Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answers
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
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Related Questions
how do you get a positive number out of-3(g-2)
Answers
How many 11-card hands are possible with a 20-card deck?
Answers
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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PLSSS HELP ME 14 POINTS
Answers
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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According to Wikipedia, the following are the lengths of terms of the US Presidents that preceded Joe Biden. There is a total of 44. You may have expected to see a total of 45, as Biden is the 46th us President, but Grover Cleveland was considered the 22nd and the 24th President, but is only counted once in this list The 2922 is the length of two full terms and the 1461 is the length of one full term FDR, the 4422 in the table, had actually started his FOURTH term before dying in office The 31 is William Henry Harrison who became ill shortly after his inauguration. His death may have been due to pneumonia Number of US Presidents 12 1 1 Term in Days 4422 2922 2865 2.840 2.728 2.041 2.027 1.886 1,654 1.503 1,461 1.460 1.430 1.419 1 1 12 1 1 1.419 1.262 1,036 969 895 881 492 199 31 TOTAL: 1 1 1 1 1 1 1 1 1 44 Determine the mean, median and mode for this set of data Give each to the nearest whole day Mean = Median = Mode = and With one of the modes being a high value as well as the term of FDR being much higher than all others, was pulled up to a higher value than another of hte measures of central tendency the
Answers
The mean of the given data is 1744 days, median of the given data is 1460.5 days, mode of the given data is 1461 days & 4422 days.
To find the mean, median, and mode of the lengths of terms of the US Presidents that preceded Joe Biden:
Mean:
To find the mean, we add up all of the term lengths and divide by the total number of terms:
Mean = (4422 + 2922 + 2865 + 2840 + 2728 + 2041 + 2027 + 1886 + 1654 + 1503 + 1461 + 1460 + 1430 + 1419 + 1262 + 1036 + 969 + 895 + 881 + 492 + 199 + 31) / 44
Mean = 1743.77 days
Median:
To find the median, we need to arrange the term lengths in order from smallest to largest, and then find the middle term. In this case, since we have an even number of terms, we will take the average of the two middle terms:
31 199 492 881 895 969 1036 1262 1419 1430 1460 1461 1503 1654 1886 2027 2041 2728 2840 2865 2922 4422
Median = (1460 + 1461) / 2
Median = 1460.5 days
Mode:
The mode is the most frequently occurring term length. In this case, there are two modes: 1,461 days and 4,422 days.
Since the term length of FDR is much higher than all the other term lengths, it has pulled up the mean to a higher value than the other measures of central tendency. Additionally, the mode being a high value is likely due to the fact that FDR served for more than three terms, which is an outlier in the data set.
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A CBS News/New York Times poll of 1,000 adults in the United States asked the question, "Do you think global warming will have an impact on you during your lifetime?" (CBS News website). Consider the responses by age groups shown below.
Answers
Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.
Define probability?Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.
Positive Results/Total Results = x/n = Probability (Event)
The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:
P (18-29 and no) = 293/(134 + 293 + 117) = 0.536
The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:
P (30+ and no) = 432/(131 + 432 + 178) = 0.654
The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:
P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265
Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.
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The complete question is:
Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?
Use the stemplot below to answer the following questions.
Stem |Leaf
9.5 |23556
9.6 |689
9.7 |246
9.8 |001557
Your answers should be exact numerical values.
What is the minimum (smallest) data value?
What is the maximum (largest) data value?
What data value shows up twice for the stem 9.5?
Answers
1. The minimum data value is 9.8.
2. The maximum data value is 9.6.
3. The data value that shows up twice for the stem 9.5 is 9.52.
To find the minimum and maximum data values, we need to examine the stemplot given:
Stem | Leaf
9.5 | 23556
9.6 | 689
9.7 | 246
9.8 | 001557
1. The minimum data value is the smallest value in the dataset. Looking at the stemplot, we see that the smallest leaf value is 0, and it corresponds to the stem 9.8. Therefore, the minimum data value is 9.8.
2. The maximum data value is the largest value in the dataset. By examining the stemplot, we find that the largest leaf value is 9, and it corresponds to the stem 9.6. Therefore, the maximum data value is 9.6.
3. Now, let's determine the data value that shows up twice for the stem 9.5. In the stemplot, we see that the stem 9.5 has two leaf values, 2 and 5. Therefore, the data value that shows up twice for the stem 9.5 is 9.52.
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Which of these numbers is NOT divisible by 3?
300
321
241
8.910
Answers
Answer: 241
300 / 3 = 100
321 / 3 = 107
241 / 3 = 80.333
8.910 / 3 = 2.97
You are asked to examine a t-shirt that was worn when someone was suspected to have fired a gun. The
detective wants to see if there is gunshot residue on it. Which microscope will you use for this task? SOMEONE PLZZZZ HELP ME ON THIS!
Answers
Answer:
The scanning electron microscope
Step-by-step explanation:
The scanning electron microscope can determine the proximity to a discharging firearm and/or the contact with a surface exposed to GSR
please help answer by putting
"question ___ is option ___"
Answers
Answer:
B A C A B
Step-by-step explanation:
i took this test before
You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 70.3 in and a standard deviation of 2.1 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. Give your answer in inches to the nearest inch.C = ______ in
Answers
Answer:
The value is \(x = 74.416 \ in\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 70.3\ in\)
The standard deviation is \(\sigma = 2.1\ in\)
Generally the probability of getting people with height in the top 2.5% is mathematically represented as
\(P(X > x ) = P(\frac{X - \mu }{\sigma} > \frac{x - 70.3 }{2.1 } ) = 0.025\)
Generally
\(\frac{X - \mu }{\sigma} = Z (The \ standardized \ value \ of X )\)
=> \(P(X > x ) = P(Z > \frac{x - 70.3 }{2.1 } ) = 0.025\)
Generally the critical value of 0.025 from the normal distribution table is
\(Z_{0.025} = 1.96\)
So
\(\frac{x - 70.3 }{2.1 } = 1.96\)
=> \(x = 74.416 \ in\)
The cut-off height will be "74.416 in".
Probability:This same probability of an occurrence occurring is defined by probability. There are several real-life scenarios in something we should forecast the result of such an occurrence.
According to the question,
Mean, μ = 70.3 in
Standard deviation, σ = 2.1 in
Now,
The probability of getting people with height be:
→ P(X > x) = P(\(\frac{X -\mu}{\sigma} > \frac{x-70.3}{2.1}\))
= 0.025
We know,
Z = \(\frac{X- \mu}{\sigma}\)
→ P(X > x) = P(Z > \(\frac{x-70.3}{2.1}\))
= 0.025
The critical value be:
\(Z_{0.025}\) = 1.96
hence,
The cut-off height be:
\(\frac{x-70.3}{2.1}\) = 1.96
x = 74.416 in
Thus the above answer is correct.
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The table shows the number of students graduating from an online university in selected year . Use a calculator to write a cubic model for the number of graduates in a given year since 2002. Then use the model to estimate the number of graduates in 2008.
Answers
There were approximately 5,184 graduates in 2008.
The cubic model is a useful tool for estimating the number of graduates in a given year, as it takes into account the trend of the data points. This allows us to make an educated guess about the number of graduates in a given year, despite not having data points for that year.The cubic model for the number of graduates from an online university since 2002 can be expressed as y = -7.8x^3 + 74.4x^2 + 437x - 9,150. Here, x is the number of years since 2002, and y is the number of graduates in that year. To estimate the number of graduates in 2008, we can plug in x = 6 into the equation, giving us y = 5,184. That is, there were approximately 5,184 graduates in 2008.
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Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
Answers
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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Ronald bought a set of notebooks for
$4.50. Each notebook regularly costs
$1.50. If the discounted rate was
20%, what was the discount on the
set?
Answers
Answer:
$0.90 in total saved
$0.30 for each notebook
You pay $3.60
Step-by-step explanation:
Find the original price $4.50
Get the the discount percentage 20%
Calculate the savings: 20% of $4.50 = $0.90
Subtract the savings from the original price to get the sale price: $4.50 - $0.90 = $3.60
K
The table shows the fraction of the population in selected countries that used cell phones in a recent year. Complete
the table by writing each fraction as an equivalent fraction with a denominator of 100.
Country
Country A
Country B
Country C
Country D
Country E
Country F
Country G
Country H
Country I
Country J
Fraction of
Equivalent Fraction
Population Using Cell with a Denominator of
Phones
100
87
100
9
10
23
25
23
25
17
25
91
100
4
5
67
100
2
25
...
7
10
Answers
The solution is given below.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
from the given chart we get,
the solution is attached below.
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Please help will mark Brainly
Answers
Answer:
B
Step-by-step explanation:
The domain is the set of \(x\)-values.
Find the value of x and y
Answers
The values of the sides x and y are 46 and 23√3 respectively using the trigonometric ratios of sine and tangent.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin 30° = 23/x {opposite/hypotenuse}
1/2 = 23/x {sin 30° = 1/2}
x = 2 × 23 {cross multiplication}
x = 46
tan 30° = 23/y {opposite/adjacent}
√3/3 = 23/y { tan 30° = √3/3}
y = (69√3)/3 {cross multiplication}
y = 23√3.
Therefore, the values of the sides x and y are 46 and 23√3 respectively using the trigonometric ratios of sine and tangent.
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Given f(x)=-x-2f(x)=−x−2, find f(-6)f(−6)
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
Put -6 where x is and do the arithmetic.
f(x) = -x -2
f(-6) = -(-6) -2 = 6 -2
f(-6) = 4
What is the value of g(x) = 5x + 1 when x = 3 ?
Answers
Step-by-step explanation:
5x+1
if x=3
5*3+1
15+1
16
Answer:
16
Step-by-step explanation:
g(x)=5x+1
g(3)=5(3)+1
g(3)=15+1
g(3)=16
A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 13. Find the numbers. (If applicable, write your answers in the form p±q√r)
Answers
From the problem, we know that:
2(x + 1) + x^2 = 13
Simplifying and rearranging:
x^2 + 2x - 11 = 0
Using the quadratic formula:
x = (-2 ± sqrt(2^2 - 4(1)(-11))) / (2(1))
x = (-2 ± sqrt(48)) / 2
x = (-2 ± 4sqrt(3)) / 2
x = -1 ± 2sqrt(3)
Since the problem states that the numbers are positive, we can ignore the negative solution. Therefore, the smaller number is:
x = -1 + 2sqrt(3)
And the larger number is:
x + 1 = 2sqrt(3)
So the two numbers are -1 + 2sqrt(3) and 2sqrt(3).
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
1. a = 4, b = 2√2
2. a = 4√3, b = 2√2
3. a = 4, b = 4√2
4. a = 4√3, b = 4√2
Answers
9514 1404 393
Answer:
1. a = 4, b = 2√2
Step-by-step explanation:
The right triangle is isosceles, so b is the same length as the marked side:
b = 2√2
The hypotenuse of an isosceles right triangle is √2 times the leg length, so ...
a = (√2)(2√2) = 2·2 = 4
The missing sides are ...
a = 4, b = 2√2
Can someone help me with think fast?
Answers
Answer:
124
Step-by-step explanation:
A supplementary angle is 180
180-56=124
In the expression if 2X=5=8X then 12X= ? you subtract 2X from each sideto get 5=6X then multiply both sides by 2
Why do you multiply both sides by 2
Answers
The value of 12x in the expression is 10
You multiply 5 = 6x by 2 to get 12x
Calculating the value of 12x in the expression
From the question, we have the following parameters that can be used in our computation:
2x + 5 = 8x
You subtract 2X from each side to get
5 = 6x
Then multiply both sides by 2
This gives
10 = 12x
So, we have
12x = 10
Why do you multiply both sides by 2
You multiply by 2 because the question requests for the value of 12x
Since, we have solved for 6x, the next step is to multiply 6x by 2 to get 12x
i.e. 6x * 2 = 12x
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Matemáticas resolver problemas
Answers
Sheena receives change of $7.55 after paying $20 bill.
How much is the change Sheena receives?Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.
Therefore,
Sheena buys three items, one sandwich and two pretzels.
Given the rate of sandwich = $6.95
Rate of pretzels = $2.75 each
So rate of two pretzels = $2.75 x 2 = $5.5
Total amount paid = $20
To find the change she receives ,
Total payment paid - total amount of items
Total amount for items = $6.95 + $5.5
= $12.45
Change receives = $20 - $12.45
= $7.55
Therefore the change Sheena receives is : $7.55.
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"In a tri-state conference, 60% attendees are from California, 25% from Oregon, and 15% from Washington. As it turns out 6 % of the attendees from California, 17% of the attendees from Oregon, and 12% of the attendees from Washington came to the conference by train. If an attendee is selected at random and found to have arrived by train, what is the probability that the person is from Washington?"
Answers
Answer:
18.65% probability that the person is from Washington
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Arrived by train.
Event B: From Washington.
15% are from Washington
This means that \(P(B) = 0.15\)
12% of the attendees from Washington came to the conference by train.
This means that \(P(A|B) = 0.12\)
Probability of arriving by train:
6% of 60%(from California), 17% of 25%(from Oregon) or 12% of 15%(from Washington). So
\(P(A) = 0.06*0.6 + 0.17*0.25 + 0.12*0.15 = 0.0965\)
If an attendee is selected at random and found to have arrived by train, what is the probability that the person is from Washington?"
\(P(B|A) = \frac{0.15*0.12}{0.0965} = 0.1865\)
18.65% probability that the person is from Washington
In a cookie jar there are 9 sugar cookies and 12 snickerdoodle cookies. The cookie are randomly mixed together in the jar. What is the probability of pulling two of the same types of cookies out of the cookie jar in a row without replacement?
Answers
Answer:
The probability of pulling two of the same types of cookies in a row without replacement is \(\frac{51}{105}\).
Step-by-step explanation:
There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is \(\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}\).
Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
Answers
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answers
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
Determine the interval(s) on which the given function is decreasing.
(Image: Polynomial going down from the left and going to a local minimum the point negative 1 comma 4 and then going up to a local maximum at the point 0 comma 5 and then going down to the right through the point 1 comma 0)
a
(–∞, –1) ∪ (0,∞)
b
(1, ∞)
c
(–∞, –1) ∪ (1, ∞)
d
(−1, 0)
Answers
Through examination of the written material, we have determined that the function exhibits a declining trend across the following time intervals: (0, 1)
What are Polynomials?A polynomial is an expression in mathematics that combines indeterminates with coefficients and uses solely the arithmetic operations of addition, subtraction, multiplication, and the exponentiation of variables by non-negative integers.
Starting at position (-1,0), a polynomial rises to its maximum at (0,5) before falling to its lowest at (-1,0). (1,4).
Since the function drops between its maximum and its lowest, the first interval in which it decreases is between these two points (0,1).
Elevating oneself to the right: a rise in value. Therefore, the following range shows a decreasing function: (0, 1)
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See the picture
Please help
Answers
Step-by-step explanation:
f(-5) goes through y=-9
So, f(-5) = -9
PLS HELP I WILL MARK BRAINILEST
Answers
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.