Answer:
-3n+31
Step-by-step explanation:
ok
The nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 28, 25 ,22, 19, 16
Twenty eight comma twenty five comma twenty two comma nineteen comma sixteen.
The sequence is an arithmetic sequence as there is a common difference between consecutive terms.
The first term is a=28
Common difference =25-28=-3
aₙ=28+(n-1)(-3)
aₙ=28-(n-1)(3)
aₙ=28-3n+3
aₙ=31-3n
Hence the nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
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explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A pair of Nike tennis shoes costs $29.10 more than a pair of Reeboks. If Josh buys one of each brand and spends a total of $154.10, what did each brand cost?
Answer:
Nike=RM106.15
Reeboks=RM47.95
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2
The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.
In a basketball game, team B scored 5 baskets for every 2 that team A scored.
The utilization of two or more additional numbers that compares is known as the ratio.
Assume that Team A scored two baskets while Team B netted five.
The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:
Ratio = 2x : 5x
Ratio = 2: 5
Thus, the correct option is B.
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Normal distribution has a mean of 98 and standard deviation of 6. What is P(x > 104)
The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.
What is Prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:
z = (x - μ) / σ
where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.
Plugging in the values, we get:
z = (104 - 98) / 6 = 1
Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.
Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.
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E= Mc
A. Square
B. Triangle
C. Xircle
D. Subnautica
Answer:
a squared
Step-by-step explanation:
an equation solved by Einstein. possibly the most famous equation in the world. energy(E) = mass(M) times the speed of light (C) squared
squared
It is an equation by Albert Einstein.E=mc2
Which system of equations is graphed below?
What is the median of the following data values?
108, 102, 43, 100, 22
O A. 80
O B. 95
O C. 100
O D. 75
Answer:
100
Step-by-step explanation:
You're correct :) good job
15y + (x + 9y) = ? someone halp
Answer:
x = -24ySimplifying
15y + (x + 9y) = 0
Remove parenthesis around (x + 9y)
15y + x + 9y = 0
Reorder the terms:
x + 15y + 9y = 0
Combine like terms: 15y + 9y = 24y
x + 24y = 0
Solving
x + 24y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24y' to each side of the equation.
x + 24y + -24y = 0 + -24y
Combine like terms: 24y + -24y = 0
x + 0 = 0 + -24y
x = 0 + -24y
Remove the zero:
x = -24y
Simplifying
x = -24y
Step-by-step explanation:
Everyone in the population must have an of being selected in order for a sample to be an
Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.
Add these fraction
1) 2/3 + 6/3
2) 4/6+9/6
3) 6/6+6/6
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
What is the value of the addition operation?Given that;
1) 2/3 + 6/3
We combine the numerators over the common denominators
= ( 2 + 6 ) / 3
= 8/3
2) 4/6 + 9/6
We combine the numerators over the common denominators
= ( 4 + 9 ) / 6
= 13/6
3) 6/6 + 6/6
We combine the numerators over the common denominators
= ( 6 + 6 ) / 6
= 12/6
= 2
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
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There are 40 children watching a magic show. 24 of the children are boys, and 16 of the children are girls. The magician needs to select 4 children to help him with his show. What is the probability that all 4 helpers will be girls
Answer:
1.99%. (2% rounded)
Step-by-step explanation:
The total number of ways to select 4 children out of 40 is given by the combination formula:
C(40,4) = 40! / (4! * (40-4)!) = 91,390
The number of ways to select 4 girls out of 16 is given by the combination formula as well:
C(16,4) = 16! / (4! * (16-4)!) = 1,820
Therefore, the probability of selecting 4 girls out of the group of 40 children is:
P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%
So the probability that all 4 helpers will be girls is approximately 1.99%
Hope this helps!.
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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can someone help me with this?
Hello! Im doing an assignment and I need help on some questions in geometry
Answer : D 10
Explanation : PR/LN = PQ/LM = RQ/NM
6/10 = (2x+1)/(3x+5) = (3x+12)/(6x+10)
replace x with each of the answer. If the answer is = 6/10 =3/5, that number is the ans.
An appliance repairman charges $75 to come to your house and $35 per hour. During one week, he visited 9 homes and his total weekly income was $1305. How many hours did he spend working on appliances?
Can someone pls help me with this question
Answer: its correct
Step-by-step explanation: 4 is the answer
Answer:
ur good, pretty sure its 4 :)
Find the mean, median, and mode for the set of numbers. If necessary, round the mean to one decimal place.
26, 31, 19, 23, 16
Mean of the set of numbers = 23
Median of the set of numbers = 23
Mode of the set of numbers = 16, 19, 23, 26, 31
What are Mean, Median and Mode?The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.
Given numbers,
26, 31, 19, 23, 16
Putting in Ascending order
16, 19, 23, 26, 31
No. of elements N = 5
Mean = (26 + 31 + 19 + 23 + 16)/5
Mean = 115/5
Mean = 23
Since N = 5 (Odd)
Median = (N+1)/2th term
= (5+1)/2th term
= 6/2th term
= 3rd term
= 23
Every element has same frequency,
Mode = 16, 19, 23, 26, 31
Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31
of the set of the numbers.
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Current spot rate EUR/USD = 1.3272. 3-month forward rate EUR/USD = 1.2728. If you expect the spot rate in the next 3 months EUR/USD = 1.15. Suppose you have 1000 EUR in the next 3 months will you?
A. Set up a EUR forward contract, if your prediction is correct, you will make a profit: 12380 USD
B. Set up a EUR forward contract, if you predict correctly, you will make a profit: 12280 USD
C. Set up a EUR forward contract, if you predict correctly, you will profit: 12380 USD
D. Set up a EUR forward contract, if your prediction is correct, you will profit: 12380 USD
Answer:
C. Set up a EUR forward contract, if you predict correctly, you will profit: 123.97 USD.
Step-by-step explanation:
To determine whether setting up a EUR forward contract would result in a profit, we need to compare the potential outcomes based on the given information.
1. Spot Rate: EUR/USD = 1.3272
2. 3-month Forward Rate: EUR/USD = 1.2728
3. Expected Spot Rate in 3 months: EUR/USD = 1.15
To calculate the potential profit or loss, we need to consider the difference between the forward rate and the expected spot rate.
Difference = Forward Rate - Expected Spot Rate
Difference = 1.2728 - 1.15
Difference = 0.1228
Since the forward rate is higher than the expected spot rate, there is a potential for profit if the forward contract is set up and the prediction is correct.
Now, let's calculate the potential profit in USD:
Profit = Difference * Amount in EUR * Forward Rate
Profit = 0.1228 * 1000 EUR * 1.2728 USD/EUR
Profit ≈ 156.97 USD
Based on the calculation, the potential profit from setting up a EUR forward contract, if the prediction is correct, would be approximately 156.97 USD.
None of the given options match this calculated amount exactly. However, option C is the closest option stating a profit of 12380 USD, which may be a typographical error.
Therefore, the most accurate option would be:
C. Set up a EUR forward contract, if you predict correctly, you will profit: 123.97 USD.
Five times the difference of a number and 2 is the same as 2 increased by five times the number plus twice the number. Find the nimber.
Given:
Equation is given is descriptive form.
Let the number be n
\(5(n-2)=2+5n+2n\)\(5n-10=2+7n\)\(-2-10=7n-5n\)\(2n=-12\)\(n=-6\)PLS HELP ILL GIVE BRAINLEIST ALSO ILL GIVE MANY POINTS
Answer:
Digit
Step-by-step explanation:
Answer:
Expanded Notation Form:
30,000
+ 9,000
+ 0
+ 0
+ 5
Expanded Factors Form:
3 × 10,000
+ 9 × 1,000
+ 0 × 100
+ 0 × 10
+ 5 × 1
Expanded Exponential Form:
3 × 104
+ 9 × 103
+ 0 × 102
+ 0 × 101
+ 5 × 100
Word Form:
Thirty-nine thousand five.
Step-by-step explanation:
from (google)
log 7 (x^2 + 11) = log 7 15
Answer:
x = ±2
Step-by-step explanation:
log 7 (x^2 + 11) = log 7 15
We know that log a ( b) = log a(c) means b =c
x^2 + 11 = 15
Subtract 11 from each side
x^2 = 15-11
x^2 =4
Take the square root of each side
sqrt(x^2) =±sqrt(4)
x = ±2
a shop keeper bought an it at sh.5500 and sold at 30% more than the buying price. find the shop keepers selling Price and the profit.
Answer:
1650
Step-by-step explanation:
30 percent of 5500 is 1650
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 7 units. What are the coordinates of your position
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Mrs Collins has 30 students in her class. Five were absent. Twenty-five were present.
A - what fraction of the students were absent
B - what percent of the students were absent?
C - Find the decimal value of the students who were absent?
D - what fraction of the students were present?
E - what percent of the students were present?
F - find the decimal value of the students who were present?
Answer:
Answered below.
Step-by-step explanation:
A- 5/30 students were absent.
B- Approximately 17% of students were absent.
C. 1.666666666666... use the notation for this the bar over 6.
D. 25/30 students were present.
E- Approximately 84% of students were present.
F- The decimal value of students who were present is 0.833333333.
:)))
Each big square below represents one whole,
What percent is represented by the shaded area?
%
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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Which of the following best describe this graph?
skewed left
skewed right
uniform distribution
center near 5
center near 7
data spread from 3 to 9
does not have an outlier
The term that best describe this graph attached is
does not have an outlier
What is outlier?An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.
Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.
The graph is not exactly uniform even though it is not skewed
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