Answers
Answer:
K) I, II, and III
Step-by-step explanation:
Given the quadratic equation in standard form, h = -at² + bt + c, where h is the height or the projectile of a baseball that changes over time, t. In the given quadratic equation, c represents the constant term. Altering the constant term, c, affects the h-intercept, the maximum value of h, and the t-intercept of the quadratic equation.
I. The h-interceptThe h-intercept is the value of the height, h, when t = 0. This means that setting t = 0 will leave you with the value of the constant term. In other words:
Set t = 0:
h = -at² + bt + c
h = -a(0)² + b(0) + c
h = -a(0) + 0 + c
h = 0 + c
h = c
Therefore, the value of the h-intercept is the value of c.
Hence, altering the value of c will also change the value of the h-intercept.
II. The maximum value of hThe maximum value of h occurs at the vertex, (t, h ). Changing the value of c affects the equation, especially the maximum value of h. To find the value of the t-coordinate of the vertex, use the following formula:
t = -b/2a
The value of the t-coordinate will then be substituted into the equation to find its corresponding h-coordinate. Thus, changing the value of c affects the corresponding h-coordinate of the vertex because you'll have to add the constant term into the rest of the terms within the equation. Therefore, altering the value of c affects the maximum value of h.
III. The t-interceptThe t-intercept is the point on the graph where it crosses the t-axis, and is also the value of t when h = 0. The t-intercept is the zero or the solution to the given equation. To find the t-intercept, set h = 0, and solve for the value of t. Solving for the value of t includes the addition of the constant term, c, with the rest of the terms in the equation. Therefore, altering the value of c also affects the t-intercept.
Therefore, the correct answer is Option K: I, II, and III.
Related Questions
There are 1,000 students in Sharon's high school. 65% of the students are taking Spanish. How many students are taking Spanish?
Answers
Answer:
650 students are spanish.
Step-by-step explanation:
just say 1,000 people = 100%
then 650 students would = 65%
Hope I helped
= therefore 650 students are doing Spanish.
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 4 or more defective units are found in a random sample of 100 units. ​(a) What is the probability of rejecting a lot that is ​3% ​defective? ​(b) What is the probability of accepting a lot that is ​4% ​defective?
Answers
Using the binomial distribution, it is found that there is a:
a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.
For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem, the sample has 100 units, hence [tex]n = 100[/tex].
Item a:
3% of the pieces are defective, hence [tex]p = 0.03[/tex].
The probability is:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]
[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]
[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]
[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]
0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
Item b:
4% of the pieces are defective, hence [tex]p = 0.04[/tex].
Lot is accepted if less than 4 units are defective, hence:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]
0.4295 = 42.95% probability of accepting a lot that is 4% defective.
A similar problem is given at https://brainly.com/question/24863377
Help help help help help help help help help help help
Answers
Answer:
A' 2,2
B' 3, -1
C' -1,0
Step-by-step explanation:
Because you're translating it by -2, 3, you're basically subtracting 2 from the x value and adding 3 to the y value.
A = 4, -1
A' = 2, 2
B = 5, -4
B' = 3, -1
C = 1, -3
C' = -1, 0
HELP ME PLEASE!! I DONT WANT TO FAIL THIS AGAIN.
Answers
Answer:
A.
Step-by-step explanation:
You can see that the rate of change of function A is 3. because that's the slope (M) in y=mx+b
5 is slope for B because unit rate is 5 ( 1 to 3 change is +10 so unit rate is 5)
What integer is equivalent to 25 3/2?
Answers
Answer:
[tex]25\frac{3}{2} =26.5[/tex]
Step-by-step explanation:
This mixed number can be separated into 25 and [tex]\frac{3}{2}[/tex]. Convert the fraction to a decimal by plugging it into a calculator, then add 25.
If you meant what whole number is equivalent, that does not exist.
Plz help me well mark brainliest!!
Answers
Answer:
x=-52
1/3x-2/3=-18
multiply both sides by 3
x-2=-54
x=-54+2
x=-52
Describe the transformation of g(x)=4|x|
Answers
[tex]g(x) = 4 |x| = x = 0[/tex]
1/5 divided by 2/3 input the answer as a fraction
Answers
Answer:
Three tenths/ 3/10
Step-by-step explanation:
1/5 divided by 2/3 is 0.3 which is equal to 3/10
Please help me solve this asap.
(step by step explanation)
Answers
Then we look for the slope: the line decreases from 240 to 210 (a change of -30) when traveling 300 miles (a change of 300). Since the slope is rise over run, we have -30/300=-1/10.
Therefore, the correct answer is J.
Use the ALEKS calculator to write 2/63 as a percentage.
Round your answer to the nearest tenth of a percent.
Answers
Answer:
3.2%
Step-by-step explanation:
2 / 63 = 0.031746031746
0.031746031746 x 100 = 3.1746031746 and round
The annual rainfall in a town has a mean of 51.84 inches and a standard deviation of 8.05 inches. Last year there was rainfall of 63 inches. How many standard deviations away from the mean is that
Answers
It is 1.39 standard devaitions away from the mean.
Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.
The amount of rainfall last year was X = 63 inches.
The difference between X and the mean x is d = X - x
= 63 - 51.84 in
= 11.16 in
To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.
So, n = d/σ
= 11.16 in/8.05 in
= 1.39
So, it is 1.39 standard devaitions away from the mean.
Learn more about number of standard deviations here:
https://brainly.com/question/24254824
I don't know the answer to this & I don't understand how to get it.
Answers
Answer:
i thank it h
Step-by-step explanation:
Answer:
Well your answer is (F)
Step-by-step explanation:
?
There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits
Answers
Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.
DeAnna Worley is the office manager at Central
BioEnergy. She is married with one dependent. Her annual
graduated state income tax is $3,520. What is her semimonthly
salary
Answers
Answer:
67 i thing so if it wrong sorry and ill answer it again ight
Step-by-step explanation:
Can I have the answers to EVERY question?
Answers
Hey where are the questions?
Please answer the 4 questions :)
Answers
Step-by-step explanation:
The lines or plains which contain R:
1. Parallel to SP ⇒ segment RQ2. Perpendicular to SP ⇒ segment RS3. Skew to SP ⇒ segment RK4. Plane parallel to KLM ⇒ plane RSPAlso do the line pass through the origin? Explain.
Answers
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad \qquad m = -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-3}(x-\stackrel{x_1}{4})\implies y+1=-3(x-4) \\\\\\ y+1=-3x+12\implies \stackrel{\textit{slope-intercept form}}{y=-3x+11}[/tex]
does it pass through the origin? well, we could draw it, or we can just check that, the origin is at 0,0, or namely when x = 0, y = 0, let's see if that's true, let's make x = 0, let's see what we get for "y".
y = -3(0) + 11 => y = 11
woops, no dice, y ≠ 0, so nope, doesn't pass through the origin.
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. During a two-month period (44 weekdays), daily fees collected averaged $126, with a standard deviation of $15. a) What assumptions must you make in order to use these statistics for inference
Answers
The assumptions required for making inference about a population using sample data include ;
The 10% condition, sample size must not be more than 10% of the population size Data should be approximately normal with sample size, n being greater than 30 (n ≥ 30).The sample selection must be independent, as the outcome of a certain trial must not depend on the outcome of another.Learn more : https://brainly.com/question/25609474
Please help! Answer if correctly only.
Answers
Answer:
f(X)= 4 and g(X)= 49 are the answers!
Answer:
f(6) = -8
g(-3) = 49
Step-by-step explanation:
So when observing a function we have to remember that the desired input value is correspondent to the function. So when looking at the first function of:
f(x) = -2x+4
we can see that we are trying to find f(6) meaning all of the values of x are 6 in the equation. When plugging in the value of x into the equation then we have:
f(6) = -2(6)+4
the next step would be to simplify. -2*6 = -12 and -12+4=-8 and thus:
f(6) = -8
Now the steps are the same with g(-3) except with the other function:
g(x) = -2x^3-5
g(-3) = -2(-3)^3-5
g(-3) = 49
A checkpoint will be at (5.4, 3). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related
Answers
Answer: the difference if that 5.4 is not a negative number they are relatied because it takes them both 5.4 ,3 moves to get to 0
Step-by-step explanation:
The slope of the line whose equation is 2x + 5y + 1 = 0 is
Answers
Answer:
the slope is -2/5
Step-by-step explanation:
Solve for y.
2x + 5y + 1 = 0
5y = -2x - 1
y = -2/5 x - 1/5
Compare to
y = mx + b, where m is the slope.
m = -2/5
Answer: the slope is -2/5
Help me answer these math problems. They are due by 10:00 PM Tonight. Please answer them carefully.
1. What is the formula for simple interest?
2. If Michael invests $2300 in the bank at a rate of 5.5% for a 6 year term, what will the interest be at the end of the term? (round to nearest cent)
3. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)
4. Jessie invests $3345 in the stock market. Over the 3 years she has this invested, she gets an average return of 7.8% simple interest. How much interest will she had made over the 3 year period? (round to nearest cent)
5. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term? (round to nearest cent)
6. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly? (round to nearest cent)
7. Gina deposited $1500 in an account that pays 11% interest compounded monthly.
What will the balance be in 5 years? (round to nearest cent)
8. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years? (round to nearest cent)
9. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended? (round to nearest cent)
(PLEASE ANSWER THESE QUESTIONS TONIGHT BY 8:00 PM)
Answers
Answer:
. Kelsey takes out a loan for $6000 to start a business after high school. The bank charges her 8% simple interest for the loan. Term is five years. After 5 years , what will the balance be for the repayment of this loan? (round to nearest cent)
Step-by-step explanation:
Sally must have at least $200 in her savings account to avoid a
fee. She currently has $850 in her account, but plans to spend
$75 per week. Write an inequality to determine the number of
weeks she can spend money and avoid a penalty.
Answers
Answer:
675$
Step-by-step explanation:
got it right
solve for x and y then find the measure of each angle
Answers
Step-by-step explanation:
∵ MP is a straight line.
∴ ∠MNQ + ∠PNQ = 180°
[tex](3y + 8)° + (3y + 22)° = 180° \\ 3y + 8 + 3y + 22 = 180 \\ 6y + 30 = 180 \\ 6y = 150 \\ y = 25[/tex]
∵ MP is a straight line.
∴ ∠MNR + ∠PNR = 180°
[tex](2x + 5)° + (3x - 55)° = 180° \\ 2x + 5 + 3x - 55 = 180 \\ 5x - 50 = 180 \\ 5x = 230 \\ x = 46[/tex]
True / False: ANOVA, Part I. Determine if the following statements are true or false in ANOVA, and explain your reasoning for statements you identify as false.
(a) As the number of groups increases, the modified significance level for pairwise tests increases as well.
(b) As the total sample size increases, the degrees of freedom for the residuals increases as well.
(c) The constant variance condition can be somewhat relaxed when the sample sizes are relatively consistent across groups.
(d) The independence assumption can be relaxed when the total sample size is large.
Answers
ABCD is a parallelogram.the length of AB is 15 what is the the length of CD
Answers
rhombus opposite sides are equal.
So, CD = 15
Will mark as brain list if answered correctly
Answers
Answer:
The answer is 3
Step-by-step explanation:
I am sure.
Answer: i think it is 3
Step-by-step explanation:
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answers
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3^3+14*y-(25*y-13)-(y+7*y-9*y)=0
Equation at the end of step 1
((3³ + 14y) - (25y - 13)) - -y = 0
Pull out like factors :
40 - 10y = -10 • (y - 4)
Equation at the end of step3:
-10 • (y - 4) = 0
STEP4:
Equations which are never true:
Solve : -10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
Solve : y-4 = 0
Add 4 to both sides of the equation :
y = 4
[tex]y = 4[/tex]The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .
Answers
Answer:
b) quotient
Step-by-step explanation:
divisor is the number/value you are dividing with.
A remainder is a number that remains after you divide.
A factor is a number that can divide into a number or numbers without leaving a remainder
Mr. Reyes baked 4 batches of muffins for his class each batch had 12 muffins. if Mr. Reyes Has 24 students, How many muffins will each student receive?
Answers
Answer:2 muffins
Step-by-step explanation: First you have to see how many muffins he baked. 12x4 = 48 thus giving us the amount of muffins he baked. 48 muffins. If each student gets the same amount of muffins 48/24 = 2.
So each person would get 2 muffins.
Hope this helps :)