Answer:
if im right i think its A
Step-by-step explanation:
.
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is _____ to outliers.
Answer:
resistant
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.
a plane ticket to Barcelona costs £175
Answer:
Given:
A plane ticket to Barcelona costs £175 the price decreases by 6%
To find:
The new price of the plane ticket
Solution:
The ticket to Barcelona costs £ 175
The price decreases by 6%
⇒ 6% = 6/100 = 3/50
The new price of the plane ticket is decreased by the amount,
= £ 175 × 3/50
= £ 10.5
Therefore, the new price of the plane ticket is given by,
= £ 175 - £ 10.5
= £ 164.5
ik this question i got at school
Answer: £175
Step-by-step explanation:
You said it costs £175
Which of the following values are solutions to the inequality - 8 - 3x > 2?
I. – 2
II. – 12
III. 5
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)
if a is an n × n matrix, how are the determinants det a and det(5a) related? Remark: det(5A) = 5 det A only in the trivial case of 1 Times 1 matrices How are the determinants det A and det B related if A = a1 a2 a3
b1 b2 b3 c1 c2 c3), B = 2a1 3a2 5a3 2b1 3b2 5b3 2c1 3c2 5c3;
The determinants det a and det(5a) are related by a scalar multiplication of 5^n, where n is the dimension of the matrix a. In other words, det(5a) = (5^n) det a. This is because multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.
For the second part of the question, the determinants det A and det B are related by det B = (2*3*5) det A = 30 det A. This is because multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar, and multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.
The determinant of a matrix represents the scaling factor of the matrix's transformation on the area or volume of the space it is operating on. Scalar multiplication of a matrix by a scalar s multiplies its determinant by s^n, where n is the dimension of the matrix. This is because the determinant is a linear function of its rows (or columns), and multiplying a row (or column) by a scalar multiplies the determinant by the same scalar.
For the second part of the question, we can use the fact that the determinant of a matrix is unchanged under elementary row operations, and that multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar. We can therefore multiply the first row of A by 2, the second row by 3, and the third row by 5 to obtain B. This multiplies the determinant of A by the product of the three scalars, which is 2*3*5 = 30.
In summary, the determinants of a matrix and its scalar multiple are related by a power of the scalar equal to the dimension of the matrix. Additionally, the determinant of a matrix is multiplied by the product of the scalars used to multiply each row (or column) of the matrix when performing elementary row operations.
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help me please!!!!!!!
Answer:
C (-6,-8) → C' (6,8)
D (-2,-8) → D' (2,8)
E (-2,-4) → E' (2,4)
F (-6,-4) → F' (6,4)
Step-by-step explanation:
When you rotate a point 180° counterclockwise about the origin, the point A (x,y) becomes A' (-x,-y). So, if the points are positive, they will become negative.
Because all the points are negative, rotating them 180° counterclockwise will make them positive.
Hope that helps.
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
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Choose the slope and y-intercept that
correspond with the graph.
A rectangular place mat has a length of 3/5 meter and a width of 3/10 meter. What is the area of the place mat?
Answer:
area=length*width
3/5*3/10=9/50
9/50 meters squared
Answer:
9/50 meters
Step-by-step explanation:
area = length x width
So just do 3/5 x 3/10
Then you'll get your answer 9/50
What is the value of x?
X
Answer:
30°
Step-by-step explanation:
So let's suppose that they ask you how far does that circle go in 8 rotations. What would the answer be? (Hint - She multiplied by 3 for 3 rotations. I am now asking you about 8 rotations)
I NEED THIS ASAP PLEASE
Answer:
614400°
Step-by-step explanation:
What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
The area of the pentagon is 52.5 in²
Step-by-step explanation:
The area of a regular pentagon is given by:
area = (5*l*a)/2
Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:
area = (5*5*4.2)/2
area = (105)/2
area = 52.5 in²
The area of the pentagon is 52.5 in²
I NEED HELP WITH THIS TODAYYY ( I am dumb soo...)
Answer:
B
Step-by-step explanation:
When numbers are negative, the number that has the bigger absolute value(meaning the actual number without the negative sign) is smaller because it is farther down from 0. So, -19% is less than -1.75%.
Negative numbers are always less than positive ones, so now, we know that the other two values are greater than the negative ones.
Now, if you convert 9/11 to decimals, you will get 0.818181818181818181...
Which is 0.008181818181... greater than 0.81. So, the final answer is...
-19% < -1.75% < 0.81 < 9/11
Ascending means increasing.
As you can see, each value in the expression -19% < -1.75% < 0.81 < 9/11 is greater than the value before it, so therefore...
B is the answer!
Use the fundamental identities to find the value of the trigonometric function. Find cot θ, given that tan θ = √7/3 and θ is in quadrant III. A) -√7/3 B) 5/4
C) -3/2 D) 3√7 / 2
Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given value is a decimal, round your answer to three decimal places. csc θ, given that sin θ = √7/6
The value of cot θ is -3/2, which corresponds to option C) in the given choices. To find the value of cot θ, we can use the given information that tan θ = √7/3 and θ is in quadrant III. By using the appropriate trigonometric identity, we can determine that cot θ = -3/√7, which is equivalent to option C) -3/2.
We are given that tan θ = √7/3 and θ is in quadrant III. In quadrant III, both the sine and cosine functions are negative. We can use the fundamental identity for tangent:
tan θ = sin θ / cos θ
Since sin θ is positive (√7/3) and cos θ is negative in quadrant III, we can write:
√7/3 = sin θ / (-cos θ)
To find cot θ, which is the reciprocal of tan θ, we can invert both sides of the equation:
1 / (√7/3) = -cos θ / sin θ
Simplifying the left side gives:
3 / √7 = -cos θ / sin θ
Next, we can use the reciprocal identity for sine and cosine:
sin θ = 1 / csc θ
cos θ = 1 / sec θ
Substituting these identities into the equation, we get:
3 / √7 = -1 / (cos θ / sin θ)
Multiplying both sides by sin θ gives:
(3sin θ) / √7 = -1 / cos θ
Since sin θ = √7/6 (given), we can substitute this value:
(3√7/6) / √7 = -1 / cos θ
Simplifying the left side gives:
(3/2) / √7 = -1 / cos θ
Multiplying both sides by √7 gives:
(3/2√7) = -√7 / cos θ
We can see that the denominator of the left side is 2√7, which matches the denominator of the cot θ. So we have:
cot θ = -√7 / 2√7
Simplifying the expression, we get:
cot θ = -1 / 2
Therefore, the value of cot θ is -3/2, which corresponds to option C) in the given choices.
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A digit passcode was created randomly using the digits 0-9, with no repeating digits. Find each probability.
1. The passcode begins with 8
FAST PLS!
The probability that the passcode begins with 8 is 0.1, or 10%.
If the passcode begins with 8, there are 9 remaining digits available to choose from for the second digit, since we cannot repeat the digit used in the first position. Then there are 8 remaining digits available for the third digit, 7 remaining digits for the fourth digit, 6 remaining digits for the fifth digit, 5 remaining digits for the sixth digit, 4 remaining digits for the seventh digit, 3 remaining digits for the eighth digit, and 2 remaining digits for the ninth digit.
Therefore, the probability that the passcode begins with 8 is:
P(passcode begins with 8) = 1/10 * 9/9 * 8/8 * 7/7 * 6/6 * 5/5 * 4/4 * 3/3 * 2/2
= 1/10
= 0.1
So the probability that the passcode begins with 8 is 0.1, or 10%.
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I am visiting my friend Janette in Bristol. My journey takes a total time of 1 hour 26 minutes. I travel by train for 34 minutes, then walk at a rate of 1/2 mile per 10 minutes. How many miles do I walk for?
Answer:
2.6 miles
Step-by-step explanation:
1 hour 26 minutes= 86 minutes
86-34=52 total walk time
52 minutes= 5*1/2 miles
=2.5 miles walked
and 2 minutes.
so we need to find 1/5 of 1/2
(1/2)/5=0.1 mile
2.5+0.1=2.6 miles
libby spent 2.50 on 10 picies of gum at this rate how much will 22 piecies of gum cost
Answer:
$5.50
Step-by-step explanation:
2.50divided by 10= .25
.25 times 22= 5.50
PLEASE HELP!!!!!!! MATH 8th grade
Answer:
Lous Rate of change is 218 words per minute
and Ricardo can read 150 words per minute
meaning Louis can read faster than Ricardo
Step-by-step explanation:
Answer:
A - 218 B-150 C-Louis
Step-by-step explanation:
for A - 436 /2 = 218 which means one equals 218
for B - 300/2 = 150 and 900/6 = 150
for C - 218 is bigger than 150
brainlest ?
define the sequence recursively using function notation.
2.5, 7.5, 22.5, 67.5, 202.5,...
Answer: Aₙ = Aₙ₋₁*3; where A₀ = 2.5
Step-by-step explanation:
Let's try with some known sequences:
Arithmetic.
The difference between consecutive terms is constant:
7.5 - 2.5 = 5
22.5 - 7.5 = 15
We can already see that it is not an arithmetic sequence.
Geometric:
The ratio between consecutive terms is constant.
7.5/2.5 = 3
22.5/7.5 = 3
67.5/22.5 = 3
...
We can already see that this is a geometric sequence.
Then we can write the n-th term as:
Aₙ = Aₙ₋₁*3, where A₀ = 2.5
Can someone help me solve this alpine with an explanation thank u (will mark as brainlist if correct&explanation)
Answer:
(d). \(\frac{12}{5}\)
Step-by-step explanation:
Answer: \(\frac{12}{5}\)
Step-by-step explanation:
Sorry this took so long.. i needed to use paint
The foot of an extenion ladder i 15 feet from the wall. The ladder i 7 feet le than three time longer than the height that it reache on the wall. What i the length of the ladder?
The length of the ladder is 22 feet.
Let x = the height the ladder reaches on the wall.
Then 3x = the length of the ladder.
Substituting 15 for the foot of the ladder from the wall, we have:
15 + 3x = the length of the ladder
7 = 3x
x = 7/3
Substituting 7/3 for x in the equation 15 + 3x = the length of the ladder we have:
15 + 3(7/3) = the length of the ladder
15 + 7 = the length of the ladder
22 = the length of the ladder
The length of the ladder can be determined by first figuring out how high the ladder reaches on the wall. Let x equal the height the ladder reaches on the wall. Then, the length of the ladder, 3x, can be determined. Since the foot of the ladder is 15 feet from the wall, the equation 15 + 3x = the length of the ladder can be written. In this equation, 7 is the known value for 3x, since the ladder is 7 feet less than three times longer than the height it reaches on the wall. Therefore, x = 7/3. Substituting 7/3 for x in the equation 15 + 3x = the length of the ladder, the equation 15 + 3(7/3) = the length of the ladder can be written. Simplifying this equation, 15 + 7 = the length of the ladder can be written, which means the length of the ladder is 22 feet.
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A line has the equation y - 4 = 3x + 11 Work out the gradient and the y-intercept of the line.
Answer: Gradient is 3 and y-intercept is 15
Step-by-step explanation:
by rearranging the equation so y is on 1 side we get:
y = 3x + 15
the gradient is the number before the x (coefficient)
the y intercept is the number that is not multiplied by the x, in this case 15
because of what we learned in parts (d) and (e), we need to calculate the distances traveled during the time intervals [0, 2], [2, 6], [6, 8] separately. the distance traveled in the first 2 seconds is
The distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.
To calculate the distance traveled during the time interval [0, 2] seconds, we need to integrate the velocity function over that interval. From part (d), we have the velocity function: v(t) = -16t + 40. To find the distance traveled, we integrate the absolute value of the velocity function over the interval [0, 2]: Distance = ∫[0, 2] |v(t)| dt. Using the given velocity function, we have: Distance = ∫[0, 2] |-16t + 40| dt.
To evaluate this integral, we need to split it into two parts based on the different intervals of the absolute value function: Distance = ∫[0, 2] (16t - 40) dt for 0 ≤ t ≤ 2. Integrating this expression, we get: Distance = [8t^2 - 40t] evaluated from 0 to 2. Plugging in the limits of integration, we have: Distance = [8(2)^2 - 40(2)] - [8(0)^2 - 40(0)]. Simplifying, we find: Distance = [32 - 80] - [0 - 0];Distance = -48. Therefore, the distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.
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the average number of dropout for a school dsitrict has been 305 per year with a standard eveiation of 50. what is the probility that the number of dropouts next year will be: g
The probability that the number of dropouts next year will be exactly 305 is virtually zero, the probability of less than 305 is 68%, greater than 305 is 32%, and within one standard deviation of 305 is 95%.
Probability of dropouts next year being exactly 305: 0
Probability of dropouts next year being less than 305: 0.68
Probability of dropouts next year being greater than 305: 0.32
Probability of dropouts next year being within one standard deviation of 305: 0.95
The probability that the number of dropouts next year will be exactly 305 is virtually zero. This is because the standard deviation of 50 suggests that the number of dropouts is likely to be different from 305.
The probability that the number of dropouts next year will be less than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be less than 305 is approximately 0.68, or 68%.The probability that the number of dropouts next year will be greater than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be greater than 305 is approximately 0.32, or 32%.The probability that the number of dropouts next year will be within one standard deviation of 305 (i.e. between 255 and 355) can be calculated using the normal distribution. The probability that the number of dropouts will be within one standard deviation of 305 is approximately 0.95, or 95%.
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root 3 + root 27 - 12 upon root 3 + 6 upon root 3
Answer:
2√3
Step-by-step explanation:
root 27
= √27
= 3√3
12 upon root 3
= 12 / √3
= ( 12 / √3 ) x ( √3 / √3 )
= ( 12 x √3 ) / ( √3 x √3 )
= 12√3 / 3
= 4√3
6 upon √3
= 6 / √3
= ( 6 / √3 ) x ( √3 / √3 )
= ( 6 x √3 ) / ( √3 x √3 )
= 6√3 / 3
= 2√3
root 3 = √3
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
= √3 + 3√3 - 4√3 + 2√3
= 4√3 - 4√3 + 2√3
= 2√3
Answer:
2√3
Step-by-step explanation:
Our equation :
\(\sqrt{3} + \sqrt{27} - \frac{12}{\sqrt{3} } + \frac{6}{\sqrt{3} }\)Simplifying
\(\sqrt{3} + \sqrt{9 *3} - \frac{12\sqrt{3} }{\sqrt{3}*\sqrt{3} } + \frac{6\sqrt{3} }{\sqrt{3}*\sqrt{3} }\)\(\sqrt{3}+3\sqrt{3} - \frac{12\sqrt{3} }{3}+\frac{6\sqrt{3} }{3}\)\(4\sqrt{3}-4\sqrt{3}+2\sqrt{3}\)2√3four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
90 points where at least two of the circles intersect.
Define circle.A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
Given,
Four distinct circles are drawn in a plane.
Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.
As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.
The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.
90 points where at least two of the circles intersect.
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4. Calculate the values for the ASN curves for the single sampling plan \( n=80, c=3 \) and the equally effective double sampling plan \( n_{1}=50, c_{1}=1, r_{1}=4, n_{2}=50, c_{2}=4 \), and \( r_{2}
Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48
The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:
Single Sampling Plan (n=80, c=3):
ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79
Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):
ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48
The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.
For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.
For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.
These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.
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What is the point-slope form
6 blue chips 13 pink chips 7 white chips Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? PLEASE HELLPP
Answer:
9/169Step-by-step explanation:
Total number of chips
6 + 13 + 7 = 26Probability of a blue chip
P(blue) = blue / total = 6 / 26 = 3/13The subsequent blue has same probability as the chip is replaced.
Probability of two blue chips is
P(blue, blue) = 3/13*3/13 = 9/169Answer:
\(\sf \dfrac{9}{169}\)
Step-by-step explanation:
The bag has:
6 blue chips13 pink chips7 white chips⇒ Total number of chips = 6 + 13 + 7 = 26
Probability Formula
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
Probability of choosing a blue chip from the first draw:
\(\implies \sf P(Blue)=\dfrac{6}{26}\)
As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.
Therefore, the probability of taking out a blue chip in both draws is:
\(\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}\)
tufte discussed the concept of residuals. what is the residual in the context he presented?
The disparities between the actual and anticipated values in a regression model were referred to as residuals in the context Tufte provided.
American statistician Edward Rolf Tufte is a retired professor of political science, statistics, and computer science at Yale University.
Tufte talked about the idea of residuals. The discrepancies between the actual value and the projected value are known as residuals in statistics. Depending on whether the observed value is higher or lower than the projected value, they might be either positive or negative.
A model's residuals offer a gauge of how well it matches the data. According to him, residual plots are a great tool for seeing issues with the model fit and spotting outliers that might be skewing the results.
In contrast to relying exclusively on statistical tests, Tufte emphasised the significance of visually evaluating residuals since graphs can highlight patterns and correlations that may be missed in the numbers.
Overall, residuals are a key idea in statistics since they may be used to evaluate a model's reliability and point out its flaws.
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