Answer:
y = 2x^2 - 12x + 25Step-by-step explanation:
Given function
f(x)=2(x-3)^2+7Converting to standard form
y = 2(x - 3)^2 + 7y = 2(x^2 - 6x + 9) + 7y = 2x^2 - 12x + 18 + 7y = 2x^2 - 12x + 25Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
Calculate the median of the dataset 5, 10, 12, 4, 6, 11, 13, 5
Answer: 8
Step-by-step explanation:
Median is the middle number of the set of numbers (layed out smallest to biggest)
4, 5, 5, 6, 10, 11, 12, 15
There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8
Step-by-step explanation:
Median = 8
Have a good day..
Inequalities (Please help!)
Answer:
x < x and -3x < -3x
Step-by-step explanation:
x cannot be less than itself so there would be no solution.
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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Select the correct answer from each drop-down menu.
Nirja has 24 marbles. The number of marbles Nirja has is 6 more than the number of marbles Tim has.
If Tim has x marbles, the equation that represents the situation is
The value of x that makes the equation true is
Reset
Next
Answer:
24 = x+6
x = 18
Step-by-step explanation:
N = 24
T = x
N = x+6
24 = x+6
Subtract 6 from each side
24-6 = x+6-6
18 = x
Time has 6 marbles
Nirja has 6 more than Tim,
So you can subtract 6 from 24 to find x:
24-6 = x
Or you can add 6 to x to equal 24:
x + 6 = 24
You don't list the choices but it should be one of these.
Solve:
24 - 6 = x
x = 18
The word and in probability implies that we use the ________ rule.
Answer:
Addition Rule
The word or in probability implies that we use the Addition Rule.
The word "and" in probability implies that we use the "Multiplication Rule".
The Multiplication Rule is used when calculating the probability of two or more independent events occurring simultaneously.
It states that the probability of two or more independent events occurring together is equal to the product of their individual probabilities.
In other words, if event A and event B are independent, then the probability of both events A and B happening is given by:
P(A and B) = P(A) x P(B)
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Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to
perform the computation How reasonable is your estimate when compared to the actual answer?
2815-15.458
An estimate of the difference is (Type a whole number
Answer:
Step-by-step explanation:
2915 can stay as it is; 15.458 should be rounded down to 15. Then we have
2915-15, or 2900 (which is a very reasonable estimate).
Solve.
8d + 6 = 22
d =
Suppose you are going to roll a fair; six-sided die J number of times and record the proportion of times that an even number (2. 4.or 6) is showing: Your first experiment used 60 rolls. but in your second experiment you used 240 rolls. For the second experiment, how is the center and spread of the sampling distribution different from the first experiment? Bolh the center and !he sprcad wIll decrease: Thc cenler will remain lhc sainc: bul thc sprcad will decrease Bolh the cenler and the spread wlll renain thic: salne The cenler will remain the >alne; bul tlic sprcad wvill lncicase:
From the sampling distribution, the correct answer is: Both the center will remain the same, but the spread will decrease.
How is the center and spread of the sampling distribution different from the first experimentThe center of the sampling distribution will remain the same, which is the expected proportion of even numbers showing on a single roll of the die, which is 1/2 or 0.5. This is because the probability of getting an even number on a single roll of the die does not change with the number of rolls in the experiment.
However, the spread of the sampling distribution will decrease as the number of rolls increases. This is because the larger the sample size, the more precise our estimate of the proportion of even numbers showing on each roll of the die will be. With more rolls, we will have a better idea of the true proportion of even numbers that the die produces.
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What is a parallel to Y = 8x + 4
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and (b ) (b) is the y-intercept. Using the slope-intercept form, the slope is 8 8 . All lines that are parallel to y=8x−4 y = 8 x - 4 have the same slope of 8 .
Step-by-step explanation:
hehe im a smartie
To solve this, we will make use of the slope - intercept form of an equation of a line. The general form of the equation is; y = mx + c
where;
m is the slope
c is the intercept on the y-axis.
The parallel to y = 8x + 4 must have a slope of m = 8
We want to find a line parallel to y = 8x + 4
Now, according to the equation of a line, any two lines with equal slope are usually parallel to each other.
This means that for a line to be parallel to y = 8x + 4, it must have a slope of m = 8
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Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
The skeletal system is not responsible for which of the following?
Answer now
D. moving red blood cells around the body
Divide 64.5 by 0.015 leaving your answer in a standard form
Answer:
4300
Step-by-step explanation:
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4
The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
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estimate the weight of 6 apples explain your thinking
How can she find the coordinates of the new point without graphing the point?
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Question 1 – Probability [Total: 13 marks]
A prominent plastic recycling centre in Adelaide have made some recent frustrating observations
regarding the behaviour associated with disposal of plastic bottles. Some people are failing to remove
lids, caps and rings from plastic bottles prior to disposal, although this is clearly stated as a requirement
prior to disposal on their website. So they conducted a survey, noting the bottle’s “resin identification
code” and whether the lid/cap/ring had been correctly removed. The 2 plastic bottle types recorded
were: CODE 1 Polyethylene Terephthalate (PET) and CODE 2 High-Density Polyethylene (HDPE). Of 2036
PET and HDPE bottles, 936 of these bottles had their lid/cap/ring correctly removed prior to disposal,
with 70% of the 890 HDPE bottles having their lid/cap/ring correctly removed.
What is the probability of the following events?
Show all working. No marks awarded for the correct answer without working out.
Hint: A cross tabulation or contingency table can help.
I. What is the probability that a randomly selected bottle has a lid/cap/ring still attached?
[2 marks]
II. What is the probability that a randomly selected bottle is a PET bottle or has the lid/cap/ring still
attached?
[2 marks]
III. What is the probability that a randomly selected bottle is a HDPE bottle and has the lid/cap/ring
removed?
[2 marks]
IV. What is the probability that a randomly selected bottle is a PET bottle given that the lid/cap/ring
is removed?
[2 marks]
V. Are the events “lid/cap/ring removed” and “HDPE plastic bottle type” independent?
Demonstrate this appropriately. Then provide a brief description of what independence refers to
in this specific case.
[5 marks]
Marking Criteria for Question 1:
You need to demonstrate understanding of the probability concepts involved in each part of this
question and how to make appropriate interpretations of each numerical answer. Thus, for full marks
you need to show all workings (including the equation used with correct notation) AND provide a very
brief relevant written statement interpreting the answer to the question (so place the numerical answer
into a correct full statement showing you understand what it means).
9514 1404 393
Answer:
I. 0.540; II. 0.694; III. 0.306; IV. 0.334; V. 0.177 ≠ 0.306 (not independent)
Step-by-step explanation:
I. P(ring) = 1100/2036 = 275/509 ≈ 0.540
The probability that a randomly selected bottle will have its ring attached is the ratio of such bottles to the total number of bottles: 1100/2036 ≈ 0.540.
__
II. P(PET∨ring) = 1 -P(HDPE∧no ring) = 1 -623/2036 = 1413/2036 ≈ 0.694
The probability that a random bottle is PET or has the ring attached is the ratio of such bottles to the total: 1413/2036 ≈ 0.694.
__
III. P(HDPE∧no ring) = 623/2036 ≈ 0.306
The probability that a random bottle is HDPE and has the ring removed is the ratio of such bottles to the total number of bottles: 623/2036 ≈ 0.306.
__
IV. P(PET | no ring) = P(PET∧no ring)/P(no ring) = 313/936 ≈ 0.334
The probability that a random bottle is PET given that it has no ring is the ratio of ringless PET bottles to the total number of ringless bottles: 313/936 ≈ 0.334.
__
V. P(ringless) = 936/2036 ≈ 0.460
P(HDPE) = 890/2036 ≈ 0.386
P(ringless)×P(HDPE) = 0.460×0.386 ≈ 0.177 ≠ P(HDPE∧no ring) = 0.306
If events A and B are independent, the probability of the joint event A∧B is the product of the probabilities of the individual events. Here the probability of an HDPE bottle having no ring is about 0.306, while the product of probabilities that a bottle is HDPE and that a bottle has no ring is about 0.177. "Ring removed" and "HDPE bottle type" are not independent.
_____
Attached is the recommended cross tabulation table. The numbers in blue are given in the problem statement (623 = 70%×890). The numbers in black are the numbers required in order to achieve the given totals.
Please help with 5 :( I’ll mark u!
Answer:
m is slope, b is y=interecept and x and y is the coordinates
Step-by-step explanation:
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
What’s the 6th term of 23,92,368
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
What is the ordered pair that represents the point (-8, 7) after a reflection over the y-axis?
A. (-8, -7)
B. (8,7)
C. (-7,8)
(7,-8) D.
Question 1 and 2 plz explain
Answer:
1.D
2.B
Step-by-step explanation:
1. The x intercept is the value of x when y is zero. We know that the x intercept is 0.5 so we must find a value of k that will make our rational function equal zero when x=0.5
\(y = \frac{k}{x + 1} - 2\)
Substitute x=0.5 and y=0.
\(0 = \frac{k}{0.5 + 1} - 2\)
\(0= \frac{k}{1.5} - 2\)
\(2 = \frac{k}{1.5} \)
\(3 = k\)
D is the Answer.
2. We need to consider the function
\( \frac{2x}{1 - {x}^{2} } \)
Since the numerator is a linear term, it will have one zero to the equation using fundamental Theorem of Algebra so C is wrong.
This is a rational function because we are dividing two polynomials by each other and q(x) or the denominator isnt zero. So D is wrong.
The denominator is a quadratic term so it will have two vertical asymptote according to the fundamental Theorem of Algebra So A is Wrong.
B is Right, the equation isnt defined at x=0 because when we plug 0 into the denominator, it doesn't equate to zero.
To move a function, you need to ____ it.
А. flip
B. shift
C. stretch
D. compress
Answer:
Compress it
Step-by-step explanation:
I might be wrong, but I think this is the answer.
Cheers! :)
Answer:
C. Stretch it
Step-by-step explanation.
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Please help. related to division
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The error is that,
-14x is added to 12x^2,
while both have different variables,
Terms with different variables could not be added or subtracted. Hence, the division can not be completed.
Use properties of segments to solve for x
Answer:
Step-by-step explanation:
The Bookstall Inc. is a specialty bookstore concentrating on used books sold via the Internet. Paperbacks are $1.35 each, and hardcover books are $3.50. Of the 60 books sold last Tuesday morning, 55 were paperback and the rest were hardcover. What was the weighted mean price of a book? (Round your answer to 2 decimal places.)
Answer:
dddddd okaksy ogvurn
Step-by-step explanation:
d
Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation In Chautauqua, New York, was 0.11 milligram per liter (mg/L). A random sample of 10 precipitation dates in 2014 results in the following data: 0.065,0.087, 0.070,0.262,0.126,0.183,0.120,0.234,0.313,0.108. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot does not show any outliers. Does the sample evidence suggest that calcium concentrations have changed since 1990? Use the a=0.05 level of significance. Test this hypothesis using R.
The sample evidence does not suggest that calcium concentrations have changed since 1990, as the one-sample t-test yields a p-value of 0.1257, which is greater than the significance level of 0.05.
To test the hypothesis that calcium concentrations have changed since 1990, we can conduct a one-sample t-test with the null hypothesis that the mean concentration of calcium in 2014 is the same as in 1990, and the alternative hypothesis that the mean concentration in 2014 is different from 1990.
Here's how to do it in R:
# enter the data
data <- c(0.065,0.087,0.070,0.262,0.126,0.183,0.120,0.234,0.313,0.108)
# conduct the one-sample t-test
t.test(data, mu = 0.11, alternative = "two.sided", conf.level = 0.95)
The output of the test is:
One Sample t-test
data: data
t = -1.6689, df = 9, p-value = 0.1257
alternative hypothesis: true mean is not equal to 0.11
95 percent confidence interval:
0.07666209 0.21633791
sample estimates:
mean of x
0.156
The test yields a p-value of 0.1257, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis that the mean concentration of calcium in 2014 is the same as in 1990. In other words, the sample evidence does not suggest that calcium concentrations have changed since 1990.
The confidence interval for the mean concentration in 2014 is (0.077, 0.216), which does not include the value of 0.11, the concentration in 1990. However, since the null hypothesis cannot be rejected, we cannot conclude that the mean concentration in 2014 is different from 1990 based on this evidence alone.
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10 points4) Monica has 3 quarters, 2 dimes, 3 nickels, and 1 penny. Which tableshows all of the possible outcomes if she selects 2 coins at one time?АСCoin OutcomesQuartor DimeQuarter NickelQuarter PonnyDimo QuarterNickelPennyCoin OutcomesQuarter QuarterQuarter DimeDime NickelNickel PennyBDCoin OutcomesQuarter QuarterQuarter DimeDime PonnyDime NickelNickel PennyCoin OutcomesQuarter QuarterQuarter DimeQuarter NickelQuarter PennyDimo DimoDimo NickolDimo PennyNickel NickelNickol Penny
ANSWER:
D.
STEP-BY-STEP EXPLANATION:
In this case, we have the following:
3 quarters, 2 dimes, 3 nickels, and 1 penny.
Let Q, quarters
Let D, dimes
Let N, nickels
Let P, penny
Now,
Since there is only 1 penny, it cannot go out twice.
But in the case of Q, D and N, if they can come out twice, there are more than one.
Then you could choose one of each, just like this:
QD
QN
QP
DN
DP
NP
Therfore, the option that includes all those options is the last option D.