Answer:
C. This is true. If there is more than one entry equal to 0, all powers of P will contain 0 entries. Hence, there is no power k for which Upper P Superscript k contains all positive entries. That is, P will not satisfy the definition of a regular matrix if it has more than one 0
Step-by-step explanation:
The correct option is C as it represents that by considering a matrix P that involves more than one zero and at the same time the powers for all P has received minimum one zero or it included at least one zero
Therefore the statement C verified and hence it is to be considered to be valid
Hence, all the other statements are incorrect
A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase?
Answer:
$300
Step-by-step explanation:
The couch is sold in two ways; outright payment or installment payment.
Outright payment would cost = $820
Installment payment = down payment + monthly charges
Down payment = $400
Monthly charges for a period of one year (12 months) = 12 × $60
= $720
Installment payment would cost = $400 + $720
= $1120
Amount saved by paying total amount at the time of purchase = $1120 - $820
= $300
Thus, the outright buying the couch would save $300.
A candidate for political office wants to determine if there is a difference in his popularity between men and women. To test the claim of this difference, he conducts a survey of voters. The sample contains 250 men and 250 women, of which 44% of the men and 52% of the women favor his candidacy. Do these values indicate a difference in popularity?Use a 0.01 significance level.
What are the hypothesis statements?
a) H0:pm=pw
HA:pm
b) H0:pm=pw
HA:pm>pw
c) H0:pm=pw
HA:pm≠pw
Answer:
c) H0:pm=pw
HA:pm≠pw
Step-by-step explanation:
We formulate our hypothesis as
H0: pm = pw " probability of men = probabilityof women" meaning there's no difference in the probabilityof the men and women in favor of his candidacy.
Alternate Hypothesis HA :pm≠pw " probability of men ≠ probabilityof women" meaning there's a difference in the probability of the men and women in favor of his candidacy.
the significance level α= 0.01
The test statistic under H0 is
Z = pm- pw/ √p`q` ( 1/n.m + 1/n.w)
pm= probability of men= 0.44
pw= probability of women = 0.52
p`= n.m pm+ n.w pw/ n.m + n.w
p`= 250 *0.44 + 250 *0.52/ 250 + 250
p`= 110 + 130 /500 = 240 /500 = 0.48
q`= 1- p`= 1-0.48= 0.52
Putting the values
Z= 0.44- 0.52/ √ 0.48 * 0.52
z= 0.08 / √0.2496
z= 0.08/ 0.4995
z= 0.1601
The critical region for α= 0.01 is Z= ± 2.58
Conclusion: Since the calculated z = 0.1601 does not fall in the critical region , so we accept the null hypothesis H0:pm=pw and conclude that the data does not appear to indicate that the tow probabilities are different.
Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, there values do not indicate a difference in popularity.
At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is of 0, hence:
[tex]H_0: p_w - p_m = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is different of 0, hence:
[tex]H_1: p_w - p_m \neq 0[/tex]
The proportions and standard errors are:
[tex]p_m = 0.44, s_m = \sqrt{\frac{0.44(0.56)}{250}} = 0.0314[/tex]
[tex]p_w = 0.52, s_w = \sqrt{\frac{0.52(0.48)}{250}} = 0.0316[/tex]
For the distribution of the differences, the mean and the standard error are given by:
[tex]\overline{p} = p_w - p_m = 0.52 - 0.44 = 0.08[/tex]
[tex]s = \sqrt{s_m^2 + s_w^2} = \sqrt{0.0314^2 + 0.0316^2} = 0.0445[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{0.08}{0.0445}[/tex]
[tex]z = 1.795[/tex]
The critical value, for a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.5758[/tex]
Since the absolute value of the test statistic is less than the critical value, there values do not indicate a difference in popularity.
A similar problem, also involving an hypothesis test for a proportion, is given at https://brainly.com/question/24302053
odd function definition
Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid passwords are there with the given restriction(s)? Length is 13. No character repeats.
Answer:
2310789600
Step-by-step explanation:
10 digits + 26 letters = 36
₃₆C₁₃ = 2310789600
Hope this helps, although i am not 100 percent sure its right.
Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
The graph which shows the solution to the system of inequalities is attached in the picture below :
Given the inequalities :
y ≥ 2x + 1
y ≤ 2x - 2
From y ≥ 2x + 1 ;
Since the inequality sign is ≥, a solid line is used to draw the straight line graph of y ≥ 2x + 1
From :
y = mx + c
Where, m = slope ; c = intercept
Hence, a straight line graph with ;
Intercept, c = 1 (where the line crosses the y-intercept)
Slope, m = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality :
0 ≥ 2(0) + 1
0 ≥ 0 + 1
0 ≥ 1
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
From : y ≤ 2x - 2
Since the inequality sign is ≤, a solid line is used to draw the straight line graph of y ≤ 2x - 2
Graph the line y ≤ 2x - 2, with ;
Intercept, c = - 2
Slope = 2
Consider a point, which isn't on the line ;
Take point (0,0) and use it to test the inequality y ≤ 2x - 2:
0 ≤ 2(0) - 2
0 ≤ 0 - 2
0 ≤ - 2
This is false, hence, the portion of the graph which does not contain (0, 0) is shaded.
Learn more : https://brainly.com/question/19670553
Answer:
Its graph B on edge 2022
Step-by-step explanation:
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard. Answer any time! :D
Answer:
181.8 yd
Step-by-step explanation:
The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...
c^2 = a^2 +b^2 -2ab·cos(C)
For the given geometry, this is ...
c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75
c ≈ √33037.75 ≈ 181.8 . . . yards
Marsha's ball is about 181.8 yards from the hole.
Answer:
181.8 yds
Step-by-step explanation:
I got it correct on founders edtell
At the city museum, child admission is $ 5.30 and adult admission is $ 9.40 . On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1206.00 . How many child tickets were sold that day?
Answer:
36 tickets
Step-by-step explanation:
At a city museum, child tickets are sold for $5.30, and adult tickets are sold for $9.40
The total sales that were made are $1206
Let x represent the number of child tickets that were sold
Let y represent the number of adult tickets that was sold
5.30x +9.40y= 1206
The number of adult tickets sold was three times greater than the child tickets
y= 3x
Substitute 3x for y in the equation
5.30x + 9.40y= 1206
5.30x + 9.40(3x)= 1206
5.30x + 28.2x= 1206
33.5x= 1206
Divide both sides by the coefficient of x which is 33.5
33.5x/33.5= 1206/33.5
x = 36
Hence the number of child tickets that were sold that day is 36 tickets
Keith biked 26 miles today and 32 miles yesterday. Which equation shows m, the number of miles he biked all together?
Answer:
m = 26+32
Step-by-step explanation:
To determine the total number of miles biked, add the days together
m = 26+32
Answer:
26+32=m
Step-by-step explanation:
That is the general eqaution of this, because u must add both days worth of biked miles together.
use the foil method to find the product below. (x+3) (x^2-6x)
x^3 - 3x^2 - 18x
Using the FOIL method, I arrived at my solution!
What are some key words used to note addition operations?
Answer:
The correct answer is
For addition, Caulleen used the words total, sum, altogether, and increase. But we could also have used the words combine, plus, more than, or even just the word "and". For subtraction, Caulleen used the words, fewer than, decrease, take away, and subtract. We also could have used less than, minus, and difference.
Step-by-step explanation:
hope this helps u!!!
Add the following polynomials, then place the answer in the proper location on the grid.
2x3 - 4x2 + 6x - 3
29 +6x2 - 8x + 12
- 3x3 + 2x2 - 4x - 7
Help ????????
Answer:
[tex] x^3 - 6x + 2 [/tex]
Step-by-step explanation:
The given polynomials can be added together by adding like terms together as shown below:
=> Add together, the coefficient of all terms that have the power of 3.
[tex] (2x^3) + (x^3) + (-3x^3) [/tex]
[tex] 2x^3 + x^3 - 3x^3 [/tex]
[tex] 3x^3 - 3x^3 [/tex]
[tex] x^3 [/tex]
=> [tex] (-4x^2) + (6x^2) + (2x^2) [/tex]
[tex] -4x^2 + 8x^2 [/tex]
[tex] 4x^2 [/tex]
=> [tex] (6x) + (-8x) + (-4x) [/tex]
[tex] 6x - 8x - 4x [/tex]
[tex] -6x [/tex]
=> [tex] (-3) + (12) +(-7) [/tex]
[tex] -3 + 12 - 7 [/tex]
[tex] 2 [/tex]
The answer = [tex] x^3 - 6x + 2 [/tex]
Answer:
4x^2-6x+2
Step-by-step explanation:
Solve the equation for x 5x-(4x-1)=2 A 1/9 B -1 C -1/9 D 1
Answer:
D
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below 15 and 39
Answer:
36
Step-by-step explanation:
You did not attach a picture, so I just assumed where the lengths of 15 and 39 were.
A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?
Answer:
They completed 13, 3 credit classes
Step-by-step explanation:
1. Make 2 formulas. In this case: x+y=18
and 3x+4y=59
2. Then multiply x+y=18 by 3 and subtract the two equations.
Find y which is 5 and input into the equations. Then find your answer.
how do you find the x- and y-intersepts of an equation
Answer:
To find the x-intercept, simply plug in the value y = 0 into your equation and then solve for x. To find the y-intercept, plug in x = 0 and solve for y.
how to simplify this expression ?
Answer:
[tex]\large \boxed{\sf \ \ \dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{2x+1}{x^2(x+1)} \ \ }[/tex]
Step-by-step explanation:
Hello,
This is the same method as computing for instance:
[tex]\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{3+2}{2*3}=\dfrac{5}{6}[/tex]
We need to find the same denominator.
Let's do it !
For any x real different from 0, we can write:
[tex]\dfrac{1}{x^2}+\dfrac{1}{x^2+x}=\dfrac{1}{x^2}+\dfrac{1}{x(x+1)}\\\\=\dfrac{x+1+x}{x^2(x+1)}=\dfrac{2x+1}{x^2(x+1)}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 109 in. and the height is 198 in.
Answer:
[tex]79591.8872 in^3/s[/tex]
Step-by-step explanation:
we know that the volume of a right circular cone is give as
[tex]V(r,h)= \frac{1}{3} \pi r^2h\\\\[/tex]
Therefore differentiating partially with respect to r and h we have
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [2rh\frac{dr}{dt} +r^2\frac{dh}{dt}][/tex]
[tex]\frac{dV}{dt} = \frac{\pi}{3} [218*198*1.1+109^2*2.4][/tex]
[tex]\frac{dV}{dt} = \frac{\pi}{3} [47480.4+28514.4]\\\\\frac{dV}{dt} = \frac{\pi}{3} [75994.8]\\\\ \frac{dV}{dt} = 3.142 [25331.6]\\\\ \frac{dV}{dt} =79591.8872 in^3/s[/tex]
factorize 3x square+5x
Answer:
x(3x+5)
Step-by-step explanation:
3x^2+5x
take out common factor x
= x(3x+5)
Answer:
[tex]x(3x + 5)[/tex]Step-by-step explanation:
3x² + 5x
Factor out X from the expression
= x ( 3x + 5 )
Hope this helps...
Best regards!!
In a clinical trial, out of patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that % of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than % of this drug's users experience flulike symptoms as a side effect at the level of significance?
Answer:
Step-by-step explanation:
Hello!
Out of 846 patients taking a prescription drug daily, 18 complained of flulike symptoms.
It is known that the population proportion of patients that take the drug of the competition and complain of flulike is 1.8%
Be the variable of interest:
X: number of patients that complained of flulike symptoms after taking the prescription drug, out of 846.
sample proportion p'= 18/846= 0.02
You have to test if the population proportion of patients that experienced flulike symptoms as a side effect is greater than 1.8% (p>0.018)
Assuming that the patients for the clinical trial were randomly selected.
The expected value for this sample is np=846*0.02= 1658 (the expected value of successes is greater than 10) and the sample is less than 10% of the population, you can apply the test for the proportion:
The hypotheses are:
H₀: p ≤ 0.018
H₁: p > 0.018
α: 0.01
[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)
[tex]Z_{H_0}= \frac{0.02-0.018}{\sqrt{\frac{0.018*0.982}{846} } }= 0.437[/tex]
The p-value for this test is 0.331056
The decision rule is
If p-value ≤ α, reject the null hypothesis
If p-value > α, do not reject the null hypothesis
The p-value is greater than α, the decision is to reject the null hypothesis.
So at 1% significance level there is no significant evidence to reject the null hypothesis, you can conclude that the population proportion of patients that took the prescription drug daily and experienced flulike symptoms as a side effect is less or equal to 1.8%
I hope this helps!
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown. Step 1: –c = ax2 + bx Which best explains or justifies Step 1?
Answer:
Subtract c from each side, using the subtraction property of equality
Step-by-step explanation:
0 = ax^2 + bx + c
Subtract c from each side, using the subtraction property of equality
-c = ax^2 + bx + c-c
-c = ax^2 + bx
Answer:
subtract c from each side, so the answer would be D
You are dealt two card successively without replacement from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second is a queen. Round to nearest thousandth
Answer:
0.078
Step-by-step explanation:
The probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]
From the question;
There are two events;
(i) Drawing a first card which is a king: Let the event be X. The probability is given by;
P(X) = [tex]\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}[/tex]
Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.
Also, the total number of sample space = 52, since there are 52 cards in total.
P(X) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]
(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;
P(Y) = [tex]\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}[/tex]
Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4
But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.
P(Y) = [tex]\frac{4}{51}[/tex]
Therefore, the probability of selecting a first card as king and a second card as queen is;
P(X and Y) = P(X) x P(Y)
= [tex]\frac{1}{13} * \frac{4}{51}[/tex] = 0.078
Therefore the probability is 0.078
Pretty much Self explanatory :) I don't understand this...
Answer:
Step-by-step explanation:
you have to keep going cause if you count the fives there's a 25 but right next to the 25 there's 24 all you have to do is watch what your doing just watch your steps
Solve the following system of equations
y = -x^2+3x+18
y = -2x+4
A.) (-7.8) and (2,10)
B.) (2,20) and (11,-18)
C.) (-2,8) and (7,-10)
D.) (-2,-20) and (-11,18)
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
[tex]y = -x^2+3x+18\\y = -2x+4[/tex]
Equating both equations
=> [tex]-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0[/tex]
Using mid term break formula
=> [tex]x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0[/tex]
Either,
x + 2 = 0 OR x - 7 = 0
x = -2 OR x = 7
For, x = -2 , y is
=> y = -2x+4
=> y = -2(-2)+4
=> y = 4+4
=> y = 8
So, the ordered pair is (-2,8)
For x = 7 , y is
=> y = -2(7)+4
=> y = -14+4
=> y = -10
So, the ordered pair for this is (7, -10)
Solution Set = {(-2,8),(7,-10)}
Answer:
The answer is option C
Step-by-step explanation:
y = - x² + 3x + 18
y = - 2x + 4
Since they are both equal to y we equate them
That's,
- x² + 3x + 18 = - 2x + 4
x² - 5x - 14 = 0
Solve the quadratic equation
x² - 5x - 14 = 0
x² + 2x - 7x - 14 = 0
x(x + 2) - 7( x + 2) = 0
( x - 7)(x + 2) = 0
x - 7 = 0 x + 2 = 0
x = 7 x = - 2
Substitute the values of x into y = - 2x + 4
That's
when x = 7 when x = - 2
y = - 2(7) + 4 y = - 2(-2) + 4
y = - 14 + 4 y = 4 + 4
y = - 10 y = 8
So the solutions are
(7 , - 10) and ( - 2 , 8)Hope this helps you
6. Assume that the probability of a driver getting into an accident is 6.4%, the average cost of an
accident is $13,991.05, and the overhead cost for an insurance company per insured driver is $95.
What should this driver's insurance premium be?
Answer:
This driver's insurance premium should be at least $990.43.
Step-by-step explanation:
We are given that the probability of a driver getting into an accident is 6.4%, the average cost of an accident is $13,991.05, and the overhead cost for an insurance company per insured driver is $95.
As we know that the expected cost that the insurance company has to pay for each of driver having met with the accident is given by;
The Expected cost to the insurance company = Probability of driver getting into an accident [tex]\times[/tex] Average cost of an accident
So, the expected cost to the insurance company = [tex]0.064 \times \$13,991.05[/tex]
= $895.43
Also, the overhead cost for an insurance company per insured driver = $95. This means that the final cost for the insurance company for each driver = $895.43 + $95 = $990.43.
Hence, this driver's insurance premium should be at least $990.43.
Answer:115
Step-by-step explanation:
Solve for x in the equation X^2-16^x=0
Answer:
-1/2
Step-by-step explanation:
x^2- 16^x = 0x^2 = 16^xx^2 = 4^2xx = 4^xlogx = xlog41/x×logx = log4log(x^1/x) = log4x^(1/x) = 4At this point you can guess and try. And it seems that x = -1/2, lets check:
(-1/2)^(1 /-1/2)= (-1/2)^-2= 2^2= 4So, this is correct: x= -1/2
A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tall
How many gallons of water are needed to fill the waterbed?
Assume i gallon is 013 cu ft. Round to the nearest whole galon
Hey there! I'm happy to help!
We want to find the volume of this rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.
7×5×1=35 cubic feet
Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.
[tex]\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}[/tex]
In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.
0.13g=35
We divide both sides by 0.13/
g≈269.23
When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.
I hope that this helps! Have a wonderful day! :D
Answer:
Step-by-step explanation:
Since the waterbed is rectangular, its volume would be determined by applying the formula for determining the volume of a cuboid which is expressed as
Volume = length × width × height
Therefore,
Volume of waterbed = 7 × 5 × 1 = 35 cubic feet
1 US gallon = 0.133680556 cubic feet
Therefore, converting 35cubic feet to gallons, it becomes
35/0.133680556 = 261.81818094772 gallons
Rounding up to whole gallon, it becomes 262 gallons
The graph of y=−x+2 is shown below.
Answer:
What is the question?
Step-by-step explanation:
Solving exponential functions
Answer:
approximately 30Step-by-step explanation:
[tex]f(x) = 4 {e}^{x} [/tex]
[tex]f(2) = 4 {e}^{2} [/tex]
[tex]f(2) = 4 \times 7.389[/tex]
[tex]f(2) = 29.6[/tex]
( Approximately 30)
Hope this helps..
Good luck on your assignment..
Answer:
approximately 30
Step-by-step explanation:
[tex]f(x)=4e^x[/tex]
Put x as 2 and evaluate.
[tex]f(2)=4e^2[/tex]
[tex]f(2)=4(2.718282)^2[/tex]
[tex]f(2)= 29.556224 \approx 30[/tex]
Daniels freezer is set to 0degrees Fahrenheit he places a load of bread that was at a temperature of 78 degrees Fahrenheit in the freezer the bread cooled at a rate of 11 degrees Fahrenheit per hour write and graph an equation that models the temperature t of the bread
Answer:
it took 7 hours for the bread to drop at a constent rate
Step-by-step explanation:
g Suppose that twenty different hypothesis tests for whether jellybeans cause acne are conducted. In order that the probability of one or more type I error between these should be at most 0.05, at most what significance level should be used for each of them?
Answer:
The level of significance to be used is α = 0.0025
Step-by-step explanation:
Here, we are interested in calculating the the level of significance which at most must be used for each of the hypothesis test
We proceed as follows;
P(type 1 error) = α
From the question, n = number of hypotheses = 20
P( of one or more type one error) ≤ 0.05
1- P(no type one error) ≤ 0.05
Hence;
1- (1-α)^20 ≤ 0.05
(1-α)^20 ≥ 0.95
1- α ≥ 0.997438621223
α ≤ 0.00256
Thus α = 0.0025