the wings of the model in centimetre square
The area of the wings of the model is 100000 square centimeters
How to determine the model area of the wings?The given parameters are:
Scale factor, k = 1/2
Actual area of wings, A = 40 square meters
The model area is calculated as
Model area = Actual area * k^2
This gives
Model area = 40 * (1/2)^2
Evaluate
Model area = 10 square meters
Convert square meters to square centimeters
Model area = 10 * 10000 square centimeters
Evaluate
Model area = 100000 square centimeters
Hence, the area of the wings of the model is 100000 square centimeters
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Let T(x,y)=(−1x+y+z,−1x−3y+2z,z)T(x,y)=(-1x+y+z,-1x-3y+2z,z). 1. Find the image of (2,−1,−3)(2,-1,-3) 2. Find the preimage of (−1,5,2)(-1,5,2).
The image of the given point (2, -1, -3) is (-4, 1, -3). and , the required pre-image of the given point (-1, 5, 2) is (1, 2).
Let T(x,y) = (-x + y + z, -x - 3y + 2z, z)
Here is the solution to the given problem.
Image of the given point (2, -1, -3):T(2, -1, -3) = (-2 + 1 - 3, -2 - 3 + 6, -3)= (-4, 1, -3)
Therefore, the image of the given point (2, -1, -3) is (-4, 1, -3).
Pre-image of the given point (-1, 5, 2):
We have T(x,y) = (-x + y + z, -x - 3y + 2z, z)
Now, we can equate T(x,y) = (-1, 5, 2)as (-x + y + z, -x - 3y + 2z, z) = (-1, 5, 2)
Comparing the first element, we have,-x + y + z = -1y = x + z - 1
Comparing the second element, we have,-x - 3y + 2z = 5-x - 3(x + z - 1) + 2z = 5-4x - z = 8z = 4x - 3
Now, comparing the third element, we have z = 2
We get z = 2 from the third element above.So, x = 1, from the first element
y = 2 from the relation obtained earlier
Therefore, pre-image of the given point (-1, 5, 2) is (1, 2).
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Please answer this!!!! Please answer this correctly or I will not mark you as a BRAINLIST!
1)
a) 1/20
b) 19/20
c) 12/20
d) not sure
e) 8/20
2)
a) 3/6
b) 2/6
c) not sure
d) 3/6
Please mark brainlist took 5 minutes to do
consider a medical test that could be used to diagnose a form of cancer. the form of cancer is rare and effects a population at a rate of 0.001. the test has a false positive rate of 0.005. for individuals with this form of cancer the test has a perfect detection rate of 1. (a) out of a population of 1 million, how many people are expected to have this form of cancer? (b) out of a population of 1 million, how many people would test positive for this form of cancer? (c) if a particular person tested positive, what is the probability that this person actually has this form of cancer?
(a) Out of a population of 1 million, we can expect 1000 people to have this form of cancer, as the rate of the disease is 0.001 (0.1% of the population) multiplied by 1 million.
(b) Out of a population of 1 million, 5000 people would test positive for this form of cancer, as the false positive rate is 0.005 (0.5% of the population) multiplied by 1 million.
(c) The probability that a person who tested positive actually has this form of cancer is 16.69%.
(a) Out of a population of 1 million, how many people are expected to have this form of cancer?
To calculate this, we'll multiply the population by the rate of cancer occurrence:
1,000,000 (population) × 0.001 (rate) = 1,000 people with cancer.
(b) Out of a population of 1 million, how many people would test positive for this form of cancer?
First, we need to find out how many false positives there would be:
1,000,000 (population) × 0.005 (false positive rate) = 5,000 false positives.
Next, since the test has a perfect detection rate (1) for individuals with cancer, all 1,000 people with cancer would test positive.
Total positive tests = 1,000 (true positives) + 5,000 (false positives) = 6,000 positive tests.
(c) Bayes' theorem. The probability of having the disease given a positive test result can be calculated as follows:
P(A|B) = P(B|A) * P(A) / P(B)
where A is the event of having the disease, B is the event of testing positive, P(A) is the prior probability of having the disease (0.001), P(B|A) is the probability of testing positive given that you have the disease (1), and P(B) is the probability of testing positive, which can be calculated as the sum of the true positive and false positive rates:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
P(B) = 1 * 0.001 + 0.005 * 0.999
P(B) = 0.005995
Now we can plug in the values and solve:
P(A|B) = 1 * 0.001 / 0.005995
P(A|B) = 0.1669
So the probability that a person who tested positive actually has this form of cancer is 16.69%.
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Given the parabola in which the vertex is the origin and the directrix is a horizontal line passing through the point (0,-7), a student determined that the parabola opens to the right and that the equation of the parabola is y^2=28x. Evaluate the student’s answer. A. The student’s answer is correct. B. The student determined the direction of the parabola correctly but did not correctly determine the equation of the parabola. C. The student determined the equation of the parabola correctly but did not correctly determine the direction of the parabola. D. The student used the equations for a horizontal parabola instead of a vertical parabola. Both the equation and direction of the parabola are incorrect. Please select the best answer from the choices provided
The given parabola has its vertex at the origin and the directrix as a horizontal line passing through the point (0,-7), and the equation is y^2 = 28x, which opens to the right. So, the correct answer is A) The student's answer is correct.
To determine if the student's answer is correct, we need to check if the equation of the parabola and the direction of its opening match the given conditions.
The given parabola has its vertex at the origin and the directrix as a horizontal line passing through the point (0,-7). Therefore, the axis of symmetry is the y-axis, and the focus is located at (0,7).
The standard equation of a parabola with the vertex at the origin and the directrix as a horizontal line passing through the point (0,-p) is y² = 4px, where p is the distance from the vertex to the directrix. In this case, p = 7, so the equation of the parabola is y² = 28x.
The coefficient of x in the equation is positive, indicating that the parabola opens to the right. Therefore, the student correctly determined the direction of the parabola as well.
Hence, the answer is A. The student's answer is correct.
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please help me I don't get it
Answer:
The answer is a 2
Step-by-step explanation:
Is a 2 because the point 1 is a 2 line
Answer:
there is one side that is in the negative and then the other side is in the positive side
Step-by-step explanation:
dream smp
out here <3
Answer:
hahaha vote enhypen on mama thanks
Answer:
Hey im present
Step-by-step explanation:
you have summoned me.
please help first will be brainliest
Answer:
Just multiply or divide the numbers they give you try both
Step-by-step explanation:
Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
a
Step-by-step explanation:
if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)
What is the name of the individual credited with devising levels of measurement in which different measurement outcomes can be classified?
a. Binet
b. Stevens
c. Cattell
d. Wechsler
The individual credited with devising levels of measurement in which different measurement outcomes can be classified is Stanley Smith Stevens.
Stanley Stevens was an American psychologist and professor known for his work in psychophysics and measurement theory. In 1946, he proposed a framework for levels of measurement, which became known as Stevens' levels of measurement or Stevens' scale.
Stevens recognized that different types of data or measurements have different properties and require different statistical operations. He categorized measurement scales into four distinct levels:
Nominal Scale: The nominal scale is the lowest level of measurement. It involves assigning categories or labels to objects or individuals without any inherent order or numerical value. Examples include gender (male/female), eye color (blue/brown/green), or favorite color (red/blue/green). Nominal data can be classified and counted, but arithmetic operations such as addition or subtraction are not meaningful.
Ordinal Scale: The ordinal scale represents data with categories that have a natural order or ranking. It allows for comparisons of the relative size or magnitude between categories, but the differences between categories may not be equal or meaningful. Examples include rankings (1st, 2nd, 3rd), Likert scales (strongly agree/agree/neutral/disagree/strongly disagree), or letter grades (A, B, C, D, F). Arithmetic operations are still not applicable to ordinal data.
Interval Scale: The interval scale has categories with meaningful order, and the differences between categories are equal and meaningful. It includes a fixed measurement unit but lacks a true zero point. Temperature in Celsius or Fahrenheit is a classic example of an interval scale. Arithmetic operations like addition and subtraction are meaningful, but multiplication and division are not.
Ratio Scale: The ratio scale is the highest level of measurement. It possesses all the properties of the interval scale, along with a true zero point that indicates the absence of the measured attribute. In addition to equal intervals, ratio scales allow for meaningful multiplication and division. Examples include height, weight, time, or counts of objects.
Stevens' levels of measurement provide a framework for understanding the properties and appropriate statistical analyses for different types of data.
By categorizing measurement scales into these levels, researchers can make informed decisions about the appropriate statistical techniques to use based on the nature of their data. Stanley Smith Stevens' contributions have had a significant impact on the field of measurement theory and statistical analysis.
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Explain why xº = 1
I’m pretty sure it has something to do with exponents
Answer:
the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all
Step-by-step explanation:
Substitution Method: x+y (1)
2x-y=2 (2)
Find x and y.
Answer:
x = 8/3
y = 10/3
Step-by-step explanation:
We add (1) and (2) to get 3x = 8. This means that x = 8/3. We substitute it back into (1) to get 8/3 + y = 6 which shows that y = 10/3
You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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Gary used to make bottles of glitter glue.
Bottles Glue Glitter
1 3.8 1.9
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 15.2 oz glue and 3.8 oz of glitter to make 4 bottles.
Gary would need 6.8 oz glue and 4.9 oz of glitter to make 4 bottles.
Gary would need 7.8 oz glue and 5.9 oz of glitter to make 4 bottles.
Gary would need 15.2 oz glue and 7.6 oz of glitter to make 4 bottles.
Gary would need 15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bottles Glue Glitter
1 3.8 1.9
This means,
1 bottle = 3.8 oz of glue and 1.9 oz of glitter
Now,
1 bottle = 3.8 oz of glue
Multiply 4 on both sides.
4 bottle = 4 x 3.8 oz
4 bottle = 15.2 oz
1 bottle = 1.9 oz of glitter
Multiply 4 on both sides.
4 bottle = 7.6 oz
Thus,
15.2 oz of glue and 7.6 oz of glitter to make 4 bottles.
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What is the mean of this data set? {10, 15, 12, 6, 2}
Widows A recent study indicated that 26% of the 95 women over age 55 in the study were widows. Round up your answers to the next whole number for the following questions. Part: 0/2 Part 1 of 2 How large a sample must you take to be 95% confident that the estimate is within 0.05 of the true proportion of women over age 55 who are widows? n - 296 Part: 1/2 Part 2 of 2 If no estimate of the sample proportion is available, how large should the sample be?
Part 1 of 2. To be 95% confident that the estimate is within 0.05 of the true proportion of women over age 55 who are widows, you need to take a sample size of 296.
Part2 of 2. If no estimate of the sample proportion is available, you should take a sample size of 385 to achieve a 95% confidence level and a margin of error of 0.05.
To determine the sample size required to estimate the true proportion of women over age 55 who are widows with a 95% confidence level and a margin of error of 0.05,
We can use the formula for sample size calculation for proportions.
n = (Z² × p × q) / E²
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (in this case, 95% confidence level corresponds to a Z-score of approximately 1.96)
p = estimated proportion of women over age 55 who are widows (given as 0.26)
q = 1 - p (the complement of p)
E = margin of error (0.05)
Plugging in the values:
n = (1.96² ×0.26 × (1 - 0.26)) / 0.05²
n=295.98
Part 2 of 2: If no estimate of the sample proportion is available, the worst-case scenario is when the proportion is 0.5 (maximum variability).
In this case, we can use the same formula but substitute p with 0.5.
n = (Z² × p × q) / E²
n = (1.96² ×0.5 × (1 - 0.5)) / 0.05²
n = 384.16
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Distance between -1.75 and 1.5 on a number line
Answer:
3.25
Step-by-step explanation:
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