please help i am so confused
Answer:
\(q\geq -81\)
Step-by-step explanation:
First, begin by multiplying \(\frac{q}{27} \\\) by its reciprocal.
To do this, flip the fraction upside-down.
The resulting equation looks like this: \(\frac{27}{1} *\frac{q}{27}\)
Cancel out the two 27's and you are left with \(\frac{q}{1}\) , which you can simplify to q.
Next, multiply -3 by \(\frac{27}{1}\) . Remember, what you do on one side, you must do on the other.
Your equation should look like this:
\(q\geq -81\)
The final answer is \(q\geq -81\) .
Have a nice day!
what part of 63 is 18
Answer:
If you mean percent, its 350%
Answer:
1134
Step-by-step explanation:
1134/63=18
the two non-parallel sides of an isosceles trapezoid are each 7 feet long. the longer of the 2 bases measures 22 feet. the sun of the base angles is 140 degrees.
Use the Law of Cosines to find the length of the diagonal.
Use the Law of Sines to find the length of the shorter base
Answer:
formula:
c^2 = a^2 + b^2 - 2abcos(C)
where c is the length of the diagonal, a and b are the lengths of the legs of the triangle (the non-parallel sides of the trapezoid), and C is the angle between them.
In this case, a = b = 7 feet and C = (180 - 140)/2 = 20 degrees. We can plug these values into the formula to find:
c^2 = 7^2 + 7^2 - 2(7)(7)cos(20)
c = sqrt(98 + 49cos(20))
To use the Law of Sines to find the length of the shorter base, we can use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the sides of the triangle and A, B, and C are the angles opposite those sides.
Since we know a and b, we can use the formula to find:
x/sin(140) = 7/sin(20)
x = 7sin(140) / sin(20)
Note that the value of c will be in squared units, so you need to take the square root to get the actual length of the diagonal.
which situation is best modeled by an exponential distribution? tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s? suppose that meteors large enough to cause mass extinction strike the earth at regular, although exceedingly large, intervals. what is the probability that a large meteor strike will cause a mass extinction event within the next 1000 years? on a dark desert highway, drivers fall asleep and run off the road randomly. what is the probability that a driver will run off the road in one particular 10-mile stretch of this highway? suppose that people call in sick randomly and independently of one another at a business called acme anvil supply. on average, one person calls in sick per week. what is the probability that no one will call in sick next week? suppose that 0.76% of tires are defective, and defective tires occur independently of one another. what is the probability that no more than three of the next 100 tires are defective?
The situation that is best represented by an exponential distribution is given by the following option:
Tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s?.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following mass function:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
From this, we get that the exponential distribution is used when we want to study the time between events in a distribution, and only the first option in this problem gives it.
As for the other options, the distributions are as follows:
Meteor: Poisson distribution or binomial distribution, mean in a given time, we want to find the probability of a number.Drivers asleep in the highway: Poisson or binomial, also number of events in an interval.People calling in sick: Binomial distribution.Defective tires: Binomial distribution.More can be learned about the exponential distribution at https://brainly.com/question/16371214
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An annuity has a payment of $300 at time t = 1, $350 at t = 2, and so on, with payments increasing $50 every year, until the last payment of $1,000. With an interest rate of 8%, calculate the present value of this annuity.
The present value of the annuity is $4,813.52.
To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:
PV = C * (1 - (1 + r)^(-n)) / (r - g)
Where:
PV = Present Value
C = Payment amount at time t=1
r = Interest rate
n = Number of payments
g = Growth rate of payments
In this case:
C = $300
r = 8% or 0.08
n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14
g = Growth rate of payments = $50
Plugging in these values into the formula, we get:
PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52
Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.
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Write an expression for the description: the product of 3 and p subtracted from 6
Answer:
6 - 3p
Step-by-step explanation:
The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.
Answer:
the sum of 6 6 66 and the product of 3 3 33 and d d dd".
Step-by-step explanation:
Uh need help
The ratio of the sale price of a jacket to the original price is 3:4. The original price is $64. What is the sale price?
Answer:
$48
Step-by-step explanation:
price of jacket : original price
3 : 4
If 64 = 4, we can find out 1.
64 / 4 = 16
16 x 3 = 48
16 x 4 = 64
48 : 64
sale price = $48
Hope this helps!
- profparis
Answer:
$48
Step-by-step explanation:
the 4 part of the ratio refers to the original price of $64 , then
$64 ÷ 4 = $16 ← value of 1 part of the ratio , then
3 parts = 3 × $16 = $48 ← sale price
i need this in less than 5 minutes :((
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
Levi is planning a road trip. He throws a dart on a map of the United States to decide where to go. There are 4 states that start with the letter A, 3 states that start with the letter C, and 8 states that start with the letter M. What is the probability that Levi throws a dart on a state that starts with an A or an M? (Hint: There are 50 total states.)
P(A∪M)=
1) 0.01
2) 0.24
3) 0.64
4) 0.42
Answer:
since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M
write an algebraic expression for 24 more than the product of 2 and x
Answer:
24+2x
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 24+2x
What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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calculate the percentage of free moisture on a fine aggregate based on the given data. percent absorption
The percentage of free moisture on a fine aggregate is 0.5%.
Free moisture refers to the moisture which is present on the surface of the aggregate after moisture has been absorbed and can be removed by drying the sand. Free moisture or free water is determined as the difference between the mass of wet-saturated aggregate sample and the mass of saturated-surface-dry condition sample.
Based on the given information:
Stock (present) weight = Weight of wet sample = 464.3g
Oven-dry weight = Weight of dry sample = 450.6g
Total Moisture = (Weight of wet sample - Weight of dry sample)/Weight of dry sample * 100
(464.3 – 450.6)/450.6 * 100 = 0.030 *100 = 3%
Percent absorption (AC): 2.5%
Free moisture = Total moisture – Absorbed moisture
= 3 – 2.5 = 0.5%
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Assume that adult IQ scores on the Weschler IQ test are normally distributed with a mean of 100 points and a standard deviation of 15 points. Find the probability that a randomly selected adult has an IQ between 96 and 111.
Hi there!
With a normal distribution, we can use the operation 'normalcdf' on a calculator to find the probability that a randomly selected adult has an IQ between 96 and 111.
Here is the format for using the operation:
normalcdf(LB, UB, μ, σ)LB = Lower bound (96)
UB = Upper bound (111)
μ = Mean of normal distribution (100)
σ = Standard deviation of normal distribution (15)
Plug in the given values into the calculator and solve.
\(normalcdf(96, 111, 100, 15) = \boxed{0.3735 }\)
A school survey showed 18 out of 20 students preferred taking Art. What percent of the students prefer taking Art?
Answer:
90 %
Step-by-step explanation:
18/20*100%
please give me brainly
Answer:
90percent
Step-by-step explanation:
why is crout factorization faster than gaussian
Crout factorization is faster than Gaussian elimination because it takes advantage of the structure of a matrix and reduces the number of operations required to solve a system of linear equations.
In Crout factorization, the matrix is decomposed into a lower triangular matrix and an upper triangular matrix, which can be solved efficiently using forward and backward substitution.
This technique avoids the need for row interchanges, which are required in Gaussian elimination to avoid dividing by zero and to choose the largest pivot element. Row interchanges are computationally expensive because they require swapping entire rows of the matrix.
Additionally, Crout factorization is more numerically stable than Gaussian elimination because it produces a factorization that is less sensitive to rounding errors in the coefficients of the system of linear equations.
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If mDE = 113° and mBC = 67°, find mZA
Plz I need it fast
HOPE THIS HELPS :)
Step-by-step explanation:
DOWNLOAD PHOTOMATH or copy and paste thishttp://nwhsgeometry.weebly.com/uploads/3/9/8/7/39872773/unit_10_review_-_answer_key.pdf
find the marked angle of
Answer:
∠ C = 100°
Step-by-step explanation:
since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.
consider the angle inside the triangle to the left of 140°
this angle and 140° are a linear pair and sum to 180°
angle + 140° = 180° ( subtract 140° from both sides )
angle = 40°
then the angle on the left of the triangle = 40° ( base angles congruent )
the sum of the angles in a triangle = 180° , so
∠ C + 40° + 40° = 180°
∠ C + 80° = 180° ( subtract 80° from both sides )
∠ C = 100°
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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Select the equation that is a rational function
A. y=x
B. y=x/(x+3)
C. y=x^3
D. y=2^x
Answer:
y = x/x+3 is a rational function
Step-by-step explanation:
Here, we want to select the equation that is a rational function
rational functions are such that could be expressed as the division of one function by another
For example;
f(x) = g(x)/h(x)
is a rational function
so, if we applied this here,
we have it that;
y = x/x+ 3 is a rational function
When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount. How much commission did Jennifer pay at closing
Answer:
$54,000
Step-by-step explanation:
1,800,000 - 3% =
1,746,000
1,800,000 - 1,746,000 =
54,000
Jennifer paid $54,000 commission fee
Jennifer paid $54000 commission at closing.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount.
That means,
she paid = 1800000 x 3/100
Jennifer paid at closing = 54000
Therefore, Jennifer paid $54000.
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What is the solution to 1/2 |x| = -3?
Answer: 1/2 |x| = -3?
Step-by-step explanation:
How many tissues does a carrot contain?
Explain your reasoning.
Answer:
khv-hjsb-qwc. join in meet all
A file that is 287 megabytes is being downloaded. if the download is 17.8% complete, how many megabytes have been downloaded? round your answer to the nearest tenth.
The number of megabytes downloaded is 51.1 megabytes
Percentage
In mathematics, a percentage is a number that is expressed as a fraction of 100. To find the percentage of a number in a whole number divide the given number by the whole number and multiply by 100. And the percentage is denoted by the symbol '%'.
For example,
Percentage of 5 in 20 = (5/20)×100 = 25% = 25/100
Percentage of 2 in 40 = (2/40)×100 = 5% = 5/100
From the given problem,
The size of the file is 287 megabytes
The percentage of the file downloaded = 17.8%
As we know percentage can express as a fraction
⇒ 17.8% = 17.8 /100
Therefore, the number of megabytes downloaded = 17.8% of 287 megabytes
= (17.8 /100)× 287 megabytes
= (0.178) × 287 megabytes
= 51.086 megabytes
To round the answer to the nearest tenth add 1 to 0 since the hundredth's place is greater than the tenth's place
51.086 = 51.1 [ rounded to the nearest tenth ]
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Two third of a number is 4 more than 6. Find the number and explain how you got it
Answer:
The answer is 15. First, you find the number that’s four more than six- 4+6=10. Next find the number that’s two thirds of ten. If one half of ten is five, multiply that by three, and you get 15.
Use the inner product (p, q) = a b + a₁b₁ + a₂b₂ to find (p, q), ||p|, ||a||, and d(p, q) for the polynomials in P₂. p(x) = 1 − x + 4x², g(x) = x - x² (a) (p, q) (b) ||p|| (c) ||a|| (d) d(p, q) Find (u, v), u, v, and d(u, v) for the given inner product defined on R". u = (0, 2, 3), v = (2, 3, 0), (u, v) = u · v (a) (u, v) (b) ||ul| (c) ||v|| (d) d(u, v)
For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.
In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:
(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.
To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:
||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.
For ||a||, we can use the same formula but with the coefficients of a:
||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.
Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:
(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.
To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:
||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.
Similarly, for ||v||, we use the formula with the coefficients of v:
||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.
Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.
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Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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y = x - 2
y = 3x + 5
find y and x
Answer:
x = -3.5 and y = -5.5
Step-by-step explanation:
y = x - 2 and y = 3x + 5
so x - 2 = 3x + 5
subtract one x from both sides:
-2 = 2x + 5
subtract 5 from both sides:
-7 = 2x
solve for x:
2x = -7, x = -3.5.
now find y:
y = x - 2 = -3.5 - 2 = -5.5
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Simplify -6q+7-2+4q please
Answer:
-2q+5, choice a
Step-by-step explanation:
Which of the following samples will produce the largest value for a t statistic? Assume each sample has n=10 scores.
-MD=5 with SS=20
-MD=10 with SS=20
-MD=5 with SS=40
-MD=10 with SS=40
The sample that will produce the largest value for a t statistic is the one with the largest mean difference (MD) and the smallest sum of squares (SS). In this case, the sample with MD=10 and SS=20 would yield the largest t statistic value.
What factors contribute to the magnitude of the t statistic in hypothesis testing?The magnitude of the t statistic in hypothesis testing is influenced by several factors, including the sample size, the mean difference between groups (MD), and the sum of squares (SS) within each group. However, other factors such as the variability of scores and the alpha level also play a role.
When comparing different samples with the same sample size of n=10, the sample that produces the largest t statistic will have a combination of a larger MD and a smaller SS. The MD reflects the difference in means between two groups or conditions, while the SS represents the variability or dispersion of scores within each group.
In this scenario, comparing the given options, the sample with MD=10 and SS=20 would result in the largest t statistic. This means that there is a greater difference between the means of the two groups and a relatively smaller variability within each group. A larger t statistic suggests a more significant difference between the groups, which strengthens the evidence against the null hypothesis.
It's important to note that the t statistic alone does not provide a complete understanding of the practical significance or effect size of the observed difference. Additional measures, such as confidence intervals or effect size calculations, should be considered to gain a more comprehensive interpretation of the findings.
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