The sample standard deviation of a set of numbers is calculated below. Fill in the blank for the missing part of this calculation.
Answers
The table given shows the calculation of the variance and standard deviation of a given sample.
The formula for the variance is given as shown below;
\(\begin{gathered} S^2=\frac{\Sigma(x_i-\mu)^2}{n-1} \\ \text{Where;} \\ S^2=S\tan dard\text{ deviation} \\ \Sigma=Summation(addition) \\ x_i=value\text{ from observed data} \\ \mu=\operatorname{mean}\text{ from the observed data} \\ n=\text{sample size} \end{gathered}\)When we substitute for the values given, this becomes;
\(\begin{gathered} S^2=\frac{\Sigma(x_i-\mu)^2}{6-1} \\ S^2=\frac{361+196+4+36+9+16}{5} \\ S^2=\frac{622}{5} \\ S^2=124.4 \end{gathered}\)Therefore, the missing value is 622.
This is the addition of each observed data minus the mean (that is, the addition of the third column).
Related Questions
How many is it all together
Answers
Pictures in order !
Answers
Answer:X=10
Step-by-step explanation: 3x-2=2x+8 If that's what you're looking for
subtract: (2x^2-6x+7) - (5x^+2x-8)
Answers
Answer:
2x^2 - 6x + 7 - (5x^2 + 2x - 8)
Distributive a -1 to each term in the parentheses.
2x^2 - 6x + 7 - 5x^2 - 2x + 8
Combine like terms.
-3x^2 - 8x + 15 is the expression after being subtracted.
Answer:
−3x² − 8x − 1Step-by-step explanation:
(2x² − 6x + 7) − (5x² + 2x +8)
To find the opposite of 5x² + 2x + 8, find the opposite of each term.
2x² − 6x + 7 − 5x² − 2x − 8
Combine 2x² and −5x² to get −3x²
−3x² − 6x + 7 − 2x − 8
Combine −6x and −2x to get −8x.
−3x² − 8x + 7 − 8
Subtract 8 from 7 to get −1.
−3x² − 8x − 1
Lauren owns 28 acres of land which she rents to a rancher for $3603 per acre per year. Her property taxes are $942 per acre per year. How much profit does she make on the land each year?
a) $99,942
b) $127,260
c) $101,826
d) $74,508
Answers
Answer:
B)$127,260
Step-by-step explanation:
28 x 3603= 100884
942 x 28=26376
100884 + 26376= B) $127260
help! please check the picture
Answers
algebra domain and range please help
Answers
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)
The amount Max earned last week can be modeled by the expression 25 plus 5 i greater or equal than 95 comma where i is the number of items he sold. Which number line shows how many items he could have sold last week?
Answers
Answer:
Line 3 (or C)Step-by-step explanation:
The inequality as per description is:
25 + 5i ≥ 955i ≥ 95 - 255i ≥ 70i ≥ 70/5i ≥ 14i = [14, + ∞)This is shown on the number line 3 on the picture or option C
Answer
Line 3 (or C)
Step-by-step explanation:
25 + 5i ≥ 95
5i ≥ 95 - 25
5i ≥ 70
i ≥ 70/5
i ≥ 14
i = [14, + ∞)
Suppose that the length of time y it takes a worker to complete a certain task has the probability density function given by f (y) = ...where θ is a positive constant that represents the minimum time until task completion Let Y1, Y2, , Yn denote a random sample of completion times from this distribution. (a) Find the density function for Y(1) = min (Y1, Y2, …. ,Yn). (b) Find E(Y(1)). (10%)
Answers
n[ eⁿ(θ - y) is the density function.
What is density in short answer?.
How firmly a material is packed together is determined by its density. As the mass per unit volume, it has that definition.
Symbol for density: D or The density is expressed as follows: = m/V, where m is the object's mass and V is its volume.
Let Y₁ , Y₂ .......... Yₙ denoote a random sample of completion times from this distribution .
min order statistic Y₁ = min ( Y₁ , Y₂ .......... Yₙ )
The density function for y₁ is given by
Fy₁ = n[ 1 - F(y)ⁿ⁻¹ f(y)
= n[1 - ( 1 - eθ - y)]ⁿ⁻¹ * eθ - y
= n[eθ - y]ⁿ⁻¹ * eθ - y
= n[ eⁿ(θ - y)
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3. Valentina and Chloe were standing next to each other. Chloe walked south for 86 meters
and then west for 93 meters, while Valentina stood still. Then, Chloe walked directly back
to Valentina. To the nearest tenth of a meter, what is the distance that Chloe walked to
get back to Valentina?
Answers
Answer:
86 meters was back on valentina,
The distance is 126.67 meters that Chloe walked to get back to Valentina.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
Valentina and Chloe are standing next to each other.
The distance travelled by Chloe in south direction = 86 meters.
And distance covered in west direction = 93 meters
Since, Valentina does not move from its place.
To find the nearest distance that Chloe come back to Valentina,
Use Pythagoreans theorem,
(Hypotenuse)² = (Base)² + (Perpendicular)²
Let the required distance is x meters
(x)² = (86)² + (93)²
x² = 7396 + 8649
x² = 16045
x = 126.67
The required distance IS 126.67 meters.
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Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
Answers
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
Answers
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
PLEASEEEEEE HELPPPP!!!!
Answers
3)9.375 and 12 is )37.5
2x-3\(\geq\) 0
Answers
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
12. Let g(x) =ƒ (2x)
a) Find g(-2) and g(1).
b) Determine the slope of g(x) on the interval [0, 1].
c) Sketch a graph of g(x).
АУ
Answers
a. g(-2) = -4
g(-1) = 2
b. slope of g(x) on the interval = 2
Given,
a. g(x ) = f(2x)
g(-2) = 2(-2)
g(-2) = -4
g(1) = 2(1)
g(1) = 2
b. slope = g(b) -g(a)/b-a
g(0) = 2(0)
g(0)= 0
g(1) = 2(1)
g(1) = 2
therefore, g(1)-g(0)/1-0
slope = 2-0/1
slope = 2
hence we get the slope as 2.
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If -3+i is a riot of the polynomial function f(x), which of the following must also be a root of f(x)
Answers
Answer:
-3-i
Step-by-step explanation:
imaginary roots always occur in pairs.
so second root=-3-i
Answer:
A) -3-i
Step-by-step explanation:
imaginary roots always occur in pairs.
The governor of state A earns $49,485 more than the governor of state B. If the total of their salaries is $288,035, find the salaries of each.
need to find a and b
Answers
Answer:
a) $168,760
b) $119,275
Step-by-step explanation:
For this, I believe you do $288,035 - $49,485. This equals $238,550.
Then divide this by 2 to get the salary for state B, which is $119,275 .
$168,760 remains, so it's the salary for state A.
Answer:
Governor of state A = 168,760
Governor of state B = 119,275
Step-by-step explanation:
A = 49485 + B Eq. 1
A + B = 288035 Eq. 2
A = Earns of governor of state A
B = Earns of governor of state B
Replacing Eq. 1 in Eq. 2:
(49485+B) + B =288035
2B + 49485 = 288035
2B = 288035 - 49485
2B = 238550
B = 238550/2
B = 119275
From eq. 1
A = 49485 + 119275
A = 168760
Check:
from eq. 2:
A + B = 288035
168760 + 119275 = 288035
Using the product and power properties of logarithms, expand ln (x6 y3).
Question 16 options:
18(ln x + ln y)
6 ln x + 3 ln y
3 ln x + 6 ln y
6 ln x – 3 ln y
Answers
Answer:
6 ln x + 3 ln y
Step-by-step explanation:
Help need because i´m stuck
Answers
Answer:
594 in²
Step-by-step explanation:
There are several ways to do this.
divide the shaded region into rectangles, and add their areasdivide the shaded region into trapezoids and add their areassubtract the white space from a bounding rectangle.Given the way the figure is dimensioned, the last strategy is the easiest.
A rectangle that surrounds the entire figure will be 36 inches wide and 22 inches high. The white space rectangle in the lower right corner is shown to be 18 inches wide and 11 inches high.
The area of a rectangle is the product of its length and width:
A = LW
So the difference in area between the "bounding" rectangle and the whitespace rectangle is ...
shaded area = (36 in)(22 in) -(18 in)(11 in) = 792 in² -198 in²
shaded area = 594 in²
_____
Additional comment
You can also recognize that the dimensions of the cut out corner are each half the overall dimensions. That means the shaded area is 3/4 of the overall "bounding" rectangle. There are several ways you can make use of that fact.
a statistics activity, students are asked to determine the proportion of times that a spinning penny will with The students are instructed to spin the penny 10 times and record the number of times the penny fands up For one student, it lands tails side up six times. The student will construct a 90% confidence interval for the true proportion of tails upAre the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the randomness condition is not met No, the Large Counts Condition is not met
Answers
No, the conditions for inference are not met. The Large Counts Condition is not satisfied because the number of successes (6) is less than 10.
To determine if the conditions for inference are met in this scenario, we need to consider a few key conditions: the 10% condition, the randomness condition, and the Large Counts Condition.
The 10% condition: This condition states that the sample size should be no more than 10% of the population size. In this case, the sample size is 10 (the number of times the penny was spun), and we don't have information about the population size. However, since the proportion of times the penny lands tails up is not likely to be affected by the sample size of 10, we can assume that the 10% condition is met.
The randomness condition: This condition requires that the sample is randomly selected from the population. If the student followed the instructions and spun the penny 10 times, recording the number of times it landed tails side up, and there was no bias in the way the spins were performed, we can assume that the randomness condition is met.
The Large Counts Condition: This condition is related to the number of successes and failures in the sample. It states that both the number of successes and failures should be at least 10. In this case, the student recorded 6 tails side up out of 10 spins. Since 6 is less than 10, the Large Counts Condition is not met.
Based on these conditions, we can conclude that the conditions for inference are not fully met. The 10% condition and the randomness condition are likely met, but the Large Counts Condition is not satisfied. This means that we should be cautious when making inferences about the true proportion of tails up based on this sample. It may not be appropriate to construct a confidence interval or perform statistical inference in this case due to the violation of the Large Counts Condition.
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-3х – 10у = -20 -5x — бу = 20
Answers
You can solve a system of equations by graphing
The solution of a system of linear equations is the intersection point both graphs
using a graphing tool
the solution is the point (-10,5)
so
x=-10
y=5
the solution is the intersection point both lines
I will solve the system by substitution
we have
-3х – 10у = -20 --------> equation A
-5x — бу = 20 --------> equation B
isolate the variable y in the equation A
10y=-3x+20
y=-0.3x+2 --------> equation C
substitute equation C in equation B
-5x-6(-0.3x+2)=20
solve for x
-5x+1.8x-12=20
-3.2x=20+12
-3.2x=32
x=-10
substitute the value of x in the equation C
y=-0.3x+2
y=-0.3(-10)+2
y=3+2
y=5
the solution is x=-10 and y=5
This graph shows the four quadrants of the coordinate plane with a line passing through (0,2) and (6,6) and extending in both directions. Write an equation for the line in y=mx+b. Simplify any fractions.
Answers
Therefore, the equation of the line passing through (0, 2) and (6, 6) in y=mx+b form is y = (2/3)x + 2.
How are equations for a line determined?We must ascertain the slope (m) and the y-intercept in order to compute the equation of a line with the formula y=mx+b. (b).
The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
m = (y2 - y1)/(x2 - x1)
Using (0, 2) and (6, 6), we can calculate:
m = (6 - 2)/(6 - 0) = 4/6 = 2/3
As a result, the line has a 2/3 slope.
We may use the point-slope form of the equation to determine the y-intercept:
y - y1 = m(x - x1)
Using the slope we just discovered and the location (0, 2), we have:
y - 2 = (2/3)x
When we simplify this equation, we obtain:
y = (2/3)x + 2
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A gardening shop receives a shipment of 12 crates of plants. Each crate contains 18 plants. A worker displays all the plants on 24 shelves with the same number of plants on each shelf. How many plants are displayed on each shelf?
A. 6
B. 16
C. 9
D. 36
Thanks!
Answers
Answer:16
Step-by-step explanation:
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answers
Answer:
3.75
Step-by-step explanation:
trust me
what number is relativley prime to 63
Answers
Answer: Two numbers are said to be relatively prime if they share no common factors other than 1. To find a number that is relatively prime to 63, we need to find a number that has no factors in common with 63 other than 1.
The prime factorization of 63 is 3 * 3 * 7. Therefore, any number that is divisible by 3 or 7 is not relatively prime to 63.
For example, 21 is not relatively prime to 63 because both 21 and 63 are divisible by 3. Similarly, 35 is not relatively prime to 63 because both 35 and 63 are divisible by 7.
One number that is relatively prime to 63 is 25. 25 is not divisible by 3 or 7, and therefore has no common factors with 63 other than 1.
What’s the correct answer for this?
Answers
Answer:
x = 5
Step-by-step explanation:
Since TV bisects (equally divides) EF hence <EKT = 90°
Also <EKT = 5x+65
So
5x+65 = 90
5x = 90-65
5x = 25
Dividing both sides by 5
x = 5
use the sketch below to decide if congruence can be proved, and if so, which method would prove the congruence.
Answers
Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.
The convergence method which proves this congruence is SSS(side-side-side) congruence.
We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF
Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,
so, AB ≅ FG
Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,
so, AC ≅ FH
To find the lengths of BC and GH , we can use distance formula.
Length of BC :
BC = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).
BC = √[(-4 + 7)² + (5 - 0)²]
= √[32 + 52]
= √[9 + 25]
= √34
Length of GH :
GH = √[(x₂ - x₁)² + (y₂ - y₁)²]
(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).
GH = √[(6 - 1)² + (5 - 2)²]
= √[52 + 32]
= √[25 + 9]
= √34
Conclusion :because BC = √34 and GH = √34,
=>BC ≅ GH
All the three sides of one triangle is congruent to the corresponding sides of other triangle.
By SSS congruence postulate,
ΔABC ≅ ΔFGH
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♦️ANSWER NEEDED QUICK, SHOW YOUR WORK♦️
A seamstress uses 200 yards of fabric to make 150 dresses of the
same size. At this rate how many yards of fabric are needed to
make 1 dress?
Answers
Answer:
1 and 1/3 yard
Step-by-step explanation:
200 divided by 150 is equal to 4 divided by 3
using a fraction calculator i did
4 3 1
- / - = 1 -
1 1 3
Answer:
How many yards to make one dress? = 1.33
Step-by-step explanation:
This is a ratio problem (fractions) used to solve an unknown.
if 200yds makes 150 dresses then let x (your unknown) be the yds needed to make 1 dress.
200/150 = x/1
150*x = 200*1
150x = 200
150x/150 = 200/150
x = 200/150
x = 1.33333
Math please help i have 8 more
Answers
Answer:
Step-by-step explanation:
he bout 6 red rose
Step-by-step explanation:
6
Eli bought 6 roses as 2/3 ×9=2×3 =6th
What value of x makes the equation below true 6x-7=26
Answers
Answer:
add 7 to both sides which makes
6x=33
divide by 6
x=33/6 or 5.5
Step-by-step explanation:
Answer:
11/2 or 5.5
Step-by-step explanation:
Can someone please help me
Answers
9514 1404 393
Answer:
Exponential Decay
Step-by-step explanation:
The base of the exponential term is less than 1, so the function represents decay.
