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:
https://brainly.com/question/26197467
What is the volume of a cylinder with a radius of 7.5 cm and a height of 20 cm
In a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten," according to The NDP Group, the market-research company that conducted the poll. A researcher wonders if a smaller proportion of students at her university would respond in the same fashion. Suppose the researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten. A statistician carries out a significance test of the null hypothesis that the proportion wanting to reduce gluten at the university is the same as for all adults versus the alternative hypothesis that a smaller proportion p of students would say they want to reduce or be free of gluten. What is the value of the standardized test statistic for this significance test? A) – 0.100 B) – 1.250 C) 0.200 D) – 1.091
Answer:
The value of the standardized test statistic for this significance test is -1.25.
Step-by-step explanation:
We are given that in a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten".
The researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten.
Let p = population proportion of students wanting to reduce gluten at the university.
So, Null Hypothesis, [tex]H_0[/tex] : p = 30% {means that the proportion wanting to reduce gluten at the university is the same as for all adults}
Alternate Hypothesis, [tex]H_A[/tex] : p < 30% {means that a smaller proportion of students would say they want to reduce or be free of gluten}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of students who would say they want to reduce or be free of gluten = [tex]\frac{5}{25}[/tex] = 0.20
n = sample of students taken = 25
So, the test statistics = [tex]\frac{0.20-0.30}{\sqrt\frac{0.20(1-0.20)}{25} {} }[/tex]
= -1.25
The value of standardized z test statistic is -1.25.
Using the z-distribution, it is found that the value of the standardized test statistic for this significance test is:
D) –1.091
At the null hypothesis, we test if the proportion is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is of less than 0.3, that is:
[tex]H_1: p < 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 25, \overline{p} = \frac{5}{25} = 0.2[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2 - 0.3}{\sqrt{\frac{0.3(0.7)}{25}}}[/tex]
[tex]z = -1.091[/tex]
A similar problem is given at https://brainly.com/question/24166849
is 1 1/12 more than 1 1/3 ?
find four rational number between -1 and -1/2
Answer:
-3/4, -99/100, -7/8, -2/3
Step-by-step explanation:
rational numbers are numbers that can be made by dividing two integers
the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2
f(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Answer:
(f - g)(x)= - 6 {x}^{2} - 8x + 9
(f - g)(-4!)= - 55
Step-by-step explanation:
[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]
Idk what it is asking.
Answer:
Jumbo burger with fried is 75%
chicken with salad is 65%
Step-by-step explanation:
you first split the burger and sides. You add up the sides to find the salad. Then add up the sides and burgers
Answer:
What is the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwich with a Salad? Make an area or tree diagram to help with the problem.
Answer to question: 20% for Jumbo Burger with Regular Fries and 10.5% for Chicken Sandwich with a Salad.
Step-by-step explanation:
You are going to find the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwhich with a Salad by using a area model or a tree diagram. Although you ddin't ask me to solve it, I'm gonna help you with it anyways.
Sandwhiches:
50% - Jumbo Burger (JB)
30% - Chicken Sandwich (CS)
20% - Regular Burger (RB)
Sides:
40% - Curly Fries (CF)
35% - Salad (S)
25% - Regular Fries (RF)
Acronyms
Jumbo Burger (JB) + Curly Fries (CF) = JBCF
Jumbo Burger (JB) + Salad (S) = JBS
Jumbo Burger (JB) + Regular Fries (RF) = JBRF
Chicken Sandwich (CS) + Curly Fries (CF) = CSCF
Chicken Sandwich (CS) + Salad (S) = CSS
Chicken Sandwich (CS) + Regular Fries (RF) = CSRF
Regular Burger (RB) + Curly Fries (CF) = RBCF
Regular Burger (RB) + Salad (S) = RBS
Regular Burger (RB) + Regular Fries (RF) = RBRF
Probability of combinations:
JBCF = 0.5 x 0.4 = 0.20
JBS = 0.5 x 0.35 = 17.5
JBRF = 0.5 x 0.25 = 12.5
CSCF = 0.3 x 0.4 = 12
CSS = 0.3 x 0.35 = 10.5
CSRF = 0.3 x 0.25 = 7.5
RBCF = 0.2 x 0.4 = 8
RBS = 0.2 x 0.35 = 7
RBRF = 0.2 x 0.25 = 5
Your tree diagram should look something like this:
CF(40%)- outcome - JBCF (20%)
/
(50%)JB --- S(35%)- outcome - JBS (17.5%)
\
RF(25%)- outcome - JBRF (12.5%)
CF(40%)- outcome - CSCF (12%)
/
(30%)CS --- S(35%)- outcome - CSS (10.5%)
\
RF(25%)- outcome - CSRF (7.5%)
CF(40%)- outcome - RBCF (8%)
/
(20%)RB --- S(35%)- outcome - RBS (7%)
\
RF(25%)- outcome - RBRF (5%)
Hope this helps because this took forever :D
What’s the correct answer for this?
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would still be 10° because dilation doesn't change angles
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
answer would be A because it u factor it out you will get your initial equation
just need the first question
Answer:
[2,3)
Step-by-step explanation:
[0,1), [0,1),[0,1),[0,1)
[1,2), [1,2),[1,2),[1,2),[1,2),[1,2),[1,2),[1,2)
[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3)
[3,4),[3,4),[3,4),[3,4),[3,4),[3,4),[3,4)
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed?
Answer:
The mean will increase, after the outlier is removed.
A bag contains 1 yellow, 2 blue, 4 green, and 3 red marbles. A marble is drawn and replaced. Then a
second marble is drawn.
Part A
What is P (blue, then blue)?
Part B
What is P (green, then red)?
Answer:
Step-by-step explanation:
total = 1 + 2 + 4 + 3 = 10
blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25
green then red = 4/10 * 3/10 = 12/100 = 3/25
Math question please help
Answer:
y = -7x +8
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
y = mx +b
where m represents the slope, and b represents the y-intercept. The y-intercept is the value of y when x=0. Here, you have m=-7 and b=8. Your equation is ...
y = -7x +8
PLEASE HELP!! DUE!!!!
Write the slope-intercept form of an equation for the line that passes through the given point and is parallel to the graph of the given equation. (−5, 6) and 12x+9y=3
Answer:
The equation is,
[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]
Step-by-step explanation:
When a line is parallel to the other line, they will have the same gradient :
[tex]12x + 9y = 3[/tex]
[tex]9y = - 12x + 3[/tex]
[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]
[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]
We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :
[tex]y = mx + b[/tex]
Let m = -4/3,
Let x = -5,
Let y = 6,
[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]
[tex]6 = \frac{20}{3} + b[/tex]
[tex]b = 6 - \frac{20}{3} [/tex]
[tex]b = - \frac{2}{3} [/tex]
For the following case, assume that the population standard deviation is known and decide whether use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answer. The variable under consideration is very close to being normally distributed, and the sample size is 10. Choose the correct answer below. A. It is not reasonable to use the z-interval procedure in this case since it is very likely that with such a small sample size that there will be outliers in the sample. Knowing that the variable under consideration is very close to being normally distributed does not mean the sample is. B. It is reasonable to use the z-interval procedure in this case since both the sample is large (size 10 or greater) and the variable under consideration is very close to being normally distributed. C. It is reasonable to use the z-interval procedure in this case since, although the sample is small (size less than 15), the variable under consideration is very close to being normally distributed. D. It is not reasonable to use the z-interval procedure in this case because the sample is too small (size less than 15).
Answer:
B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.
Step-by-step explanation:
answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false
Assuming the population variance is known in this case, and examining it using the z-interval approach to obtain a confidence interval for the mean is fair, which can be defined as follows:
Using the z-interval procedure is appropriate in this case because, despite the small sample size (less than 15), the variable in the examination is almost distributed normally. Conformity is fulfilled because the population is normal, and we may utilize the z-interval because the population standard deviation was known.Therefore the final answer is "Option C".
Learn more about the analysis of variance:
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A driveway is 25 meters long how long the driveway in centimeters
Answer:
2500
Explanation : a meter is 100 centimeters long so you would multiply 25 by 100 to get 2500
Answer: 2,500 centimeters
Step-by-step-Explanation: To convert 25 meters into centimeters, we use the conversion factor for meters and centimeters
which is 100 centimeters = 1 meter.
Next, notice that we're converting from a larger unit, meters, to a smaller unit, centimeters and when we go from a larger unit to a smaller unit, we multiply by the conversion factor.
So we multiply 25 by the conversion factor, 100 which gives us 2,500.
So 25 meters = 2,500 centimeters.
Use the figure to find the measures of the numbered angles.
Answer:
Hope this helps pls mark brainliest
Tyson wants to buy some juice pouches. He has four options to choose from.
Which option has the lowest cost per pouch?
O A 8 pouches for $2.04
O B 10 pouches for $2.69
O C 12 pouches for $2.80
O D 16 pouches for $3.80
Explanation:
x = number of pouches
y = cost for having x number of pouches
To find the unit cost, divide y over x
For choices A through D we have the following unit costs
y/x = 2.04/8 = 0.255y/x = 2.69/10 = 0.269y/x = 2.80/12 = 0.233 (approximately)y/x = 3.80/16 = 0.2375We see that 0.233 is the lowest unit cost, so therefore, Choice C is the lowest cost per pouch.
write the ratio 6.5 : 3.25 in the form n : 1
Answer:2:1
Step-by-step explanation:
6.5:3.25
6.5/3.25=2/1
6.5:3.25=2:1
therefore n=2
.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and receive discounts on certain purchases. A typical Saturday morning shopper who does not participate in this program spends $120 on her or his order. In a sample of 80 shoppers participating in the loyalty program, each shopper spent $130 on average during a recent Saturday, with standard deviation $40. Is this statistical proof that the shoppers participating in the loyalty program spent more on average than typical shoppers?a.State the null and the alternative hypotheses.b.Find the p-value of the test.
Answer:
a) Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper
[tex]s=40[/tex] represent the sample standard deviation
[tex]n=80[/tex] sample size
[tex]\mu_o =120[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 120[/tex]
Alternative hypothesis:[tex]\mu > 120[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]
The degrees of freedom are given by:
[tex] df = n-1 = 80-1=79[/tex]
The p value for this case taking in count the alternative hypothesis would be:
[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]
Can someone plz help....!.!.!.!.!!.!.!.!.
Answer:
~ x = 12 centimeters of the route on map ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. We can see that we have to determine the cm of the route on the map, so let us convert the 1.8 kilometers ⇒ centimeters:
1.8 km = 180,000 cm
2. Given the information, let us create a proportionality as such:
1 = 15,000 ⇒ x - centimeters of the route on the map
x 180,000
3. Now let us cross multiply, and solve through simple algebra for x:
15,000 * x = 180,000,
x = 12 centimeters of the route on map
a cinema seats 280 people. if 98 people are in the cinema what percentage of seats are filled?
Answer:
35%
Step-by-step explanation:
The total number of cinema seats can seat 280 people. Since 98 people take up 98 seats of the cinema, they are taking up 98 cinema seats out of the 280 cinema seats originally available.
As a fraction this would be written as [tex]\frac{98}{280}[/tex] .
What you want to do is then divide 98 by 280 or 98/280, to get 0.35.
To get the percentage of seats filled, you must multiply the decimal you get by 100.
So it should look like this and your result should be 35%.
[tex]\frac{98}{280} = 0.35 *100=35[/tex]%
Choose the correct answer.
1. What is the value of the 5
in 5,307?
A5,000
B 500
C 50
D 5
please help !!!!!
Answer:
A. 5,000 is the value.
Step-by-step explanation:
The 5 is in the thousands place.
Answer:
A
Step-by-step explanation:
It is in the thousands place
Avicenna, a major insurance company, offers five-year life insurance policies to -65 year-olds. If the holder of one of these policies dies before the age of 70 , the company must pay out $24,200 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $573 each. Suppose that for each holder of a policy there is a 2% chance that they will die before the age of and 70 a 98% chance they will live to the age of 70.
Answer:
The question is about the least amount to charge each policyholder as premium
The least premium is $484
Step-by-step explanation:
The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years
expected value of dying before 70 years=payout*probability=$24,200*2%=$484
Expected of living after 70=payout*probability=$0*98%=$0
sum of expected values=$484+$0=$484
Note that payout is nil if policyholder lives beyond 70 years
The premium of $573 means that a profit of $89 is recorded
A tv programme begins at 7:45 and ends 50 minutes later what time does it finish
Answer:
8:35
Step-by-step explanation:
if u see every hour has 60 mins in it, so if u see 7:45 can be said as 7 hours and 49 mins
what u have to do is first add the mins, so add 45 and 50
45+50=95
every hour has 60 mins, so convert the mins to secs
95 mins=1hr35mins
and the 1hr35mins to 7:00
1hr35mins+7hr=8hr35mins or 8:35
A tv program begins at 7:45 and ends 50 minutes later the TV program ends at 8:35.
What is time?In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.
We know that every hour has 60 minutes in it.
In 7:45 it has 7 hours and 45 minutes
The TV program duration is 50 minutes
So, 45+50=95
Now, 95 minutes has 1 hour 35 minutes
Add 1 hour 35 minutes to 7:00
That is, 7 hours + 1 hour 35 minutes
= 8 hours 35 minutes
Therefore, the TV program ends at 8:35.
Learn more about time here:
https://brainly.com/question/15356513.
#SPJ3
Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 20% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female.
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is_____.
P = Desired outcomes divided by the total outcomesm me
Answer:
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Prefers swimming on weekends.
Event B: Being female.
25% prefer swimming on weekends
This means that [tex]P(A) = 0.25[/tex]
It is found that 20% of the members in that city prefer swimming on weekends and are female
This means that [tex]P(A \cap B) = 0.2[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average.
Which of the following statements is an accurate description of the elements of this survey?
(A) Population: the 120 students surveyed. Parameter of interest: the average number of hours a student at this high school sleeps per night.
(B) Sample: the 1200 students of the school. Population: all high school students in the United States. Statistic: the average number of hours a student at this high school sleeps per night
(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.
(E) This is not a survey because a convenience sample was used.
Answer:
Step-by-step explanation:
Hello!
To estimate the average number of hours a student their highschool sleeps per night, the students of the statistics class took as sample the first 120 students that arrived at the school on a particular day, out of the 1200 student population, and asked how many hours of sleep they got the night before.
The population of interest is the entire group of experimental units that exists in the world, in this example is the student body of the high school: 1200 students.
The sample is formed by the students that were interviewed: 120 students.
The parameter of interest is the average sleep time per night of the students in high school.
Correct answer:
(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.
7.6 cm
3.7 cm
Find the area of the parallelogram.
Answer:
7cm²
Step-by-step explanation:
On a team, 8 girls and 5 boys scored a total of 94 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 34. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy
Answer:
g = 8 points
b = 6 points
Step-by-step explanation:
If each girl scores g points, and each boy scores b points, then:
8g + 5b = 94
8g − 5b = 34
Add the equations together.
16g = 128
g = 8
Solve for b in either equation.
8(8) + 5b = 94
5b = 30
b = 6
Raven is considering taking out a 30-year loan with monthly payments of
$145 at an APR of 1.3%, compounded monthly, and this equates to a loan of
$43,205.56. Assuming that the APR and the length of the loan remain fixed,
which of these is a correct statement?
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
