Which of the following is true if the data point 11. 1 is corrected to 11. 7? The mean increases. The median increases. The data set has two modes. The range increases.
Answers
If the data point 11.1 is corrected to 11.7, the mean increases, but the median, mode, and range may or may not be affected.
The mean is calculated by taking the sum of all data points and dividing it by the number of data points. Since the corrected data point is larger than the original, it will contribute to an increase in the sum of the data points, resulting in a higher mean value.
The median, on the other hand, is the middle value of a data set when arranged in ascending or descending order. If 11.1 was originally the median, correcting it to 11.7 may or may not affect the median, depending on the values of other data points.
Similarly, the mode represents the most frequently occurring value(s) in a data set. If 11.1 was one of the modes, correcting it to 11.7 may change the modes if there were other values with the same frequency.
The range is the difference between the largest and smallest values in a data set. If 11.1 was the smallest value and it is corrected to 11.7, the range will increase since the new value is larger than the original minimum.
Therefore, among the given options, the statement "The mean increases" is true if the data point 11.1 is corrected to 11.7. However, the other statements about the median, mode, and range may or may not be true without additional information about the data set.
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Related Questions
write and slove an equation for this situation: you bought 5 cakes each one cost the same . you spent a total of 65$ how much did each cake cost
Answers
Answer:
13#
Step-by-step explanation:
5 cakes equal to 65$
1 cake equals ?
1/5×65
13$
Answer:
Each cake is $13
Step-by-step explanation:
If each cake costs the same and you bought 5, spending a total of $65, you would simply divide the $ you spent by the amt. of cakes to find how much each cake is. Let's assume x is how much each cake is, and 5 is the number of cakes you buy, so 5 (The amount of cakes) multiplied by x (how much each cake costs) must give you 65.
Equation:
5x=65
x=65/5
x=13
Answer: Each cake is $13.
Whats the Simplify form of (x^2/y)3
Answers
Answer:
\(\frac{3x^2}{y}\)
50 + 30 written as a product of two factors
Answers
Answer:
10(5+3) is the correct answer
The surface area of a sphere is 200. 96 square centimeters. What is the approximate volume of the sphere? Use 3. 14 for pi
Answers
Answer:
200.96 (pi)= 631.33
200.96. (3.14)=631.01
Step-by-step explanation:
when you use (pi) the answer is 631.33
but if you use (3.14) the answer is 631.01
that's mean than the answer change
(100 points) Match each ordered pair on the left with the functions on the right
Answers
Answer:
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4) ⇒ y = 1/5x + 7
Step-by-step explanation:
Let's substitute each pair in the equations to find the right one :
(6, 1)
⇒ 1 = 2/4 (6) - 2
⇒ 1 = 3 - 2
⇒ 1 = 1
⇒ Equation matched √
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8)
⇒ -0.8 = 1/5 (-8) + 7
⇒ -0.8 = -8/5 + 7
⇒ -0.8 = -1.6 + 7
⇒ -0.8 = 5.4
⇒ Incorrect equation ×
⇒ -0.8 = 3/5 (-8) + 4
⇒ -0.8 = -24/5 + 4
⇒ -0.8 = -4.8 + 4
⇒ -0.8 = -0.8
⇒ Equation matched √
⇒ (-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7)
⇒ 0.7 = 3/10 (9) - 2
⇒ 0.7 = 27/10 - 2
⇒ 0.7 = 2.7 - 2
⇒ 0.7 = 0.7
⇒ Equation matched √
⇒ (9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4)
⇒ 7.4 = 1/5 (2) + 7
⇒ 7.4 = 2/5 + 7
⇒ 7.4 = 0.4 + 7
⇒ 7.4 = 7.4
⇒ Equation matched √
⇒ (2, 7.4) ⇒ y = 1/5x + 7
Find x if they are similar
Answers
Answer:
28
Step-by-step explanation:
Answer:
x = 28
Step-by-step explanation:
You can find these out if you know what's multiplied by one side to get the bigger shape so 12 ÷ 3 = 4 So 4 is what we are multiplying by so...
4 x 7 = 28 Hope this helps!
in the diagram shown, which angle pairs form complementary angle
Answers
Answer: angle DBE & angle ABD and angle EBF & angle FBC
Step-by-step explanation:
complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.
MATHHHHHHHHHHHHHHHHHHHHHHHHHH
Answers
Answer:
x intercept = 3
y intercept = 2
Step-by-step explanation:
x intercept is 3
y intercept is 2
Let X be normally distributed with mean μ=10 and standard deviation σ=6.
find p(4 ≤ x ≤ 6 ). round your answer to 1 decimal place.
Answers
The final answer rounded to 1 decimal place is 0.1.
To find the probability P(4 ≤ X ≤ 6) for a normally distributed random variable X with mean μ = 10 and standard deviation σ = 6, you'll need to use the Z-score formula to standardize the values and then look up the probabilities in a standard normal table or use a calculator with a built-in normal distribution function.
The Z-score formula is: Z = (X - μ) / σ
For the lower limit, X = 4:
Z1 = (4 - 10) / 6 = -1
For the upper limit, X = 6:
Z2 = (6 - 10) / 6 = -0.67 (rounded to 2 decimal places)
Now, use a standard normal table or calculator to find the probabilities associated with these Z-scores.
P(Z ≤ -1) = 0.1587
P(Z ≤ -0.67) = 0.2514
To find P(4 ≤ X ≤ 6), subtract the lower probability from the upper probability:
P(4 ≤ X ≤ 6) = P(Z ≤ -0.67) - P(Z ≤ -1) = 0.2514 - 0.1587 = 0.0927
Therefore, rounded to one decimal place, the probability is 0.1.
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Alan has a guessing game on his computer.
He estimates that the probability of winning each game is 0.35
Alan decides to play 20 of these games.
How many of these games should he expect to win?
Answers
Answer:7
Step-by-step explanation:
100/20 = 5
35/5 = 7
find the number b such that the line y = b divides the region bounded by the graphs of y = 9x2 and y = 16 into two regions with equal area. (round your answer to two decimal places.) b =
Answers
The value of b is 1, rounded to two decimal places. we can integrate from x = 0 to x = 4/3 and multiply the result by 2 to get the total area of the region.
To find the number b such that the line y = b divides the region bounded by the graphs of y = 9x^2 and y = 16 into two regions with equal area, we first need to find the limits of integration.
Setting the two equations equal to each other, we get 9x^2 = 16, or x = ±4/3. Since the two equations intersect at x = 0, we can integrate from x = 0 to x = 4/3 and multiply the result by 2 to get the total area of the region.
The area of the region between y = 9x^2 and y = b from x = 0 to x = c is given by the integral ∫[0,c] (b-9x^2) dx. To find the value of b that divides the region into two equal parts,
we need to solve the equation ∫[0,b] (b-9x^2) dx = 1/2 ∫[0,4/3] (16-9x^2) dx for b. After integrating and simplifying, we get the equation b^2 - 4b^3 + 9/4 = 0. Solving for b using the quadratic formula,
we get b = 3/4 or b = 1. Setting up a test integral to check the areas of the two regions, we find that b = 1 gives the desired result, so the line y = 1 divides the region into two regions with equal area. Therefore, the value of b is 1, rounded to two decimal places.
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Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!
In a linear equation of the form y = mx + b, as b increases, what happens to the line?
Which of these choices is the correct answer?
The line moves up.
The line gets steeper.
The line moves down.
The line moves to the right
None of these describes how the line changes.
Answers
Answer: A) The line moves up
The b determines the y intercept
For example, y = 2x+5 has a y intercept of 5
Another example, y = 2x+6 has y intercept 6
The value of b has gone up by 1, so the graph shifts up by 1.
See the diagram below.
The slope stays the same, so both lines are parallel.
About 70% of Australia's population are of British descent. If Australia's population is 25
million how many people are of British descent?
Answers
Answer:
17,500,000 people
Step-by-step explanation:
70% can be rewritten as 0.7 time 25 million
0.7*25,000,000 = 17,500,000
How many time zones is that place ( 55 ∘ 45 ′ North / 37 ∘ 38 ′ East ) from College Station? 29. When our class starts at 1245pm, what time would it be there? 5 hours ahead (320pm) 7 hours behind (320am) 9 hours ahead (720pm) 11 hours behind ( 1220am )
Answers
When our class starts at 12:45 PM in College Station, it would be approximately 5 hours ahead, which corresponds to 3:20 PM in that location.
The concept of time zones is based on the division of the Earth into 24 equal longitudinal zones, each spanning 15 degrees of longitude. The place mentioned at 37°38' East is located to the east of College Station, which is at a lower longitude. As one moves eastward, time progresses ahead due to the rotation of the Earth.
Since each time zone represents a 15-degree difference in longitude, we can calculate the time difference by dividing the difference in longitudes between the two locations. In this case, the difference is approximately 38° (37°38' - 96°20').
By dividing 38° by 15°, we get approximately 2.53, indicating that the place is approximately 2.53 time zones ahead of College Station. Considering that time zones are typically rounded to the nearest whole number, the place is approximately 3 time zones ahead. Each time zone corresponds to approximately 1 hour, resulting in a time difference of approximately 3 hours ahead of College Station.
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What is the constant of proportionality in this
equation?
y= 20x
Answers
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
Two similar solids have base areas of 47 cm² and 199 cm², as shown below.
The volume of the smaller solid is 350 cm³.
COMPLETION
50%
Calculate the volume of the larger solid correct to the nearest integer.
(4 marks)
Answers
Check the picture below.
so hmmm let's use the ratio for the areas to get the ratio of the sides, and from there, we'll get to the ratio of the volumes.
\(\stackrel{ \textit{Areas' ratio} }{\sqrt{\cfrac{s^2}{s^2}}}=\cfrac{s}{s}\implies \sqrt{\cfrac{47}{199}}=\cfrac{s}{s}\implies \cfrac{\sqrt{47}}{\sqrt{199}}=\cfrac{s}{s} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{ \textit{Volumes' ratio} }{\sqrt[3]{\cfrac{s^3}{s^3}}}=\cfrac{s}{s}\implies \stackrel{\textit{substituting from above}}{\sqrt[3]{\cfrac{s^3}{s^3}}=\cfrac{\sqrt{47}}{\sqrt{199}}}\implies \sqrt[3]{\cfrac{350}{V}}=\cfrac{\sqrt{47}}{\sqrt{199}} \\\\\\ \cfrac{350}{V}=\left( \cfrac{\sqrt{47}}{\sqrt{199}} \right)^3\implies \cfrac{350}{V}=\cfrac{\sqrt{47^3}}{\sqrt{199^3}}\implies (350)(\sqrt{199^3})=V\sqrt{47^3} \\\\\\ \cfrac{(350)(\sqrt{199^3})}{\sqrt{47^3}}=V\implies \boxed{3049\approx V}\)
Use Excel to solve this: You want to buy a car for $50,000 and you can put $10,000 as a down payment and borrow the remaining $40,000. The bank will make a bank loan at a 9% per year over 3 years and monthly payments. What is the monthly payment?
Answers
In this case, the monthly payment for the car loan would be approximately $1,299.13.
To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.
Here's how to do it:
1. Open Excel and create a new spreadsheet.
2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).
3. In cell A2, enter the annual interest rate: 9%.
4. In cell A3, enter the loan duration in years: 3.
5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).
6. The result in cell A4 will be the monthly payment.
So, in this case, the monthly payment for the car loan would be approximately $1,299.13.
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Help someone I’ll give brainlist
Answers
Answer:
D
Step-by-step explanation:
Answer: I think B
Step-by-step explanation: Hope it helped! :)
a test contains 100 true/false questions. how many different ways can a student answer the questions on the test, if answers may be left blank?
Answers
There are 3^100 possible combinations of answers for a student taking a test with 100 true/false questions where answers may be left blank.
To answer this question, we need to consider the fact that each question on the test has two possible answers - true or false. Therefore, for each of the 100 questions, there are 2 possible ways that a student can answer the question.
If a student answers every single question on the test, there are a total of 2^100 possible combinations of answers. This is because for each question, there are 2 possibilities, and there are 100 questions in total.
However, the question states that answers may be left blank. This means that for each question, there are now 3 possibilities - true, false, or blank. Therefore, the total number of possible combinations of answers is now 3^100.
To put this into perspective, 3^100 is an extremely large number - it is approximately 5.15 x 10^47. This means that even if every single person on Earth were to take this test and answer every question in a unique way, it would still be highly unlikely that any two people would have the same combination of answers.
In conclusion, there are 3^100 possible combinations of answers for a student taking a test with 100 true/false questions where answers may be left blank.
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If snow has been falling at the rate 3 degrees Celsius per hour, what will the temperature be in 2 hours?
Answers
Answer:
-6°
Step-by-step explanation:
x(original temperature)
t (time)
r (rate)
original x-(r×t)
Q) x-(2×-3)
=x-6
In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 my = 150 You decide
to run a test for which the alternative hypothesis is Hj: p1 > p2- Find the appropriate test statistic for the
test. Enter the test statistic - round to 4 decimal places. Z =
Answers
The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:
SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
In this case, we have the following values:
X1 = 24 (number of successes in sample 1)
n1 = 200 (sample size 1)
X2 = 17 (number of successes in sample 2)
n2 = 150 (sample size 2)
To calculate the sample proportions, we divide the number of successes by the respective sample sizes:
p1 = X1 / n1 = 24 / 200 = 0.12
p2 = X2 / n2 = 17 / 150 = 0.1133
Now, we can plug these values into the formula to calculate the standard error:
SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]
SE ≈ 0.0319
Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:
Z = (p1 - p2) / SE
Z = (0.12 - 0.1133) / 0.0319
Z ≈ 0.2103
Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).
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Anastasia put a bowl under a leaking pipe in her kitchen. After 2 1/4 hours Anastasia had collected 1/2 cup of watwe. What is the rate, in cups per hour, at which the water was leaking from the pipe?
Answers
A crane lifts a 425 kg steel beam vertically a distance of 66 m. How much work does the crane do on the beam if the beam accelerates upward at 1. 8 m/s2? Neglect frictional forces. ?
Answers
The work done on lifting the steel beam by crane upwards is 3.3×10⁵ joules, based on given data.
Since the crane is lifting the steel beam upwards, the total force will be sum of mass and force due to acceleration due to gravity.
So, the formula will be-
W = F × d
W = m(g + a) × d
W = 425 (10 + 1.8) × 66
Performing addition in the parenthesis first
W = 425 × 11.8 × 66
Multiplying all the digits on Right Hand Side of the equation
W = 3,30,990 Joules
Hence, the work done is 3.3 × 10⁵ Joules
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given a population standard deviation of 6.8, what sample size is required to be 90onfident that the estimated mean has an error less than 0.02?
Answers
The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:
n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).
Substituting the given values in the formula, we get:
n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96
Rounding up to the nearest whole number, we get the required sample size to be 1911.
Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.
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Figure B is a scaled copy of Figure A.
Answers
Answer:
1/3
Step-by-step explanation:
On left side its 6:2 so 6/2 is 3
the scale factor is 1/3 because figure is a reduction
hope it helps ;)
Answer:
1/3
Step-by-step explanation:
The side that's highest is 9 units, the the image its 3. 3/9= 1/3
A woman bought a bag of rice for 5,700 naira and in three weeks later,she could only buy 3/4 of a bag for 5,700 find the percentage increase
Answers
3.1x^3-2.4x² +6x – 3 = 4x² + 3x +2
solving problem
Answers
Answer:
The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Step-by-step explanation:
The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2
Which gives;
3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0
3.1·x³ - 6.4·x²+ 3·x - 5 = 0
Factorizing online, we get;
3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0
Therefore, the possible solutions are;
x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0
The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;
x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.
Answers
This is #16. Now #17 says “For question #16, find a value of x that makes lines u and v intersect.” Help me.
Answers
Answer:
x=8
Step-by-step explanation:
When you solved for x in #16, you were looking for the value of x to see what x would make both angles congruent since they were alternate interior angles. The same solution x=8, is the solution to #17 when the two lines will intersect.
If you graph both lines they will intersect at x=8.
Write an equation of the line that has a slope of -3 and passes through the point (5, -1) 5
Answers
The equation of the line that has a slope of -3 and passes through the point (5, -1) is 3x + y = 14.
What is slope ?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
We know the slope point form,
y - y1 = m( x - x1 )
Where x1 and y1 atre the coordinates of the points and m is the slope.
Putting thew values from the question:
y - (-1) = -3 ( x - 5)
=> y + 1 = -3x + 15
=> 3x + y = 14
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