What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 2:3?
13
12+
11+
10
9
8
7+
v = ( my mom n Ilv2 – va) + ve
O 6
0-5
6+
05
5
07
5
4+
3+
1 27
Mi
Answers
Answer:
5
Step-by-step explanation:
took the test
The coordinates of the point that divides the line segment from J to K into a ratio of 2:3 are P(-5,7), and the y-coordinate is 7, the correct option is D.
What is the ratio?Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that;
Ratio= 2:3
Now,
Let the point we are looking for be denoted as P(x,y), and let the ratio be 2:3, which means that the distance from J to P is 2/5 times the distance from J to K.
Using the distance formula, we can find the distance between J and K as:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
= sqrt((-8 - (-3))^2 + (11 - 1)^2)
= sqrt(25 + 100)
= sqrt(125)
The distance from J to P is 2/5 of the total distance, which is:
(2/5)d = (2/5)sqrt(125) = 2sqrt(5)
Using the ratio formula, we get:
x = (3* (-3) + 2 * (-8)) / (3+2) = -5
y = (31 + 211) / (3+2) = 7
Therefore, by the given ratio answer will be 7.
Learn more about the ratio here:
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Related Questions
What two methods are the best choices to factor this expression?
18x2 − 8
Answers
Answer:
18x2 is 36 but you have to minus it so the answer is 28.
What is the product of x(x + 1)?
1. 2x + x
2. x2+ 2x
3. 212 + x
4. x2 + x
Answers
Answer:
4. x²+x
Step-by-step explanation:
the product of x(x + 1) = (x)(x) + (x)(1)
= x²+x
Would you kindly help me.Im having a hard time understanding and I've been crying a lot trying to understand it
Answers
1) so first you want to list out all the numbers that can multiply into 12. That would be 1x12, 6x2, and 3x4.
So, The multiples of 12 are: 1 and 12, 6 and 2, and 3 and 4 so we can list them out from smallest to largest: 1,2,3,4,6,12
The multiples of 24 are: 1 and 24, 2 and 12, 3 and 8, and 4 and 6; so we can do the same thing as the first one. 1,2,3,4,6,8,12,24
The multiples of 40 are, 1 and 40, 2 and 20, 4 and 10, and 8 and 5; the listed numbers are: 1,2,4,5,8,10,20,40
So the greatest common number (factor) between all the lists of numbers are 4
The Least common multiple is the lowest common number that each of the original numbers can be multiplied to get
2) list out the answers to what two can be multiplied by; 2x1=2, 2x2=4, 2x3=6, 2x4=8, 2x5=10, 2x6= 12 2x7=14, 2x8=16, 2x9=18, 2x10=20, 2x11=22, 2x12=24, 2x13=26, 2x14=28, 2x15=30
So the list of multiples for two can be: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
list out the answers to what three can be multiplied by; 3x1=3, 3x2=6, 3x3=9, 3x4=12, 3x5= 15, 3x6=18, 3x7=21, 3x8= 24, 3x9= 27, 3x10= 30
So the list of multiples for three can be: 3,6,9,12,15,18,21,24,27,30
list out the answers to what five can be multiplied by; 1x5=5, 2x5=10, 3x5=15, 4x5=20, 5x5=25, 6x5=30
So the list of multiples for five can be: 5,10,15,20,25,30
The least common multiple out of the lists is 30 since they all share it
If you have any more questions i will be glad to help!
what is 4/7 raised to the power of negative 1 as a rational number
Answers
Answer:
7/4
Step-by-step explanation:
(4/7)^-1
We know a^-b = 1/a^b
1/ (4/7)^1
7/4
Answer:
(4/7)^-1
=1/(4/7)^1
=1÷4/7
=1×7/4
=7/4
Therefore 7/4 is equal to 1.75 as a rational number
What is the sum of the first 7 terms of the geometric series:
Answers
Answer:
-15.875
Step-by-step explanation:
First, we can sum up the first 5 terms.
-8 + (-4) = -12
-12 + (-2) = -14
-14 + (-1) = -15
-15 + (-1/2) = -15.5
Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have
-15.5 - 1/4 = -15.75
-15.5 - 1/8 = -15.875 as our answer
Eight more than one-half of a number is twenty-two. Find the number.
Answers
Answer:
Below.
Step-by-step explanation:
22-8 = 14x2 = 28.
Explanation:
The problem written in numeric form is 8 + .5X = 22
To solve that problem we minus 8 from booth sides
8 + .5X = 22
-8 -8
————————-
.5X = 14
Then we multiply by 2 to isolate X
.5X = 14
x 2 x 2
—————-
1X = 28 or X = 28
We can now see that x = 28
Hope this helps! Please consider making me the Brainliest, I work very hard and put a lot of time and effort into every answer, it’s not necessary but very much appreciated! Have a great day and stay safe and healthy! :)
The difference between seven times a number and 9 is equal to five times
the sum of the number and 2. Find the number. Hint: There will be
parenthesis in your equation.
Answers
Answer:
The number is 9.5
Step-by-step explanation:
Look at the picture above, it explains everything
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 5?
Answers
Answer:
1/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that the ticket drawn has a number which is a multiple of 5 =
Number of tickets that are a multiple of 5 / total number of tickets
Multiple of 5 = 5, 10, 15, 20
there would be 4 tickets that would be a multiple of 5
= 4/20
To transform to the simplest form. divide both the numerator and the denominator by 4
= 1/5
Questions 23 and 29: Use the following information to answer each question. A recent book noted that only 20% of all investment managers outperform the Dow Jones Industrial Average over a five-year period. A random sample of 200 investment managers that had graduated from one of the top ten business programs in the country were followed over a five-year period. Fifty of these outperformed the Dow Jones Industrial Average. Let p be the true proportion of investment managers who graduated from one of the top ten business programs who outperformed the Dow Jones over a five-year period.
23. Based on the results of the sample, a 95% confidence interval for p is:
a. (1.95, 3.15)
b. (0.0195, 0 .0315)
c. (0.190, 0.310)
d. (0.028, 0.031)
e. (0.195, 0.315)
f. We can assert that p = 0.20 with 100% confidence, because only 20% of investment managers outperform the standard indexes.
24. Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence? Use the prior estimate of pâ=0.2 for this estimate.
a. n=2401
b. n=1537
c. n=16
d. n=1801
e. n>30
Suppose you wish to see if there is evidence that graduates of one of the top ten business programs performs better than other investment managers. Conduct a hypothesis test. Use a level of significance of α=0.05
25. Which of the following pairs of hypotheses is the most appropriate for addressing this question?
a. H0: p=0.2
Ha: p<0.2
b. H0: p=0.2
Ha: pâ 0.2
c. H0: p=0.2
Ha: p>0.2
d. H0: p<0.2
Ha: p=0.2
e. H0: pâ 0.2
Ha: p=0.2
f. H0: p>0.2
Ha: p=0.2
26. How many measurements must you have in order to assure that p^ is normally distributed?
a. nâ¥30
b. nâ¥5
c. npâ¥10 and n(1âp)â¥10
d. npâ¥5 and n(1âp)â¥5
27. The value of your test statistic is:
a. 1.768
b. 0.039
c. 1.923
d. 0.077
28. The P-value of your test is:
a. 1.768
b. 0.039
c. 1.923
d. 0.077
29. Is there sufficient evidence to conclude that graduates from the top ten business programs perform better than other investment managers?
a. Yes. I rejected H0
b. Yes. I failed to reject H0
c. Yes. I accepted Ha
d. No. I rejected H0
e. No. I failed to reject H0
f. No. I failed to accept Ha
Answers
Answer:
https://www.chegg.com/homework-help/questions-and-answers/questions-23-29-use-following-information-answer-question-recent-book-noted-20-investment--q13619465
Step-by-step explanation:
this might help you
What is the solution to the system of equations below
Answers
Answer:
A
Step-by-step explanation:
1/2x-4=-2x-9...u vil get the ans
Please help very appreciated
Answers
Can someone please help?
Answers
Step-by-step explanation:
So, so, to attempt this, we need to use the formula :-
2 (l + b) × h ---> For Lateral surface area
2(30+30) h = 7200
2×60×h = 7200
120 × h = 7200
h = 7200/120
h = 60 cm
Now, volume = l×b×h
= 30×30×60
= 54000 cm³ is the required answer.
Hope it helps! :D
The function ()=5^3+3x−6 has inverse function . Find ′(138).
Answers
9514 1404 393
Answer:
f⁻¹(138) = 3
Step-by-step explanation:
You want to find the value of x that makes the function have a value of 138:
f(x) = 5x^3 +3x -6
138 = 5x^3 +3x -6
0 = 5x^3 +3x -144
Descartes's rule of signs tells us this has one positive real solution. The rational root theorem gives us 30 possibilities. Rewriting the equation as ...
x^3 = (144 -3x)/5 = 28.8 -0.6x
suggests that the value of x is less than ∛28.8 ≈ 3.065. Trying x=3, we find that to be a solution.
(5x² +3)(x) -6 = 0 . . . . rewrite of the above equation
(5·3² +3)·3 -144 = (48)(3) -144 = 0 . . . . true
Then ...
f⁻¹(138) = 3
_____
The answer is found easily using a graphing calculator. The solution is the x-intercept of 138 -f(x) = 0.
The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the lower class limits.
Answers
Answer:
79.5, 110.5, 141.5, 172.5, 203.5, 234.5
Step-by-step explanation:
Given
The attached distribution
Required
The lower class limits
To do this, we simply subtract 0.5 from the lower interval
From the attached distribution, the lower intervals are:
80.0, 111.0, 142.0, 173,0 .......
So, the lower class limits are:
[tex]80.0-0.5 = 79.5[/tex]
[tex]111.0-0.5 = 110.5[/tex]
[tex]142.0-0.5 = 141.5[/tex]
[tex]173.0-0.5 = 172.5[/tex]
[tex]204.0-0.5 = 203.5[/tex]
[tex]235.0-0.5 = 234.5[/tex]
Consider a parallelogram in which one side is 3 inches long, another side measures 4 inches, and the measurement of one angle is 45°. How many parallelograms can you construct given these conditions? What are the lengths of the sides and the measurements of the angles for the parallelogram(s)? Using the given information, can you determine the lengths of all the sides of the parallelogram? If so, what are the side lengths?
Answers
9514 1404 393
Answer:
(a) one parallelogram
(b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°
(c) yes, all side lengths can be determined, see (b)
Step-by-step explanation:
Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.
The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.
Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)
If BcA, AnB=(1,4,5)and AuB= (1,2,3,4,5,6) find B?
Answers
Hello,
if B ⊂ A then A∩B=B
So B={1,4,5}
As per the given value of sets, B is (1,4,5).
What is a set?A set is a collection of one or multiple data.
Given,
B ⊂ A
[tex]A[/tex] ∩ [tex]B = (1,4,5)[/tex]
[tex]A[/tex] ∪ [tex]B = (1,2,3,4,5,6)[/tex]
As B ⊂ A, therefor, B is a subset of A.
Therefore, [tex]A[/tex] ∩ [tex]B = B[/tex] and [tex]A[/tex] ∪ [tex]B = A[/tex]
Hence, [tex]B = A[/tex] ∩ [tex]B = (1,4,5)[/tex].
Learn more about a set here:
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Suppose that you are thinking about buying a car and have narrowed down your choices to two options.
The new-car option: The new car costs $25,000 and can be financed with a four-year loan at 6.12%.
The used-car option: A three-year old model of the same car costs $17,000 and can be financed with a three-year loan at 7.72%.
=||)
[1-(2-4) 11
What is the difference in monthly payments between financing the new car and financing the used car? Use PMT
The difference in monthly payments between financing the new car and financing the used car is $
(Round to the nearest cent as needed.)
Answers
Answer:
sjsjsuduhr r ki snsbtsuwi 3 38yv4r djvs
Please help me to solve it
Answers
What are you trying to solve for?
[tex]824381 + 1654 = - 121[/tex]
y is inversely proportional to x when y=9, x=24
Answers
Answer:
216
Step-by-step explanation:
y=k÷x
k=xy
k=9×24
k=216
Round 620 to the nearest ten! Hurry please and please don't answer if you know you wrong !
Answers
Answer:
620 to the nearest ten is already rounded correctly.
Step-by-step explanation:
620 to the nearest ten is 620.
solve 5x^2-2=-12 by taking the square root
Answers
Answer:
[tex]x = \sqrt{-2} = 2i[/tex]
Step-by-step explanation:
[tex]5x^2-2=-12[/tex]
[tex]5x^2 =-10[/tex]
[tex]x^2 =-2[/tex]
[tex]x = \sqrt{-2} = 2i[/tex]
Which critical thinking issue is most relevant to the following situation:
A research journal reports that there are on average 2.773829473 TVs in homes of Endor college educators as opposed to 2.682390934 TVs in homes of Endor bank tellers.
perceived lack of anonnymity
loaded or leading question
nonresponse bias or missing data
voluntary response bias
assumed accuracy from overly precise numbers
self-interest study
Answers
9514 1404 393
Answer:
assumed accuracy from overly precise numbers
Step-by-step explanation:
Except when counting large sums of money or considering definitions, most real-world numbers are not accurate beyond about 6 significant figures. When considering survey or sample results, the accuracy can be considerably less than that, often not even good to 3 significant figures. (Margin of error is usually some number of percentage points greater than 1.)
Expressing the given ratios to 10 significant figures substantially misstates their accuracy. (10^-9 television is less than 1 day's accumulated dust).
use dimensional analysis $3,000 to convert US Cash allowance into Peruvian currency.
Answers
Answer:
200000
Step-by-step explanation:
29563487
what’s the answer to this problem please and thank you
Answers
Answer:
1.8574 hours
Step-by-step explanation:
Solve for t.
Take the natural log of both sides.
[tex] 3000 = 75000e^{-1.733t} [/tex]
[tex] 1 = 25e^{-1.733t} [/tex]
[tex] \dfrac{1}{25} = e^{-1.733t} [/tex]
[tex] \ln \dfrac{1}{25} = \ln (e^{-1.733t}) [/tex]
[tex] -3.218875 = -1.733t [/tex]
[tex] t = 1.8574[/tex]
g Vectors ???? and ???? are sides of an equilateral triangle whose sides have length 4. Compute ????⋅????. (Give your solution as a number to one decimal place.
Answers
Answer:
[tex]v \cdot w = 8.0[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]|v| = |w| = 4[/tex] --- the side lengths
Required
[tex]v \cdot w[/tex]
[tex]v \cdot w = |v| \cdot |w| \cdot (cos\theta)[/tex]
From the question, we understand that v and w are sides of an equilateral triangle.
This means that:
[tex]\theta = 60^o[/tex] --- angles in an equilateral triangle
So:
[tex]v \cdot w = |v| \cdot |w| \cdot (\cos 60)[/tex]
So, we have:
[tex]v \cdot w = 4 * 4 * 0.5[/tex]
[tex]v \cdot w = 8.0[/tex]
A claim is made that the proportion of 6-10 year-old children who play sports is not equal to 0.5. A
random sample of 551 children aged 6-10 showed that 48% of them play a sport.
For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t="
before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value
(b) Use your calculator to find the P-value of this test.
P-value =
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.02 significance level. If
there are two critical values, then list them both with a comma between them.
Critical value(s) -
Answers
Answer:
a) -0.94
b) 0.3472
c) -2.327, 2.327
Step-by-step explanation:
A claim is made that the proportion of 6-10 year-old children who play sports is not equal to 0.5.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion is different from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*(1-0.5)} = 0.5[/tex]
A random sample of 551 children aged 6-10 showed that 48% of them play a sport.
This means that [tex]n = 551, X = 0.48[/tex]
(a) Calculate the value of the test statistic used in this test.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{551}}}[/tex]
[tex]z = -0.94[/tex]
So the answer is -0.94.
(b) Use your calculator to find the P-value of this test.
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least 0.02, which is P(|z| > 0.94), which is 2 multiplied by the p-value of Z = -0.94.
Looking at the z-table, z = -0.94 has a p-value of 0.1736.
2*0.1736 = 0.3472, so 0.3472 is the answer to option b.
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.02 significance level.
Two-tailed test(test if the mean differs from a value), Z with a p-value of 0.02/2 = 0.01 or 1 - 0.01 = 0.99.
Looking at the z-table, this is z = -2.327 or z = 2.327.
The radius of a circle is 6 kilometers. What is the length of a 60° arc.
Answers
Answer:
6.284
Step-by-step explanation:
* means multiply
formula is arc length = radius * theta
theta is fancy way of saying
make degrees into radians
you have to make 60 degrees into radians
you do that by
60 * Pi/180 = Pi/3
then you multiply that with the radius
6 * Pi/3 = 2 * Pi = 6.284
If the current through a circuit is 2 A and the resistance of a light bulb in the circuit is 10 Ohms what is tge voltage difference across the light bulb
Answers
Answer:
v = ir
2 times 10 = 20v
Step-by-step explanation:
i think it is the one
PLEASE HELP WILL MARK BRAINLIST AND GIVE 20 POINTS
Answers
Answer:
The first one
Step-by-step explanation:
You just need to find the slope in the average of all the dots.
Answer:
the first option, y=3/7x-3
Step-by-step explanation:
the scatterplot begins around y=-3, so therefore the y-intercept is -3. The slope is obviously not higher than 1, so it is y=3/7x-3.
What is the solution to this system of equations?
Answers
Answer:
（2,1）
Step-by-step explanation:
the graph intersects at 2 and 1