Answers
=========================================================
Explanation:
We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.
From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).
This shows that,
slope = rise/run = 2/5
The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.
-------
Optionally you can use the slope formula
m = (y2-y1)/(x2-x1)
with any two points you want from the graph.
Related Questions
Will give brainliest answer
Answers
Answer:
28.26 unit^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
18.84 = 2 * 3.14 * r
18.84 = 6.28 r
Divide each side by 6.28
18.84 /6.28= 6.28 r/6.28
3 = r
The area of a circle is given by
A = pi r^2
A =3.14 * 3^2
= 28.26 unit^2
Answer:
28.26 units^2Step-by-step explanation:
Solution,
Circumference of circle= 18.84 units
Finding the radius,
Circumference of circle= 18.84
or,
[tex]2\pi \: r = 18.84 [/tex]
or, 2 * 3.14 * r = 18.84
or, 6.28 r = 18.84
or, r= 18.84/6.28
r = 3 units
We have,
Radius= 3 units
Finding the area of circle:
[tex]\pi \: {r}^{2} [/tex]
plugging the value of radius(r)
= 3.14 * (3)^2
= 3.14 * 9
= 28.26 units^2
hope this helps...
Two particles travel along the space curves r(t) and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.)
r(t) = t^2i + (9t - 20)j + t^2k u(t) = (3t + 4)i + t^2j + (5t - 4)k point of intersection (x, y, z) =
1. Do the particles collide?
a. Yes
b. No
2. Do their paths intersect?
a. Yes
b. No
Answers
Answer:
Point of intersection (x, y, z) = (16, 16, 16)
1. a. Yes
2. a. Yes
Step-by-step explanation:
In order for the particles to colide (and therefore have their paths intersect), the values for the i, j, and k coordinates must be equal for a given 't':
For the i coordinate:
[tex]i_{r(t)} =i_{u(t)}\\t^2=3t+4\\t=\frac{3\pm\sqrt{9-4*1*(-4)} }{2}\\t=4\ or\ -1[/tex]
For the j coordinate:
[tex]j_{r(t)} =j_{u(t)}\\9t-20=t^2\\t=\frac{9\pm\sqrt{81-4*1*20} }{2}\\t=4\ or\ 5[/tex]
For the k coordinate:
[tex]k_{r(t)} =k_{u(t)}\\t^2=5t-4\\t=\frac{5\pm\sqrt{25-4*1*4} }{2}\\t=4\ or\ 1[/tex]
As we can see, for t =4, both paths have the same coordinates and therefore they intersect and the particles will colide.
[tex]r(4) = 4^2i + (9*4 - 20)j + 4^2k \\r(4)=16i+16j+16k\\u(4) = (3*4 + 4)i + 4^2j + (5*4 - 4)k\\u(4)=16i+16j+16k[/tex]
Point of intersection (x, y, z) = (16, 16, 16)
If a person invests $190 at 8% annual interest, find the approximate value of the investment at the end of 10 years.
Answers
Answer:
$420
Step-by-step explanation:
This the problem of compound interest
If any amount P is invested at rate of r% per year then its value after n years is given by
amount = [tex]p( 1+ r/100)^n[/tex]
______________________________
Given
p = $190
r =8%
n = 10 year then
[tex]amount = p( 1+ r/100)^n\\=> amount = 190( 1+ 8/100)^10\\=> amount = 190( 108/100)^10\\=> amount = 410.20[/tex]
Thus, value of the investment at the end of 10 years is $420.
Answer: 342
Step-by-step explanation:
This is a SIMPLE INTEREST question:
SI = prt
SI = 190 x 0.08 x 10
SI = 152
Amount = 190 + 152 = 342
–735 = 15(m + 929) m = _______
Answers
Answer:
-978
Step-by-step explanation:
1.) Use Distributive property (by multiplying 15 by the values in parentheses): -735=15m + 13935
2.) Subtract 13,935 on both sides, to move that value to the left side, to further isolate the variable m.
-735-13935=15m + 13935 - 13935
3.)-Simplify/Combine Like Terms
-14,670=15m
4.) Divide both sides by 15 to isolate and solve for m
-14,670/15=15m/15
5.) Simplify
-978=m
6.) Rearrange so m is on left side and value is on right side
m=-978
The prefix kilo means?
Answers
Answer:
one thousand
Step-by-step explanation:
Rick is thinking of a positive factor of $14$ and Steve is thinking of a positive factor of $42$. If Rick and Steve are thinking of the same number, how many possible numbers could they be thinking of?
Answers
Answer:
Step-by-step explanation:
Hello,
14 = 7 * 2 * 1
42 = 7 * 3 * 2 * 1
It can be 14, 7, 2 or 1
So there are 4 different positive numbers which meet the criteria
Hope this helps
Answer
14 = 7 * 2 * 1
42 = 7 * 3 * 2 * 1
It can be 14, 7, 2 or 1
Step-by-step explanation:
What is 62 in expanded form?
A. 2 x 2 x 2 x 2 x 2 x 2
B. 6 x 6
C. 12
D. 36
Answers
Answer:
I think so you meant to write 62 as 6^2
If this is the question , then the answer is 6 x 6
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
Answer:
B. 6 × 6
Step-by-step explanation:
6²
The square of a number means that the number is multiplied by itself.
6 × 6 (expanded form)
If a carpenter nails a 15-ft brace to the wall 9 feet above the floor, how far (in ft) from the base of the wall should he nail the brace to the floor? ___________________________________ ft.
Answers
Answer:
c = 12ft
Step-by-step explanation:
Given that the wall is 9ft from the ground.
Brace nailed to the wall is 15ft.
Note that the brace to the wall will be slant hence it will look like the hypotenus side of a triangle.
The question requires the solution to the distance from the base of the wall to the brace.
Note from Pythagoras theorem
a^2 = b^2+c^2
Where a = 15ft
b = 9ft
Hence, from the base of the wall, the brace will be nailed 9ft
c = ?
15^2 = 9^2+c^2
225 = 81+c^2
225-81 = c^2
144 = c^2
c =√144
c = 12ft
this circle is centered at the origin (0,0) the radius is 4, what is the equation?
Answers
Answer:
x^2 +y^2 = 16
Step-by-step explanation:
The equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-0) ^2 + (y-0)^2 = 4^2
x^2 +y^2 = 16
write your answer without using negative exponents (u^4)^-7
Answers
Answer:
[tex] \frac{1}{ {u}^{28} } [/tex]solution,
[tex] {(u}^{4} \: )^{ - 7} \\ = {(u)}^{4 \times ( - 7)} \\ = {(u)}^{ - 28} \\ = \frac{1}{ {u}^{28} } [/tex]
Hope this helps...
Good luck on your assignment..
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests negative, given that he or she did not have the disease. Round to three decimal places as needed.
Yes - Have the disease No - Do not have the disease
Positive 142 6
Negative 7 145
Answers
Answer:
0.505 = 50.7% probability of a negative test.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
142 + 6 = 148 people tested positive. Of those, 142 had the disease and 6 did not.
7 + 145 = 152 people tested negative. Of those, 7 had the disease and 145 did not.
Find the probability of getting someone who tests negative, given that he or she did not have the disease.
This is the probability of a negative test.
152 negative tests out of 148 + 152 = 300
152/300 = 0.507
0.505 = 50.7% probability of a negative test.
Find the third term in a geometric sequence if a = 8 and r = -1. Use the formula a(subscript n) = arⁿ⁻¹
Answers
Answer:
[tex]a_{3} = 8[/tex]
Step-by-step explanation:
=> [tex]a_{n} = ar^{n-1[/tex]
Where n = 3, a = 8 and r = -1
=> [tex]a_{3} = (8)(-1)^{3-1}[/tex]
=> [tex]a_{3} = (8)(1)[/tex]
=> [tex]a_{3} = 8[/tex]
A three-person jury has two members who each have a probability p of making the correct decision in a case. The third member doesnt care and flips a coin for each decision. The ruling is based on a majority vote amongst the jurors
(a) What is the probability that the jury will correctly decide the case?
(b) Suppose two of the jurors quit, one of whom is the juror that doesnt care. Does the rrectly deciding the case i ncrease, decrease, or no at all?
Answers
Answer:
(a) p
(b) the probability does not change at all
Step-by-step explanation:
(a) Let A and B be the jurors with probability 'p' of making the correct decision, and C be the juror that doesn't care. The case will be correctly decided if any of the following combinations of jurors decide the case correctly:
AB, AC, BC, ABC.
The probability of one of those outcomes occurring is:
[tex]P=(p*p*0.5)+(p*(1-p)*0.5)+(p*(1-p)*0.5)+(p*p*0.5)\\P=p^2+p-p^2\\P=p[/tex]
The probability is p.
(b) If two of the juros quit, the probability of correctly deciding the case lies on just one juror that correctly decides with probability 'p'. Therefore, the probability of deciding the case does not change at all
Use the box-and-whisker plot below to identify the lower quartile, upper quartile, and interquartile range of the
data set the plot represents.
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
A lower quartile - 38, upper quartile = 47. interquartile range = 9
B lower quartile = 45, upper quartile -50, interquartile range = 5
cu lower quartile 47 upper quartile = 53, interquartile range 6
D. lower quartile = 45, upper quartile = 47. interquartile range = 2
Answers
Answer:
The answer should be B.
The lower quartile is the one that is 45, the upper quartile is the one on 50, and the interquartile range is the difference between upper and lower quartile, which is 5.
Hope this helps!
I NEED HELP PLEASE, THANKS! :)
Answers
Answer:
D. No solution
Step-by-step explanation:
Instead of solving everything I just plugged the numbers on equations and saw that for some of them the numbers satisfied one or two equation but not all. Also for some I saw that a number set makes the equation have no solution. For eg, I plugged option B into equation 3 and got 1305=756 which is never true so it is no solution.
Hope you understand :)
Please answer this correctly
Answers
Answer:
1/9
Step-by-step explanation:
The probability of landing on a 5 is 1/6.
The probability of landing on a number greater than 2 is 4/6.
[tex]4/6 \times 1/6[/tex]
[tex]=4/36[/tex]
[tex]=1/9[/tex]
Gregoire sold 24 cars to his friend for $71.76. What was the price per car?
a. $47.76
b. $2.99
c. $17.22
d. $3.25
Answers
Answer:
2.99
Step-by-step explanation:
Take the total cost and divide by the number of cards
71.76/24 = 2.99
The cost per car is 2.99
Answer:
b. $2.99.
Step-by-step explanation:
To get the price per car, you get the total price divided by the total number of cars.
That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!
Hope this helps!
You take a multiple choice test that you are not prepared for, so you have to guess on all twenty questions. The probability that you guess correctly on any given question is 20% (since there are five choices on each question). What is the probability that you are able to guess ten or more correct answers? You must show correct inputs to either binompdf or binomcdf to receive credit.
Answers
Answer:
The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026
Step-by-step explanation:
This can be modeled by a binomial random variable, with sample size n=20 and probabillity of success p=0.2.
The probability of getting k answers right can be calculated as:
[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.2^k\cdot0.8^{20-k}[/tex]
Now, we have to calculate the probabiltiy that 10 or more answers are correctly answered guessing. This is P(x≥10).
[tex]P(x\geq10)=P(x=10)+P(x=11)+P(x=12)+P(x=13)+P(x\geq14)[/tex]
Note: the expression is simplified for x≥14 because we know the additional probability is less than 0.00005.
[tex]P(x=10)=\dbinom{20}{10}\cdot0.2^{10}\cdot0.8^{10}=184756\cdot0.0000001\cdot0.1074=0.0020\\\\\\P(x=11)=\dbinom{20}{11}\cdot0.2^{11}\cdot0.8^{9}=167960\cdot0.00000002\cdot0.1342=0.0005\\\\\\P(x=12)=\dbinom{20}{12}\cdot0.2^{12}\cdot0.8^{8}=125970\cdot0\cdot0.1678=0.0001\\\\\\P(x=13)=\dbinom{20}{13}\cdot0.2^{13}\cdot0.8^{7}=77520\cdot0.000000001\cdot0.2097=0.0000\\\\\\P(x\geq14)=0.0000[/tex]
[tex]P(x\geq10)=0.0020+0.0005+0.0001+0.0000+0.0000=0.0026[/tex]
The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026
Use the addition method to solve the system of linear equations for x. (Enter an exact number.)
3x - 2y = 8
2x + y = 3
Answers
Answer:
work is shown and pictured
Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5)
Answers
Answer:
I graphed the equation on the graph below.
Step-by-step explanation:
y − 4 = -3(x + 5) Distribute
y - 4 = -3x - 15
+ 4 + 4 Add 4 to both sides
y = -3x - 11 This is the equation in slope-intercept form, which is easier to graph
A line is a one-dimensional shape that is straight. The equation y-4 = -3(x + 5) can be represented on a graph as shown below.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
If we solve the given equation, the equation will reduce in the form of an equation of a line, therefore, the equation can be written as,
y − 4 = -3(x + 5)
y - 4 = -3x - 15
y = -3x - 15 + 4
y = -3x - 11
Hence, the equation y-4 = -3(x + 5) can be represented on a graph as shown below.
Learn more about Equation of Line:
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Compare the distributions using either the means and standard deviations or the five-number summaries. Justify your choice. Set A Set B The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.2. The mean for Set B is about 42.8 with standard deviation of about 1.86. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set A’s low temperatures have a greater variability than Set B temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set B is about 41.56 with standard deviation of about 6.07. The mean for Set A is about 43.8 with standard deviation of about 14.8. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set A means that Set A’s low temperatures have a greater variability than Set B temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.4. The mean for Set B is about 41.5 with standard deviation of about 6.7. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set B’s low temperatures have a greater variability than Set A temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.2. The mean for Set B is about 43.8 with standard deviation of about 14.8. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set B’s low temperatures have a greater variability than Set A temperatures.
Answers
Answer:
Explained below.
Step-by-step explanation:
The question is:
Compare the distributions using either the means and standard deviations or the five-number summaries. Justify your choice.
Set A: {36, 51, 37, 42, 54, 39, 53, 42, 46, 38, 50, 47}
Set B: {22, 57, 46, 24, 31, 41, 64, 50, 28, 59, 65, 38}
The five-number summary is:
MinimumFirst Quartile Median Third Quartile MaximumThe five-number summary for set A is:
Variable Minimum Q₁ Median Q₃ Maximum
Set A 36.00 38.25 44.00 50.75 54.00
The five-number summary for set B is:
Variable Minimum Q₁ Median Q₃ Maximum
Set B 22.00 28.75 48.00 58.50 65.00
Compute the mean for both the data as follows:
[tex]Mean_{A}=\frac{1}{12}\times [36+51+37+...+47]=44.58\approx 44.6\\\\Mean_{B}=\frac{1}{12}\times [22+57+46+...+38]=44.58\approx 44.6[/tex]
Both the distribution has the same mean.Compare mean and median for the two data:
[tex]Mean_{A}>Median_{A}\\\\Mean_{B}>Median_{B}[/tex]
This implies that set A is positively skewed whereas set B is negatively skewed.Compute the standard deviation for both the set as follows:
[tex]SD_{A}=\sqrt{\frac{1}{12-1}\times [(36-44.6)^{2}+...+(47-44.6)^{2}]}=6.44\approx 6.4\\\\SD_{B}=\sqrt{\frac{1}{12-1}\times [(22-44.6)^{2}+...+(38-44.6)^{2}]}=15.56\approx 15.6[/tex]
The set B has a greater standard deviation that set A. Implying set B has a greater variability that set B.Flag question
You buy halibut at $30 per
pound,
One portion of seared
halibut requires 6 ounces of
halibut.
How much does the halibut
for one portion cost? Round
to the nearest cent.
Answers
Answer:
$11.25
Step-by-step explanation:
price = $30/lb
16 oz = 1 lb
1 portion = 6 oz = 6/16 lb = 3/8 lb
$30/lb * 3/8 lb = $11.25
Which of the following is false? Correlation coefficient and the slope always have the same sign (positive or negative). If the correlation coefficient is 1, then the slope must be 1 as well. If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them. Correlation measures the strength of linear association between two numerical variables.
Answers
Answer:
If the correlation coefficient is 1, then the slope must be 1 as well.
Step-by-step explanation:
Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.
If the correlation coefficient is 1, then the slope must be 1 as well.
The correlation coefficient (ρ) is a measure that determines the degree to which the movement of two different variables is associated.
Correlation coefficient and the slope both quantify the direction and strength of the relationship between two numeric variables. When the correlation (r) is negative, the regression slope (b) will be negative. When the correlation is positive, the regression slope will be positive.If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.
So, the false statement is:
If the correlation coefficient is 1, then the slope must be 1 as well.
Learn more:https://brainly.com/question/16557696
Suppose you draw a single sample of size 64 from a large population and measure its sample proportion. What is the margin of error for 95% confidence?
(a) 5% (b) 6.25% (c) 12.5% (d) 95%
Answers
Answer:
(b) 6.25%
Step-by-step explanation:
Margin of error is the chances of percentage deviation that may differ from original population data. The margin of error for 95% confidence interval can be 6.25%. To find this we divide population standard deviation with square root of sample size. The margin of error is the estimate of the deviation from actual and real value of population.
The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these
atomic weights?
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No. Atomic Weight Name 48112411 2040078 98251000
Cadmium cd Calcium Ca Californium Cf Carbon Cerium Ce Cesium Cs Chlorine C Chromium Cr Cobalt Co Copper Cu Curium Cm
6 12.011 58140116 55132906 1735453 2451996 2758933 2963546 96 *247.00
A. 215.547
B. 238.989
C. 234.989
D. 134.589
Answers
Find the equation of a line perpendicular to 4x+2y=3 that contains the point (1,5)
Answers
Answer:
x -2y = -9
Step-by-step explanation:
We can start by swapping the coefficients of x and y, then negating one of them. We can finish by evaluating the expression at the given point to find the constant.
2x -4y = constant
2(1) -4(5) = -18 = constant
So, an equation could be ...
2x -4y = -18
We notice that all of the coefficients of this equation are divisible by 2, so we can remove a factor of 2 from the equation:
x -2y = -9
Which shapes have the same volume as the given rectangular prism?
Answers
V’s Warehouse has a market value of $880,000. The property in V’s area is assessed at 35% of the market value. The tax rate is $58.90 per $1,000 of assessed value. What is V’s property tax?
Answers
Answer:
$18,141.20
Step-by-step explanation:
The assessed value is $880,000 × 0.35.
The tax will be ...
(58.90/1000) × (0.35 × $880,000) = $18,141.20
A sociologist is analyzing Social Security data. The number of individuals in the sample is 5. The probability that an individual receives Social Security is 20%. What is the probability that exactly 3 of the 5 individuals receive Social Security? 0.0512 0.0305 0.6125 0.1024
Answers
Answer:
0.0512
Step-by-step explanation:
For each individual, there are only two possible outomes. Either he receives Social Security, or he does not. The probability of an individual receiving Social Security is independent of other individuals. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The number of individuals in the sample is 5.
This means that [tex]n = 5[/tex]
The probability that an individual receives Social Security is 20%.
This means that [tex]p = 0.2[/tex]
What is the probability that exactly 3 of the 5 individuals receive Social Security?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.2)^{3}.(0.8)^{2} = 0.0512[/tex]
Value of the digit 5 in 75 389
Answers
Answer:
The value of digit 5 is thousand
Step-by-step explanation:
Digit 5 has thousand value in 75 389