Answer:
11 ?
Step-by-step explanation:
your question is a little bit strange and it's hard to understand, but the midpoint you need to find like this: AB/2 22/2=11
Which statement is true?
A Two points can be noncollinear.
B Any two points can be noncoplanar.
C Any two points are sufficient to determine a line.
D Two points are sufficient to determine a plane.
Answer:
C is true as 2 pionts = a line
Step-by-step explanation:
I'm smartest in my class
In trying to determine whether air pollution causes reduction in children's lung health a researcher proposes to see if the lung volume of 10-year-old boys who live in high ozone pollution is significantly less than the lung volume of all 10-year-old boys. The mean volume for all 10-year-old boys is 2.05 liters. A random sample of 26 10-year-old boys who live in a community with high levels of ozone pollution is found to have a mean volume of 1.98 liters, with a sample standard deviation of 0.3 liters. Test the researcher's claim that the mean lung volume of 10 -year-old boys who live in a community with high levels of ozone pollution is less than 2.05 at the 5% significance level.
Answer:
The test statistic will be "-2.33". A further explanation is provided below.
Step-by-step explanation:
According to the question,
\(H_0: \mu = 2.05\)
\(H_0: \mu < 2.05\)
Given:
\(\bar x = 1.98\)
\(s = 0.3\)
\(n = 100\)
The test statistics will be:
⇒ \(t_0 = \frac{\bar x - \mu_0}{\frac{s}{\sqrt{n} } }\)
\(=\frac{1.98-2.05}{\frac{0.3}{\sqrt{100} } }\)
\(=-2.33\)
and the P-value will be:
= \(0.011< \alpha\)
Can someone help?? Sooo hard
Answer:
Step-by-step explanation:
Easy pie bro
Name: Kakashi Sensei
loraine walked 4 miles up, riana walked 3 miles right, the distance between them wil be the hypotenusa which is probably 5, yes? It forms a right triangle:
dist² = 3² + 4²
dist² = 9 + 16
dist² = 25
dist = \(\sqrt{25}\)
dist = 5
now draw that triangle on the grid and there you go
pls find side a! is due soon!
Answer:
Step-by-step explanation:
sin30=a/17
a=17sin30
a=8.5 m
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
Is a system with impulse response g(t, t) = e-2|t|^-|t| for t≥T BIBO stable? How about g(t, t) = sint(e-(-)) cost?
The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.
For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.
For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.
In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
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What algebraic expression could represent the average of 2x, 3 + x and 6x?
The algebraic expression in simplified form representing the average is 3x + 1.
To solve this question, one must know the formula of average. It is as follows -
Average = sum of the numbers / quantity of numbers
Now, we see that there are 3 expressions in the question. Hence, quantity of numbers will be 3.
Sum of the numbers = 2x + 3 + x + 6x
So, keep the values in formula to find the expression -
Average = 2x + 3 + x + 6x/ 3
Simplifying the expression to find average
Average = 9x + 3/3
Performing division on Right Hand Side of the equation
Average = 3x + 1.
Hence, required algebraic expression is 3x + 1.
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What is a formula for Simple Interest
Answer:
Simple Interest =PRT/100
Step-by-step explanation:
P*R*T/100
He spends 3/5 of his money on a new football
John spends 3/5 of his money on a new football and more money on candy.
What fraction is reasonable for the amount of money left.
Since 3/5 was spent,
The answer is 1/6.
Since 6/5 > 1, he can't have more money after spending less.
Since 3/5 > 1/2. He can't have 1/2 remaining
Since 2/5 = 1 - 3/5. This means that nothing was spent on candy. Thus this is not possinle.
Thus, the reasonable amount of money left is ;
\(\frac{1}{6}\)If A and B are independent events with P(A)=0.7 and P(B)=0.9, find P(A AND B).
In general, in the case of two independent events X and Y,
\(P(X\cap Y)=P(X)*P(Y)\)Therefore, in our case,
\(\Rightarrow P(A\cap B)=P(AandB)=P(A)*P(B)=0.7*0.9=0.63\)Thus, the answer is P(A and B)=0.63The graph of linear function f passes through the point (1, -9) and has a slope of -3. What is the zero of f ?
Answer:
A.) 2
B.) 4
C.) -6
D.) -2
Answer:
-2
Step-by-step explanation:
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Given
Slope = -3
Get the intercept c;
Substitute m = -3 and (1, -9) into y = mx+c
-9 = -3(1) + c
-9 = -3 + c
c = -9 + 3
c = -6
The equation becomes
y = -3x + (-6)
y = -3x-6
f(x) = -3x-6
The zero of f occurs at f(x) = 0
0 = -3x-6
3x = -6
x = -6/3
x = -2
Hence the zero of the function is -2
Answer:
D. -2
Step-by-step explanation:
An annuity can be modelled by the recurrence relations below. Deposit phase: A = 265000, An+1 1.0031 x A, + 750 Withdrawal phase: A0 = P, Anti 1.0031 x A, - 1800 where A, is the balance of the investment after n monthly payments have been withdrawn or deposited. a For the deposit phase, calculate: i the annual percentage rate of interest for this investment ii the balance of the annuity after three months b After three months, the annuity will enter the withdrawal phase. i What is the monthly withdrawal amount? ii What is the value of P? iii What is the balance of the annuity after three withdrawals? C How much interest has been earned: i during the deposit phase? ii during the withdrawal phase for three withdrawals? iii in total over this period of six months?
The total interest over six months is - 9320.0668. The total interest has been obtained using the following data.
a) Deposit phase: i) To calculate the annual percentage rate of interest (APR), we need to find the interest rate per period first. The given recurrence relation is:
\(A_{n+1}\)= 1.0031 * Aₙ + 750
Since the interest rate per period is constant, let's assume it is r. We can rewrite the recurrence relation as:
\(A_{n+1\)= (1 + r) * Aₙ + 750
Comparing this with the general form of the recurrence relation
A = (1 + r) * Aₙ + C, where C represents a constant, we can see that the constant term in this case is 750.
From the formula for the sum of a geometric series, we know that:
A = A₀ * (1 + r)ⁿ + C * [(1 + r)ⁿ - 1] / r
In this case, A₀ = 265000, A = Aₙ, and n = 3 (three months).
Plugging in the values, we have:
265000 = 265000 * (1 + r)³ + 750 * [(1 + r)³ - 1] / r
Simplifying the equation:
1 = (1 + r)³ + 750 * [(1 + r)³ - 1] / (265000 * r)
Solving this equation for r requires numerical methods or approximation techniques. It cannot be solved algebraically. Let's approximate the value of r using a numerical method such as Newton's method.
ii) To find the balance of the annuity after three months, we substitute n = 3 into the recurrence relation:
A₃ = 1.0031 * A₂ + 750
= 1.0031 * (1.0031 * A₁ + 750) + 750
= 1.0031² * A₁ + 1.0031 * 750 + 750
Now we substitute A₁ = 265000 into the equation to get the balance:
A₃ = 1.0031² * 265000 + 1.0031 * 750 + 750
b) Withdrawal phase:
i) The monthly withdrawal amount is given as $1800.
ii) To find the value of P, we need to rearrange the withdrawal phase recurrence relation:
A₀ = P, Aₙ = 1.0031 * An-1 - 1800
Substituting n = 3 into the recurrence relation:
A₃ = 1.0031 * A₂ - 1800
= 1.0031 * (1.0031 * A₁ - 1800) - 1800
= 1.0031² * A₁ - 1800 * (1 + 1.0031)
Solving for A₃, we have:
A₃ = 1.0031² * A₁ - 1800 * (1 + 1.0031)
Now we substitute A₁ = 265000 into the equation to get the balance:
A₃ = 1.0031² * 265000 - 1800 * (1 + 1.0031)= 263039.9667
c) Interest calculations:
i) During the deposit phase, the interest earned is the difference between the balance at the end and the initial deposit:
Interest during deposit phase = A₃ - A₀
ii) During the withdrawal phase for three withdrawals, the interest earned is the difference between the balance before and after the withdrawals:
Interest during withdrawal phase = (A₃ - A₀) - 3 * Withdrawal amount
iii) In total over this period of six months, the interest earned is the sum of the interest earned during the deposit phase and the interest earned during the withdrawal phase:
Total interest over six months = (A₃ - A₀) + (A₃ - A₀) - 3 * Withdrawal amount
A₀ = 265000, A₃=263039.9667 and Withdrawal amount= 1800
\(= (263039.9667-265000) + (263039.9667-265000)-3*1800\\\\= -1960.0334-1960.0334-5400\\\\= -9320.0668\)
Therefore, the total interest over six months is - 9320.0668.
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A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
I need help, thank you.
Answer:
A)0.4x-6=0.08x+2
Step-by-step explanation:
I'm pretty sure.
How many feet does a car traveling at 57 mph cover in one hour? In one minute? In one second?
Distance cover in feet in one minute and one second are 5,016 feet and 83.6 feet
Given that;
Speed of car travelling = 57 mph
Find:
Distance cover in feet in one minute
Distance cover in feet in one second
Computation:
1 mile = 5280 feetSpeed of car travelling = 57 mph
Speed of car travelling in feet = 57 × 5280
Speed of car travelling in feet = 300,960 feet per hour
Distance cover in feet in one minute = 1 × [300,960 / 60]
Distance cover in feet in one minute = 5,016 feet
Distance cover in feet in one second = 1 × [5016 / 60]
Distance cover in feet in one second = 83.6 feet
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I NEED HELP ASAP ILL GIVE BRAINLEST
Answer:
Your answer B y=5x
Step-by-step explanation:
I did this got it right
Leila wants to rent a boat and spend at most $93. The boat costs $8 per hour, and Leila has a discount coupon for $3 off. What are the possible numbers of
hours Leila could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
0 ≤ t ≤ 18
Step-by-step explanation:
The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.
Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.
According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:
5t ≤ 93
This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.
Simplifying the inequality:
5t ≤ 93
Dividing both sides by 5 (since the coefficient of t is 5):
t ≤ 93/5
t ≤ 18.6
Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:
t ≤ 18
0 ≤ t ≤ 18
Answer: 0≤t≤12
Step-by-step explanation:
(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)
If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.
Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST
Answer:
Hiii
Step-by-step explanation:
3. M=-3/4 B=4
6. M=-5/4 B=-2
in exercises 25–30, find the distance between points p1 and p2. p1(1, 1, 1),p2(3, 3, 0) p1(−1, 1, 5),p2(2, 5, 0) p1(1, 4, 5),p2(4, −2, 7) p1(3, 4, 5),p2(2, 3, 4) p1(0, 0, 0),p2(2, −2, −2) p1(5, 3, −2),p2(0, 0, 0) find the distance from the point (3, −4, 2) to the xy-plane yz-plane xz-plane find the distance from the point (−2, 1, 4) to the plane x
The distances are as follows: (25) 2.83 units, (26) 5.10 units, (27) 8.37 units, (28) 1.41 units, (29) 3.46 units, and (30) 5.92 units.
To find the distance between two points in three-dimensional space, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is \(\sqrt{((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)}\), where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.
For exercise 25, the coordinates are (1, 1, 1) and (3, 3, 0). Plugging the values into the formula, we get \(\sqrt{((3 - 1)^2 + (3 - 1)^2 + (0 - 1)^2)}\) = \(\sqrt{(2^2 + 2^2 + (-1)^2)}\) = \(\sqrt{(4 + 4 + 1)}\) = √9 = 3 units.
Similarly, for exercises 26-30, we calculate the distances between the given points using the same formula.
For the second part of the question, to find the distance from a point to a plane, we use the formula d = |ax + by + cz + d| / \(\sqrt{(a^2 + b^2 + c^2)}\), where (x, y, z) are the coordinates of the point, and a, b, c, and d are the coefficients of the plane equation.
For example, for the point (3, -4, 2) and the xy-plane (which has the equation z = 0), we have a = 0, b = 0, c = 1, and d = 0. Plugging these values into the formula, we get d = |0 + 0 + 1*2 + 0| / \(\sqrt{(0^2 + 0^2 + 1^2)}\) = 2 / 1 = 2 units.
Similarly, we can calculate the distances from the point (−2, 1, 4) to the yz-plane (x = 0) and the xz-plane (y = 0) using the same formula.
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quota sample means that group of answer choices the sample will be free from bias. every person in the target population has an equal chance of being selected. researchers decide how many persons of certain types they need in the survey. there is no pre-planning in the selection process. every person in the target population who is encountered is selected.
Quota sampling is a method used in research to ensure that a sample represents the target population accurately and is free from bias. In quota sampling, researchers determine in advance how many individuals from certain groups or characteristics they need to include in the survey.
The main goal of quota sampling is to ensure that every person in the target population has an equal chance of being selected for the sample. This is achieved by selecting individuals based on specific characteristics or demographics that are representative of the population being studied.
For example, let's say a researcher wants to conduct a survey about favorite ice cream flavors among teenagers. They may decide that they need an equal number of male and female participants and an equal representation from different age groups within the teenage population. The researcher would then set quotas for each of these groups and select participants accordingly.
It's important to note that quota sampling does not involve pre-planning or random selection. Instead, researchers use their judgment to select individuals who meet the predetermined quotas as they encounter them in the target population.
By using quota sampling, researchers can ensure that their sample is diverse and representative of the population they are studying. This method helps reduce bias and provides a more accurate understanding of the target population's opinions or behaviors.
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How many solutions does the system have?
O One solution at (0,-4)
O One solution at (-3,0)
O No solution
O Infinitely many solutions
The system of equations has infinite solutions.
How to solve thisGiven:
y = -6x +2
-12x - 2y= -4
To solve for Equation 2,
The value of y is already given in equation 1,
Thus,
substituting the value of y in equation 2,
-12x -2(-6x +2) = -4
-12x - 12x = -4 +4
0=0
The solution of the two equations is 0. Also, we can see that both equations are in ratio.
Further, the image also shows that the line of the two equations are coinciding.
Hence, the system of equations has infinite solutions.
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How many solutions does this linear system have?
y = -6x +2
-12x - 2y= -4
one solution: (0, 0) one solution: (1, –4) no solution infinite number of solutions.
PLEASE HELP! Will mark brainliest and 15 points!!!
No links or fakes or will be reported!
4 questions below
Answer:
In order
Step-by-step explanation:
x=7/3 or 2.33333
x= 7/2 or 3.5
x= 3/5 or 0.6
x= 2/3 or 0.6666
What is an example of slope-intercept form?.
Answer:
y = 3x + 1
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
please What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want. PLEASE ANSWER QUICK
Answer:
Computer Science is more harder so I would go with Precalculus.
let f be the function with derivative given by f'(x) = sin(x2 − 3). at what values of x in the interval −3 < x < 3 does f have a relative maximum?A) -1.732 and 2.478 only B) -2.478 and 1.732 only C) 2.138, 0,and 2.138 D) -2.478 -1.732, 1.732, and 2.478
The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.
To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).
To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0
x² − 3 = nπ, where n is an integer
x² = nπ + 3
x = ±√(nπ + 3)
We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:
n = 0: x = ±√3 ≈ ±1.732
n = 1: x = ±√(π + 3) ≈ ±2.478
n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)
So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.
To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.
At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.
At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.
At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.
At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.
Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.
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Please help me with my question!!!
Answer: They can make 18 ornaments
Step-by-step explanation:
you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)
the sum of two numbers is 840. one of the numbers is 357. what is the other number?
Answer:
483
Step-by-step explanation:
840 minus 357 is 483
FILL IN THE BLANK. two specific types of ____ are e-commerce systems and point-of-sale (pos) systems.
Answer:
Order entry systems
Step-by-step explanation:
Two specific types of order entry systems are e-commerce systems and point-of-sale (pos) systems.
Which of the following decimals is equivalent to 6%? A. 600 B. 6 C. 0.6 D. 0.06
Answer:
D
Step-by-step explanation:
A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
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Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i got it correct