The value of fraction which is equal to 2/-7 are,
⇒ - 4/14, - 6/21, - 8/28, ..
We know that;
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ 2/- 7
Now, We can find all the fractions which is equal to 2/-7 as,
⇒ 2/- 7 = - 2/7
= - 4/14,
⇒ - 2/7 = - 6/21,
⇒ - 2/7 = - 8/28,
Thus, the value of fraction which is equal to 2/-7 are,
⇒ - 4/14, - 6/21, - 8/28, ..
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Let X1 and S21 be the sample mean and variance of a random sample of size
n1 from a distribution with mean μ1 and variance σ21. Similarly, let X2 and S22 be the
sample mean and variance of a random sample of size n2 from another distribution with
mean μ2 and variance σ22.
We are interested in estimating μ1 + μ2:
(a) Find an unbiased estimator.
(b) What is the variance of your estimator?
(c) What is the standard error of your estimator?
(d) What is the MSE of your estimator?
(e) How will you estimate the variance of your estimator?
(f) How will you estimate the standard error of your estimator?
(g) Is the unbiased estimator unique?
To estimate the sum of two population means, μ1 + μ2, from two independent random samples, we can use the sample means, X1 and X2, as an unbiased estimator.
Explanation:
a. An unbiased estimator for μ1 + μ2 is X1 + X2, where X1 and X2 are the sample means.
b. The variance of the estimator is Var(X1 + X2) = Var(X1) + Var(X2), assuming the two samples are independent.
c. The standard error of the estimator is the square root of its variance, SE = √(Var(X1) + Var(X2)).
d. The mean squared error (MSE) of the estimator is the sum of its variance and the squared difference between the estimator and the true parameter.
e. The variance of the estimator can be estimated using the sample variances, S21 and S22, from the two samples.
f. The standard error of the estimator can be estimated by taking the square root of the estimated variance.
g. The unbiased estimator for μ1 + μ2, X1 + X2, is not unique. Other unbiased estimators may exist, depending on the specific context and requirements of the estimation problem.
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A sequence is defined by the explicit formula an=3n+4. Which recursive formula represents the same sequence of numbers?
The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.
A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.
To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.
To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:
a1 = 3(1) + 4 = 7
Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.
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HURRY !!! Which is not a method or solving systems of linear equations?
graphing
elimination
distributive
substitution
Answer:distributive
Step-by-step explanation:
which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?
The three quantities needed are the mean of X, the mean of Y, and the slope
How to determine the values?The y-intercept of a linear regression is calculated using:
\(a = \bar y - a\bar x\)
Where:
\(\bar y\) represents the mean of y\(\bar x\) represents the mean of xa represents the slopeHence, the three quantities needed are the mean of X, the mean of Y, and the slope
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Sameena buys x packets of batteries and y boxes of batteries write down and expression, in terms of x and y, for the total number of batteries sameena buys
Answer:
4x plus 20y
Step-by-step explanation:
4 times x plus 20xy
4x plus 20y
Find four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term. Show your work.
Four numbers forming a geometric sequence such that the second term is 35 less than the first term and the third term is 560 more than the fourth term are -35/3, -140/3, - 560/3, -2240/3 and 7, -28, 112, - 448
Four numbers forming a geometric sequence can be calculate as follows
these terms: a₁, a₂, a₃, a₄
a₁ = a₂ + 35
a₃ = a₄ + 560
Use the formula for the n-term:
a₂ = a₁r
a₃ = a₁r²
a₄ = a₁r³
replace
a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
Subtracting from the first equation to the second:
r² = 560/35
r² = 16
r = √16
r = ± 4
Use the first equation to find the first term:
a₁( 1 ± 4) = 35
1. a₁ = 35/-3 = -35/3
2. a₁ = 35/5 = 7
We have two sequences:
r = 4
-35/3, -140/3, - 560/3, -2240/3
r = -4
7, -28, 112, - 448
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Apply the Gram-Schmidt orthonormalization process to transform the given basis for p into an orthonormal basis. Use the vectors in the order in which they are given. B = {(1, -2, 2), (2, 2, 1), (-2, 1
The orthonormal basis of p is {N1, N2, N3} = {(1/3, -2/3, 2/3), (1/√15, 3/√15, -1/√15), (-2/√33, -1/√33, 4/√33)}.
Let {v1, v2, v3} be the given basis of p.
Apply Gram-Schmidt orthonormalization process to B = {(1, -2, 2), (2, 2, 1), (-2, 1, 3)} as follows:v1 = (1, -2, 2)N1 = v1/‖v1‖ = (1/3, -2/3, 2/3)v2 = (2, 2, 1) - (v2 ⋅ N1) N1= (2, 2, 1) - (5/3, -4/3, 4/3)= (1/3, 10/3, -1/3)N2 = v2/‖v2‖ = (1/√15, 3/√15, -1/√15)v3 = (-2, 1, 3) - (v3 ⋅ N1) N1 - (v3 ⋅ N2) N2= (-2, 1, 3) - (-4/3, 8/3, -4/3) - (-2/√15, -4/√15, 7/√15)= (-2/3, -2/3, 10/3)N3 = v3/‖v3‖ = (-2/√33, -1/√33, 4/√33)
Therefore the orthonormal basis of p is {N1, N2, N3} = {(1/3, -2/3, 2/3), (1/√15, 3/√15, -1/√15), (-2/√33, -1/√33, 4/√33)}.Answer: {(1/3, -2/3, 2/3), (1/√15, 3/√15, -1/√15), (-2/√33, -1/√33, 4/√33)}.
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The orthonormal basis for the given basis isB = {B₁, B₂, B₃} = {(1, -2, 2)/3, (1, 3, 0)/√10, (-1/√10)(1, 1, -3)}Given basis is B = {(1, -2, 2), (2, 2, 1), (-2, 1, -2)}
Let’s begin the Gram-Schmidt orthonormalization process for the given basis and transform it into an orthonormal basis.
Step 1: Normalize the first vector of the basis.B₁ = (1, -2, 2)
Step 2: Project the second vector of the basis onto the first vector and subtract it from the second vector of the basis.
B₂ = (2, 2, 1) - projB₁B₂= (2, 2, 1) - [(2+(-4)+2)/[(1+4+4)] B₁]B₂ = (2, 2, 1) - (0.5)(1, -2, 2)B₂ = (1, 3, 0)
Step 3: Normalize the vector obtained in step 2.B₂ = (1, 3, 0)/ √10
Step 4: Project the third vector of the basis onto the orthonormalized first and second vectors and subtract it from the third vector.
B₃ = (-2, 1, -2) - projB₁B₃ - projB₂B₃ = (-2, 1, -2) - [(2+(-4)+2)/[(1+4+4)] B₁] - [(1+9+0)/10 B₂]
B₃ = (-2, 1, -2) - (0.5)(1, -2, 2) - (1.0)(1/ √10)(1, 3, 0)B₃ = (-2, 1, -2) - (0.5)(1, -2, 2) - (1/√10)(1, 3, 0)
B₃ = (-1/√10)(1, 1, -3)
Therefore, the orthonormal basis for the given basis isB = {B₁, B₂, B₃} = {(1, -2, 2)/3, (1, 3, 0)/√10, (-1/√10)(1, 1, -3)}
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Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = al/* and y = 6
-, about the line a = -3. Volume =
The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.
To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.
The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.
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The distance between two cities on a map measure 3.71 inches. The scale on the map shows that 2 inches is equal to 50 miles. How many miles apart are the two cities
Answer:
92.75 miles
Step-by-step explanation:
3.71 / 2 = 1.855
1.855 * 50 miles = 92.75 miles
a random sample of 380 found that 67% of the readers owned a personal computer. find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is 6.51.
The test statistic for this problem can be calculated using the formula:
z = (p - P) / √(P * (1 - P) / n)
Where p is the sample proportion (0.67 in this case), P is the hypothesized population proportion (we don't know this value, so we assume it to be 0.5 for a two-tailed test), n is the sample size (380), and z is the standard normal distribution value corresponding to the level of significance.
Plugging in the values, we get:
z = (0.67 - 0.5) / √(0.5 * (1 - 0.5) / 380) = 6.51
So the value of the test statistic is 6.51.
The test statistic is a measure of how far the sample proportion deviates from the hypothesized population proportion under the null hypothesis. In this case, we assume that the population proportion is 0.5 (since we have no reason to believe otherwise), and we calculate the probability of observing a sample proportion of 0.67 or greater assuming this null hypothesis is true.
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If the wax cost $1.67 a square foot, how much will the wax cost to cover the floor?
$832.50
$1,300.10
$1,664.99
$2,600.19
Answer:
3. $1664.99
Step-by-step explanation:
1) the area of triangle is
a = 14
b = 19 + 33 - 28 = 24
S = 24 * 14 * 1/2 = 168 ft^2
2) the are of rectangle between the biggest rectangle and triangle is
a = 28 - 19 = 9
b = 14
S = 14 * 9 = 126 ft^2
3) the area of rectangle is
19 * 37 = 703 ft^2
4) the sum of all areas is
703 + 126 + 168 = 997
5) the wax will cost
997 * 1.67 = 1664.99
Find the volume of a pyramid with a square base
Answer:
The volume is 1866.
Step-by-step explanation:
please help.
:)))
-thanks
Answer:
12 miles
Step-by-step explanation:
27-3=$24 for distance
$24/$0.4 per unit * 0.2 mile per unit = 12 miles
What is the equation for the parabola that
has a focus at (-7, 6) and a directrix of x
1?
Answer:
Step-by-step explanation:
Parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
Explanation:
Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.
Let the point be
(
x
,
y
)
. Here focus is
(
7
,
5
)
and distance from focus is
√
(
x
−
7
)
2
+
(
y
−
5
)
2
. Its distance from directrix
y
=
−
3
i.e.
y
+
3
=
0
is
|
y
+
3
|
.
Hence equaion of parabola is
(
x
−
7
)
2
+
(
y
−
5
)
2
)
=
|
y
+
3
|
2
or
x
2
−
14
x
+
49
+
y
2
−
10
y
+
25
=
y
2
+
6
y
+
9
or
x
2
−
14
x
+
65
=
16
y
i.e.
y
=
1
16
(
x
2
−
14
x
+
49
−
49
)
+
65
16
or
y
=
1
16
(
x
−
7
)
2
+
65
−
49
16
or
y
=
1
16
(
x
−
7
)
2
+
1
Hence parabola's equation is
y
=
1
16
(
x
−
7
)
2
+
1
and vertex is
(
7
,
1
)
.
graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
PLEASE DO STEP BY STEP BECAUSE IT NEEDS ME TO SHOW MY WORK!
BEST ANSWER GETS BRAINLIEST! :) TYSM I NEED ANSWER ASAP
Answer:
200<=15x
divide by 15
You have to work at least 13 1/3 hours to earn $200
<= means greater than or equal to
Step-by-step explanation:
The minimum number of hours to earn at least $200 is 14
How to determine the minimum number of hours?Let the number of hours be x.
Given that hourly rate is $15, and he needs to earn at least $200;
The inequality of the scenario is:
15x >= 200
Divide both sides by 200
x >= 13.33
The smallest integer greater than 13.33 is 14.
So, we have:
x = 14
Hence, the minimum number of hours is 14
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which expression gives the distance between the two points (2,3) and (4,-3)
The expression that will give the distance between points is option D i.e. √(2 - 4)² + (3 + 3)². The solution has been obtained by using distance formula.
What is the distance formula?
The distance between two locations on a coordinate plane can be calculated using the distance formula. The distance equation is written as d = √(x₂ - x₁)² + (y₂ - y₁)².
We are given two points as (2,3) and (4,-3).
So, x₁ = 2, y₁ = 3, x₂ = 4, y₂ = -3
Now, substituting these values in the distance formula, we get
d = √(2 - 4)² + (3 + 3)²
Hence, the expression that will give the distance between points is option D.
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Full question has been attached below
plzz help me with this
Answer:
Lily is correct.
Step-by-step explanation:
Lily is correct. There is no such thing as AAA congruence. James has proved that the three angles are the same, but the triangles could still be of different sizes.
3) In a video game, Siobhan encountered 40 magic rocks and collected 12 of them. What percent of the magic
rocks that she encountered did she collect?
Answer:
30%
Step-by-step explanation:
Mr Johns surveyed students in his math classes to determine how many hours they use their cell phones each day. The results are shown in the dot plot below what is the range of his data
Answer:
17
Step-by-step explanation:
Range is the biggest number minus the smallest number. So 20-3=17
daca cel mai mare divizor comun al lor a si b este 21 iar produsul lor este 15435 cat sunt a si b
Answer:
\({\dag{\underline{{\sf{\red{t {}^{2} = \: \dfrac{4.05}{5} \: = 0.81 \: , \: \: t = 0.9s}}}}}}\)
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
On a math quiz, Tatiana earns 5 points for each question she answers correctly. She wrote this
equation to find how many points she earns (p) based on how many questions she answers
correctly (g):
p = 5q
Identify the dependent and independent variables.
Points earned (p)
Questions correct (g)
Dependent variable Independent variable
Answer:
For points earned (p), the button should be on the left, and for questions correct (q), its on the right.
Step-by-step explanation:
me not know how to speak English!
In the given equation p = 5q, p is the dependent variable and g is the independent variable.
Given that Tatiana earns 5 points for each question she answers.
So, the equation is p = 5q
The above equation explains that for every question she answers, she earns 5 points. That means answering questions which is "q" is an independent variable as it is not depending on any other factor.
The points earned which is "p", is completely depending on answering questions, so the "p" which is points earned is a dependent variable.
From the above explanation, we can conclude that p is dependent variable and q is independent variable.
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The difference between the annual and semi-annual compound interest on a sum of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum.
Answer:
→ successive Rate of 20% for 2 Years = 2*20 + (20*20/100) = 40 + 4 = 44%.
And, when interest is compounded semi - Annually,
→ Rate = (20/2) = 10% .
→ Time = 2 * 2 = 4 Years.
So,
→ successive Rate of 10% for 4 Years = (2*10 + (10*10/100) = 21% Now, => 21*2 + (21*21/100) = 42 + 4.41 = 46.41% .
A/q,
→ (46.41%) - 44% = 482
→ 1% = (482/2.41)
→ 100% = (482/2.41) * 100 = Rs.20000 (Ans.)
Step-by-step explanation:
Answer from Gauth math
Kiley, jermaine, and gunther are playing tug-of-war. Kiley and jermaine are on the same side of the rope, and gunther is on the other side. Kiley is exerting a force of 20 n, and jermaine is exerting a force of 25 n.
The positive sign indicates that Gunther pulls to the right.
A force that would result in a balanced force for the game is: 45N
First we define a reference system.
Let's assume the horizontal axis as positive towards the right.
Suppose Kiley and Jermaine pull the rope to the left, while Gunther pulls the rope to the right.
The equilibrium equation is given by:
-20-25+F=0
Where,
F: force with which Gunther pulls the rope.
Clearing F we have:
The positive sign indicates that Gunther pulls to the right.
A force that would result in a balanced force for the game is: 45N
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 447 gram setting. Based on a 25 bag sample where the mean is 449 grams and the standard deviation is 27, is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled
Since our p-value is greater than our significance level, we fail to reject the null hypothesis. This means that there is not sufficient evidence at the 0.05 level to conclude that the bags are underfilled or overfilled.
To determine whether the bag filling machine is working correctly at the 447 gram setting, we can conduct a hypothesis test.
Our null hypothesis would be that the bags are being filled correctly at the 447 gram setting, while the alternative hypothesis would be that the bags are either underfilled or overfilled.
Using the information given, we can calculate a t-score:
t = (449 - 447) / (27 / sqrt(25)) = 0.2963
We can then use a t-distribution table with 24 degrees of freedom (25 bags - 1) to find the p-value associated with this t-score.
Assuming a significance level of 0.05, our critical t-value would be 2.064.
Looking up the p-value associated with our t-score of 0.2963, we find that it is 0.7703.
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two 6-sided dice are rolled 40 times and the data from each roll is recorded. what are the theoretical odds of how many times the dice landed with the same number?
Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.
Probability of getting even number is
3/6 = 0.5
i.e. 50%
Out of 40 rolls there are 50% chances to get even number. i.e.
50 × 1/100 × 40 = 20
Thus 20 is the answer,
It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.
57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.
If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.
So, I think it really depends on what exactly you mean by likely.
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The answer of the puzzle is?
PLEASEEE HELPPP ILL MARK BRAINLY
Step-by-step explanation:
this is the first time ⏲️has a very
Fill in the Blank 1. 272 > 14
Answer:
19.4285714286 Step-by-step explanation: 272 divided by 14 can be calculated as follows. 272/14 math problems division
Round 2.763 to the hundredths place (2nd decimal place).
Answer:
2.76
Step-by-step explanation:
Answer: 2.760
Step-by-step explanation:
3 is rounded to 0 so 2.763 rounded to the hundredths place equals 2.760
5
Type the correct answer in the box. Use numerals instead of words.
The sum of the digits of a three-digit number is 12. The tens digit, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of
the tens and hundreds digits. What is the number?
The three-digit number is
Answer:
642
Step-by-step explanation:
just trust me my child had this question :)