Answer:3hk - 12.4h
Step-by-step explanation:
h(3k-12.4)
h x 3k - h x 12.4
3hk - 12.4h
given that the quadratic equation (k^2-1)x^2-2kx+3k+1=0 has equal roots show that 3K^3-3K-1=0
Step-by-step explanation:
The roots are equal, so the discriminant equals 0.
b² − 4ac = 0
(2k)² − 4 (k²−1) (3k+1) = 0
4k² − 4 (3k³ + k² − 3k − 1) = 0
k² − (3k³ + k² − 3k − 1) = 0
k² = 3k³ + k² − 3k − 1
0 = 3k³ − 3k − 1
simplify the expression (3k / 8)^2
Answer:
9k/64^2 (9k^2/64^2)
Step-by-step explanation:
Answer:
9k^2/64
Step-by-step explanation:
3*3=9
k*k=k^2
8*8=64
if you had a sale price of $40 and the percent of your discounts 25% what was the original price.
Answer:
$ 50
Step-by-step explanation:
Original price = Sale price + discount
= 40 + 25% of 40
= 40 + 0.25 * 40
= 40 + 10
Original price = $50
A large trucking company wants to estimate the proportion of its tracker truck population with refrigerated carrier capacity. A random sample of 200 tracker trucks is taken and 30% of the sample have refrigerated carrier capacity. The 95% confidence interval to estimate the population proportion is _______.
Answer:
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
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 = 200, \pi = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.2365[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.3635[/tex]
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
A family plan to catch a ferry and need to book in at 12:02 am. The journey to the ferry port will take 2 hours 45 minutes. What time should they leave home in order to get to the ferry port on time?
Answer:
DEEZNUUTZZZ
Step-by-step explanation:
If one box plot ranges from 25 to 85 and another boxplot ranges from 128 to 188, they will have the same range of what?
Answer:
They have the same range of 60.
Step-by-step explanation:
85-25=60
188-128=60
Evaluate the related series described 4 - 12 + 36 - 108 n=6
Answer:
11/54 is n did you want it in decimal form 0.2037 bar on top of 03
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)
Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
Let's denote:
x: the time both trains traveled.
Then, we have:
70x + 80x = 390
=> 150x = 390
=> x = 390/150 = 2.6 hour
Answer:
2.6 hours ( or 2 hours 36 minutes).
Step-by-step explanation:
The combined speed is 70+80 = 150 mph.
Speed = distance / time, so time = distance / speed.
So the time when they will meet
= 390 / 150
= 2.6 hours.
2. Solve 2 tan x + 6 = -tan x + 3 on [0, 2(pie))
Your answer
The speeds in miles per hour of seven randomly selected qualifiers for the Indianapolis 500 (in 2012) are listed below. Estimate the mean qualifying speed with 95confidence. Round your answers to four decimal places.
223.684 222.929 226.240 224.037 226.484 225.172 223.422
Answer:
Mean qualifying speed
= 224.5669mi/hr
Speed that passed the average/mean
= 226.240mi/hr ,224.037mi/hr 226.484mi/hr, 225.172 mi/hr
Step-by-step explanation:
Let's understand what mean is then understand what mean qualifying speed is.
First mean is like the average of the seven speed listed below.
So let's find the mean.
Mean = (223.684+ 222.929+ 226.240
+224.037 +226.484+ 225.172
+223.422)/7
Mean = 1571.968/7
Mean = 224.5669
So the mean qualifying speed is those speed that qualifies when the mean is taken, i.e the speed that crossed the average.
Mean qualifying speed are
=226.240 ,224.037,226.484
, 225.172
Elijah and Bentley go to the movie theater and purchase refreshments for their friends.
Elijah spends a total of $59.00 on 4 bags of popcorn and 10 drinks.
Bentley spends a total of $90.00 on 8 bags of popcorn and 6 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Answer:
x4+y10=59
Step-by-step explanation:
Answer: let P stand for the popcorn and D stand for the drink. Use substitution method
equation: 4P+10D=59 and 8P+6D=90
One drink is 2 dollar and one popcorn is 9.75 dollar.
Step-by-step explanation:
Start with 8P+6D=90, subtract 6D from both side and you will get 8P=90-6D then divide both side by 8 and you will get P=(45/4)-(3/4D) then substitute the P in the 4P+10D=59 with (45/4)-(3/4D) and the equation will be 4(45/4)-(3/4D)+10D=59. then distribute the 4 and get 45-3D+10D=59 then add the like term and get 45+7D=59 then subtract 45 from both side and get 7D=14 the divide 7 on both side and you will end up with D=2. then substitute the D in the 8P+6D=90 with 2 and the equation will be 8P+6(2)=90 then you distribute the 6 and get 8P+12=90 then subtract both side to get 8P=78 then divide both side by 8 and get 9.75. Popcorn cost $9.75 and drink cost $2.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. x=2 ± √13
Explanation:
Let the process of getting through undergraduate school be a homogeneous Markov process with time unit one year. The states are Freshman, Sophomore, Junior, Senior, Graduated, and Dropout. Your class (Freshman through Graduated) can only stay the same or increase by one step, but you can drop out at any time before graduation. You cannot drop back in. The probability of a Freshman being promoted in a given year is .8; of a Sophomore, .85; of a Junior, .9, and of a Senior graduating is .95. The probability of a Freshman dropping out is .10, of a Sophomore, .07; of a Junior, .04; and of a Senior, .02.
1. Construct the Markov transition matrix for this process.
2. If we were more realistic, and allowed for students dropping back in, this would no
longer be a Markov process. Why not?
3. Construct the Markov transition matrix for what happens to students in four years.
What is the probability that a student who starts out as a Junior will graduate in that
time?
Answer:
sorry dont know
Step-by-step explanation:
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8[/tex]
on a piece of paper, graph f(x)= {x if x<2 2 if x>2}
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
the person above is correct
Step-by-step explanation:
:p
Given the speeds of each runner below, determine who runs the fastest.
Noah runs 15 feet per second.\text{Noah runs 15 feet per second.}
Noah runs 15 feet per second.
Jake runs 101 feet in 8 seconds.\text{Jake runs 101 feet in 8 seconds.}
Jake runs 101 feet in 8 seconds.
Debbie runs 1 mile in 455 seconds.\text{Debbie runs 1 mile in 455 seconds.}
Debbie runs 1 mile in 455 seconds.
Stephanie runs 869 feet in 1 minute.\text{Stephanie runs 869 feet in 1 minute.}
Stephanie runs 869 feet in 1 minute.
Answer:
Stephanie runs the fastest.
Step-by-step explanation:
Answer:
noah
Step-by-step explanation:
a clock chimes once at 1, twice at 2
Answer:
3 times at 3
Step-by-step explanation:
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Which set of numbers shows all the factors of 18?
1.2.3.6. 9.18
1.3.6.18
9.18. 27. 36
18. 36, 54, 72, 90
My Progress >
Answer:
the first set of numbers
Step-by-step explanation:
the first set if numbers shows all the factors of 18
Can anyone help please? With questions 4 please
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
Write one digit on each side of 73 to make a four digit multiple of 36. How many different solutions does this problem have?
Answer: an option is 2736
and we only have two possible solutions, the other is 6732
Step-by-step explanation:
we want to write a number:
a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.
Now, we know that 36 is multiple of 6, so 6*6 = 36
The multiples of 36 are always even numbers, so we can discard all the odd options for b.
We also can discard the option a = 0, because we want a 4 digit number.
now, let's do it by brute force.
if a = 1, we have:
173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.
if a = 2
273b
when b = 6, we have:
N = 2736, that is divisible by 36 as:
2736/36 = 79, so this is a multiple of 36.
now, you can keep changing the value of a and find all the different possible solutions.
if a = 3,
373b is not divisible by 36 for any value of b
if a = 4
473b is not divisible by 36 for any value of b
if a = 5
573b is not divisible by 36 for any value of b
if a= 6
673b it is divisible by 36 when b = 2.
6732/36 = 187
if a = 7
773b is not divisible by 36 for any value of b
if a = 8
873b is not divisible by 36 for any value of b
if a = 9
973b is not divisible by 36 for any value of b
So we only have two possible solutions
The different solutions this problem have are 2736 and 6732.
What is a Digit?This is a part of a number which consists of numerals from 0 to 9.
a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.
All multiples of 36 are always even numbers, so odd number options for b isn't considered.
If a = 2 when b = 6, we have: it is divisible by 36 when b = 2.
N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.
673b is divisible by 36 when b = 2.
N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.
Hence, the two values are 2736 and 6732.
Read more about Digits here https://brainly.com/question/13124157
An aquarium 7 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters below the top of the tank. Enter xi* as xi.)
Answer:
8575 joules
Step-by-step explanation:
We have that the volume is given as follows:
v = 7 * 1 * delta x
v = 7 * delta x
we know that the density: mass / volume
therefore the mass is:
mass = volume * density
replacing:
mass = 7 * delta x * 1000
mass = 7000 * delta x [kg]
now we know that force equals mass * acceleration:
F = 7000 * delta x * 9.8 m / s ^ 2
F = 68600 * delta x [N]
Now, we multiply by x meters, to calculate the work:
W = F * x
W = 68600 * delta x * x
W = 68600 * delta x [J]
We know that the portion of the chian x to x + delta x to be the following
limit when n tends to infinity of the sum of i = 1 up to n = infinity of 68600 * xi * delta x
therefore, the total work done to pump half of the water out of the aquarium is:
To the integral of 68600 * x * dx from 0 to 1/2, applying the integral we have:
68600 * x ^ 2/2 [x = 0 to x = 1/2]
68600 * ((1/2) ^ 2) / 2 - 68600 * (0 ^ 2) / 2 = 8575
That is to say that the work is 8575 joules
A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.
Answer:
The answer is
6.25×30= 18.75
I'm not sure but this is what I think
Vocabulary Drag the words to show how theoretical probability and experimental probability differ. Each word may be used only once.
Theoretical
Experimental
probability is based on expected or calculated results.
probability is based on the actual recorded results of an
experiment.
Answer:
Theoretical --- probability is based on expected or calculated results.
Experimental --- probability is based on the actual recorded results of an experiment.
Step-by-step explanation:
Theoretical assumptions are those hypotheses not proven to be real, whose probabilities of materializing depend on the future confirmation of the premises established. Thus, these theories are established based on different experiences and previous situations, or based on data still not scientifically proven.
Instead, the experimental results are those that have already been confirmed based on tests, tests and experiments that affirm or deny the previously established theories.
Brainliest giving to who gets this CORRECT first. Check all that apply.
Answer:
D.
Step-by-step explanation:
a² -b²= (a-b)(a+b)
100x²-49y²= (10x-7y)(10x+7y)
Answer:
Answer is D
Step-by-step explanation:
The difference of the squares method is a short-cut method that is expressed a2 - b2 = ( a + b ) *(a-b). In this case, a2 and b2 should be perfect squares in which a and b are the square roots. In this case, 100 and 49 are perfect squares, hence the answer is D.
A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student
Answer:
a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.
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:
brainly.com/question/14265451
Work out the value of x
Answer:
x=40°
Step-by-step explanation:
Since the 2 sides of the triangle are equal, the angles are also equal. 180-110=70 so to find the angle measurement of x we have 180-70-70=40 x is 40°
solve for x
4x+5(5x-39)=153
Answer:
x=12
Step-by-step explanation:
4x+5 (5x-39) = 153
4x + 25x - 195 = 153
29x - 195 = 153
29x = 348
x = 12
