Answer:
negative linear association
A student prepares for an exam by studying a list of 10 problems. She can solve 7 of them. For the exam, the instructor selects 6 questions at random from the list of 10. What is the probability that the student can solve all 6 problems on the exam
This means there is approximately a 3.33% chance that the student will be able to solve all 6 problems on the exam.
We have a student who can solve 7 out of the 10 problems. The instructor will select 6 questions at random for the exam. We want to find the probability that the student can solve all 6 problems on the exam.
To determine this probability, we will use the concept of combinations. A combination is a selection of items from a larger set, where the order of the items does not matter. In this case, we will calculate the combinations of problems the student can solve and the total possible combinations of problems on the exam.
The student can solve 7 problems, so there are C(7,6) combinations of problems she can solve, where C(n,k) represents the number of combinations of n items taken k at a time. There are a total of 10 problems, so there are C(10,6) possible combinations of problems that could appear on the exam.
The probability that the student can solve all 6 problems on the exam is given by the ratio of the combinations of solvable problems to the total possible combinations of problems on the exam:
Probability = C(7,6) / C(10,6)
Using the formula for combinations, we find:
C(7,6) = 7! / (6!(7-6)!) = 7
C(10,6) = 10! / (6!(10-6)!) = 210
So, the probability that the student can solve all 6 problems on the exam is:
Probability = 7 / 210 = 1/30 ≈ 0.0333
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SERIOUSLY NEED HELP HOT 10 MINUTES LEFT!! PLS HELP I WILL GIVE BRANLIEST!! AT LEAST COME TAKE A LOOK!!! MY FINAL QUESTIONS!SERIOUSLY NEED HELP HOT 10 MINUTES LEFT!! PLS HELP I WILL GIVE BRANLIEST!! AT LEAST COME TAKE A LOOK!!! MY FINAL QUESTIONS!
Answer:
D
Step-by-step explanation:
You take the area of the square minus the area of the circle.
If you had money in a savings account earning 9% interest per year, how much would you make in interest on a deposit of $60.00 over two years?
The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.
As per the given problem:
Amount deposited = $60.00
Interest rate per year = 9%
The formula for calculating the interest is given by:
Interest = (Principal × Rate × Time)/100
Where Principal is the initial amount invested or deposited
Rate is the percentage of interest that you earn per annum
Time is the duration for which you want to calculate the interest
Putting the values in the above formula, we get:
Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108
So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.
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Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
please answer my question fast I really need it....
The length of the common chord is 6 cm.
What is Tangent?A line that touches ellipses or circles only once is said to be tangential.
Given:
Circles intersect at two points, so we can draw the above figure.
Let AB be the common chord.
Let O and O’ be the centers of the circles, respectively.
So, O’A = 5 cm, OA = 3 cm
OO’ = 4 cm
We can claim that the smaller circle's centre is inside the larger circle itself since the radius of the larger circle is greater than the separation between the two centres.
OO’ is the perpendicular bisector of AB.
So, OA = OB = 3 cm
AB = 3 cm + 3 cm = 6 cm [Since, O is the mid point of AB]
Hence, the length is 6 units.
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Answer:
Hope it will help U......
The water capacity of a tank is 1500 liters. In three hours, half of it is being discharged. Find the volume left after 4 hours of discharging. a. 1,000 liters b. 800 liters c. 500 liters
After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.
Initially, the tank has a water capacity of 1500 liters.
After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.
To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.
Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.
Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.
Therefore, the correct answer is c. 500 liters.
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PLEASE HELP ASAP NEEDED SOON
They will require 4 (4/11) days to complete the remaining work together.
Time is the duration during which any activity or work happens or continues. Work is a task or set of activities to achieve a certain result
It takes Ann alone 10 days to translate a document.
Ann's work in one day = 1/10
In 2 days = 2 / 10
Work left = 8 / 10
Ben alone now takes 12 days to translate a document.
Ben's work in one day = 1/12
We will now use addition.
Combined work of both Ann and Ben in 1 day = 1 / 10 + 1 / 12 = 11 / 60
Time taken to complete the rest of the work = 8 / 10 ÷ 11 / 60
= 48 / 11 = 4.4 days.
As a result, they need 4 (4/11) days to finish the remaining work together.
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Alexis has -4 points in a game that she is playing. After her next turn, she ends up with 18 points. How many points must she have scored that turn?
Answer:
20
Step-by-step explanation:
10. Find the measure of each missing angle.
Answer:
see explanation
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is
parallel to the third side
∠ 1 and 144° are same- side interior angles and sum to 180° , so
∠ 1 + 144° = 180° ( subtract 144° from both sides )
∠ 1 = 36°
----------------------
∠ 2 and 56° are corresponding angles and are congruent , so
∠ 2 = 56°
-------------------------
∠ 3 and 56° are a linear pair and sum to 180°
∠ 3 + 56° = 180° ( subtract 56° from both sides )
∠ 3 = 124°
--------------------------
the sum of the 3 angles in a triangle = 180° , then
∠ 1 + ∠ 2 + ∠ 4 = 180° , that is
36° + 56° + ∠ 4 = 180°
92° + ∠ 4 = 180° ( subtract 92° from both sides )
∠ 4 = 88°
--------------------------------
∠ 5 and ∠ 1 are corresponding angles and are congruent , so
∠ 5 = 36°
----------------------------------
Answer:
m∠1 = 36° , m∠5 = 36° , m∠4 = 88° , m∠3 = 124° , m∠2= 56°
Step-by-step explanation:
m∠1 and 144° are Co-Interior angles, or the angles which are on the same side of the transveral
m∠1 + 144° = 180°
m∠1 = 36°
angle 5 and 144° are in a linear pair-
144 °+ angle 5 = 180°
m∠5 = 36°
angle 5 + 56° + angle 4 = 180° because addition of angles of a triangle is 180°
36° + 56° + angle 4 = 180°
angle 4 = 180° - 92°
angle 4 = 88°
56° and angle 3 are in a linear pair
56° + angle 3 = 180°
angle 3 = 124°
angle 3 and angle 2 are Co-Interior angles
angle 3 + angle 2 = 180°
124° + angle 2 = 180°
angle 2 = 56°
Hope it helped and you understood it :)
Solve x in the triangle. Round your answer to the nearest tenth
Answer:
9.5
Step-by-step explanation:
Im just bult different.
ayo if i get this right can i get brainliest, i only need 2 more brainliest to get to the next rank :)
At a movie theater adult tickets cost $10, and child tickets cost $6. Which equation can be
used to find s, the total number of dollars a family of k adults and 5 children would pay for
movie tickets?
A-s = 10k + 6(5)
B-S = 6k + 10(5)
C-S = (10 + 6)· (k + 5)
D-s = 10k - 6(5)
Answer: Choice A
s = 10k + 6(5)
========================================================
Reason:
k = number of adults
10k = cost for all the adults (at $10 per ticket)
5 = number of children
6(5) = cost for all the children ($6 per ticket)
10k + 6(5) = total cost for all adults and children
s = total cost in dollars
s = 10k+6(5)
Which one don’t lie!!!
Answer:
A
Step-by-step explanation:
m=y2-y1/x2-x1
4-2=2
6-3=3
2/3
hope this helps =3
Answer:
The answer is 2/3
Step-by-step explanation:
The discriminant of a quadratic equation is 225. Describe the nature of the roots.
Answer:
c
Step-by-step explanation:
d=225=15²>0
roots are real , rational and different.
Clayton wonders what types of sports the students at his school like to play. So, he plans to ask a small sample of them. Pick all the ways of sampling the students that would produce a representative sample.
All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.
Sampling : In statistics, quality assurance, and survey methodology, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population.
Given that Clayton wonders what types of sports the students at his school like to play. So, he plans to ask a small sample of them.
Explanation:
Let us assume that there are 3000 students in Clayton's school and he has to choose a sample of 20 students.
1) Simple random sampling - Pick 20 of the students of the school from the 3000 students there are in his school.
2) Strafied random sampling - Divide all the students of the school into 4 grades and randomly pick 5 students from each of the grades.
3) Systematic sampling - Pick evert 7th student who enters the school premises until 20 students are picked.
4) Cluster sampling - Pick several 1st period classes of the school then randomly pick students from those classes.
5) Convenience sampling - Ask 20 students from all the 3000 students in the school recess.
Therefore, All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.
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A funnel can hold 159π cm^3 of fluid.
Its height (without the stem) is 12 cm.
What is the diameter of the cone part of the funnel to the nearest tenth?
The value of the diameter of the cone part of the funnel to the nearest tenth is,
⇒ d = 7.2 cm
We have to given that;
A funnel can hold 159π cm³ of fluid.
And, Its height (without the stem) is 12 cm.
Now, We know that;
Volume of cone = πr²h/3
Where, r is radius of cone.
Hence we get;
⇒ 159 = 3.14 × r² × 12 / 3
⇒ 159 = 12.56 r²
⇒ r² = 12.65
⇒ r = √12.65
⇒ r = 3.556
⇒ r = 3.6 cm
Thus, The value of the diameter of the cone part of the funnel to the nearest tenth is,
⇒ d = 2r
⇒ d = 2 x 3.6
⇒ d = 7.2 cm
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I’m sort of new to this app so Idk how to give extra points, but I would appreciate it if you could help
Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $401.83. He buys 4 bicycle reflectors for $12.85 each and a pair of bike gloves for $23.83. He plans to spend some or all of the money he has left to buy new biking outfits for $40.49 each. Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget.
The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Total amount to spend = $720
Cost of bicycle = $401.83
Cost of bicycle reflector = $12.85 ( 4 reflector bought )
Cost of bike cloves = $23.83
Cost of biking outfits = $40.49
The number of possible biking outfits:
401.83 + 4 x 12.85 + 23.83 + M40.49 ≤ 720
401.83 + 51.4 + 23.83 + M40.49 ≤ 720
477.06 + M40.49 ≤ 720
M40.49 ≤ 720 - 477.06
M40.49 ≤ 242.94
M ≤ 242.94 / 40.49
M ≤ 6
M = Number of possible outfits
Thus,
The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.
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Convert 20 mi/hour to feet per second (5280 feet = 1 mile)
Answer:
d'accord est-ce moi ou pas la même chose que j'ai fait
Answer:
29.33333... feet per second
Step-by-step explanation:
20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280
105600÷60=1760 You divide 105600 by 60 because there are 60 minutes in an hour
1760 ÷ 60 You divide it by 60 again because there are 60 seconds in a minute
Your answer is 29.33333...
In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.
In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".
They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.
They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.
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Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = \(\frac{P\times r\times t}{100}\)
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = \(\frac{18000\times 14.5\times 5}{100}\)
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = \(\text{Initial amount}(1+\frac{r}{n})^t\)
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = \(18000(1+\frac{0.089}{1})^4\)
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
PLEASE HELP:
Write an ordered-pair rule for the translation in the sequence that maps ∆EFG to ∆E'F'G'. Answer: (x, y)
Translation rule: (x, y) (x___,y____)
Fill the blanks.
Answer:
(x, y ) → (x + 4, y - 5 )
Step-by-step explanation:
Consider the coordinates of F and F'
F (1, 4 ) and F' (5, - 1 )
1 → 5 in the x- direction is + 4
4 → - 1 in the y- direction is - 5
Translation rule is (x, y ) → (x + 4, y - 5 )
A jar of marbles contains 5 pink, 9 green, 13 blue, and 3 orange marbles. If a marble is randomly chosen from the jar, what is the probability that it will not be orange?
The probability that it will not be orange is 0.9
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.
given:
There are:
5 pink marbles
9 green marbles,
13 blue marbles, and
3 orange marbles.
There is a total of 30 marbles in the jar.
Step 1. Take 1 marble from the jar.
Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%
Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.
hence , the probability that it will not be orange is 0.9
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You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.49 a pound. Is it worth the extra drive?First, determine what information you need to answer this question, then click here to display that info (along with other info).How much chicken will you be buying? 3 poundsHow much far are the two stores? My neighborhood store is 2.5 miles away, and takes about 9 minutes. The store across town is 8.7 miles away, and takes about 26 minutes.How kind of mileage does your car get? It averages about 24 miles per gallon in the city.How many gallons does your car hold? About 15 gallonsHow much is gas? About $3.67/gallon right now.
First, calculate the difference in cost between buying 3 pounds of chicken across town and buying it in your neighborhood.
\(3(3.49-3.19)=3(0.30)=0.90\)This is $0.90
Then, the distance between the two places is
\(8.7-2.5=5.2\)The difference in distance is 5.2 miles.
Find the number of gallons needed to drive 5.2 miles,
\(\frac{5.2}{24}=\frac{13}{60}gallons\)Then, multiply the number of gallons by the cost per gallon of gas, as shown below
\(\frac{13}{60}*3.67=0.795166...\)Then, the total savings are
\(Savings=0.90-0.795166...\approx0.10\)You would save $0.10 if you drive across town. The expended time can not be quantified in dollars. The extra drive is worth it.I need help please! I don’t understand.
Consider the predicate "enrol_mark >= 50", what row(s) will be selected for this predicate by the dbms?
The rows selected for the predicate "enrol_mark >= 50" by the DBMS will include all rows where the value of the column "enrol_mark" is greater than or equal to 50.
In a DBMS (Database Management System), a predicate is a condition or criteria used to filter and select specific rows from a database table. In this case, the predicate "enrol_mark >= 50" indicates that we are interested in selecting rows where the value of the "enrol_mark" column is greater than or equal to 50.
When the DBMS evaluates this predicate, it will scan the table and compare the value of the "enrol_mark" column for each row. If the value is greater than or equal to 50, the row will be selected and included in the result set. Rows with "enrol_mark" values less than 50 will not be included in the result set.
It's important to note that the actual rows selected by the DBMS will depend on the specific data in the table. If there are rows where the "enrol_mark" column has values greater than or equal to 50, those rows will be selected. If there are no such rows, then the result set will be empty.
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Beth paid $175,000 for a town house in downtown Portland. The values of the homes in
that neighborhood have been increasing by 8% each year. Write an equation that
models this situation.
y = .08x+175000
175000 is the y intercept and because its increasing by .08 thats x you can always check these in desmos graphing calculator
36/38 in its simplest form??
Answer:
18 / 19
Step-by-step explanation:
Divide it by 2
(Secant Method). Apply the Secant method to find an approximation pn of the solution of the equation x - sin(x) 1 - COS X = = 0.82 in [7/2, π] satisfying RE(PN ≈ PN−1) < 10−5 by taking po 2.6 and p1 = 2.8 as the initial approximations. All calculations are to be carried out in the FPA7. Present the results of your calculations in a standard output table for the Secant method of the form Pn n Pn-2 Pn-1 RE(PnPn-1) : : :
The calculation until the convergence criterion is met, which is RE(Pn-Pn-1) < 10^-5.
To apply the Secant method to find an approximation pn of the solution of the equation x - sin(x)/(1 - cos(x)) = 0.82 in the interval [7/2, π] with the given convergence criterion, we can use the initial approximations po = 2.6 and p1 = 2.8.
The Secant method formula for finding the next approximation is:
pn+1 = pn - [(pn - pn-1) / (f(pn) - f(pn-1))] * f(pn)
Let's start with the initial approximations and iterate until the convergence criterion is met.
Using the given initial approximations:
p0 = 2.6
p1 = 2.8
We can set up the table as follows:
n pn pn-2 pn-1 RE(Pn-Pn-1)
0 2.6
1 2.8
2
3
...
To find the values of pn, we need to calculate f(pn) for each iteration. In this case, f(x) = x - sin(x)/(1 - cos(x)) - 0.82.
Now, let's fill in the table step by step:
n pn pn-2 pn-1 RE(Pn-Pn-1)
0 2.6
1 2.8
2 ...
3 ...
...
To calculate pn+1, we need to use the Secant method formula:
pn+1 = pn - [(pn - pn-1) / (f(pn) - f(pn-1))] * f(pn)
Repeat the calculation until the convergence criterion is met, which is RE(Pn-Pn-1) < 10^-5. Update the table with the new values of pn and the relative error.
Continue this process until the convergence criterion is satisfied.
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What are the solutions of the system? y=−6x−6 and y= x^2 −5x−6
Answer:
(0,-6) and (-1,0)
Step-by-step explanation:
First:
Set both sides equal to each other: -6x-6=x^2-5x-6
Next:
factor -6 our from the first side and write -5x as a difference:
-6(x+1)=x^2+x-6x-6
Then:
factor out x and -6 drom the second side:
-6(x+1)=x(x+1)-6(x-+1)
Then:
Factor out (x+1)
-6(x+1)=(x+1)(x-6)
Next Combine to one side and factor:
-(x+1)(6+x-6)=0
Simplify:
(x+1) (x)=0
find the zero:
x+1=0 --> x=-1
x=0 --> x=0
Substitute into the equations to find y:
y=-6(-1)-6
y=-6(0)-6
Solve:
y=0
y=-6
Answer:
(x1,y1)= (-1,0)
(x2,y2)= (0,-6)
Rachael earned $42 for 3 1/2 hours at her job today. How much does Rachel earn per hour ?
Answer:
$12
Step-by-step explanation:
It is given that,
Rachael earned $42 for \(3\dfrac{1}{2}\) hours at her job today. It means,
For 7/2 hours, earning is $42
For 1 hour, we divide $42 by 7/2 as follows :
\(1\ h=\dfrac{42}{\dfrac{7}{2}}\\\\=\dfrac{42\times 2}{7}\\\\=\$12\)
So, he will earn $12 per hour.
What is the quotient and remainder of 21÷6
Answer:
3 remainder 3
Step-by-step explanation: