Answer:
No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Step-by-step explanation:
the questionnaire options are incomplete, however the given option is correct
We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution
To solve such problems we must know about the system of equations and underdetermined systems.
The system of equations doesn't have a unique solution.
Given to usStatement 1 - A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. SolutionWhen a system of equations has more variables than the equation, therefore, it has fewer rules to curb the variables, giving the variables more freedom to take up values from their respective domain(Usually it is a set of real numbers), in such a condition the system of equations has infinite solutions. This kind of system is known as an underdetermined system.
Hence, the system of equations doesn't have a unique solution.
Learn more about the system of equations:
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PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!
Answer:
22
Step-by-step explanation:
=x(x+22)
Answer:
The answer is 22
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
Compute: 10:00 - 2:30
Answer:
4 hr and 30 minutes?
Step-by-step explanation:
You didnt really specify soo. 11 12 1 2 2:30
1hr 2hr 3hr 4hr 30 min
Answer:7:30
Step-by-step explanation:
(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.
[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when
[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]
[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]
We omit the negative root, since we only care for [tex]y\ge0[/tex].
In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral
[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]
and so the volume is (32√2)/21 π.
Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?
Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
To learn more about probability, please check: brainly.com/question/13234031
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what is 7 divided by 1/3 in multiplication is it A.1/3 multiplied by 7 =k B. 1/3 multiplied by k=7 or C. 1/3=k multiplied by 7. Please Try to give the correct answer!
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
Which would be used to solve this equation? Check all that apply.
p
- = 12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.
Then you have ...
3(p/3) = 3(12)
p = 36 . . . . . simplify
To check this work, you can substitute 36 for p:
36/3 = 12 . . . . . true statement
So, the solution process is ...
multiply both sides of the equation by 3
substitute 36 for p to check the work
Answer:
multiplying both sides of the equation by 3substituting 36 for p to check the solutionStep-by-step explanation:
I took the assignment and it's correct :)
Good luck ;)
f(x)=2x^2+x-4
find (-10)
Answer:
F(-10)=186
Step-by-step explanation:
F(-10)=2(-10)^2+(-10)-4
F(-10)=2*100+(-14)
F(-10)=200-14
Therefore, F(-10)=186
Answer:
The answer is 186
Step-by-step explanation:
Which shows the decimal 0.16 expressed as a fraction in the simplest form?
Answer:
.16 = 16/100= 8/50= 4/25
Step-by-step explanation:
Answer:
decimal: 0.16
fraction: 4/25
percentage: 16%
Step-by-step explanation:
what is the perimeter of a parallelogram with length 26cm , 24cm and base 25cm?
Answer:
Step-by-step explanation:
P=2(a+b)
2(26+25)
=102 ans
Answer:
102 cm
Step-by-step explanation:
P=2(a+b)
P = 2(26+25)
= 2 * 51
= 102
Which description matches finding the volume of the solid ?
Answer:
As shown in the picture, the volume of solid is
V = Rectangular prism - half cylinder
Hope this helps!
:)
Answer:
Last option
Step-by-step explanation:
It's a cuboid/rectangular prism
The curve on top is due to half a cylinder being removed
Easy math, but not sure what I did wrong.
Alex took 31 exams during 5 years studying at the MaPhAs University. Each year, he took more exams than the previous year. During his 5th year, he took three times as many exams as in the 1st year. How many exams did Alex take during his 4th year at the university?
Answer:
8
Step-by-step explanation:
In his 5th year, he took 3 times as many exams as the first year. So the number of exams taken in the 5th year must be a multiple of 3.
If a₁ = 1, then a₅ = 3. However, this isn't possible because we need 4 integers between them, and a sum of 31.
If a₁ = 2, then a₅ = 6. Same problem as before.
If a₁ = 3, then a₅ = 9. This is a possible solution.
If a₁ = 4, then a₅ = 12. If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.
Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year. So he took 19 exams total in his second, third, and fourth years.
3 < a₂ < a₃ < a₄ < 9
If a₂ = 4, then a₃ = 7 and a₄ = 8.
If a₂ = 5, then a₃ = 6 and a₄ = 8.
If a₂ = 6, then there's no solution.
So Alex must have taken 8 exams in his fourth year.
Tell whether the events are DEPENDENT or INDEPENDENT.
You roll number cube and select a card from a standard deck of cards.
Event A: You roll a 3.
Event B: You select a face card.
Answer:
event A is dependent on event B since roll 3 will result if you select a face card
Which is a solution of the system of equations shown?
A. (−4, 0)
B. (2, −4)
C. (0, −2)
D. (2, 0)
Answer:
D. (2, 0)
Step-by-step explanation:
The solutions are the two points of intersection of the graphs:
(-2, -4) and (2, 0)
The latter of these corresponds to choice D, the one you have marked.
Solve 20x = 10 for x. A. x = 1/2 B. x = 1.5 C. x = 2 D. x = 10
Answer:
A. 1/2
Step-by-step explanation:
20x=10
Divide 20 on both sides of the equation to get x by itself
20x=10
___. __
20. 20
x =1/2
Answer:
A) x= 1/2
Step-by-step explanation:
20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!
100 POINTS.
PLEASE PROVIDES STEPS.
FIND THE INTEGRALS.
Answer:
10. ⅔ − ∛e
11. 79 + 3√3
Step-by-step explanation:
10. ∫ (1 + 1/x) dx
∫ dx + ∫ (1/x) dx
These are both standard integrals.
x + ln|x| + C
Evaluate between x = ∛e and x = 1.
(1 + ln|1| + C) − (∛e + ln|∛e| + C)
1 + 0 + C − ∛e − ⅓ − C
⅔ − ∛e
11. ∫₁³ (4x³ + ³/₂√x) dx
∫₁³ 4x³ dx + ∫₁³ (³/₂ x^½) dx
(x⁴ + x^(³/₂) + C) |₁³
(x⁴ + x√x + C) |₁³
(3⁴ + 3√3 + C) − (1⁴ + 1√1 + C)
81 + 3√3 + C − 1 − 1 − C
79 + 3√3
The solutions and answers are in the picture below.
Best of Luck!
uy Islari
ce Area and Volume
1
Note: Figure is not drawn to scale
If h = 8 units and r = 5 units, then what is the approximate volume of the cone shown above?
Answer:
[tex]209.43 \: \: {units}^{3} [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439[/tex]
David is preparing a report to show
Answer:
cool?
who's david den
Step-by-step explanation:
Answer:
He shoud use a table or chart.
Step-by-step explanation:
I answered this question before
On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00. on day 3, $2.00, etc. How much do students earn on the 9th day
Answer:
255.50
Step-by-step explanation:
If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together
4. The Gold family sold their house for $450,000. They paid a realty
company 6% for selling the house. How much money did they pay the
company? *
Answer:
27,000
Step-by-step explanation:
$450,000 x 0.06= $27,000
0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.
I really need help!! HELP ASAP PLEASE!!!
Which figure has an area of 12 square units?
Answer:
Should be the bottom one
Step-by-step explanation:
You can find this by counting. It is the only one with 12 units.
Answer:
Step-by-step explanation:is number 4 i pick it and its correct
Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be
retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into
a retirement savings account that will earn 12% compounded monthly. Then one year after
making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after
he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum
worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%
compounded monthly. How much should the monthly deposits be for his retirement plan?
Answer:
Step-by-step explanation:
Today's Age = 30
Retirement Age = 64
Total Monthly Deposits = ( 64 - 30 ) * 12 = 408
In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%
Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%
Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )
= $100,000 * 7.4864
= $748,642.20
Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )
= $1,000,000 * 0.050535
= $50,534.52
Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52
= $799,176.70
Now the monthly deposit be X
= X * FVAF ( 408 , 1% ) = $799,176.70
= X * 5752.85 = $799,176.70
X = $138.918
Therefore Monthly Deposit = $138.92
tommy has a car with a 22-gallon gas tank that yields 16 miles per gallon. How far can he drive on a full tank of gas?
Answer:
On a full tank of gas, Tommy can drive a distance:
D = 22 x 16 = 352 miles
Hope this helps!
:)
Answer:352 miles
Step-by-step explanation:
1 gallons for 16 miles
22 gallons for ______
For 22 gallons 22x16=352 miles
I really need some HELP.............
Answer:
119000
Step-by-step explanation:
The median is the middle value when placed from smallest to largest
95000, 112000, 126000, 13000
The middle is between 112000 and 126000 so take the average
(112000+126000)/2 =238000/2 =119000
Solve 5(5x + 3) = -10
Answer: it is -1
Step-by-step explanation:
5*5x=25x
5*3=15
25x+15=-10
25x= -10-15
25x= -25
X=-25/25
= -1
What is the number of possible permutations of 5 objects taken 2 at a time? A. 10 B. 20 C. 60 D. 120
Answer:
B. 20
Step-by-step explanation:
5P2 is equal to 20 using the permutation formula.
If
f(x) = -4x + 8 and
g(x) = √ x – 1, which statement is true?
Answer:
-3 is not in the domain of f°g
Step-by-step explanation:
f°g=f(g(x))
f(x) = -4(√x-1)+8
*Remember that √x-1 has to be larger than 0
since √-3-1 = √-4, -3 is not in the domain of f°g
Riley is solving a problem to find the number of tents comma sleeping bags comma and backpacks that she should order. She wrote a system of equations and solved the system. She found that her general solution was (x comma y comma z )equals (15 minus 3 z comma 20 plus 2 z comma z )How many solutions are there to her problem?
Answer:
6
Step-by-step explanation:
If we place no restrictions on the values of the variables, there are an infinite number of possible solutions.
In this scenario, it is reasonable to require all variables have non-negative integer values. That restricts the solutions to ...
(x, y, z) ∈ {(15, 20, 0), (12, 22, 1), (9, 24, 2), (6, 26, 3), (3, 28, 4), (0, 30, 5)}
There are 6 solutions to her problem.
Approximate the 5839 to the nearest
1:Ten
2:hundred
Thousand 3:
Answer:
(1): nearest ten is 5840
(2):nearest hundred is 5800
(3):nearest thousand is 6000
Step-by-step explanation:
For nearest ten we get 5840
For nearest hundred we get 5800
For nearest thousand we get 6000
[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.
Answer:
24/36 = 12 x 2/12 x 3 = 2/3.
Step-by-step explanation:
