The mass of a car is 2820 kg rounded to the nearest kilogram.
The mass of a person is 62.5 kg rounded to 1 decimal place.
Write the error interval for the combined mass, m. of the car and the person
in the form asm
Answers
Answer:
.
Step-by-step explanation:
.
Related Questions
you are attending a trade show that has booths from 20 different vendors. you hope to visit15of the booths. how many combinations of booths can you visit?
Answers
Out of 20 booths at a trade show, you can visit approximately 11,287 different combinations of 15 booths.
To calculate the number of combinations of booths you can visit out of the 20 available booths, we can use the concept of combinations. The formula for combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
where n is the total number of items (booths) and r is the number of items (booths) you want to select.
In this case, n = 20 (total booths) and r = 15 (booths you hope to visit). Plugging these values into the formula, we have:
C(20, 15) = 20! / (15! * (20 - 15)!)
Simplifying this expression, we get:
C(20, 15) = (20 * 19 * 18 * 17 * 16) / (15 * 14 * 13 * 12 * 11)
Calculating the numerator and denominator separately, we find:
C(20, 15) = 38,760 / 3,432
Finally, dividing these two numbers, we get:
C(20, 15) ≈ 11,287
Therefore, you can visit approximately 11,287 different combinations of booths out of the 20 available booths at the trade show.
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Find the surface area of this trapezoidal prism.
Answers
The surface area of the trapezoidal prism is 375 square meters
What is the surface area of the trapezoidal prism?From the question, we have the following parameters that can be used in our computation:
The trapezoidal prism
The surface area of the trapezoidal prism is calculated as
Surface area = Sum of areas of shapes that make up the prism
So, we have
Surface area = 2 * 1/2 * (5 + 15) * 7 + 5 * 5 + 2 * 6 * 10 + 6 * 15
Evaluate
Surface area = 375
Hence, the area is 375 square meters
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In the accompanying diagram of ASRT, LM || RT. If SL = 4, LR = 3, and RT = 21, find LM. S L R T
Answers
Given data:
The first given length is SL=4 units.
The second given length is LR=3 units.
The thi
how many 1/8s are in 1 1/4
Answers
There are 10 1/8s in \(1\frac{1}{4}\).
What is division?Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Given that a fraction, 1/8 of \(1\frac{1}{4}\).
On solving the given fraction, we get,
\(1\frac{1}{4}\) = 5/4
5/4÷1/8 = 10
Hence, There are 10 in the fraction 1/8s in \(1\frac{1}{4}\).
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A helicopter has a length of 15.2m is 1000 larger than is model What is the length of the model helicopter?
Help
Answers
Answer: 984.8
Step-by-step explanation:
graphic linear nonpropotional relationship unsing slope and y-intercept please help
Answers
Slope: 2
Y-intercept: -1
2.
Slope: 1/2
Y-intercept: 3
3.
Slope: x
Y-intercept: -4
4.
Slope: -x
Y-intercept: -2
5.
Slope: 15
Y-intercept: 10
C. Your score would be 85
*all graphs are in the image below*
Find the co-ordinates of the mid-point of the line joining the points A(2, -5) and B(6, 9).
Answers
Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
(2 , -5) and B (6 , 9)★ We have :
x₁ = 2x₂ = 6y₁ = -5y₂ = 9★ Midpoint of two points:-
\(\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar\)Now, refer to the attachment.
Additional Information :
★ Centroid of a triangle :-
\(\large\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar\)★ Distance Formula :-
\(\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar\)Visit more related questions—
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Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary
Answers
The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
How to evaluate the values of x, y, and z for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
√15/(y + 2) = y/√15 {opposite/adjacent}
y(y + 2) = (√15)² {cross multiplication}
y² + 2y = 15
y² + 2y - 15 = 0
by factorization;
(y - 3)(y + 5) = 0
y = 3 or y = -5
by Pythagoras rule:
(√15)² = x² + y²
15 = x² + 3²
x = √(15 - 9)
x = √6
z² = (√6)² + 2²
z = √(6 + 4)
z = √10
Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
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Suppose that cos(θ)=2/3. Find the exact value of sec(θ)
Answers
sec(θ) = 1/cos(θ)
Given that cos(θ) = 2/3, we substitute this value into the expression:
sec(θ) = 1/(2/3)
To divide by a fraction, we can multiply by its reciprocal:
sec(θ) = 1 * (3/2)
Simplifying the expression:
sec(θ) = 3/2
Therefore, the exact value of sec(θ) is 3/2.
plsssssssshelpppppppppp
Answers
a) The correct equation to represent the given condition is;
⇒ 4 (x + $3) = $36
Where, x represents the amount Pablo parents added in each day.
b) The amount to added by his parents in his account = $6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For 4 days, Pablo put $3 into his account.
And, His parent also add the some money to his saving account.
In the end, there was a total $36 in his account.
Now,
Let the amount Pablo parents added in each day = x
So, We can formulate;
⇒ 4 (x + $3) = $36
Solve for x as;
⇒ 4x + $12 = $36
⇒ 4 x = $36 - $12
⇒ 4x = $24
Divide by 4 both side, we get;
⇒ x = $6
Thus,
a) The correct equation to represent the given condition is;
⇒ 4 (x + $3) = $36
Where, x represents the amount Pablo parents added in each day.
b) The amount to added by his parents in his account = $6
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could someone help me with my recent asked questions? I really do need the help, but a lot of people don't take it seriously. Thank you :)
Answers
what do you need help with
Answer:
Sure
Step-by-step explanation:
What is the probability of randomly selecting a number between 5 and 11 from the numbers 1 - 15
Answers
The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.
What will be the probability for numbers 5 to 11?The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.
Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.
By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.
The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random number between 5 and 11 from the range of 1 to 15.
Number of events = 7
Total events = 15
Probability = 7/15
Probability = 0.46
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A standing wave can be mathematically expressed as y(x,t) = Acos(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
Answers
The displacement will only vary with time due to the sinusoidal function of the angular frequency w.
At time t=0,
the displacement of the string y (x,0) can be expressed as
y(x,0) = Acos(kx)sin(0)
since the angular frequency w is equal to zero at time t=0.
The sine of 0 is equal to 0, which means that the entire expression for y(x,0) is equal to 0.
Therefore, the displacement of the string at time t=0 is 0,
which is expected since the standing wave is at its equilibrium position at this point in time. It is important to note that the max transverse displacement (amplitude)
A and wave number k will still play a role in the shape and behavior of the standing wave, but they do not affect the displacement of the string at time t=0.
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Please explain the difference bewteen a left-recursive grammar
rule and a right-recursive grammar rule
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A left-recursive grammar rule is one where the non-terminal symbol appears on the left side of the production rule. In contrast, a right-recursive grammar rule is one where the non-terminal symbol appears on the right side of the production rule.
In a grammar, a production rule consists of a non-terminal symbol (the left-hand side) and a sequence of terminal and/or non-terminal symbols (the right-hand side). The order in which these symbols appear determines whether the rule is left-recursive or right-recursive.
A left-recursive grammar rule is of the form A -> Aα, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. This rule allows the non-terminal A to derive itself or to derive a string that eventually leads to A. Left-recursion can cause infinite loops during parsing or evaluation.
On the other hand, a right-recursive grammar rule is of the form A -> αA, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. In this case, the non-terminal A appears at the end of the rule, allowing the derivation to proceed from left to right.
The distinction between left-recursive and right-recursive grammar rules is important in parsing algorithms and language processing. Most top-down parsing techniques, like recursive descent parsing, can handle right-recursive rules efficiently, while left-recursive rules can cause problems.
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1. The temperature in Chicago is 10°F. The temperature drops 15°F overnight. What is the temperature in the morning? SIN
Answers
Answer:
-5
Step-by-step explanation:
10 minutes 15 equals -5
Answer:
-5
Step-by-step explanation:
10 minutes 15 equals -5
unit 2 lesson 4 - Point C is the dilation of point B with the center of dilation A and scale factor S. Estimate S. What is the best estimate for the scale factors?
Answers
Scale factor is simply the ratio of sides of two corresponding figures
The estimated scale factor is 1.5
From the question, we have:
The actual figure is ABThe dilation is ACThe center of dilation is ASo, the scale factor (S) would be:
\(\mathbf{S = \frac{AC}{AB}}\)
The actual measurements are not given; so, we will make use of estimates
The estimates to use are:
\(\mathbf{AB = 1}\)
\(\mathbf{AC = 1.5}\)
So, the scale factor is:
\(\mathbf{S = \frac{1.5}{1}}\)
\(\mathbf{S = 1.5}\)
Hence, the estimated scale factor is 1.5
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What is the slope of the line that passes through the points (2, 3) and (0, 11)? Write
your answer in simplest form.
Answers
Answer:
-4
Step-by-step explanation:
We can use slope formula m = (y2-y1)/(x2-x1)
So just substitute those two points in it.
m = (11- 3)/(0-2)
m = 8/(-2)
m= -4
where does the dependance of experience is reflected in prior proability syntactic distinction semantic distinction both a & b none of the mentioned
Answers
The dependance on experience is reflected in the syntactic distinction between prior probability statements.
syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.
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Laura earns $66 washing 6 cars. At this rate, how many cars did Laura wash to earn $88?
Answers
Answer:
8 car's for 88$ the same thing for the 6 car's for 66$
Answer:
Laura washed 8 cars to earn $ 88
Step-by-step explanation:
Number of cars : earnings = 6 : 66
6 : 66 :: x : 88
Product of mean = Product of extremes
66 * x = 6 *88
x = \(\frac{6*88}{66} = \frac{1*88}{11}\)
x = 8
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How much money did they spend on equipment?
Answers
Answer:
711
Step-by-step explanation:
They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*79/100=9*79=711 dollars on equipment.
A horizontal line is modeled by the equation, y = -3. What are the coordinates of the line's y-intercept? Write the coordinates as an ordered pair - e.g (x,y).
Answers
Graph for equation seen below
The heights of 100 people in an office building were recorded and the results were normally
distributed. Which histogram shows a normal distribution that could represent this data?
Answers
Answer:
d
Step-by-step explanation:
Lincoln High School earned $5,100 in ticket sales for a play. The cost per ticket was 12$. Let t represent the number of tickets sold to the play. Which of the following equations could be used to determine how many tickets were sold to the play
Answers
Answer:5100 divided by 12=425
Step-by-step explanation:
please help with question. will give brainly
Answers
Answer: -13/36
Step-by-step explanation: just trust me and u did say brainliest soooo where it at lol
Answer:
-13/36
Step-by-step explanation:
-15/36 + 16/36 - 14/36 = -13/36
The distance around a circular pen 20π ft. What is the exact area of the pen? Leave your answer in terms of π in order to get an exact answer.
Answers
Answer:
r=10cm (assuming the units to be in cm ). The area of a circle is given by formula: πr2. Where, π has a constant value of ≈3.14
A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Answers
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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A radio station charges an initial fee for broadcasting advertisements plus a rate based on the length of the advertisement in seconds. The table below shows the total charges for advertisements of different lengths.
Which equation BEST represents the linear relationship between n, the length in seconds of an advertisement and c, the total charge of the advertisement?
a. c=3n+180
b. c=4n+120
c. c=2n+210
d. c=5n+150
p.s graph is attached
Answers
Answer:
It's a.
Step-by-step explanation:
15s*3+180＝225
30s*3+180＝270
60s*3+180＝360
30s*3+180＝270
Factor completely 2x4y3 − 12x3y2 − 8x2y.
Answers
Answer:
2x^2y(x^2y^2 − 6xy − 4)
Step-by-step explanation:
if I travel 10 miles in a north-east direction, how far to the east did I travel? How far to the north?
Answers
Answer:
I'm not sure what the answer is but I will tell you when I find out
8 squared + b squared= 17 squared find b
Answers
Answer:
b=15
Step-by-step explanation:
8²+b²=17²
b²=225
b=15