IJ
How?
In triangle GHJ <H is right angle
So GJ is the hypotenuse.Now
in triangle HIJ
<H=90°IJ is the hypotenuse
So option A is correct
The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is, 'JI'.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
⇒ Δ GHJ ≈ Δ HIJ
By the figure, we have;
In ΔGHJ, Side GJ is opposite side of the right angle.
And, In Δ JHI, Side JI is opposite side of the right angle.
Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.
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A survey of the 12th grade students at gaffigan high school found that 84% of the seniors have their driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver’s license?.
The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.
To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.
Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).
We are given the following information:
P(A) = 84% = 0.84 (probability of having a driver's license)P(B) = 16% = 0.16 (probability of taking the bus every day)P(A ∩ B) = 14% = 0.14 (probability of having a driver's license and taking the bus every day)The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).
Substituting the given values, we have:
P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667
To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.
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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.
Explanation:To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.
We can use the formula:
P(A|B) = P(A and B) / P(B)
where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.
In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.
Plugging in the values into the formula:
P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)
P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667
To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.
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Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?
Answer:
68 miles per hour. This is the right answer.
Step-by-step explanation:
the bottom-up approach to metrics yield the most easily obtainable metrics however many metrics collected in this approach may not be suitable for top-management. true or false
The statement ''The bottom-up approach to metrics yield the most easily obtainable metrics however many metrics collected in this approach may not be suitable for top-management.'' is true because the bottom-up approach to metrics focuses on collecting data and metrics at lower levels within an organization, such as individual departments or teams.
These metrics are typically more operational and task-oriented, providing detailed insights into specific areas of the business.
However, while the bottom-up approach yields easily obtainable metrics, many of these metrics may not be directly relevant or suitable for top-management decision-making.
Top management typically requires high-level, strategic metrics that align with organizational goals and provide a holistic view of performance.
To cater to the needs of top management, a top-down approach is often employed, which involves identifying key strategic metrics and aligning them with organizational objectives.
This approach ensures that the metrics collected are meaningful, actionable, and support informed decision-making at the executive level.
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6x - 3
2x – 1
A
B
10x – 1
#11: X =
1 point
Your answer
#12: AB =
1 point
Your answer
Answer:
Step-by-step explanation:
6x-3+2x-1=10x-18
8x-4=10x-18
18-4=10x-8x
14=2x
X=7
AB = (6*7)-3=39
BC=13
AC=39+13=52 or
AC=(10*7)-18=52
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
need help with vertical angles
Answer:
ok what is thepromblem
Step-by-step explanation:
Answer:
whats up? whats tha questionn :)
Step-by-step explanation:
If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?
Answer:
55 degrees
Step-by-step explanation:
Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.
So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.
calculate a correlation matrix for the following data. data correlations fructosamine group visits.xlsxdownload data correlations fructosamine group visits.xlsx fructosamine number of group visits attended infant birthweight in grams 152 6 3175 173 5 3225 174 4 3350 175 4 3400 176 3 3530 183 2 3540 188 3 3525 192 3 3650 202 2 3600 205 2 3550 210 1 3950 215 2 3325 220 2 4500 258 1 4800 how would you interpret the correlation between the number of group visits attended and fructosamine level? group of answer choices strong moderate weak weak to moderate
A moderately negative correlation between both of them variables is shown by the resultant correlation coefficient of -0.55.
We can construct a correlation matrix to determine the relationship between the number the group visits received and the fructosamine level. This indicates that the fructosamine level typically decreases as the amount of group visits increases.
This could imply that patients can keep better control of glucose, as seen by lower fructosamine levels, by participating in group visits and getting support or education about managing diabetes.
It's crucial to remember that a connection does not necessarily indicate a cause.
Further study is required to show a causal link between the fructosamine level and the number the group visits that participants attended. Overall, the moderately negative correlation points to some potential benefits of group visits for treating diabetes.
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How would you write the phrase below as an algebraic
expression?
3 decreased by a number times 2
O 3x+2
3-2x
2x-3
O 2(3)-x
How would you write the phrase below as an algebraic expression?
3 decreased by a number times 2
3x+2
3-2x
2x-3
2(3)-x
A water tank is filled with a hose. The table shows the number of gallons of water in the tank compared to the number of minutes the tank was
being filled. The line of best for this data is g = 9m - 0.17.
Answer:391837738:646929:7473
Step-by-step explanation:
I’m doing it too but the answers 3&&
405 gallons of water in the tank in 45 minutes.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that A water tank is filled with a hose.
The table shows the number of gallons of water in the tank compared to the number of minutes the tank was
being filled.
The line of best for this data is g = 9m - 0.17.
We need to find when it is 45 minutes.
We have to put m value as 45 to find the number of gallons
g=9(45)-0.17
g=405-0.17
g=404.83
Hence, 405 gallons of water in the tank in 45 minutes.
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Choose the correct simplification of the expression (c4)3. a. c-1 b. c7 c. c12 d. c64
The correct simplification of the expression is c12 (option c).
The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.
Thus, we have:
(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]
Simplifying the exponent 4*3, we get:
c^(4*3) = c^12
Therefore, the correct simplification of the expression is c^12.
Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.
In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.
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Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
In the figure shown, BC is parallel to
AD and AB =
AB = CD. What is the
perimeter of quadrilateral ABCD ?
Answer:
52 units.
Step-by-step explanation:
If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.
Now CE = 6 and as the whole figure is symmetrical about the dashed line,
ED = (26 - 10)/2
= 8.
So by Pythagoras:
CD^2 = 6^2 + 8^2 = 100
CD = 10.
So, as AB = CD,
the perimeter = 10 + 26 + 2(8)
= 52.
The perimeter of the Quadrilateral ABCD is 56
Given that :
BC = 10
AD = 26
AM = ND = (26 - 10) / 2 = 16 / 2 = 8
Using Pythagoras:
AB² = AM² + BM²
AB² = 8² + 6²
AB² = 64 + 36
AB² = 100
AB = √100
AB = 10
AB = CD = 10
THE PERIMETER OF THE QUADRILATERAL WILL BE :
AB + BC + CD + AD
10 + 10 + 26 + 10 = 56
HENCE, The PERIMETER of the quadrilateral ABCD = 56
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What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?
Answer:
5
Step-by-step explanation:
Average rate of change is slope, which is change in y over change in x:
\(\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5\)
The average rate of change of the function is 5.
What is the average rate of change of a function?The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.
The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.
The value of the function for x = 6 is:
f(6) = 5(6) + 2
f(6) = 32
The value of f(x) for x = -2 is:
f (-2) = 5(-2) + 2
f(-2) = -10 + 2
f(-2) = -8
The average rate of change of the function is given by:
( f(6) - f(-2) )/ (6 - (-2))
= ( 32 - (-8))/ (6 + 2)
= ( 32 + 8)/8
= 40/8
= 5
Hence, the average rate of change of the function is 5.
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(x-1/3) x (x+2/5) bang 0
Answer:
The Answer: x^2 + x / 15 - 2 / 15
1-38 At the farmers’ market, two pounds of peaches cost $4.20. How much will five pounds cost?
plz I need help!
Answer:
$10.50
Step-by-step explanation:
If 2 pounds of peaches costs $4.20 then you would divide by 2 to find how much 1 pound costs. After I divided I got $2.10. $8.40 is 4 pounds. If we add one more we get 5. So add $2.10 to $8.40 and you get $10.50. Hope this helps! <3
Consider the following data on two categorical variables. The first variable, x, can take on values A, B, C, or D. The second variable, y, can take on values I or II. The following table gives the frequency with which each combination occurs.
a. Construct a side-by-side bar chart with x on the horizontal axis.
b. Comment on the relationship between x and y.
The we can conclude that there is no association or relationship between the categorical variables x and y.
a. Construct a side-by-side bar chart with x on the horizontal axis.The following side-by-side bar chart with x on the horizontal axis can be constructed:Frequency of the combination of x and yb. Comment on the relationship between x and y.As we can see from the side-by-side bar chart above, there are two bars for each x-value. This indicates that the values of y are different but have an equal frequency for each x-value.Thus, we can conclude that there is no association or relationship between the categorical variables x and y.
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a circular mirror is surrounded by a square metal frame. the radius of the mirror is 2x. the side length of the metal frame is 12x what is he area of the metal frame?
The total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
What is Area?The area is the total area occupied by a flat (2-D) surface or the form of an object.
Create a square on paper by using a pencil.
Two dimensions make it up.
A form's area on paper is the space it takes up.
So, given, a square metal frame encircles a circular mirror.
The mirror has a 4x radius.
The metal frame's side length is 12x.
According to the basic formula for the area of a circle and a square:
area of a circle = pi * radius * radius
Square Area = Side * Side
In the given situation:
Mirror's Area = pi * 4x * 4x = pi * 16x² = 50.24x
Squared mirror's Area = 12x * 12x = 144x²
The area of the metal frame is the sum of the areas of the squared and round mirrors.
Metal frame area = 144x² - 50.24x²
Metal frame size = 93.76x²
Therefore, the total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.
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Correct question:
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 12x. What is the area of the metal frame?
When adding integers with the same sign, you add and ___________.
A. change the sign
B. keep the sign
Mat class
Answer:
Keep the sign.
Step-by-step explanation:
how are the two coin stacks different from each other?
does either stack of coins resemble a geometric solid? if so which stack and what solid?
how do the heights of the two stacks compare?
how do the volume of the two stacks compare? explain your reasoning.
Question 1
You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).
--------------
Question 2
The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.
--------------
Question 3
The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.
--------------
Question 4
The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.
a simple random sample of 100 observations was taken from a large population. the sample mean and the standard deviation were determined to be 1,234 and 160 respectively. what is the standard error of the mean?
The standard error of the mean for the large population is found as 16.
What is termed as the standard error?The standard error (SE) is a statistical sample population's approximate standard deviation.The standard error refers to the disparity between the population's calculated mean and one that is considered known or acknowledged as accurate.The lower the standard error, the more number of data involved in the mean calculation.For the given question;
The data for the large population is given as;
Mean μ = 1,234.standard deviation σ = 160Sample size n = 100The standard error is estimated as;
SE = σ/√n
Put the values.
SE = 160/√100
SE = 160/10
SE = 16
Thus, the standard error of the mean is found as 16.
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Does anyone know the answer to all of these?
Answer:
On the screenshot
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
this is the most simple problem and I can get it right. Please help!
The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction. True or false?
Answer:
The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction.True or false?TrueStep-by-step explanation:
#BrainliestBunchAnswer:
True is the answer.Step-by-step explanation:
#CarryonlearningAdditive inverse of 0.25
Step-by-step explanation:
it's it's a photo hope this will help you
1 pencil and 2 erasers cost $0.14, 2 pencils and 3 erasers cost $0.24 What's the cost of i.) 1 pencil and 1 eraser ii)3 pencils and 5 erasers Use simultaneous equations
The cost of 1 pencil and 1 eraser is $0.10 and 3 pencils and 5 erasers is $0.38.
To clear up this problem, we are able to use simultaneous equations to locate the value of 1 pencil and 1 eraser. Let x be the price of 1 pencil and y be the price of 1 eraser. Then we are able to write equations based totally on the given records:
1x + 2y = 0.14 and 2x + 3y = 0.24
To take away y, we can multiply the first equation by using -3 and add it to the second equation:
-3x - 6y = -0.42 and 2x + 3y = 0.24
-x - 3y = -0.18
Then we can divide both sides by way of -1 to get:
x + 3y = 0.18
To dispose of x, we are able to multiply the first equation through -2 and upload it to the second equation:
-2x - 4y = -0.28 and 2x + 3y = 0.24
-y = -0.04
Then we are able to divide both sides by -1 to get:
y = 0.04
This method that one eraser fee of $0.04. To locate the cost of one pencil, we can replace y in both equations. For instance, the usage of the primary equation:
1x + 2(0.04) = 0.14
1x + 0.08 = 0.14
1x = 0.14
- 0.08 1x = 0.06
This approach is that one pencil is priced at $006.
Therefore, the cost of:
i.) one pencil and one eraser is $0.06 + $0.04 = $0.10
ii.) 3 pencils and 5 erasers is 3($0.06) + 5($0.04) = $0.18 + $0.20 = $0.38.
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Solve inequality 5x+ 3 divided by 2 > 3x+2
Step-by-step explanation:
divide 3÷2 (5x+1.5>3x+2)
move the terms (5x-3x>2-1.5)
2x>0.5
divide by 2
x=0.25
The winning horse in a recent race covered the 5.50 furlong distance in 22.37 seconds. Using the equivalence
statements below, as well as any other conversion factors that you know, respond to the prompt below.
1 mi-8 furlongs- 5,280 ft
1 m-39.37 in
1 in-2.54 cm
hr
Calculate the horse's average speed for the race in units of kilometers per hour ().
*Round your answer to the correct number of significant figures.
The horse's average speed for the race in units of kilometers per hour will be 178.06.
The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.
The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.
We know that the average speed formula is given as,
Average speed = Total distance / Total time
The conversion is given as,
1 furlong = 0.201168 km
5.50-furlong = 0.201168 x 5.5 km
5.50-furlong = 1.10642 km
1 second = 1/3600 hour
22.37 seconds = 22.37/3600 hour
22.37 seconds = 0.0062 hour
The average speed is calculated as,
Average speed = 1.10642 / 0.0062
Average speed = 178.06 km per hour
The horse's average speed for the race in units of kilometers per hour will be 178.06.
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Krubasoe takes a 40-problem test and gets 37 of them correct. What fraction of the problems does she get correct? ANS. ___________________
The fraction of the problems that she gets correct is:
\(\frac{\text{correct problems}}{total\text{ problems}}=\frac{37}{40}\)