Answer:
1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”
2. this is the division property of equality -"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal". so, in this situation we want to isolate x which means dividing both sides by 20. This will keep both sides equal just more simplified ( before, it was 20 and 100, after dividing both sides by 20 it is 1 and 5 which is the same ratio therefore they are still equal)
3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.
4. this is the symmetric property of equality - "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY
5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.
6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states that if
x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.
i hope this helped! im not that good at explaining so if u have more questions lmk!
If a coin is randomly chosen from a jar that contains exactly `4` pennies, 3 nickels, and 8 dimes, what is the probability that the coin will NOT be a penny or a nickel?
Answer:
53.33%
Step-by-step explanation:
There are a total of 4 + 3 + 8 = 15 coins in the jar. If we want to find the probability that the coin will not be a penny or a nickel, we need to find the number of coins that are not pennies or nickels, and divide that by the total number of coins in the jar.
The number of coins that are not pennies or nickels is 8 dimes. Therefore, the probability that the coin will not be a penny or a nickel is:
8 / 15
This simplifies to:
0.5333 or 53.33%
Therefore, the probability that the coin will NOT be a penny or a nickel is approximately 0.5333 or 53.33%.
Find the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3
Answer:what
Step-by-step explanation:what does this mean
it takes a girl 44 minutes to deliver the newspapers on her route; however, if her brother helps, it takes them only 22 minutes. how long would it take her brother to deliver the newspapers by himself?
It would take the girl's brother 44 minutes to deliver the newspapers by himself.
Let's assume that the girl's brother takes x minutes to deliver the newspapers by himself.
If the girl takes 44 minutes to deliver the newspapers alone, and when her brother helps, they finish in 22 minutes, we can set up the following equation based on the work rates:
1/44 + 1/x = 1/22
This equation represents the combined work rate of the girl and her brother when they work together. The left side of the equation represents the rate at which they can complete the task together, and the right side represents the reciprocal of the time it takes them (in minutes) to finish the task.
To solve for x, we can simplify the equation:
1/x = 1/22 - 1/44
Taking the least common denominator, we get:
1/x = (2 - 1) / 44
1/x = 1/44
Cross-multiplying, we have:
x = 44
Therefore, it would take the girl's brother 44 minutes to deliver the newspapers by himself.
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Two sets of data are each symmetrical and do not contain outliers. Which measures of center and
variability would be most effective to use when making comparisons between the two data sets?
A.
mean and MAD
B. mean and IQR
C. median and MAD
D. median and IQR
Solution:
As, two set of data are each symmetrical and do not contain outliers.
To find the center , the best way is to find Median of data set.Median of Data set is the mid value of Data that is center of Data.
As, you have to find variability , mean can't measure variability. Mean deviation would have been better option.
So, MAD=Median absolute Deviation , would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.
So, Option (C) median and MAD, would be best way to compare the two given data set.
4. you are looking for a deep spot to take a swim in a local river. the width of the river is about the same all along its length, but there are places where the water flows quickly and places where it flows slowly. which is a better choice for a swim?
The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:
v=Q/A,
where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
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pls help it is for math class and im stuck
Answer:
D is the answer.......
which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).
Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.
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Complete question:
See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
a) boxplot C
b) boxplot B
c) boxplot A
please help me factor 1/2x + 1/2
Answer:
1/2(x + 1)
Step-by-step explanation:
1/2x + 1/2
1/2(x + 1)
Directions: For each of the following arguments, label which statement is the conclusion and which is a premise. Remember, there will always be only one conclusion, but there may be multiple premises.
Sample Problem: Cats often shed all over the house. Furthermore, they walk all over your food surfaces with feet they had in litter boxes. Therefore, you should not get a cat.
Sample Answer:
Conclusion: You should not get a cat.
Premise 1: Cats often shed all over the house.
Premise 2: They walk all over your food surfaces with feet they had in litter boxes.
Problems for you to answer:
I deserve an A in the class. I have written all the essays, and I’ve turned in all my other assignments on time.
Scientific discoveries are continually debunking religious myths. Further, science provides the only hope for solving the many problems faced by humankind. Hence, science provides a more accurate view of human life than does religion.
If we don't consolidate city and county school systems, the city school system will continue to deteriorate, producing a large number of young adults who are not equipped to find work that will keep them out of poverty. We must not allow this disastrous social situation to occur, so we must consolidate city and county schools.
The final statement that summarizes the main point or claim being made, while the premises are the supporting statements or evidence provided to support the conclusion.
Let's identify the premises and conclusion for each of the given arguments:
Argument 1:
Premise 1: I have written all the essays.
Premise 2: I have turned in all my other assignments on time.
Conclusion: I deserve an A in the class.
Argument 2:
Premise 1: Scientific discoveries are continually debunking religious myths.
Premise 2: Science provides the only hope for solving the many problems faced by humankind.
Conclusion: Science provides a more accurate view of human life than does religion.
Argument 3:
Premise 1: If we don't consolidate city and county school systems, the city school system will continue to deteriorate, producing a large number of young adults who are not equipped to find work that will keep them out of poverty.
Premise 2: We must not allow this disastrous social situation to occur.
Conclusion: We must consolidate city and county schools.
In each argument, the conclusion is the final statement that summarizes the main point or claim being made, while the premises are the supporting statements or evidence provided to support the conclusion.
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2. The diagram shows a circle inside a rectangle. Work out the shaded region,
Give your answer to 3 significant figures.
8 cm
17 cm
32 cm
Answer:
342.938 cm²
Step-by-step explanation:
Area of shaded region = area of rectangle - area of circle
= (length*width) - (π*radius²)
= (32*17) - (π8²)
= 544 - 201.06192983
= 342.93807017 ≈ 342.938 cm²
Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?
Answer:
22.72
Step-by-step explanation:
45.45 divided by 2 is 22.725
Answer:
$14.23
Step-by-step explanation:
$45.45 - $16.99 ( pants ) = $28.46
$28.46 / 2 (since 2 shirts)
$14.23 for both shirts!
Sofia has 16 hours to paint a living room and 2 bedrooms. She spends 7 hours painting the living room.
Write and solve an inequality to find how much time x she can spend on each bedroom if she splits her tim
Answer:
4.5
Step-by-step explanation
She has already spend 7 hours so she will have 9 hours now so you divide 9 divided by 2.
1/3 (6y - 9) = -2y + 13
Answer: 3,75 ( 15/4)
Step-by-step explanation:
1/3 (6y - 9) = -2y + 13
6y/3 - 9/3 = - 2y + 13
2y - 2 = - 2y + 13
2y + 2y = 13 + 2
4y = 15
y = 15/4
y = 3,75
according to a gallup poll, it is reported that 81% of americans donated money to charitable organizations in 2021. if a researcher were to take a random sample of 6 americans, what is the probability that: a. exactly 5 of them donated money to a charitable cause?
The probability that exactly 5 out of 6 randomly selected Americans donated money to a charitable cause in 2021 is approximately 0.3931, or 39.31%.
The probability of a single American donating money to a charitable organization in 2021 is given as 81%. Therefore, the probability of an individual not donating is 1 - 0.81 = 0.19.
To calculate the probability of exactly 5 out of 6 Americans donating, we can use the binomial probability formula:
P(X = k) = (n C k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) represents the probability of exactly k successes (donations).
(n C k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
p is the probability of success (donation) in a single trial.
(1 - p) represents the probability of failure (not donating) in a single trial.
n is the total number of trials (sample size).
In this case, n = 6, k = 5, p = 0.81, and (1 - p) = 0.19.
Plugging in these values, we can calculate the probability:
P(X = 5) = (6 C 5) * (0.81)^5 * (0.19)^(6 - 5)
P(X = 5) = 6 * (0.81)^5 * (0.19)^1
P(X = 5) = 0.3931
Therefore, the probability that exactly 5 out of 6 randomly selected Americans donated money to a charitable cause in 2021 is approximately 0.3931, or 39.31%.
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hi does 1/6 -3 √7, -6/5 come first when the numbers are listed from least to greatest
Answer:
I think Yes im not exactly sure
Step-by-step explanation:
Suppose that nâ¡0 and n â¡ 1. Show that the substitution v = y^1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equationdv/dx+(1-n)P(x)v(x) = (1 â n)Q(x).
The substitution v = y^1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x) is shown below.
An equation is in the form
dy/dx +P(x)y=Q(x)yⁿ, where P and Q are functions of x alone or constants, is called Bernoulli's equation.
The substitution using \(v = y^{1-n}\)
Differentiate both side with respect to 'x'
\(v^{'} = (1-n)y^{-n}y^{'}\)
\(\frac{dy}{dx} = \frac{1}{1-n} y^{n}v^{'}\)
we get, \(\frac{1}{1-n} y^{n}v^{'}\) + P(x)y = Q(x)yⁿ
= \(v^{'} + (1-n)P(x)y^{1-n} = (1-n)Q(x)\)
using \(v = y^{1-n}\)
The given equation is well expressed as:
\(v^{'} + (1-n)P(x)v = (1-n)Q(x)\)
or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)
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If the general solution of a differential equation is y(t)=Ce^(-2t)+15, what is the solution that satisfies the initial condition y(0)=9?
y(t)=________
The solution to the differential equation y(t) = Ce^(-2t) + 15 that satisfies the initial condition y(0) = 9 is: y(t) = -6e^(-2t) + 15.
To find the solution that satisfies the initial condition y(0) = 9, we substitute t = 0 into the general solution of the differential equation y(t) = Ce^(-2t) + 15:
y(0) = Ce^(-2(0)) + 15
9 = Ce^0 + 15
9 = C + 15
Now, we can solve this equation for C:
C = 9 - 15
C = -6
Therefore, the value of the constant C is -6.
Now that we have determined the value of C, we can substitute it back into the general solution to obtain the particular solution that satisfies the initial condition:
y(t) = Ce^(-2t) + 15
y(t) = -6e^(-2t) + 15
This equation represents the unique solution to the differential equation that meets the given initial condition. The term -6e^(-2t) represents the complementary solution, which accounts for the general behavior of the differential equation, while the constant term 15 represents the particular solution that satisfies the initial condition.
It's important to note that the exponential term e^(-2t) decays as t increases, so the value of y(t) approaches the constant term 15 as time goes to infinity. The negative coefficient -6 reflects the decreasing nature of the exponential term, causing y(t) to approach the steady-state value of 15 from above.
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I need help with number 4, thank you
Answer:
126Step-by-step explanation:
In number 4 the given figure is a parallelogram,
So,
Base of the parallelogram = 14
Height of the parallelogram = 9
Therefore,
Area of the parallelogram = Base × Height
= 14 × 9
= 126
Hence, area of figure in question no. 4 is 126 (Ans)
Regina drew a triangle with vertices at ( 1 , 2 ) , ( 3 , 3 ) , and ( 4 , 1 ) . She slides the triangle 2 units down to create an image. What are the vertices of the image?
A. ( 1 , 0 ) , ( 3 , 1 ) , and ( 4 , − 1 )
B. ( 1 , 4 ) , ( 3 , 5 ) , and ( 4 , 3 )
C. ( − 1 , 2 ) , ( 1 , 3 ) , and ( 2 , 1 )
D. ( 3 , 2 ) , ( 5 , 3 ) , and ( 6 , 1 )
Answer:
A) (1,0), (3,1), and 4,-1)
Step-by-step explanation:
subtract 2 from all of the y-values
(1,0), (3,1), and (4,-1)
So it's A.
Answer:
The answer is A.
Step-by-step explanation:
It would be best to graph this yourself and move each plot down 2 units. Your answer would be the location of the plots after moving them.
please help asap! i dont know what do to here
Answer:
y = - x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x ← is in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c substitute (- 8, 2 ) into the partial equation
2 = 8 + c ⇒ c = 2 - 8 = - 6
y = - x - 6 ← equation of parallel line
What is the sum of the equation 3√50 + 4√18?
A. 27√2
B. 6√5 + 8√3
C. 27√4
D. 7√68
Answer:
To add 3√50 and 4√18, we first simplify the radicals:
3√50 = 3√(252) = 35√2 = 15√2
4√18 = 4√(92) = 43√2 = 12√2
Now, we can add these expressions:
3√50 + 4√18 = 15√2 + 12√2 = 27√2
Therefore, the answer is A. 27√2.
the cost of a 12-ounce bag of cashews is $5.86 what is the cost per ounce of the cashews to the nearest penny
Answer:
Answer:5.86÷12=0.5 in nearest penny
Step-by-step explanation:this number kind of problem u solve it using inversely proportional method one one quantity is decreasing which is the ounce
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
solve the systems of equations through elimination, show work
3+2x-y=0
-3-7y=10x
Answer: x=-1 y=1
Step-by-step explanation:
solve y in 3+2x-y=0
y=3+2x
sub y=3+2x into -3 -7y=10x
-14x- 24= 10x
solve x in -14x-24=10x
x= -1
sub x= -1 into y =3+2x
y=1
so therefore x= -1 and y=1
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
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Find the Measure of Angle D.
Round to one decimal place if necessary. If your answer
is correct you will see an image appear on your screen.
The measure of angle D is 90 degrees
How to determine the valueThe sum of the interior angle of a parallelogram is equivalent to 360 degrees
From the information given, the measure of the angles are;
17x + 5, 13x + 7 + 118 and 80
Equate the angles to the sum of interior angles
17x + 5 + 13x + 7 + 118 + 80 = 360
collect the like terms, we get;
30x = 360 - 210
substract the like terms
30x = 150
Make x the subject
x = 5
Hence, the angle is 90 degrees
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The measure for the angle m∠D of the quadrilateral CDEF is equal to 90°
How to evaluate for angle m∠D of the quadrilateralFor any quadrilateral, the sum of its four interior angles is equal to 360°, hence we shall calculate for the angle m∠D by first finding the value of x as follows:
17x + 5 + 13x + 7 + 118° + 80° = 360°
30x + 210° = 360°
30x = 360° - 210° {subtract 210° from both sides}
30x = 150°
x = 150°/30
x = 5
m∠D = 17(5) + 5 = 90°
Therefore, the measure for the angle m∠D of the quadrilateral CDEF is equal to 90°.
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⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️
Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Darrin made t two-point basketball goals and one three point goal. if he made a total of 15 points, how many two point goals did he make?
Let's assume Darrin made x two-point goals. Each two-point goal contributes 2 points to the total score. Since he made t two-point goals, the total number of points contributed by the two-point goals is 2t.
Darrin also made one three-point goal, which contributes 3 points to the total score.
The total score is given as 15 points. So we can write the equation:
2t + 3 = 15
Simplifying the equation, we subtract 3 from both sides:
2t = 12
Finally, dividing both sides by 2, we find:
t = 6
Therefore, Darrin made a total of 6 two-point goals.
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Prove the triangle inequality, which states that if x and y are real numbers, then |x| + |y| ≥ |x + y| (where |x| represents the absolute value of x, which equals x if x ≥ 0 and equals −x if x < 0).
The triangle inequality is proved. It states that the absolute value of the sum of two real numbers is always greater than or equal to the sum of their absolute values. This inequality is important because it helps us to understand the relationship between the lengths of the sides of a triangle and the length of its hypotenuse.
The triangle inequality is a fundamental concept in mathematics, and it is used to prove many other theorems and inequalities. It states that if x and y are real numbers, then |x| + |y| ≥ |x + y| (where |x| represents the absolute value of x, which equals x if x ≥ 0 and equals −x if x < 0).
To prove the triangle inequality, we can use the following steps:
1. Start with the definition of absolute value: |x| = x if x ≥ 0 and |x| = −x if x < 0.
2. Use this definition to write |x + y| in terms of |x| and |y|: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = −(x + y) if x + y < 0.
3. Use the fact that |x| ≥ 0 and |y| ≥ 0 to write |x + y| in terms of |x| and |y|: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = |x| + |y| if x + y < 0.
4. Combine the two cases to get the triangle inequality: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = |x| + |y| if x + y < 0, so |x + y| ≥ |x| + |y| in all cases.
Therefore, the triangle inequality is proved. It states that the absolute value of the sum of two real numbers is always greater than or equal to the sum of their absolute values. This inequality is important because it helps us to understand the relationship between the lengths of the sides of a triangle and the length of its hypotenuse.
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What is the slope of the line?
As soon as possible please !!
Answer:
\(m=\frac{-8}{5}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-1, 4)
Point (4, -4)
Step 2: Find slope m
Substitute [Slope Formula]: \(m=\frac{-4-4}{4+1}\)Subtract/Add: \(m=\frac{-8}{5}\)