\( {3}^{4} \times x \times ( \frac{3}{ {x}^{2} } ) {}^{2} \)
how do you do this please
Answers
Answer:
the solution for x²+2x+8<0
Related Questions
For any number k > 1, Chebyshev's theorem is useful in estimating the proportion of observations that fall within Select one: O A. (1-1/k) standard deviations from the mean O B. k standard deviations from the mean O C. (1 - 1/k) standard deviations from the mean o DN2 standard deviations from the mean
Answers
The proportion of observations that fall within is k standard deviations from the mean, the correct option is B.
We are given that;
The number k>1
Now,
The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Chebyshev’s theorem states that for any number k > 1, at least (1 - 1/k^2) of the observations in any data set are within k standard deviations from the mean. k standard deviations from the mean.
Therefore, by mean the answer will be k standard deviations from the mean.
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Which expression is equivalent to (a⁶)⁴
Answers
when multiplying by exponents, you really add them
Chris works at a bookstore and earns $7. 50 per h hour plus a $2 bonus for each book she sells. Chris sold 15 books. She
wants to earn a minimum of $300. Which inequality represents this situation, and what quantities are true for h?
A 2h + 30 > 300, where h > 135
B 7. 50h + 30 > 300 where h > 36
7. 50h + 30 < 300, where h <36
D2h + 30 < 300, where h < 135
Answers
So, the inequality which represents the situation is 7.5h + 30 ≥ 300, where h ≥ 36. Hence, the answer is B.
Given: Chris works at a bookstore and earns $7. 50 per hour plus a $2 bonus for each book she sells. Chris sold 15 books. The total earning of Chris,E(h) = 7.5h + 2 × 15 = 7.5h + 30 dollars where h is the number of hours worked by Chris .In order to find out the minimum hours she has to work to earn at least $300, we have to solve the inequality:7.5h + 30 ≥ 300 ⇒ 7.5h ≥ 270 ⇒ h ≥ 36.
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What is the result when 4x^3-x^2+2x+7 is divided by x + 1
Answers
Answer:
4x^4−x^3+2x^2+x+7
_______________
x
Step-by-step explanation:
4x^3-x^2+2x+7÷x+1
Find the slope of the line passing through each pair of points.
Explain how you got it
Worth 15 points
Brainlest for correct answer
Answers
Answer:
you have to use the slope equation, which is (y2-y1) / (x2-x1)
3. (5-0)/(1 -(-8))
5/1+8
5/9
4. (3-3)/(-4 -8)
0/-12
the slope is 0
6. (-2-8)/(1-0.5)
-10/0.5
-20
7. (7-(-1))/ (4-4)
7+1/0
8/0
the slope is undefined
Find the value of x when 6−4x=6x−8x+8.
Answers
I double checked it
Answer:
8x+8.
Step-by-step explanation:
Some types of nerve cells have the ability to regenerate a part of the cell that has been amputated. In a study of this process in lemurs, researchers cut nerves emanating from the spinal cord of a sample of 31 animals and measured the content of creatine phosphate (CP). They found a sample mean of 0.183 mg/g, with a standard deviation of 0.094 mg/g. In healthy cells, the CP content is 0.150 mg/g.
Required:
Assuming all relevant assumptions hold, conduct the appropriate test to determine if CP content in regenerating nerve cells differs from this amount in this population of lemurs.
Answers
As the 95% confidence interval for the population mean contains 0.15, there is not enough evidence to conclude that CP content in regenerating nerve cells differs from this amount in this population of lemurs.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation shown as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are shown as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 31 - 1 = 30 df, is t = 2.0423.
The parameters for this problem are given as follows:
\(\overline{x} = 0.183, s = 0.094, n = 31\)
Then the lower bound of the interval is given as follows:
\(0.183 - 2.0423 \times \frac{0.094}{\sqrt{31}} = 0.149\)
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explain how to find the missing side of a right triangle when given an acute angle and one side
Answers
Answer: Measure out all the triangles and then subtract from the total and then their is your answer.
the line l is a tangent to the circle x^2+y^2=26 at the point A
A is the point (1,5)
The line crosses the x axis at point P
Work out the area of triangle OAP.
Answers
Answer:
65 square units
Step-by-step explanation:
Assuming point O refers to the origin, the segment OA has slope ...
m = Δy/Δx = 5/1 = 5
Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.
The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
0 -5 = (-1/5)(x -1)
25 = x -1 . . . . . . . multiply by -5
x = 26 . . . . . . . add 1
This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...
A = 1/2bh
A = 1/2(26)(5) = 65 . . . . square units
Triangle OAP has an area of 65 square units.
What is the radius of a hemisphere with a volume of 8231 cm", to the nearest tenthof a centimeter?
Answers
Answer:
The radius of the Hemisphere is 15.8 cm.
\(r=15.8\operatorname{cm}\)Explanation:
The formula for the volume of an hemisphere can be written as;
\(V=\frac{2}{3}\pi r^3\)Given that the volume of the hemisphere is;
\(8231\operatorname{cm}^3\)We can get the radius of the hemisphere using the formula above.
Firstly let us make r the subject of formula;
\(\begin{gathered} V=\frac{2}{3}\pi r^3 \\ \text{multiply through by 3/2} \\ \frac{3}{2}V=\pi r^3 \\ \text{divide through by pi} \\ \frac{3}{2}\frac{V}{\pi}=r^3 \\ \text{cube root both sides} \\ \sqrt[3]{\frac{3}{2}\frac{V}{\pi}}=r \\ r=\sqrt[3]{\frac{3}{2}\frac{V}{\pi}} \end{gathered}\)Lastly let us substitute the given volume V into the derived formula for radius r.
\(\begin{gathered} r=\sqrt[3]{\frac{3}{2}\frac{V}{\pi}} \\ r=\sqrt[3]{\frac{3\times8231}{2\times\pi}}=\sqrt[3]{\frac{24693}{2\times\pi}} \\ r=15.78\operatorname{cm} \\ r=15.8\operatorname{cm}\ldots\ldots.(to\text{ the nearest tenth of a centimeter)} \end{gathered}\)Therefore, the radius of the Hemisphere is 15.8 cm.
\(r=15.8\operatorname{cm}\)Fill out the table, reporting all the sample means and standard deviations.PreAlg: 1.32 (Mean), 0.96 (SD)ElemAlg: 3.18 (Mean), 0.75 (SD)InterAlg: 4.42 (Mean), 2.78 (SD)Finish the list of all three possible comparisons.1. PreAlg compared to ElemAlg2. PreAlg compared to InterAlg3. ElemAlg compared to InterAlgFind the corrected value for the significance level by dividing 0.05 by the number of comparisons.The corrected significance level is 0.0167.We have assumed that the conditions for two-sample t-tests are met. For all tests, the null hypothesis is that the two population means are the same, and the alternative hypothesis is that the two population means are different. Complete the table below. For a significant difference, the p-value must be less than the Bonferroni-corrected value for the significance level.PreAlg and ElemAlg: 5.08 (t-value), 0.000 (p-value), different (conclusion)PreAlg and InterAlg: 3.64 (t-value), 0.003 (p-value), different (conclusion)ElemAlg and InterAlg: 1.49 (t-value), 0.163 (p-value), not different (conclusion)Write a clear conclusion based on what you found. Which groups have sample means that are significantly different, and how do they differ?Ans: PreAlg students spend less time doing homework than the others.
Answers
PreAlg students spend significantly less time doing homework compared to ElemAlg and InterAlg students, while there is no significant difference in homework time between ElemAlg and InterAlg students.
What is significantly ?
Significantly" is the keyword that indicates a notable or meaningful difference or result in the context of statistical analysis. It is often used to describe findings that have a high level of confidence and statistical significance, indicating that the observed difference or relationship is unlikely to have occurred by chance.
Based on the given data and statistical analysis, the conclusion is as follows:
PreAlg compared to ElemAlg:
The sample mean for PreAlg (1.32) is significantly different from the sample mean for ElemAlg (3.18) with a t-value of 5.08 and a p-value of 0.000. Therefore, we can conclude that PreAlg students spend significantly less time doing homework compared to ElemAlg students.
PreAlg compared to InterAlg:
The sample mean for PreAlg (1.32) is significantly different from the sample mean for InterAlg (4.42) with a t-value of 3.64 and a p-value of 0.003. Hence, we can conclude that PreAlg students spend significantly less time doing homework compared to InterAlg students.
ElemAlg compared to InterAlg:
The sample mean for ElemAlg (3.18) is not significantly different from the sample mean for InterAlg (4.42) with a t-value of 1.49 and a p-value of 0.163. Therefore, we fail to reject the null hypothesis, and we cannot conclude a significant difference in homework time between ElemAlg and InterAlg students.
In summary, the PreAlg students have significantly lower homework time compared to both ElemAlg and InterAlg students. However, there is no significant difference in homework time between ElemAlg and InterAlg students.
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3. Express [3] as a lincar combination of [2] and [2] 0
Answers
[3] can be expressed as a linear combination of [2] and [0].
To express [3] as a linear combination of [2] and [0], we need to find coefficients (multipliers) that, when multiplied by the vectors [2] and [0], will add up to [3].
Let's assume that the coefficients for [2] and [0] are a and b, respectively. We have the equation a[2] + b[0] = [3].
Since [2] is a scalar multiple of [2], we can rewrite the equation as 2a + 0b = 3.
Simplifying the equation, we get 2a = 3.
Solving for a, we find a = 3/2.
Now, substituting the value of a back into the equation, we have 3/2[2] + b[0] = [3].
Multiplying, we get [3] + b[0] = [3].
Since any multiple of [0] is the zero vector, b[0] is the zero vector.
Therefore, we can express [3] as a linear combination of [2] and [0] by setting a = 3/2 and b = 0.
[3] = (3/2)[2] + 0[0] = [3/2].
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Evaluate (Ac ∩ B)c, given the following. (Enter your answer in set notation.) A = {1, 3, 4, 5, 6} B = {4, 6, 9} C = {2, 6, 7, 8, 9} Ω = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Answers
(Ac ∩ B)c is represented as {1, 2, 3, 4, 5, 7, 8, 9} in set notation.
To evaluate (Ac ∩ B)c, we first need to find the complement of set A, which is denoted as Ac. The complement of A includes all the elements in the universal set Ω that are not in A.
Given:
A = {1, 3, 4, 5, 6}
B = {4, 6, 9}
C = {2, 6, 7, 8, 9}
Ω = {1, 2, 3, 4, 5, 6, 7, 8, 9}
We can calculate Ac by subtracting A from the universal set Ω:
Ac = Ω - A = {2, 7, 8, 9}
Next, we find the intersection of Ac and B, denoted as Ac ∩ B. This intersection contains all the elements that are common to both Ac and B:
Ac ∩ B = {6}
Finally, to find (Ac ∩ B)c, we take the complement of Ac ∩ B, which includes all the elements in the universal set Ω that are not in Ac ∩ B:
(Ac ∩ B)c = Ω - (Ac ∩ B) = {1, 2, 3, 4, 5, 7, 8, 9}
Therefore, (Ac ∩ B)c is represented as {1, 2, 3, 4, 5, 7, 8, 9} in set notation.
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A sample of size n will to be taken from the residences in a large city to estimate the mean price of their home. The distribution of home values in the city is strongly skewed right. Which of the following is the smallest sample size such that the sampling distribution of x is approximately normal? The central limit theorem guarantees that all samples of size n will have a sampling distribution that is approximately normal. A sample of size 30 is the smallest sample size that will have a sampling distribution that is approximately normal A sample of size 10 is the smallest sample size that will have a sampling distribution that is approximately normal. Since the population is strongly skewed right, no sample size will have a sampling distribution that is approximately normal
Answers
The correct statement is: "A sample of size 30 is the smallest sample size that will have a sampling distribution that is approximately normal."
According to the central limit theorem, when the sample size is sufficiently large (typically around 30 or greater), the sampling distribution of the sample mean will approach a normal distribution regardless of the shape of the population distribution. This holds even if the population distribution is strongly skewed.
Therefore, in this case, a sample size of 30 is the smallest size that would ensure the sampling distribution of the sample mean is approximately normal, regardless of the right-skewness of the population distribution. Smaller sample sizes, such as a sample size of 10, may still provide useful information, but the sampling distribution may deviate more from a perfect normal distribution.
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To the nearest whole number, 75 kg = ?? Ib
Answers
Answer:
165lbs
Step-by-step explanation:
Unit conversion is the conversion of one unit to another unit with its standard conversion.
1 kg = 2.205 lb
75 kg is 175 lb to its nearest whole number.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 1000 m
1 hour = 60 minutes
We have,
1 kg = 2.205 lb
Multiply 75 on both sides.
75 kg = 75 x 2.205 lb
75 kg = 175.375 lb
Rounding to the nearest whole number.
75 kg = 175 lb
Thus,
75 kg is 175 lb to its nearest whole number.
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Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x
Answers
Answer: (-1, -2)
Step-by-step explanation:
so at first you have (1, 2)
then you were asked to reflect about y=x which is (x, y) = (y, -x)
(1, 2) = (2, -1)
then followed by y=-x which is (x, y) = (-y, -x)
(2, -1) = (-1, -2)
I hope this helps!
What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
Answers
Answer:
I DON'T KNOW ANYTHING SORRY FOR INCONVENIENCE
How do you find the angles of a 5/12/13 triangle?
Answers
The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.
What is Law of cosines formula?In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ
where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.
To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.
a² = b²+ c²– 2bc cos αb²= a² + c²– 2ac cos βc²= b² + a² – 2ba cos γWe have , a = 5 , b = 12 , c= 13
cos α =( 12² + 13² - 5² )/2×12×13= 288/312
=> α = cos⁻¹(0.923 ) = 22.63°
cos β = (5² + 13² - 12² )/2×13×5 = 50/130
=> β = cos⁻¹(5/13) = 67.38°
cos γ = (12² + 5² - 13² )/2×12×5= 0
=> γ = cos⁻¹(0) = 90°
Hence, the required angles are 90°, 22.63°, 67.38°.
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In a clinical trial to test a vaccine's effectiveness, the researchers report a slight reduction in the percentage of those catching the virus in comparison to those in a control group, and publish a p-value of 0.23. What is the best interpretation of this value
Answers
A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).
The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.
In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.
Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.
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The figure shows quadrilateral PQRS. What additional information do you need in order to conclude that △SPR≅△QRP by the ASA Triangle Congruence Theorem? Explain.
Answers
The additional information for the figure is
angle SRP ≅ angle QPRHow to find the additional informationFirst lets look at ASA congruence theorem
The ASA Triangle Congruence Theorem also known as the Angle-Side-Angle Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
In the figure the included side is PR and one to the angle required that is given is angle SPR ≅ angle PRQ
The additional information will be angle SRP ≅ angle QPR
hence we have that
Angle = angle SPR ≅ angle PRQ
Side = PR ≅ RP
Angle = angle SRP ≅ angle QPR
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Why Can't I have the Virtuoso Badge in Brainly? I have met the requirements.
Answers
You need 500 factors to rank up and come to be Virtuoso in Brainly app.
Your can check the quantity of brainliest answer for your account itself
To come to be an virtuoso you at the least require five brainliest answer and also you must have it inside the variety of 30 days and now no longer the whole quantity of brainliest answer.
Whilst you get a complete of five brainliest answer inside 30 days then you may rank up.
Benefits using Brainly appUsing the service is quite easy because after registering on the Brainly application, we can immediately ask and answer questions.
Brainly as an application that brings together students and educators online tries to accommodate the need for online teaching and learning activities. Another benefit of Brainly is that it presents a new, more fun way of learning various literature and science. Brainly brings students and educators together in a mobile platform that is very accessible and efficient.
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In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answers
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
Find the product.
(t-by)(4t+3by)
Answers
Answer:
Step-by-step explanation:(t-by)(4t+3by)
The first term in the first bracket is multiplied by the last bracket
t(4t+3by)=4t^2+3bty
The second term in the first bracket is multiplied by the last bracket
-by(4t+3by)=-4bty-3b^2y^2
Add the results together and simplify where possible
4t^2+3bty-4bty-3b^2y^2=4t^2-bty-3b^2y^2
Please helppppppppppppp
Answers
Answer:
6.08
Step-by-step explanation:
Hope this helps
Let p be a prime. A positive integer α is called a primitive root of p if ever integer a with 1≤a≤p−1 can be expressed as a=α
i
modp for a unique i with 0≤i≤p−2. It is known that every prime has at least one primitive root. The exponent i is referred to as the discrete logarithm, or index, of a for the base α, and is denoted log
α
(a) or index (a). The discrete logarithm problem is to compute the unique exponent i (i.e., log
α
(a) ), given p,α and a. If p is large (say, p has 130 digits), people believe that it is computationally very hard to solve the discrete logarithm problem. Prove that 2 is a primitive root of 11 . Find out log
2
(9). (10 marks) Show that it is easy to compute a, given p,α and i. To this end, you need to describe an efficient algorithm for computing a.
Answers
The given p, α, and i using the exponentiation by squaring algorithm.
To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.
verify this by checking the powers of 2 modulo 11:
2² ≡ 1 (mod 11)
2²≡ 2 (mod 11)
2² ≡ 4 (mod 11)
2³ ≡ 8 (mod 11)
2² ≡ 5 (mod 11)
2³ ≡ 10 (mod 11)
2³ ≡ 9 (mod 11)
2³ ≡ 7 (mod 11)
2² ≡ 3 (mod 11)
2³ ≡ 6 (mod 11)
The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.
To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.
A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.
The algorithm for computing a given p, α, and i is as follows:
Set result = 1.
Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].
For j from m to 0:
a. Square the current result: result = result × result (mod p).
b. If bj = 1, multiply the current result by α: result = result × α (mod p).
Return the final result.
This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.
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A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
Answers
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
How can I explain that a relation is a function?
Answers
Answer:
Using a graph of the data points, you can determine if a relation is a function by using the vertical line test. If you can draw a vertical line through a graph and touch only one point, the relation is a function.
Step-by-step explanation:
Answer:
use a graph of data points
A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two- way table which statement true? a) French Not French Total 5 students study both French and Spanish.
b) 63 students study French.
c) 2 students study neither French nor Spanish. d) 30 students study French, but not Spanish.
e) 63 students study Spanish.
Spanish 5 63 68 Not Spanish 30 2 32 5 Total 35 65 100
Answers
Answer: 5 students study both French and Spanish. 2 students study neither French nor Spanish. 30 students study French, but not Spanish.
Step-by-step explanation:
5 students study both French and Spanish.
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
please help me i'm being timed
Answers
x - coordinate of the solution of given system of linear equations is :
-3now, let's plug the value of x as -3 in the first equation, we get :
\( - x + y = 6\)\( - ( - 3) + y = 6\)\(3 + y = 6\)\(y = 6 - 3\)\(y = 3\)therefore, value of y = 3
correct choice - b
Answer:
\( y = 3 \)
Step-by-step explanation:
Given system of equations ,
\(\begin{cases} -x +y = 6\dots (i) \\ 2x -5y = -21 \dots (ii)\end{cases}\)
2(i) + (ii) :-
\(\implies -2x +2y +2x -5y = -21+12 \)
Simplify RHS and LHS ,
\(\implies -3y = -9 \)
Divide both sides by -3 ,
\(\implies \boxed{ y = 3}\)
the difference between two positive integers is always ?
Answers
Answer:
positive
Step-by-step explanation: