Answers
Answer:
Augmented matrix
Step-by-step explanation:
Since we have the bar, we automatically know it is an augmented matrix.
I don't think a coefficient matrix is a real thing (unless you are converting from systems of equations to matrix form).
Augmented matrix in RREF form would only have 1's and 0's on the left hand side of the bar.
Augmented matrix in REF form would also have 1's and 0's on the left hand side of the bar.
Related Questions
The top speed you will ever need
to go in a parking lot is
O A. 20 mph
OB. 10 mph
OC. 1 mph
D. 15 mph
Answers
Answer:
10 mph
Step-by-step explanation:
The top speed you will ever need to go in a parking lot is 10 mph.
15 mph is the fastest you should ever drive in a parking lot. The right answer is D.
What is National Motorists Association?The National Motorists Association was established in 1982 and is a divisive nonprofit advocacy group representing drivers in North America.
The Association promotes engineering standards that have been demonstrated to be effective, justly drafted and applied traffic legislation, and full due process for drivers.
Given to give information about the top speed you will ever need
to go into a parking lot is,
A group of drivers came together to form the National Motorists Association, Inc., a non-profit organization, to defend drivers' rights in the legal system, on the highways, and inside our cars.
Usually, there are marked speed limits in parking lots. Obey speed limits when you see them to avoid tickets and to keep everyone safe.
The National Motorists Association advises driving no faster than 15 miles per hour at all times when there are no written speed limits.
Therefore, the correct option is D.
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Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention.
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of σσ = $1600 may be assumed. What is the p-value?
c. At αα = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Answers
The α = 0.05 and the p-value (0.034) is less than α, we reject the null hypothesis. There is sufficient evidence to support the researcher's contention that last-minute filers receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.
a.
Hypotheses:
Null Hypothesis [tex](H_0)[/tex]: There is no difference in the average tax refund amount between early filers and last-minute filers .
Alternative Hypothesis [tex](H_a)[/tex]: Last-minute filers receive lower average tax refunds than early filers.
Mathematically:
[tex]H_0[/tex]: μ_last_minute = μ_early
[tex]H_a[/tex]: μ_last_minute < μ_early
where:
μ_last_minute = population mean refund for last-minute filers
μ_early = population mean refund for early filers
b.
Given information:
Sample mean for last-minute filers = $910
Population standard deviation (σ) = $1600
Sample size (n) = 400
To calculate the test statistic and the p-value, use the formula:
[tex]z = (\bar x - \mu) / (\sigma / \sqrt n)[/tex]
Where:
[tex]\bar x[/tex] = sample mean
μ = hypothesized population mean under the null hypothesis
σ = population standard deviation
n = sample size
Plugging in the values:
z = ($910 - $1056) / ($1600 / √400)
z = ($910 - $1056) / ($1600 / 20)
z = -$146 / 80
z ≈ -1.825
c.
To find the p-value associated with the test statistic, use a standard normal distribution table. For a one-tailed test with a z-score of -1.825, the p-value is approximately 0.034.
d.
Critical value approach:
To perform the hypothesis test using the critical value approach, we first need to find the critical value corresponding to α = 0.05 and a one-tailed test.
For a significance level (α) of 0.05, the critical value is approximately -1.645.
Now, the test statistic we calculated previously was -1.825.
Conclusion: The p-value is less than α, we reject the [tex](H_0)[/tex].There is sufficient evidence to support the researcher's contention that last-minute filers receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.
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A market researcher finds the price of several brands of fabric softener. What is the level of measurement of the data?
Answers
Answer:
ratio
Step-by-step explanation:
The levels of measurement are ...
NominalOrdinalIntervalRatioBoth interval and ratio level measurements deal with numerical data. The difference is that ratio-level measurements use a numerical scale that includes an absolute zero, and scale values are proportional to the quantity they represent.
Price data is a ratio level of measurement.
I need help please!!!!
Answers
Answer:
1/3( x-5)= -2/3
Multiply both sides by 3
x = 3
Step-by-step explanation:
1/3( x-5)= -2/3
Multiply both sides by 3
3*1/3( x-5)= -2/3*3
x-5 = -2
Add 5 to each side
x-5+5 = -2+5
x = 3
Answer:
1/3( x-5)= -2/3
Multiply both sides by 3
x = 3
Step-by-step explanation:
1/3( x-5)= -2/3
Multiply both sides by 3
3*1/3( x-5)= -2/3*3
x-5 = -2
Add 5 to each side
x-5+5 = -2+5
x = 3
Hope this helps!
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the coin has probability p of coming up heads. Let N,TTH be the number of coin flips until TTH first appears. What value of p minimizes Ex[N,TTH]
Answers
Answer:
[tex]P = \frac{1}{3}[/tex]
Step-by-step explanation:
The calculation of the value of p minimizes is shown below:-
We will assume the probability of coming heads be p
p(H) = p
p(T) = 1 - P
Now, H and T are only outcomes of flipping a coin
So,
P(TTH) = (1 - P) = (1 - P) (1 - P) P
= (1 + P^2 - 2 P) P
= P^3 - 2P^2 + P
In order to less N,TTH
we need to increase P(TTH)
The equation will be
[tex]\frac{d P(TTH)}{dP} = 0[/tex]
3P^2 - 4P + 1 = 0
(3P - 1) (P - 1) = 0
P = 1 and 1 ÷ 3
For P(TTH) to be maximum
[tex]\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}[/tex]
= 6P - 4
and
(6P - 4) is negative which is for
[tex]P = \frac{1}{3}[/tex]
Two similar cylinders have volumes 125 and 216. The radius of the smaller cylinder is 3. Find the radius of the larger cylinder.
Answers
Answer:
The radius of the larger is 3 3/5 cm or 3.6 cm
Step-by-step explanation:
The ratio of the volumes is that is related to the scale factor cubed
125/216 = (sf) ^3
Taking the cube root of each side
(125/216)^1/3 = (sf) ^3 ^(1/3)
5/6 = (sf)
That means the ratio of the radii is in the same proportion
5/6 = 3/ r
Using cross products
5r = 6*3
5r/5 = 18/5
r = 18/5 = 3 3/5
What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i? f(x) = x2 – 2x + 2 f(x) = x3 – x2 + 4x – 2 f(x) = x3 – 3x2 + 4x – 2 f(x) = x2 – x + 2
Answers
Answer:
C.
Step-by-step explanation:
edge 2020
C on edge is f(x) = x3 – 3x2 + 4x – 2
Step-by-step explanation:
True or False?
2 is a solution to 8m - 6 < 10
True
False
Answers
Answer:
2 is not a solution
False
Step-by-step explanation:
8m - 6 < 10
Add 6 to each side
8m -6+6 < 10+6
8m < 16
Divide by 8
8m/8 <16/8
m < 2
m must be less than 2
2 is not a solution
Answer:
FALSE
Step-by-step explanation:
Trust Me
find the odds in favor of drawing a red marble whyen a marble is selected at random from a bag containing 2 yellow, 5 red and 6 green marbles
Answers
Answer:
The odd in favor of drawing a red marble is 5:8
Step-by-step explanation:
Let’s calculate the probability of selecting a red marble
That would be;
number of red marbles/Total number of marbles
Total number of marbles = 2 + 5 + 6 = 13
So the probability of drawing a red marble is 5/13
The probability of not drawing a red marble = 1-5/13 = 8/13
So the odd in favor of drawing a red marble is 5:8
Brenda is going from $(-4,5)$ to $(5,-4)$, but she needs to stop by the origin on the way. How far does she have to travel?
Answers
Answer:
2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.
Step-by-step explanation:
Given that:
Brenda starts from point [tex](-4,5)[/tex] to [tex](5,-4)[/tex]
Let point P [tex](-4,5)[/tex] and Q [tex](5,-4)[/tex].
But given that she need to stop by origin O[tex](0, 0)[/tex].
So, she travels from P to O first and then goes form O to Q.
Please refer to the attached figure for better understanding.
We need to find the distance PO + OQ to find the total distance traveled by Brenda.
We can use Distance formula :
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PO:
[tex]x_2 = 0\\x_1 = -4\\y_2 = 0\\y_1 = 5[/tex]
[tex]PO = \sqrt{(0-(-4))^2+(0-5)^2}\\\Rightarrow PO = \sqrt{(4)^2+(5)^2} = \sqrt{41}\ units[/tex]
Similarly, For OQ:
[tex]x_2 = 5\\x_1 = 0\\y_2 = -4\\y_1 =0[/tex]
[tex]OQ = \sqrt{(5-0)^2+(-4-0)^2}\\\Rightarrow OQ = \sqrt{(5)^2+(4)^2} = \sqrt{41}\ units[/tex]
So, the total distance traveled = PO + OQ = [tex]\sqrt{41}+\sqrt{41}=2\sqrt{41}\ units[/tex]
2[tex]\sqrt{41}[/tex] units is the distance that Brenda is going to travel.
Multiply.
(3x+ 5)(3х - 5)
Answers
Answer:
9x^2-25
Step-by-step explanation:
You can solve this problem by using FOIL:
- FOIL (First, Outer, Inner, Last)
First: 3x*3x= 9x^2
Outer: 3x*-5= -15x
Inner: 3x*5 = 15x
Last: 5*-5= -25
Now add what we got together:
9x^2 -15x +15x -25
Answer: 9x^2 - 25
Note: Whenever when we see conjugates(coefficients of variables are same but real numbers are opposites) like these we can ignore the outer and inner of the foil process as they cancel out.
Hope this helps!
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Hi my lil bunny!
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[tex]9x^2 - 25[/tex]
Explanation:
[tex]( a + b) ( a - b ) = a^2 - b^2[/tex]
Substitute with 3x and b with 5:
[tex](3x + 5) (3x - 5) = (3x)^2 - 5^2\\[/tex]
[tex]= 9x^2 - 25[/tex]
∴ [tex]( 3x + 5) ( 3x - 5) = 9x^2 - 25[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
(x + 1) (x+8) multiply binomials and put in standard form.
Answers
Answer:
x² + 9x + 8
Step-by-step explanation:
Step 1: FOIL
x² + 8x + x + 8
Step 2: Combine like terms
x² + 9x + 8
Answer:
x^2 + 9x + 8
Step-by-step explanation:
(x + 1)(x + 8)
x(x + 1) +8(x + 1)
x^2 + x + 8x +8
x^2 + 9x + 8
Currently, I am $9$ times as old as my son. Next year, I will be $7$ times as old as my son. How old is my son now?
Answers
Answer:
He is 3 years old.
Step-by-step explanation:
3 times 9 is 27. She is 9 times older than her 3 year old son.
Next year he will be 4 and she will be 28. 4 times 7 is 28. She will be 7 times older than her son.
Answer:
The son is 3 years now.
Step-by-step explanation:
Let x and y represent his age and his son's age respectively.
Given;
I am $9$ times as old as my son
9y = x ........1
Next year, I will be $7$ times as old as my son.
7(y+1) = x + 1 ....2
Substituting equation 1 to 2;
7(y+1) = 9y + 1
7y + 7 = 9y + 1
Collecting the like terms
9y - 7y = 7 -1
2y = 6
y = 6/2 = 3
Since x = 9y
x = 9(3)
x = 27
The son is 3 years and he is 27 years now.
In a survey of 623 adults, 95 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys. Use a TI-83, TI-83 plus, or TI-84 calculator, rounding your answers to three decimal places.
Answers
Answer:
The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 623, \pi = \frac{95}{623} = 0.153[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.153 - 2.575\sqrt{\frac{0.153*0.848}{623}} = 0.116[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1525 + 2.575\sqrt{\frac{0.153*0.845}{623}} = 0.19[/tex]
The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).
Avery wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 32% and the other bank is offering a rate of 3%
compounded annually. If Avery decides to deposit $7,000 for 5 years, which bank would be the better deal?
Answers
Answer:
If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%
compounded annually
Step-by-step explanation:
In order to calculate which bank would be the better deal If Avery decides to deposit $7,000 for 5 years, we would have to make the following calculation:
simple interest rate of 32%.
Therefore, I= P*r*t
=$7,000*32%*5
=$11,200.
compound interest rate of 3%
Therefore, FV=PV(1+r)∧n
FV=$7,000(1+0.03)∧5
FV=$8,114.
If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%
compounded annually
Which geometric shape could be used to model the building? a tall building that has a quadrilateral base and quadrilateral sides A. Cylinder B. Pyramid C. Cone D. Rectangular prism
Answers
Answer:
D. Rectangular prism
Step-by-step explanation:
The reason why is the tower is like a rectangular prism.
Also I've taken the test before and I had this question and got it correct.
Hope this helps!!!
Answer:
Rectangular Prism
Step-by-step explanation:
A tower is essential a long rectangular prism. The tower in the picture bears NO resemblance to a circle, so A and C can be ruled out. The tower also doesn't slope towards a point, so B is also wrong. We are left with D as our answer.
Select the fraction that is equivalent to 2/6 ?
Answers
Answer:
The fraction that is equivalent to 2/6 is 1/3
Find the values of x and y.[tex]x = 34\sqrt3 y = 17\\x = y = 34, y = 17\sqrt3\\x= y = 17, y = 34\sqrt3\\\\\\x= 17\sqrt3 y = 34[/tex]
Answers
Answer:
The value of "x" is 34 and the value of "y" is 17.
Step-by-step explanation:
"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.
In a class of 25 students, 18 of them brought in permission slips for a field trip.
(a) What fraction of the students brought in
(b) Determine the percentage of students who
permission slips?
brought in permission slips by changing
the fraction in (a) to an equivalent fraction
with a denominator of 100.
(c) Convert the fraction you found in (a) to a
decimal using long division.
(d) How does your answer in (c) correspond
to your answer in (b)?
Answers
Answer:
A.18/25
B.72% of them brought in their permission slips
C.0.72
D.There the exact same value and we would divide by 100 to go from percentage to decimal and multiply by 100 to go to decimal to percentage Sign.
Step-by-step explanation:
What’s the answer to this question?
Answers
Answer: B
Step-by-step explanation:
(f+g)(x) means f(x)+g(x). It is saying to add f(x) and g(x). Since we were given f(x) and g(x), we can directly add them together.
(f+g)(x)=4x+2+x²-6 [combine like terms]
(f+g)(x)=x²+4x-4
Now that we have found (f+g)(x)=x²+4x-4, the answer is B.
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A pre-liminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 6 minutes. A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used? B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?
Answers
Answer:
Using a 90% confidence level
A. A sample size of 68 should be used.
B. A sample size of 98 should be used.
Step-by-step explanation:
I think there was a small typing mistake and the confidence level was left out. I will use a 90% confidence level.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used?
We have the standard deviation in minutes, so the margin of error should be in minutes.
72 seconds is 72/60 = 1.2 minutes.
So we need a sample size of n, and n is found when M = 1.2. We have that [tex]\sigma = 6[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1.2 = 1.645*\frac{6}{\sqrt{n}}[/tex]
[tex]1.2\sqrt{n} = 6*1.645[/tex]
[tex]\sqrt{n} = \frac{6*1.645}{1.2}[/tex]
[tex](\sqrt{n})^{2} = (\frac{6*1.645}{1.2})^{2}[/tex]
[tex]n = 67.65[/tex]
Rounding up.
A sample size of 68 should be used.
B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?
Same logic as above, just use M = 1.
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.645*\frac{6}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 6*1.645[/tex]
[tex](\sqrt{n})^{2} = (6*1.645)^2[/tex]
[tex]n = 97.42[/tex]
Rounding up
A sample size of 98 should be used.
The largest fish ever caught in Lake A weighed 650 pounds. This is 208.2 pounds less than seven times the weight of the largest fish ever caught in Lake B. Find the weight of the largest fish caught in Lake B nts
Answers
Answer:
122.6 pounds
Step-by-step explanation:
Let's call the weight of the largest fish from lake A 'x', and the weight of the largest fish from lake B 'y'.
If x is 208.2 pounds less than seven times y, we have that:
[tex]x = 7y - 208.2[/tex]
We know that x is equal 650 pounds, so we can find y:
[tex]650 = 7y - 208.2[/tex]
[tex]7y = 650 + 208.2[/tex]
[tex]7y = 858.2[/tex]
[tex]y = 122.6\ pounds[/tex]
So the weight of the largest fish caught in Lake B is 122.6 pounds
Which expression is equivalent to b^-2/ab^-3? Assume a doesn’t equal 0, b doesn’t equal 0
Answers
Answer:
Step-by-step explanation:
hello
[tex]\dfrac{b^{-2}}{ab^{-3}}=a^{-1}b^{-2+3}=a^{-1}b=\dfrac{b}{a}[/tex]
hope this helps
Find the measure of angle 4
Answers
Answer:
angle four measures 45°
Step-by-step explanation:
(see picture)
Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each
notebook costs $3. Which of the following graphs represents the possible
combinations of pens and notebooks that she may purchase?
Answers
Answer:
B.
Step-by-step explanation:
Let's call x the number of pens and y the number of notebooks that Monique can buy.
If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.
Additionally, she is going to spend a maximum of $36. so:
2x + 3y [tex]\leq[/tex] 36
It means that the line that separated the region is:
2x + 3y = 36
This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B
Find the value of x and simplify completely.
Answers
Answer:
x=9√10Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.
To find: 'x' the larger leg of triangle
Solution,
Using let rule for similarity in right triangle:
[tex] \frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10} [/tex]
Hope this helps...
Good luck on your assignment..
THE VALUE OF (-3)raised to 4 is
Answers
Step-by-step explanation:
81
I think this should be the answer
The amount of simple interest earned, n, varies jointly with the rate of interest, r, and the number of years, t. The simple interest earned is $225 when the rate of interest is 4.5% for 4 years. Using the variables r, and t, find the equation that represents this relationship.
Answers
Answer:
$225 = $1250*0.04*4
Step-by-step explanation:
The appropriate formula to use here is i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction, and t is the number of years.
Here:
$225 = p*0.045*4 represents this relationship. p, the principal, is not given, but can be calculated from the above equation:
$225
p = -------------------- = $1250
0.045*4
Then the given relationship is
$225 = $1250*0.04*4
Answer:
n = $1250rt
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
2/3
Step-by-step explanation:
There are 4 numbers that fit the rule, 3, 4, 7, 8 since they are either less than 5 or greater than 6. There are 6 numbers so the chance would be 4/6 or simplified, 2/3.
Answer:
2/3
Step-by-step explanation:
There are 6 options, 2 of them > 6 and 2 of them < 5
P (greater than 6 or less than 5)= 4/6= 2/3
Invoice Date Terms Date Goods Received June 28 4/8 ROM July 27
Answers
Answer:
The answer is "August 4".
Step-by-step explanation:
In the given discount term after receipt of the dates is [tex]\bold{\frac{4}{8}}\\\\[/tex] ROM, which can be defined as follows:
[tex]\Rightarrow 27 \ July + 8 \\\\\Rightarrow 4 \ August[/tex]
That's why the final answer is 'August 4'.