From the given graph we get, the coordinates of original P are (-6,-6).
So initial x=-6 and y=-6
Also from the graph we can see that the coordinates of transformed point P' are (-1,3)
So now, (-1,3) = (-6+5,-6+9) = (x+5,y+9)
Hence the first and second box are 5 and 9 respectively.
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Question Which of the following r-values represent the weakest linear correlation between independent (x) and dependent (y) variables? Select the correct answer below: -0.904 0 -0.312 O 0.558 0.870
The r - values that represents the weakest linear correlation is ;
-0.312 is the weakest negative correlation and 0.558 is the weakest positive correlation.
Given,
The r- values;-
- 0.904, -0.312, 0.558, 0.870
We have to find the r - values that represents the weakest linear correlation;
r- values represents correlation between two variables. The r- value lies from -1 to 1.
If r = -1 or close to -1, then it represents strong negative correlation.If -1 < r < 0 or close to -0.5, then it represents weak negative correlation.If r=0 or near to 0, then it represents no correlation.If 0 < r < 1 or close to 0.5, then it represents weak positive correlation.If r=1 or close to 1, then it represents strong positive correlation.So, here.
-0.904 is close to -1, so it represents strong negative correlation.
-0.312 is close to -0.5, so it represents weak negative correlation.
0.558 is close to 0.5, so it represents weak positive correlation
0.870 is close to 1, so it represents strong positive correlation.
Therefore,
The r - values that represents the weakest linear correlation is ;
-0.312 is the weakest negative correlation and 0.558 is the weakest positive correlation.
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Answer:
-0.312
Step-by-step explanation:
−0.312
The size of the correlation, r indicates the strength of the linear relationship between x and y. Values of r which are closer to −1 or to +1 indicate a stronger linear relationship between x and y.
A regular polygon is shown with one of its angle measures labeled a.
5 sided regular polygon with one angle labeled a
If m∠a = (3z + 72)°, find the value of z.
z = 9
z = 12
z = 24
z = 32
Answer:
B) z = 12===========================
Sum of interior angles of a regular polygon is:
S = 180(n - 2), where n- sides of polygonFind the measure of interior angle a:
a = S/5 = 180(5 - 2)/5 = 540/5 = 108Equate the values of angle a and solve for z:
3z + 72 = 1083z = 108 - 723z = 36z = 12Correct choice is B.
Answer:
z = 12
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.4 cm}\underline{Interior angle of a regular polygon}\\\\$\dfrac{180^{\circ}(n-2)}{n}$\\\\where $n$ is the number of sides.\\\end{minipage}}[/tex]
Given that the regular polygon has 5 sides, then the measure of one interior angle is:
[tex]\implies \dfrac{180^{\circ}(5-2)}{5}=\dfrac{180^{\circ}(3)}{5}=\dfrac{540^{\circ}}{5}=108^{\circ}[/tex]
If "a" is the measure of one angle, and m∠a = (3z + 72)° then:
[tex]\implies m \angle a=108^{\circ}[/tex]
[tex]\implies (3z+72)^{\circ}=108^{\circ}[/tex]
[tex]\implies 3z+72=108[/tex]
[tex]\implies 3z+72-72=108-72[/tex]
[tex]\implies 3z=36[/tex]
[tex]\implies \dfrac{3z}{3}=\dfrac{36}{3}[/tex]
[tex]\implies z=12[/tex]
help find the area im putting a lot of points up
i love math
1) John noticed that the amount he was paying for his lunch was a rearrangement of the digits of the amount of money he had in his pocket, and that the money he had left over was yet another rearrangement of the same three digits! How much money did John start with?
2) A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
There doesn't seem to be enough information to answer problem 1.
I would ask your teacher for clarification.
=============================================
Problem 2
Answer: 47 cards--------------------------
Explanation
x = number of cards, which is some positive whole number.
Your teacher has provided these facts:
If I deal among four people, three cards remain. If I deal among three people, two cards remain.If I deal among five people, two cards remain.which I'll call "fact 1", "fact 2", "fact 3" in that order.
For now I'll focus on fact 3.
Recall that multiples of 5 either end with 0 or 5. Example: 25 is a multiple of 5, and so is 60.
Fact 3 says that we get a remainder 2 when dividing by 5. Therefore, x must be something like 25+2 = 27 or 60+2 = 62. I added 2 to each previous example mentioned earlier.
In short, the value of x must end with 2 or 7.
-------------------
Now focus on fact 1.
The multiples of 4 are {4, 8, 12, ...} all of which are even since 2 is a factor of each.
Add remainder 3 to each item to get {7, 11, 15, ...} and it should be fairly obvious that all of these items are odd.
What does this mean? It means we know 100% that x ends with 7 in the units digit. If x has 2 in the units digit, then x would be even, but it's not in the set {7, 11, 15, ...}
So this is very useful info that x ends with 7.
x could be any of these: {7, 17, 27, 37, ...}
-------------------
We've looked at facts 1 and 3 so far. The only thing left is fact 2.
List the multiples of 3 to get
{3, 6, 9, 12, 15, 18, ...}
then add on the remainder 2 giving this new updated set
{5, 8, 11, 14, 17, 20, ...}
We see that 17 is in that set which fits the criteria of "the number ends with 7". So it's possible that 17 is the answer.
But 17/4 = 4 remainder 1 which doesn't fit fact 1 (since we want remainder 3 instead).
But we can add on multiples of 3*5 = 15 to extend to this new set of
{17, 32, 47, 62, 77, ...}
then erase stuff that ends with 2 to get
{17, 47, 77, ...}
Through guess and check, 47 will work out as shown in the next section below. Therefore, 47 is the final answer.
-------------------
Check:
47/4 = 11 remainder 347/3 = 15 remainder 247/5 = 9 remainder 2We get the proper remainders mentioned earlier, so the answer has been confirmed.
-------------------
Side note: The convention for problems like this is to use the Chinese Remainder Theorem. However, I decided not to use it because I wasn't sure if your teacher has covered modulo arithmetic yet or not. If s/he has covered it, then I recommend using that method instead of what I posted above. It's a much more efficient option.
Marcelo was practicing penalty shots during soccer practice. Marcelo made 10 out of 25 of the shots he attempted. If Marcelo missed 30 shots, how many total shots did he take?
Marcelo will have to take 50 shots in order to miss 30 shots because the ratio of shots to missed shots is 5:3
Proportions and RatiosA ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
To solve this question, we can simply compare the ratio or proportion of shots to the number of missed shots.
In every 25 shots taken, he made 10 shots. This implies he lose 15 shots.
So, for every 25 shots, he lost 15 shots.
How many shots did he take to miss 30 shots.
25 shots = 15 missed shots
x shots = 30 missed shots
crossed multiply both sides and solve for x
x = (30 * 25) / 15
x = 50 shots.
Marcelo took 50 shots.
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is 23/25 greater than or less than9/10
23/25 is greater than 9/10
23/25=92/100
9/10=90/10
92>90
A washing machine is priced at $450. A man buys the washing machine on HP according to the following terms: A deposit of 15% and the remaining to be paid in monthly
installment over 2 years at a simple interest rate of 10 2 % per annum. Calculate his monthly income
The monthly installment to be paid is $17.85.
Given:
A washing machine is priced at $450. A man buys the washing machine on HP according to the following terms: A deposit of 15% and the remaining to be paid in monthly installment over 2 years at a simple interest rate of 12 % per annum.
Remaining amount = 450 - 450*15/100
= 450 - 9*15/2
= 450 - 67.5
= $382.5
1 month amount = 382.5 + 382.5*0.12 / 24
= 428.4/24
= $17.85.
Therefore the monthly installment to be paid is $17.85.
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8th grade math! (Picture attatched)
The equations that represent the left side, right side, top side and bottom side are y = 3x+2, y = 3x-10, y = 5 and y = -1 respectively
How to write the equation that represents each side of the figure?The slope-intercept form of the equation of a line is y =mx+c,
where m is the slope and c is the y-intercept
slope(m) = y2-y1 / x2-x1
Left side
The line moves from point 1 (-1, -1) to point 2 (1,5)
x1 = -1, y1 = -1 and x2 = 1, y2 = 5
Slope(m) = 5-(-1) / 1-(-1) = 6/2 = 3
Using the equation of a line for 2 points:
y-y1 = m(x-x1)
y-(-1) = 3(x-(-1))
y+1 = 3(x+1)
y+1 = 3x+3
y = 3x+2
Right side
The line moves from point 1 (3, -1) to point 2 (5,5)
Slope(m) = 5-(-1) / 5-3 = 6/2 = 3
y-(-1) = 3(x-3)
y+1 = 3x -9
y = 3x-10
Top side
y = 5
Bottom side
y = -1
Therefore, equation for the left side : y = 3x+2, equation for the right side: y = 3x-10, equation for the top side: y = 5 and equation for the bottom side: y = -1
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$15 a share. A month later, it was
selling at $27 a share. What is
the percent increase?
Answer: 0.555555556
Step-by-step explanation:
15/27=0.555555556
Checking work by plugging it in: 27x0.555555556=15
======================================================
Work Shown:
a = old value = 15
b = new value = 27
c = change in values
c = b-a
c = 27-15
c = 12
The positive c value tells us that we have an increase.
Then divide over the starting value a = 15
c/a = 12/15 = 0.80
Move the decimal point two spots to the right to go from 0.80 to 80%
Or multiply 0.80 with 100% to get 0.80*100% = 80%
We have a percent increase of 80%
-------------------
Check:
80% of 15 = 0.80*15 = 12
If the stock increases by 80%, then it has increased by $12 to go from $15 a share to 15+12 = 27 dollars a share. This confirms the answer.
A slight shortcut would be to say 1.80*15 = 27
The multiplier 1.80 represents an increase of 80% since 100% + 80% = 1 + 0.80 = 1.80
Find the sale price when the original price is $37. 00 and the discount rate is 44%. A. $20. 72 c. $35. 37 b. $16. 28 d. $1. 63.
Answer:
$16.28
Step-by-step explanation:
44.%
Move the decimal up by two numbers to get a whole number, .44
and multiply .44 by $37
A cylinder has a volume of 1 and two ninths in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
7 twelfths inches
7 sixths inches
7 fourths inches
7 halves inches
The height of a cylinder is D. 7 halves inches
How to calculate the height?The volume of a cylinder is calculated as:
V = πr²h
r = radius = 1/3
h = height = ?
v = volume = 1 2/9
We will slot the value info the formula. This will be:
V = = πr²h
1 2/9 = 22/7 × 1/3 × 1/3 × h
1 2/9 = 22/63h
Divide through by 22 / 63
h = 1 2/9 ÷ 22/63
h = 11/9 × 63/22
h = 7/2
The correct option is D.
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Answer:
7/2 is your answer i have the same test :)))
Step-by-step explanation:
The volume of a cylinder is calculated as:
V = πr²h
r = radius = 1/3
h = height = ?
v = volume = 1 2/9
We will slot the value info the formula. This will be:
V = = πr²h
1 2/9 = 22/7 × 1/3 × 1/3 × h
1 2/9 = 22/63h
Divide through by 22 / 63
h = 1 2/9 ÷ 22/63
h = 11/9 × 63/22
h = 7/2
The correct option is D.
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Solve the equation. 2 + |t + 6| = 12
Question 10 options:
[4, -11]
[4, 11]
[-16, 4]
[-4, 16]
Answer:
c) [-16, 4]
Step-by-step explanation:
Given equation,
→ 2 + |t + 6| = 12
Now the value of t will be,
→ 2 + |t + 6| = 12
→ 2 + t + 6 = 12 || → 2 -(t + 6) = 12
→ t + 8 = 12 || → -t - 4 = 12
→ t = 12 - 8 || → -t = 12 + 4
→ [ t = 4 ] || → [ t = -16 ]
Hence, value of t is 4 (or) -16.
PLEASE HELP
These box plots show the prices for two different brands of shoes.
Which statement is the most appropriate comparison of the spreads?
By using the box plots, the statement that is most appropriate comparison of the spread is option D. The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $25.
Box plot
A box plot refers the a type of chart often used in explanatory data analysis and it visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.
Given,
Here we have the box plot that contains the details about the comparison of spread.
Now, we have to find the statement is the most appropriate comparison of the spreads
In the given box plots, we have identified that the
Lower quartile of A = 70
Upper quartile of A = 80
Similarly,
Lower quartile of B = 25
Upper quartile of B = 50
Then the inter quartile is calculated as,
Brand A has interquartile range = 80- 70 =10,
Where as
Brand B has interquartile range = 50 - 25 = 25.
Therefore, the option D is correct.
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[tex]A(50)=266(1/2)^{50/30}[/tex]
the answer is 83.7; rounded up to 84
i dont understand why this is the answer; can anyone explain to me what steps i have to do first? ty!! (if there's 2 people that answered, ill give brainliest to the smartest answer that helps me understand why 84's the answer)
Find the area of the triangle pictured above.
Round your answer to the nearest tenth
Question Help: Video
Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992. a. Assuming you choose at least one coin, how many different sets of coins can you form? b. Assuming you choose at least one coin, how many different sums of money can you produce? c. Explain why the answers in part a and part b are not the same.
As per the concept of counting problem, the reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.
Counting Problems
Basically, counting refers the process of finding the number of elements of a finite set of objects.
Given,
Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992.
While we looking into the given problem,
For A) states that, If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.
Here in this process if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.
And If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.
Then If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.
So, If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.
So, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.
Similarly, for b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.
Then If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums.
So, If you choose two coins, you could choose the following sets of coins : DP, DQ, PQ, Q1Q2.And this gives us 4 possible sums
Then If you choose three coins, you could choose the following sets of coins: DPQ, DQ1Q2, PQ1Q2. And this gives us 3 possible sums
Then If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum.
So, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.
Finally, c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.
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What is the slope of a line that is parallel to the line y = x + 2?
Mark this and return
The slope of a line that is parallel to the line y = x + 2 is 1.
What is slope?
A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).
Given the equation of line: y = x + 2
We have to find the slope of a line that is parallel to the given line.
Since any line parallel to the given line y = x + 2 will have the same slope as that of a given line
The general equation of line is given as y = mx + c
where. m is the slope of the line and c is y-intercept.
Thus for given equation of line y = x + 2
Comparing , we get
slope is m=1
Thus, any line with slope 1 is parallel to the given line y = x + 2
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please help me solve this
Answer:
A = ₤500
B = ₤420
C = ₤340
D = ₤260
See Image 1 attached for the plot.
Step-by-step explanation:
The bank account starts with ₤500, so that is the amount at 0 months on the chart.
After one month, ₤80 is withdrawn, and the total becomes:
[tex]500-80=420[/tex]
After two months, another ₤80 is withdrawn from the account:
[tex]420-80=340[/tex]
Finally, after 3 months, ₤80 is withdrawn again:
[tex]340-80=260[/tex]
29n=−6
I need answer now
1. Is the game fair? We are flipping a coin twice. The first player wins if we get 2 tails, and the second player wins if we get 1 head and 1 tail. 2. Is the game fair? we are tossing two dice and the first player wins if the sum on the dice is 9 and the second player wins if the sum on the dice is 5.
The classification of each game as fair or not, using probabilities, is given as follows:
1. Fair.
2. Fair.
What is a fair game?A fair game is a game in which each competitor will have the same chance of winning the game.
These changes are calculated using probabilities, which is the number of desired outcomes in the context of the experiment divided by the number of total outcomes.
The probability of two tails when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
The probability of one head and one tail when two fair coins are tossed is:
p = 1/2 x 1/2 = 1/4.
In game 1, the two players have the same probability of winning, hence it is a fair game.
When two dice are thrown, there are 36 possible outcomes. The number of outcomes regarding the sums are given as follows:
Sum of 9: (3, 6), (4,5), (5,4), (6,3) -> 4 outcomes -> 1/9 probability.Sum of 5: (1,4), (2,3), (3,2), (4,1) -> 4 outcomes -> 1/9 probability.Same probabilities, hence game 2 is also fair.
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It takes Kade 6 hours to clean the gym. It takes Cade 7 hours to clean the same gym. How long would it take Kade and Cade if they work together? Sat up the equation to solve this problem.
Pls help me with this question it would be very appreciated <3
Write down all the whole numbers between 25 and 50 and have a difference of 4 between their digits
Answer:
Step-by-step explanation: I don’t know if this is what your asking for but 26, 37, 48.
macie has 36 photos of kekinga, her favourite gorilla at the calgary zoo she wants to arrange the photos in groups that have equal number of rows and columns.
Answer:
6×6
Step-by-step explanation:
6×6=36 and so it would be 6 rows and 6 columns.
write an equation passing through the point and parallel to the given line? (6, 10); 2x + 2y = -8
Answer:
y=-x+16
Step-by-step explanation:
let’s put this equation in slope intercept form: y=mx+b
2x+2y=-8
-2x. -2x
2y=-2x-8
/2. /2. /2
y=-x-4
We know parallel lines have the same slope as each other so let’s fill in the equation with the given point
10=-(6)-4
10=-10
We need to add 20 more to the y intercept to make this true like this
y=-x-4+20
y=-x+16
Now let’s see if it works
10=-(6)+16
10=10
It works so this is the equation
Hopes this helps please mark brainliest
Answer: y = -x +16
Step-by-step explanation:
rearrange the equation to make y the subject
2y = -2x -8
y = -x-4
equation of line parallel to the line (gradient will be the same)
y = -x +c
Substitute the x and y values into the parallel line equation
10 = -6 + c
10 + 6 = c
16 = c
Therefore, the equation of the line parallel to 2x + 2y = -8 is y = -x +16
the length of line segment ab is 380. the length of line segment cd is 95% of the length of line segment ab. what is the length of line segment cd?
Answer:
361
Step-by-step explanation:
Given: line m represented by
Y= 3/4x + 2
Match each of the following equations to the term that accurately described its relationship to line m.
Answer:
Neither, Perpendicular, Parallel, Neither
Step-by-step explanation:
Parallel lines have the same slope.
Perpendicular lines have slopes that are negative reciprocals.
Determine how many solutions there are to the equation
8x+4=4(2x+1)
Answer: 0
Step-by-step explanation:
8x-4=4(2x+1)
8x-4=8x+4
0= 8
This isn't true as 0 can't equal to 8 so there are 0 solutions
Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time. What was Lenny's total wage?
Lenny's total wage is $7000
In this question, Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time.
32 hours of work = $1750
In a certain week, we work 9 hours as over time
For this overtime which he was paid triple time.
1750 * 3 = $5250
So, Lenny's total wage would be,
$1,750 + $5250 = $7000
Therefore, Lenny's total wage is $7000
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(5x + 5)°
95°
Fill in the blanks based on the diagram.
Step 1: 5x +
Step 2: 5x
Step 3: x =
In the expression 5x + 5 = 95, the value of x is 18
What is an angle ?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
The given angle 5x + 5 is equal to 95
We need to calculate the value of x
5x + 5 = 95
5x = 95 - 5
5x = 90
x = 90/5
x = 18
Therefore, the expression 5x + 5 = 95 is solve and the value of x is 18
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PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Solve this system of equations using the LINEAR COMBINATION method, then answer the questions below.
2x - y = - 4 6x + 5y = 4
• What did you get for the (x, y) solution to this system? (2.5 points)
• Explain what you did to create a pair of opposites so that you could combine the equations. (2.5 points)
Answer:( 3.5 , -2 )
Step-by-step explanation: