Step-by-step explanation:
Given: O is mid point of AB and CD
∴ AO=OB and CO=OD
To prove: AC=BD
Proof: Consider △AOC and △BOD
AO=OB (given)
CO=OD (Given)
∠AOC=∠BOD (Vertically Opposite angle)
△AOC≡△BOD
Hece we get, AC=BD (by c.p.c.t.)
You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve an equation to find the additional number x of cookies you need to bake in order to have 2 cookies for each student. Write your equation so that the units on each side of the equation are cookies per student.
Equation: The equation has to equal 2
=2
Number of cookies: x=
Please help Thank you
Answer:
12+2x=46 x=17 cookies
Step-by-step explanation:
First you are going to double the number of students because each student is getting 2 cookies. Then you will subtract 12 from 46 and that gets you 34. Then you will divide 2 by 34 to get how many cookies she needs to bake. 17 more cookies. To check your work plug in 17 by the x. so 2 times 17 is 34 plus 12 is 46 so that answer is correct.
A result is called "statistically significant" whenever. O The null hypothesis is true. O The significant level a = 0.05. O The p-value Greaterthanorequalto 0.05. O The p-value is less than the significant level.
A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.
This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.
The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.
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Remy drink 2 1/4 cups of water every 1 4/5 hours. How many cups of water does he drink in 1 hour? Enter your answer as a mixed number.
Answer:
The answer is 1 1/4
Step-by-step explanation:
solve by making a ratio!
(2 1/4 cups)/ (1 4/5 hrs)
to find how many cups he can drink in 1 hr, divide both the numerator and denominator by 1 4/5.
(5/4 cups)/ (1 hr)
the question asks for a mixed number. convert 5/4 to a mixed number.
5/4= 1 1/4
At a county fair, the cost for 4 slices of pizza and 2 orders of french fries is $21.00. The cost of 2 slices of pizza and 3 orders of french fries is 16.50. How much does one slice of pizza cost?
one slice of pizza is $3.75
Step-by-step explanation:
first write out 2 simultaneous equations from thr given information.
fries=f and pizza=p
4p+2f=21
2p+3f=16.5
and solve from there through either the substitution method or elimination. hope this helps
Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are alternate exterior angles with angle 11? 5 and 13 7 and 15 6 and 16 8 and 14.
Angles 13 and 5 are the opposing exterior angles to angle 11.
If two angles are on the exterior side of parallel lines and lie on the opposite sides of the transversal line, they are said to be alternate exterior angles.
The fact that r and t are parallel to one another is a given.
The angles 13 and 5 are on the outside side of parallel lines in the illustration, and they are located on the opposite sides of the transverse line..Angles 13 and 5 are hence complementary outer angles to angle 11.
If two angles are on the exterior side of parallel lines and lie on the opposite sides of the transversal line, they are said to be alternate exterior angles.
The fact that r and t are parallel to s and u is a given.
r║s and t║u. The angles 13 and 5 are on the outside side of parallel lines in the illustration, and they are located on the opposite sides of the transverse line.
Therefore, Angles 13 and 5 are hence complementary outer angles to angle 11.
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Can someone please help me with this?
Answer:
12ft
Step-by-step explanation:
lets find the area of the triangle first;
area=1/2×b×h
1/2×32×9=144ft²
area of square= s²
√144
=12 feet
how many of them contain beads of at least two different colors? (hint: calculate how many beads contain exactly 1 color, and subtract from the first answer.)
To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.
1. Calculate the number of beads that contain exactly one color:
Let's assume there are n colors available.For each color, there are n beads of that color.So, the total number of beads of only one color is n * n.2. Calculate the total number of beads:
If we assume there are m beads in total, where each bead can be of any color.The total number of beads is m.3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:
The number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.Number of beads with at least two different colors = m - n * n.Let's take an example to illustrate this:
Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).
Calculate the number of beads that contain exactly one color:
Number of beads with exactly one color = n * n = 4 * 4 = 16.
Calculate the number of beads with at least two different colors:
Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.
Number of beads with at least two different colors = 100 - 16 = 84.
So, in this example, there are 84 beads that contain at least two different colors.
In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.
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What is the slope of a line parallel to the line whose equation is 9x + 3y = -27.
Fully reduce your answer.
Answer:
The slope is -3
Step-by-step explanation:
y=-3x-9
what is the value of x?
Answer:
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
so
70 + 35 + x = 180 add like terms
105 + x = 180 subtract 105 from both sides
x = 75
Answer:
75 degrees
Step-by-step explanation
triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees
The volume V of a ball of radius r is V = 4/3pir^3. Determine to what quantity the amount of gas in a balloon of radius r is proportional. amount of gas is proportional to: What is the constant of proportionality?
The amount of gas in a balloon is proportional to the volume of the balloon, with the constant of proportionality being 4/3π.
The amount of gas in a balloon is proportional to the volume of the balloon. In this case, the volume is given by the formula V = (4/3)πr^3, where r is the radius of the balloon.
To determine the constant of proportionality, we need to find the factor by which the volume changes when the amount of gas increases or decreases. Let's assume the initial volume of the balloon is V1 and the corresponding radius is r1. If the amount of gas increases by a factor of k, then the new volume will be V2 = kV1.
Using the formula for volume, we have (4/3)πr2^3 = k[(4/3)πr1^3]. Canceling out the common factors, we get r2^3 = kr1^3.
Since the radius is directly proportional to the cube root of the volume, we can conclude that the amount of gas in the balloon is directly proportional to the cube of the radius.
The constant of proportionality is k, which represents the factor by which the volume changes when the amount of gas changes. In this case, k can be any positive constant value since the relationship is linear.
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A study is done to determine the attitudes of male university students towards careers. The researcher interviews 100 of the male students enrolled in a first-year course at the university. What is the sample in this situation?
all university students
male university students
the male students taking this course
the 100 male students interviewed
Answer:
I need the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F=∇f. F(x,y,z)=yzexzi+exzj+xyexzk.
Therefore, there is no function f such that F = ∇f.
To determine if the vector field \(F(x, y, z) = yze^xzi + e^xzj + xyexzk\) is conservative, we can check if the curl of F is zero.
The curl of F is given by ∇ × F, where ∇ is the del operator.
\(∇ × F = (d/dy)(xye^xz) - (d/dz)(exz) i + (d/dz)(yzexz) - (d/dx)(exz) j + (d/dx)(e^xz) - (d/dy)(xye^xz) k\)
Evaluating the partial derivatives, we get:
\(∇ × F = (xe^xz + 0) i + (0 - 0) j + (0 - xe^xz) k\\∇ × F = xe^xz i - xe^xz k\\\)
Since the curl of F is not zero, the vector field F is not conservative.
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A radar unit is used to measure the speed of automobiles on an expressway during rush-hour traffic. The speeds of automobiles are normally distributed with a mean of 100 km/hour. Find the standard deviation of all speeds knowing that 3% of the automobiles travel faster than 115 km/hour.
The standard deviation of all speeds is approximately 7.98 km/hour.
To solve this problem, we need to use the properties of the normal distribution. We know that the speeds of automobiles are normally distributed with a mean of 100 km/hour. Let's call the standard deviation of all speeds "s".
We also know that 3% of the automobiles travel faster than 115 km/hour. This means that the speed of these automobiles falls in the top 3% of the distribution.
Using a standard normal distribution table or calculator, we can find the z-score that corresponds to the 97th percentile (since 100% - 3% = 97%). This z-score is approximately 1.88.
We can use the formula for a z-score to find the actual speed of the automobiles that travel faster than 115 km/hour:
z = (x - μ) / s
1.88 = (115 - 100) / s
Simplifying this equation, we get:
s = (115 - 100) / 1.88
s = 7.98
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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The area of a rectangular painting is 5376 cm². If the width of the painting is 64 centimeters, what is its length? (no links)
Answer:
84 cm
Step-by-step explanation:
Area=a, length=l, width=w
\(A=lw\)
If area is 5376 cm², and width is 64 cm,
\(5376=64l\)
Divide each side by 64,
\(l=84\)
So, the length of the rectangle is 84 cm.
Option for the first box are: not valid and not valid Options for the second box: biased and unbiased Options for the third box: appropriate and inappropriate
A valid conclusion is one that naturally follows from informed, formulated hypotheses, prudent experimental design, and accurate data analysis.
If an argument is invalid, then it must have at least one false premise. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid.
A biased sample occurs when the group selected for a statistical study or survey is not random and doesn't properly represent the larger population. This is a result of sampling bias which occurs when the sample of the population is not representative of the population at large.
If an overestimate or underestimate does happen, the mean of the difference is called a “bias.” In more mathematical terms, an estimator is unbiased if: That's just saying if the estimator (i.e. the sample mean) equals the parameter (i.e. the population mean), then it's an unbiased estimator.
Cohort studies are an appropriate study design when: (1) there is good evidence to suggest an association between an exposure and an outcome (perhaps through prior cross-sectional studies); (2) the interval between exposure and development of the outcome is relatively short to minimize loss to follow-up; and (3) the outcome is not too rare (so that the size of the cohort is reasonable).
Hence,
No actual study was done, only observation.
From the above explanation, we can say that
The conclusion drawn from the study is not valid because the sample is Biased.In this instance, an inappropriate study was conducted
Which of the following equations represents the graph shown?
A.)f( x) = - x - 2
B.)f( x) = x + 2
C.)f( x) = - x + 2
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see that the graph crosses the y-axis at y=2.
Hence, our y-intercept should be 2.
Therefore, we can eliminate A.
We also notice that the graph is downwards sloping.
Therefore, our slope is negative.
So, we can eliminate B.
Therefore, our answer must be C.
Answer:
C
Step-by-step explanation:
I have the same question and my answer was right
Consider these functions:
What is the value of f(g(-2))?
A.
-28
B.
-12
C.
12
D.
146
Answer:
f(g(-2)) = 12
Answer: C.
Step-by-step explanation:
f(x) = - 1/2x² + 5x
g(x) = x² + 2
f(g(-2)) =
First, we evaluate g(-2).
g(x)= x² + 2
g(-2)= (-2)² + 2 = 4 + 2 = 6
Now we evaluate f(6).
f(x) = - 1/2x² + 5x
f(6) = - 1/2(6)² + 5(6) = - 1/2(36) + 30 = -18 + 30 = 12
Answer: f(g(-2)) = 12
16) The actual distance from Juan's home to Lake Mimo is 120 miles. The distance on a map is 2.5 inches. What scale could have been used for the map?
Answer: 1/48
Step-by-step explanation:
Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48
Hope this helps!
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
O reduction; 1/2
O enlargement; 2
Oreduction; 2
O enlargement;
1/2
Answer:
enlargement ; 2
Step-by-step explanation:
dilation is change in the size of the figure.
in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.
scale factor = dimension of new shape / dimension of original shape
let's calculate the difference in terms of boxes of both figures to calculate the scale factor,
scale factor = 6/3
thus, in the given dilation we have enlargement of 2
how many feet are equal to 168 inches.
use the foil method to evaluate the expression: left parenthesis 2 plus square root of 3 right parenthesis left parenthesis square root of 3 minus 7 right parenthesis
-5√3 - 11 is value of expression.
What do math Surds mean?
An expression with a square root, cube root, or other root symbol is called a surd. Since the decimals of irrational numbers do not finish or recur, they cannot be expressed properly in decimal form. Surds are used to write irrational numbers precisely.( 2 + √3) (√3 - 7)
First = 2√3
outer = 2(-7) = -14
inner = √3 √3 = 3
last = √3 (- 7)
= 2√3 + (- 14) + 3 + ( - 7√3)
= -5√3 - 11
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The team's engagement score was 5.20 this month. the score has been improving at a rate of 8% per month. what was the score 3 months ago? 1.60 3.95 4.13 4.78 5.12
The score 3 months ago was 4.130.
What is rate of increase?
Rate of increase is defined the change in rate that describes how one quantity changes in relation to another quantity.
Assume the score 3 months ago was x. This means that the above can be expressed as:
Current score = x × ( 1 + rate) ^ number of months
5.20= x(1+8%)^3
5.20 = x(1.259)
x= 5.20/1.259
x= 4.130
therefore, the score was 4.130
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) On January 2, 2019, Helmkamp Company purchased a $30,000 machine. It had an estimated useful life of 5 years and a residual value of $3,000. What is the amount of depreciation expense for 2020, the second year of the asset's life, using the double declining-balance method? (Round intermediary calculations to two decimal places and your final answer to the nearest dollar. )
The required answer is the double declining-balance method is $9,840.
To calculate the depreciation expense for 2020 using the double declining-balance method, we first need to determine the asset's straight-line depreciation rate. This is calculated by subtracting the residual value from the cost of the asset and dividing by the asset's useful life:
Depreciation base = $30,000 - $3,000 = $27,000
Annual depreciation expense (straight-line) = Depreciation base / Useful life = $27,000 / 5 = $5,400
Next, we need to determine the double declining-balance rate, which is twice the straight-line rate. Therefore:
Double declining-balance rate = 2 x (1 / Useful life) = 2 x (1 / 5) = 0.40 or 40%
Now we can calculate the depreciation expense for 2020:
Depreciation expense (2020) = Book value (beginning of year) x Double declining-balance rate
The book value at the beginning of 2020 would be the cost of the asset minus accumulated depreciation for the first year:
Book value (beginning of 2020) = $30,000 - ($5,400 x 1) = $24,600
As a result, depreciation increases during the initial year of possession and decreases thereafter.
Therefore:
Depreciation expense (2020) = $24,600 x 0.40 = $9,840
So the amount of depreciation expense for 2020, the second year of the asset's life,
using the double declining-balance method is $9,840.
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Stock Standard Deviation Beta A 0.25 0.8 В 0.15 1.1 Which stock should have the highest expected return? A. A because it has the higher standard deviation B. B because it has the higher beta C. Not enough information to determine.
The answer is C. Not enough information to determine.
To understand which stock should have the highest expected return, we need more information about the stocks and the market. Standard deviation and beta are risk measures but do not directly provide information about expected return.
Standard deviation measures the dispersion of a stock's returns, with a higher standard deviation indicating greater volatility. Beta measures a stock's sensitivity to market movements, with a higher beta indicating greater responsiveness to market changes.
While risk and return are often positively correlated, meaning that higher risk investments typically offer higher potential returns, we cannot determine the expected return of these stocks based solely on their standard deviation and beta values. We would need additional information about the stocks, such as their historical returns or dividend yields, as well as the overall market conditions, to make an informed decision on which stock has the highest expected return.
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Carmen opened a bank account with
$450. Each week she deposits $60.
Write an equation to represent this situation.
60x+y=450
y=-60x+450
Oy=60x+450
y=450x+60
britney took a trip to florida over winter break. at the airport, she paid to check 2 bags. since both of her bags were over the weight limit, she had to pay an additional $9 fee for each bag. britney paid a total of $68 to check her bags. which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
The equation representing the cost of a bag is 2x + 18 = $68 and for each bag Britney has to pay $25.
Let us consider 'x' be the total cost representing amount of money to check each bag under the weight limit.
Additional amount to pay per bag for over weight limit is equal to $9
Total amount paid by Britney to check both the bags = $68
Equation represents the cost of bags is equal to :
2x + 2(9) = $68
⇒ 2x + 18 = $68
⇒ 2x = $68 - $ 18
⇒ 2x = $50
⇒ x = $50 / 2
⇒ x = $25
Therefore, the equation which represents the cost of a bag is 2x + 18 = $68 and cost for each bag is $25.
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Multiplying and Dividing by Powers of 10
~~~~~~~~~~~
which of these equivalent to 1,000,000?
A. 10(3)
B. 10(4)
C. 10(5)
D. 10 (6)
Answer:
10(6)
Step-by-step explanation:
Hope it's right.....
Mr. Moore has a rectangular prism shaped planter box to grow herbs inside his house. The dimensions of the planter box are 4. 5 feet long, 2 feet wide, and 1. 5 feet tall. How any cubic feet of soil does Mr. Moore need in order to fill the planter box
Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.
To calculate the volume of the rectangular prism planter box, we need to multiply the length, width, and height of the box.
Volume = length x width x height
V = 4.5 ft x 2 ft x 1.5 ft
V = 13.5 cubic feet
Therefore, Mr. Moore needs 13.5 cubic feet of soil to fill the planter box.
It is important to note that the volume of the box represents the amount of space inside the box and does not take into account any obstructions or irregularities that may be present inside the box.
Thus, the actual amount of soil required may be slightly different from the calculated value. Additionally, it is always a good idea to add some extra soil to account for settling and to ensure that the planter box is completely filled.
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