Answers
The measure of OH and PK are 10 and 8 respectively
Circle theoremsThese are theorem used to solve for the angles in a circle. From the given diagram, the triangle OHK projects from the chord HK
This makes the triangle an isosceles triangle and since two of their sides are equal, hence OH = OK
Given that OK = 10, hence the measure of OH is 10
Similarly the measure of HP and PK are also equal
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Related Questions
what is the equation of the line
Answers
Answer:
y=-x+3.
Step-by-step explanation:
The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.
In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x. b. change in x per unit change in y. value of y when x value ofx when y 0 n the simple linear regression model, the slope represents the a. value of y when x - (0 b. average change in y per unit change in x. c. value of x when v -0 d. average change in x per unit change in y. 8. In regression analysis, the residuals represent the: a. difference between the actual y values and their predicted values. b. difference between the actual x values and their predicted values. c. square root of the slope of the regression line. d. change in y per unit change in x.
Answers
The correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.
a. The y-intercept in the simple linear regression model represents the value of y when x is zero. It is the point on the y-axis where the regression line intersects.
b. The slope in the simple linear regression model represents the average change in y per unit change in x. It indicates how much y changes on average for every one-unit increase in x.
Therefore, the correct answer for the first question is c. The y-intercept represents the value of y when x is zero.
For the second question, the correct answer is b. The slope represents the average change in y per unit change in x.
In regression analysis, the residuals represent the difference between the actual y values and their predicted values. They measure the deviation of each data point from the regression line. The residuals are calculated as the observed y value minus the predicted y value for each corresponding x value. They provide information about the accuracy of the regression model in predicting the dependent variable.Therefore, the correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.
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the early income of a girl is rupees 150000 the tax free allowance is rupees 100000 if the text for the first rupees 20000 is 12% and for the remaining is 15% how much tax should she pay in a year ?
Answers
Answer:
Rs 6900
Step-by-step explanation:
To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.
The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:
Taxable Income = Early Income - Tax-Free Allowance
Taxable Income = 150,000 - 100,000
Taxable Income = 50,000
Now, we can calculate the tax amount based on the given tax rates:
For the first 20,000 rupees, the tax rate is 12%:
Tax on First 20,000 = 20,000 * 0.12
Tax on First 20,000 = 2,400
For the remaining taxable income (30,000 rupees), the tax rate is 15%:
Tax on Remaining 30,000 = 30,000 * 0.15
Tax on Remaining 30,000 = 4,500
Finally, we add the two tax amounts to get the total tax she should pay in a year:
Total Tax = Tax on First 20,000 + Tax on Remaining 30,000
Total Tax = 2,400 + 4,500
Total Tax = 6,900
Therefore, the girl should pay 6,900 rupees in tax in a year.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Answers
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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what times what equals -12 but the numbers have to equal to 4 when added ?
Answers
Answer:
6 and -2
Step-by-step explanation:
Jorge dilated the segment AB Into segment A’B’ as shown below. Jorge must have used a scale factor of … With a center of dilation at…
Answers
To find the scale factor, let's first find the center of dilation. The dilation center, the vertice of the segment and its image, they all belong to the same line. If we call the center of dilation as O, we know that O, A, and A' are in the same line, and we can affirm the same for O, B, and B' . The center of dilation will be the interception of those two lines.
A and A' both belong to the line x = 6, B and B' both belong to the line y = -2.
This means, our center of dilation is (6, -2).
To find our scale factor, we can use the fact that Lengths of segments
|OA'| and |OA| relate to each other at the scale factor.
\(\begin{gathered} |OA|=8 \\ |OA^{\prime}|=6 \end{gathered}\)\(\frac{|OA^{\prime}|}{|OA|}=\frac{6}{8}=\frac{3}{4}\)Our scale factor is 3/4.
Consider the equation 4 plus v equals 8 minus StartFraction 5 Over 3 EndFraction v.v + 4 + StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction v. v = 8. What is the resulting equation after the first step in the solution?
Answers
Answer: 2v+4=8
Step-by-step explanation:
Answer:
2v+4=8
Step-by-step explanation:
edge.
Expand and simplify 5(2x – 1) + 2(3x – 6)
Answers
the muffin store sells apple, banana, chocolate, lemon, and oatmeal muffins. a) in how many ways can you select 23 muffins if the store has 23 of each of the (five) types?
Answers
By evaluating this combination, we can determine the total number of ways to select 23 muffins from the available types in the muffin store.
If the muffin store has 23 of each of the five types (apple, banana, chocolate, lemon, and oatmeal), there are multiple ways to select 23 muffins.
In this case, the answer can be obtained by considering the concept of combinations and the application of the stars and bars principle.
To find the number of ways to select 23 muffins, we can use the stars and bars principle. The principle states that if we have n identical objects (muffins) and want to distribute them into k distinct groups (types of muffins), there are (n+k-1) choose (k-1) ways to do so.
Applying this principle to our scenario, we have 23 identical muffins that need to be distributed among 5 distinct types. Therefore, the number of ways to select 23 muffins is (23+5-1) choose (5-1), which simplifies to 27 choose 4.
By evaluating this combination, we can determine the total number of ways to select 23 muffins from the available types in the muffin store.
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A triangle has vertices at (3, 3), (6, 15), and (3, -3). What are the coordinates of the orthocenter?
A. (-69, 15)
B. (3.5, 3)
C. (4.2)
D. (9, 0)
Answers
Answer:
The answer would be A) (-69, 15)
Solution:
Finding 1st and 2nd
m = (y2 - y1)/(x2 - x1)
m = (15 - 3 )/(6 - 3)
m = 12/3
y = 4x + b
3 = 3(3)+b
3=9+b
-9 -9
-6=b
Finding 3rd
repeat the above process for 1 and 2, so now use 2 and 3 in the equation.
m = -9/3
m=-3
y=-3x+b
15=-3(6)+b
b=-3
Step 2
Find the unit price of each item, rounding answers to the nearest tenth of a cent. A) 4 lbs for $2.37 b) 15 lbs for $8.57 c) 25 lbs for $13.59 Which bag (4, 15, or 25) is the best deal?
Answers
Answer:
A. $0.59
B. $0.57
C. $0.54
The best deal is 25 lbs for $13.59
Step-by-step explanation:
A) 4 lbs for $2.37
Units price (price per lb) = $2.37 / 4
= $0.5925
Approximately $0.59
b) 15 lbs for $8.57
Price per lb = $8.57 / 15
= $0.5713
Approximately $0.57
c) 25 lbs for $13.59
Price per lb = $13.59 / 25
= $0.5436
Approximately $0.54
Which bag (4, 15, or 25) is the best deal?
The best deal is 25 lbs for $13.59
Find the value of x. *
A. x = 10
B. x = 29
C. x = 23
D. x = 35
Line p is parallel to line q. Both lines are
intersected by transversal t.
Answers
Answer:
B) 29
Step-by-step explanation:
We can get this one of two ways. Alternate interior angles are congruent (same measurement)
3x - 16 = 2x + 13 Subtract 2x from both sides
x - 16 = 13 Add 16 to both sides
x = 29
or
The two angles on top are supplemental. That means that they add to 180
3x - 16 + 4x - 7 = 180 Combine like terms
7x - 23 = 180 add 23 to both sides
7x = 203 Divide both sides by 7
x = 29
Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducted of adults eligible to vote. The respondents were asked in they registered to vote. The data below are based on a total sample of 849. . We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. . The expectation is that registration is lower for the younger age group, so express the difference as P(25 to 34)- P(18 to 24) . We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed. The data are given below. Age Registered Not Registered Total 18 to 24 58 51 109 25 to 34 93 47 140 35 to 44 96 39 135 45 to 54 116 42 158 55 to 6 112 33 145 65 to 74 73 19 92 75 and over 55 15 70 Total 603 245 849 What is the Pooled Variance for this Hypothesis Test? Usc 4 decimal places and the proper rules of rounding. D Question 15 3 pts Small Sample Difference of Means Test. Each year Forbes puts out data on the top college and universities in the U.S. The following is a sample from the top 300 institutions in 2015. The test we will look at is the difference in the average 6-year graduation rates of private and public schools. The das given below. We will assume equal variances. Note: I used the variances for all my calculations 6-Year Graduation Rates by Private and Public Top Universities Private Public Private Public Mean 78.053 77.588 Leaf Leaf Median 76.000 79.000 51 51 648889 61.000 67.000 Min Max 617889 710234 95.000 93.000 71002568 Variance 96.830 67.132 812445 Std Dev 7.840 8.193 91135 81012345 9|13 101 12.607 101 CV Count 19 17 If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.
Answers
The difference between the proportion registered to vote for ages 18 to 24 compared with those 25 to 34 is P(25 to 34)- P(18 to 24). We will do a one-tailed test. Use an alpha level of 05 unless otherwise instructed.
Data is given below:
Age Registered Not Registered Total 18 to 2458510925 to 34934714035 to 44963945 to 541164215855 to 61123314565 to 747319275 and over 551570 Total 603245849 Pooled Variance for this Hypothesis Test:
The formula for pooled variance is given by;
${S_p}^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{(n_1+n_2-2)}$
Where, n1 and n2 are the sample sizes for the 1st and 2nd samples, S1² and S2² are the variances for the 1st and 2nd samples respectively.
Substituting the values in the above formula, we get; ${S_p}^2=\frac{(109-1)S_1^2+(140-1)S_2^2}{(109+140-2)}$
For the Age group 18 to 24, Sample size (n1) = 109, Variance (S1²) = 0.4978.
For the Age group 25 to 34, Sample size (n2) = 140, Variance (S2²) = 0.5696.
Substituting the values, we get; ${S_p}^2=\frac{(108)(0.4978)+(139)(0.5696)}{(247)}$${S_p}^2=\frac{54.8424+79.12944}{247}$${S_p}^2=\frac{133.97184}{247}$Sp² = 0.5423 (approx.).Therefore, the Pooled Variance for this Hypothesis Test is 0.5423 (approx.). Now, considering the second part of the question; If a priori, we thought private schools should have a higher 6-year average graduation rate than public schools, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha. The answer is 'alpha.'Therefore, the conclusion of the hypothesis test for this problem would be to reject the null hypothesis at alpha.
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Which coordinate plane shows the graph of 3x +y> 9?
Answers
Step-by-step explanation:
First we have to turn this from standard form to slope-intercept form.
We'll subtract 3x on both sides to get:
\(y > - 3x + 9\)
Now in order to graph this inequality, you must know that:
9 is the y-intercept (the point where the line crosses the y-axis), and -3 is the slope because it goes down 3 units and to the right 1 unit.The shaded area will be above the line since y is greater.The line will be negative and have a negative slope.The line will be dotted since the sign is greater-than, not greater-than-or-equal-to.(The line will be graphed above for your convenience⤴⤴⤴)
Hope this helps :)
Use context to determine the meaning of the word unabated as it is used in Narrative of the Life of Frederick Douglass, An American Slave. Write your definition of unabated here and tell how you found it.
Answers
The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.
The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."
The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.
By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.
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6.18.54. -
Find the 9th term.
Answers
Answer:
a9=13122
Step-by-step explanation:an=a1rn−1
Substitute in the values of
a1=2 and r=3
an=(2)⋅(3)n−1
Remove parentheses.
an=2⋅3n−1
Substitute in the value of n to find the 9th term.
a9=2⋅3(9)−1
Subtract
1 from 9
a9=2⋅38
Raise 3 to the power of 8.
a9=2⋅6561
Multiply
2 by 6561.
a9=13122
Convert 55 ounces to pounds ?
Answers
55oz converted into pounds is 3.4375 lbs.
Answer:
3.4375 lbs.
Yeah, not being the process... Sorry!
Does anyone know how to do this?
Answers
multiply both sides by 12 to get x by itself and x = 6 cm
8 9 help me plsss free nitro
Answers
Answer:
8. 67 sure 100% so it will be A
9. I am not sure but the answer will be 100 or 120 so it will A or B
Good luck XD
Step-by-step explanation:
HELP PLEASE!!!
How many times larger is the area of the larger rectangle than the area of the smaller rectangle?
9
or
6
Answers
Answer:
9
Step-by-step explanation:
What is the solution to this system?
Answers
The solution of the algebraic equation is (2, 1)
How to determine the solution to the systemFrom the question, we have the following parameters that can be used in our computation:
x + y = 3
x - 2y = 0
In the above equations we can see that
Both equations have different slopes and they are linear equations
This means that they would intersect at a point
From the graph, we have the intersectoon point to be (2, 1)
Hence, the solution is (2, 1)
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A beekeeper found that 3 out of her 150 beehives were empty, What percent of the beehives were empty?
Answers
Answer: 2%
Step-by-step explanation:
In the coordinate plane , quadrilateral ABCD has verticies A(- 2, 3) , B(4, 5); C(10,- 1) and D(8, - 9) Let E , F , G , and H be the midpoints of overline AB; overline BC , overline CD and dot DA , respectively
Answers
This would give us the coordinates for E as (1, 4). Similarly, we can use the same method to find the coordinates for F, G, and H. F would be (7,2), G would be (9,-5), and H would be (3,-6).
The coordinates of E can be found by taking the average of the x and y coordinates of points A and B. This would give us the coordinates for E as (1, 4). Similarly, we can use the same method to find the coordinates for F, G, and H. F would be (7,2), G would be (9,-5), and H would be (3,-6). To find the coordinates for these points, we use the formula \((x1 + x2)/2, (y1 + y2)/2\). For example, to find the x coordinate for E, we would use (-2 + 4)/2 = 1, and for the y coordinate of E, we would use (3 + 5)/2 = 4. We can then use this formula to find the coordinates for all of the midpoints.Step 1: Find coordinates of E, F, G, and H E: (1, 4) F: (7, 2) G: (9, - 5) H: (3, - 6) Step 2: Calculate the perimeter of the quadrilateral ABCD,Perimeter = |AB| + |BC| + |CD| + |DA = |(-2, 3) - (4, 5)| + |(4, 5) - (10, -1)| + |(10, -1) - (8, -9)| + |(8, -9) - (-2, 3)| = (6 + 14 + 18 + 10) = 48
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Use the number line below to determine which of the following answer choices has statements that are all true.
O Point A represents -4, Point D represents
4
Point A represents -4, Point D represents
and
> -4
Point A represents -4, Point D represents and
○ Point 4 represents 4, Point D represents 12, and 4 >
ad 4 >
12/
<-4
12/12 , and -4 <1/
Answers
By using the number line above, the answer choice which has statements that are all true include the following: A. Point A represents -4, Point D represents 1 3/4, and 1 3/4 > -4.
What is a number line?In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
By critically observing the number line, the first point A would be located at -4 and the open arrow circle should point to the left because it represent the less than inequality symbol.
On the other hand, the last point A would be located at 1 3/4 and the open arrow circle should point to the right because it represent the greater than inequality symbol. Therefore, we have:
Point D > Point A
1 3/4 > -4
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y = 4x - 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(-2, 2)
(2,-2)
Answers
Answer:
x= 3
y=2
Step-by-step explanation:
Let's solve your equation step-by-step.
2=4x−10
Step 1: Flip the equation.
4x−10=2
Step 2: Add 10 to both sides.
4x−10+10=2+10
4x=12
Step 3: Divide both sides by 4.
4x/4=12/4
x=3
Answer:
since y=2 substitute y into y=4x-10
2=4x-10
2+10=4x
12=4x
Divide both sides by 4
12/4=4x/4
x=3
Therefore the answer is (2,3)
Checky= 4x-10
2= 4×3-10
2= 12-10
2=2
Graph y=15x+3.
Question 2
Identify the x-intercept.
x-intercept:
Answers
Answer:
y=19
Step-by-step explanation:
min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
Answers
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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there are 15 freshmen and 18 sophomore students in a classroom. we randomly select two students. suppose the students were selected with replacement. a) what is the probability we get 2 freshmen? suppose the students were selected without replacement. b) what is the probability we get 2 sophomores? be sure to include at least 4 decimal places, if needed.
Answers
The probability in each case scenario as described in the task content are as follows;
a) P(a) = 7/16
b) P(b) = 7/16
c) P(c) = 7/16
d) P(d) = 7/16
What is the probability in each case scenario as given in the task content?Given: There are 14 freshmen and 18 sophomore students and the students were selected with replacement.
a) The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;
P(a) = 14/32 = 7/16.
b) The probability that the 2nd student was a
freshman if the first student was a sophomore is;
P(b) = 14/32 = 7/16.
c). The required probability that the 2nd student is also a freshman if the first student was a freshman since the selection is with replacement is simply;
P(c) = 14/32 = 7/16.
d) The probability that the 2nd student was a
freshman if the first student was a sophomore is;
P(d) = 14/32 = 7/16.
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I NEED HELP QUICKLY for both X
Answers
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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define Multiplication Property Of equality
Answers
Answer:
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. Example 1 : Lisa and Linda have got the same amount of money.
Step-by-step explanation: