When the sample size is small and the population distribution is not normal, the mean is a biased estimate.
Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.
Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.
These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.
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Complete question:
Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range
DUE LAST WEEK PLS HELP
Answer:
135 degrees
Step-by-step explanation:
angle 3 and 7 are corresponding meaning that they are equal so we find the measure of angle 3
to do this we subtract the measure of 4 which is 55 from 180
180-55
135
hopes this helps
A number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 what is the number
Where a number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 the number is 768.
Why is this so?In this case, the hundreds digit is 6, which means the number is between 600 and 699. The tens digit is 8, which is greater than 5, so we round up to the next hundred, which is 700. Therefore, the number is between 700 and 799.
We also know that when the number is rounded to the nearest hundred, it rounds to 800. This means the number is closer to 800 than to 700, and is at least 750. The ones digit is 1, which means the number is odd, and the sum of its digits is 6 + 8 + 1 = 15. This eliminates numbers that are multiples of 10 or have a sum of digits less than 15.
The only three-digit number that satisfies these conditions and rounds to 800 is 768. Therefore, the number is 768.
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6. What is the total surface area of the solid to the right?
A) 72 cm
B) 144 cm
C) 156 cm
D) 184 cm
The total surface area of the prism is 156 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of prism is expressed as;
SA = 2B + ph
where p is the perimeter of the base
B is the base area
h is the height of the prism
Base area = 1/2 bh
h = √5²-4²
= √25-16
= √9 = 3
area = 1/2 × 4×3
= 6 cm²
Perimeter of the base = 3+4+5 = 12 cm
height = 12cm
SA = 2 × 6 + 12 × 12
= 12 + 144
= 156 cm²
therefore the surface area of the prism is 156 cm²
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Type the correct answer in the box. An image of a polygon with sides 2 units and 3 units that form a rectangle and a perpendicular line on a side that form a triangle with base 2 units and height 3 units. The area of the figure is square units.
The area of the figure is 9 square units.
We have,
Rectangle : l = 3 unit and w= 2 unit
Triangle: Height = 3 unit and Base= 2 unit
Now, Area of rectangle
= l w
= 3 x 2
= 6 square unit
and, area of Triangle
= 1/2 x b x h
= 1/2 x 2 x 3
3 square unit
Thus, the area of figure is
= 6 + 3
= 9 square unit
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Subtract 15mn – 22m +2n from 14mn – 12m +7n.
Answer:
(-mn + 10m + 5n)
Step-by-step explanation:
We have to subtract (15 mn- 22 m + 2n) from ( 14 mn - 12 m + 7n )
(14mn - 12m + 7n) - (15mn - 22 m + 2n)
When open the parenthesis before which a negative sign is given negative sign changes all signs of each term inside.
14mn - 12m + 7n - 15mn + 22m -2m
Now we add and subtract like terms.
(-15mn + 14mn) + (22m - 12m) + ( 7n - 2n )
(-mn + 10m + 5n)
So the answer is (-mn + 10m + 5n)
Answer:
-mn + 10m+5n
Explanation:
(14mn - 12m+7n)-(15mn 22m+2n)
Remove the parentheses for addition or subtraction
14mn-12m+7n-15mn +22m - 2n
Combine like terms
-mn + 10m+5n
Which expression can be used to find the value of x?
23(sin 85)
/sin 55
(sin 55) (sin 85°)
/23
23(sin 55)
/sin 85
23 (sin 55°) (sin 85°)
The expression for value of x is (23 sin55)/sin85
Hence, Option C is correct.
In the given figure,
Angle D = 85° and Angle F = 55°
length of DE = x and length of EF = 23
Apply sine rule
SinD/EF = SinF/ED
Put the given values shown in the figure,
Sin85/23 = sin55/x
Hence,
⇒x = (23 sin55)/sin85
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what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
How we get the condition for the first dark fringe?Determine the condition for destructive interference at the first dark fringe.The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.
For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:
Δx = λ/2
where Δx is the path difference and λ is the wavelength of the light.
The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:
Δx = w sin(θ)
Therefore, the condition for the first dark fringe can be expressed as:
w sin(θ) = λ/2
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.
This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.
The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.
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please help, whoever answers first i'll mark brainiest!!!!!20 POINTS
Write the equation of a line in standard form that has x-intercept (−P, 0) and y-intercept (0, −R).
Px − Ry = −PR
Px − Ry = PR
Rx + Py = −PR
Rx + Py = PR
The equation of a line in standard form is Rx + Py = - RP
Writing the equation of a line in standard formFrom the question, we have the following parameters that can be used in our computation:
x-intercept (−P, 0) and y-intercept (0, −R).
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
In this case,
c = -R
So, we have
y = mx - R
Using the other point, we have
0 = -Pm - R
So, we have
-Pm = R
Evaluate
m = -R/P
So, we have
y = -R/Px - R
This gives
Py = -Rx - RP
Add Rx to both sides
Rx + Py = - RP
Hence, the equation is Rx + Py = - RP
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The temperature of chicken soup is 197. 5 f. As it cools, the temperature of the soup decreases 2. 3f
Answer:
If you're multiplying the answer would be 454.25.
197.5 x 2.3 = 454.25
Perform the following sequence of transformations on the polygon ABCDEFGHIJKLMNOPQRSTUVWXYZ on the coordinate plane. Rotate 180degree clockwise about the origin
Then translate horizontally 2 units to the left and vertically 3 units down
What are the coordinates of A”?
The new coordinates are A′(2, -2) B′(0, -4) C′(3, -6)
We are given that;
The graph
Now,
The original coordinates of ∆ABC are:
A(3, 4) B(5, 2) C(7, 5)
After applying the translation rule, we get:
A(3 - 1, 4 - 2) = A(2, 2) B(5 - 1, 2 - 2) = B(4, 0) C(7 - 1, 5 - 2) = C(6, 3)
Step 2: Apply the rotation rule to each translated vertex
To rotate a point 90° clockwise about the origin, we need to use this formula:
(x, y) → (y, -x)
we can rotate each translated vertex:
A(2, 2) → (2, -2) B(4, 0) → (0, -4) C(6, 3) → (3, -6)
Step 3: Write the new coordinates of each rotated vertex using prime notation
The prime notation indicates that these are the new coordinates after the transformation. We use A′ for the image of A, B′ for the image of B, and C′ for the image of C.
Therefore, by transformation the answer will be A′(2, -2) B′(0, -4) C′(3, -6).
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Please help me with this homework
Answer:
9 cm^2
Step-by-step explanation:
1/2x9x2
4.5x2
9
Hope this helps :)
Answer:
Area = 9 cm².Step-by-step explanation:
We are given with a triangle whose Height is 2 cm and base is 9 cm.
We have to calculate the Area of triangle.
As we know that area of triangle is calculated by,
Area = ½ × base × height
Putting the required values we get,
Area = 1/2 × 2 × 9 (cancel 2 with 2)
Area = 9 cm².
Hence, The area of the triangle is 9 cm².
Related information :More Formulas related to area :
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\boxed{\begin{array}{c} \sf Rectangle = Length \times breadth \\ \\ \sf Square = {(Side)}^{2} \\ \\ \sf Trapezium = \dfrac{1}{2} (a+b) h \\ \\ \sf Triangle = \dfrac{1}{2} \times Base \times Height \\ \\ \sf Rhombus = \dfrac{1}{2} \times d_1 \times d_2 \\ \\ \sf Circle = \pi r^2 \\ \\ \sf Parallelogram = Base \times Height \\ \\ \sf Equilateral \: \triangle = \dfrac{ \sqrt{3} }{4} a^2 \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}[/tex]
Solve then determine if true or false to questions below
The statements regarding the linear functions are classified as follows:
f has a greater y-intercept than g: False.f has a greater x-intercept than g: True.f has a greater slope than g: True.How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.Function f(x) is defined as follows:
f(x) = 2x - 5.
Hence:
The y-intercept is of -5.The slope is of 2.The x-intercept is of x = 5/2 = 2.5.For function g(x) we have than when x increases by 4, y decays by 26, hence the slope is given as follows:
m = -26/4
m = -6.5.
Hence:
y = -6.5x + b.
When x = 1, y = -4, hence the intercept b is given as follows:
b = -4 + 6.5.
b = 2.5.
Hence the function is:
g(x) = -6.5x + 2.5.
Then:
The y-intercept is of 2.5 -> greater than f.The slope is of -6.5 -> Less than f.The x-intercept is of x = 2.5/6.5 = 0.39 -> Less than f.More can be learned about linear functions at https://brainly.com/question/24808124
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A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 12 meters long, and the flooring costs $8.00 per square meter. How much will the chef's new floor cost?
Answer:
$768
Step-by-step explanation:
8 x 12 = 96 m²
1 m² = $8.00
96m² x $8.00 = $768
A. there were more lightbulbs in the dot for brand A dot plot for brand B.
B. the mean for brand Ais higher than the mean for brand B.
C. the mean for brand A is the same as the mean for brand B.
D. The mean for brand B is higher that the mean for brand A.
Answer:
B. the mean for brand A is higher than the mean for brand B.
Step-by-step explanation:
It's B, i know this because i did this comparing data sets exam and got a 100% on it.
Good Luck!
The sides of a triangle are 46, 48, and 20. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
Answer:
It is an obtuse triangle.
Step-by-step explanation:
To determine whether the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Let's first determine which side is the longest.
48 is the largest of the three sides, so we'll use it as the hypotenuse.
Now we can apply the Pythagorean Theorem:
a^2 + b^2 = c^2
where a and b are the shorter sides and c is the hypotenuse.
Plugging in the values, we get:
46^2 + 20^2 = 48^2
2116 + 400 = 2304
2516 = 2304
Since 2516 is greater than 2304, we can see that the triangle is obtuse.
Answer:
Step-by-step explanation:
deleted
Frank is designing a 30-kilometer trail run. Water will be given to the runners every 4,000 meters and at the end. How many water stations will there be?
The number of water stations on the trail, obtained using arithmetic operations are 8 water stations.
What are arithmetic operations?Arithmetic operations includes addition subtraction, division, and multiplication.
The length of the trail = 30 - kilometers
The distance between which runners receive water = Every 4,000 meters and at the end of the trail
The number of water stations can therefore be found, using arithmetic operations as follows;
30 km = 30 × 1,000 m = 30,000 m
Number of stations = (30,000 m) ÷ 4,000 m + 1 = 8.5
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Select the correct answer from each drop-down menu. The expression _____
means the product of 5 and the difference of three times r minus 10. If r= 4, the value of the expression is ______Reset Next
The value of the expression 5(3r - 10) means the product of 5 and the difference of three times r minus 10. If r= 4, the value of the expression is 10.
Mathematical expression is mathematical statement which involves variables, numerical values, mathematical operations, and exponent.
Given the expression in words "the product of 5 and the difference of three times r minus 10"
Three times of 'r' is = 3r
Difference between three times of r and 10 = 3r - 10
The product of 5 and difference between three times of r and 10 = 5(3r - 10)
So the expression is given by, f(r) = 5(3r - 10)
Also the given value of the variable is, r = 4.
Substituting the value in the expression we get,
f(4) = 5(3*4 - 10) = 5*(12 - 10) = 5*2 = 10
Hence the value of the expression when r = 4 is 10.
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the mean number of daily cups of coffee for college student respondents in a survey is 4.76 with a standard deviation of 4.18. calculate the z score associated with four cups of coffee.
The z score associated with four cups of coffee is -0.19.
To calculate the z score, we use the formula z = (x - μ) / σ,
where x is the value we want to find the z score for, μ is the mean, and σ is the standard deviation.
In this case, x = 4, μ = 4.76, and σ = 4.18. Plugging these values into the formula, we get:
z = (4 - 4.76) / 4.18
z = -0.19
Therefore, the z score associated with four cups of coffee is -0.19.
Hence, The z-score of -0.182 represents how many standard deviations away 4 cups of coffee is from the mean number of daily cups of coffee for college student respondents in the survey.
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a survey of two communities asked residents which candidate they supported for a local election. the survey data are shown in the relative frequency table. what percentage of mountain view residents polled supported olunloyo?
According to the table, 18% of Mountain View residents polled supported Olunloyo.
In the given table, the percentage of Mountain View residents who supported Olunloyo can be found by looking at the value in the intersection of "Mountain View" row and "Olunloyo" column, which is 0.18 or 18%.
To understand how this value is calculated, keep in mind that the values in the table represent relative frequencies.
A relative frequency is the fraction or proportion of a group that belongs to a specific category or has a specific feature. In this case, the groups are Cherry Hill and Mountain View residents, and the categories are the candidates they support.
So, the percentage of Mountain View residents polled who supported Olunloyo can be calculated as:
(0.18/0.48) x 100% = 37.5%
Therefore, 18% of the residents from Mountain View supported Olunloyo, according to the given table.
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Your question seems incomplete, the probable complete question is:
A survey of two communities asked residents which candidate they supported for a local election. the survey data are shown in the relative frequency table. what percentage of mountain view residents polled supported olunloyo?
50-(4x1.99+ 5.45) =
What’s the solution
Answer:
36.59
Step-by-step explanation:
If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
O √4x20
O 4x+920
O 4x20
O√4x+9+220
G
The domain of the function f(x) is given as x ≥ -9/4
What is the domain of f(x)The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The domain of a function is all value of x along the function.
To find the domain of f(x);
Let's write the expression in the square root to be ≥ 0
4x + 9 ≥ 0
Solve for x;
4x ≥ -9
Divide both sides by the coefficient of x;
4x/4 ≥ -9/4
x ≥ -9/4
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THIS WAS DUE LAST WEEK!!!!!!!!!!!
Answer:
4 and 5 or 3 and 6
Step-by-step explanation:
Bcz the answers are alternate angles and are in the interior
Answer:
B. ∠4 and ∠∠5
Step-by-step explanation:
Alternate interior angles lie inside the coplanar lines(in this case the lines b and c ) and they are on opposites sides of the transversal(which is line a ).
The only option that has both of these are ∠4 and ∠∠5
answer this question and I will give u brainlst.
This looks like a quadratic equation!
Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)
ax^2 + bx + c = 0
And then use the Quadratic Formula to solve for x.
x = (-b ± √[b^2 - 4ac])/2a
Where a, b, and c are the coefficients of x^2, x, and 1, respectively.
Now, we just need to substitute the constants and solve for x!
-8x^2 + 10x + 15 = 0
a = -8
b = 10
c = 15
x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)
x = (-10 ± √[100 - 240])/-16
x = (-10 ± √-140)/-16
x_1 = -7/16
x_2 = -7/16
Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.
So the value of x is -7/16!
If -7/16 isn't the answer you were looking for, then try it in decimal form.
Answer: Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)
ax^2 + bx + c = 0
And then use the Quadratic Formula to solve for x.
x = (-b ± √[b^2 - 4ac])/2a
Where a, b, and c are the coefficients of x^2, x, and 1, respectively.
Now, we just need to substitute the constants and solve for x!
-8x^2 + 10x + 15 = 0
a = -8
b = 10
c = 15
x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)
x = (-10 ± √[100 - 240])/-16
x = (-10 ± √-140)/-16
x_1 = -7/16
x_2 = -7/16
Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.
So the value of x is -7/16!
If -7/16 isn't the answer you were looking for, then try it in decimal form.
wich is -0.4375
Step-by-step explanation:
a coin is flipped 8 times where each flip comes up either heads or tails. how many possible outcomes contain exactly 3 heads?
There are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.
To find the number of possible outcomes that contain exactly 3 heads when a coin is flipped 8 times, we can use the formula for combinations.
The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256 (since each flip can result in 2 outcomes: heads or tails).
To calculate the number of outcomes with exactly 3 heads, we need to choose 3 out of the 8 flips to be heads, and the remaining 5 flips to be tails. The number of ways to choose 3 items out of a set of 8 is given by the combination formula:
C(8,3) = 8! / (3! * 5!) = 56
Therefore, there are 56 possible outcomes that contain exactly 3 heads when a coin is flipped 8 times.
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I need help, both parts need to be done and described and I'm struggling!
1 No, the table does not represent an exponential function.
2 The equation y = a² represents a parabolic function with a vertex at the origin (0,0).
How to explain the function1. An exponential function is a function of the form f(x) = a^x, where a is a constant greater than 0, and x is the input variable. In an exponential function, the output values (y) are the result of the input values (x) being raised to a constant power (a). In this case, the table does not represent an exponential function since there's no constant value.
However, in the given table, the values of y are not obtained by raising any constant to the power of x. Instead, the values of y are obtained by multiplying the previous value of y by a constant factor in each row. It's not a exponential Function.
2. The equation y = a² represents a parabolic function with a vertex at the origin (0,0). The equation y = a² is a quadratic function, and all quadratic functions are parabolic. This is the effect on the graph.
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What is the distance between the points (-6,7) and (-1,1) round to the nearest whole unit
The distance between the points (-6,7) and (-1,1) is 7.81 units
We know that the distance formula between two points (x₁, y₁) and (x₂, y₂) is:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
We need to find the distance between the points (-6,7) and (-1,1)
Let (x₁, y₁) = (-6, 7)
and (x₂, y₂) = (-1, 1)
Using above distance formula, the distance between the points (-6,7) and (-1,1) would be,
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(1 - 7)² + (-1 - (-6))²]
d = √[(1 - 7)² + (-1 + 6)²]
d = √[(-6)² + (5)²]
d = √[36 + 25]
d = √(61)
d = 7.81 units
This is the required distance.
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3n + 10 = 3 ( ? ) + 10
Answer:
3n+10=3()+10
We move all terms to the left:
3n+10-(3()+10)=0
We add all the numbers together, and all the variables
3n=0
n=0/3
n=0
Step-by-step explanation:
from a population with a variance of 484, a sample of 256 items is selected. at 95% confidence, the margin of error is group of answer choices 16. 1.375. 2.695. 22.
The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.
To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695
Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.
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I need help please I am confused
Answer:
1) 44
2) 430
3) 17
Step-by-step explanation:
1) 4 × 4 = 16, and 4 + 4 = 8.
2) The units digit is 0. Since the hundreds digit is one more than the tens digit, and since the sum of the three digits is 7, the hundreds digit is 4, and the tens digit is 3.
3) 1 × 7 = 7, and 1 + 7 = 8. The units digit is 7, and the tens digit is 1.
A fair, 6-sided die is rolled 50 times. Predict how many times it will land on a number greater than 3.
The number of times dice land on a number greater than 3 is 25.
Given that, a fair, 6-sided die is rolled 50 times.
Here, the total number of outcomes = 6
Number of favorable outcomes = 3
Probability of getting a number greater than 3 = 3/6
= 1/2
Die is rolled 50 times.
So, 1/2 ×50
= 25
Therefore, the number of times dice land on a number greater than 3 is 25.
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