15. Asriel thinks he has room for a 50 inch TV in his living room. It turns out
he only has room for a 40 inch TV. What is his percent error? *
10%
25%
20%
30%
Answers
Answer: 10%
Step-by-step explanation: because if you subtract 50-40 you get 10 and then you just add the % sign and you can cross out d and b.
hope this helps you
Answer:
20%
Step-by-step explanation:
Since, 40/50 is equal to 80/100 we can tell that the 2 are 80% close to eachother, but there is 20% difference!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Related Questions
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression
12
+
5
×
3
−
4
12
+
5
×
3
-
4
.
Is Sophia correct?
Answers
Sophia age for her Uncles age is wrong . The correct expression is (12 + 5) × 3 - 4.
How to find the expression for Reynald age?Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age.
Therefore, let's find the expression for Her uncle's age and compare it with Sophia expression.
Therefore,
(12 + 5) × 3 - 4
Therefore, Sophia expression is wrong. The correct age for her Uncles age is (12 + 5) × 3 - 4.
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supplies for 25 favors cost $62.5, how much do supplies for 60 favors cost?
Answers
Answer:
Step-by-step explanation:
25 favors ... $62.50
60 favors ... $x = ?
If you would like to know how much do the supplies for 60 favors cost, you can calculate this using the following steps:
25 * x = 60 * 62.50
25 * x = 3750 /25
x = 3750 / 25
x = $150
Result: The supplies for 60 favors cost $150.
the cpi for this year is calculated by dividing the using by the using and multiplying by 100. however, the gdp deflator reflects only the prices of all goods and services .
Answers
The GDP deflator reflects only the prices of all goods and services produced domestically, whereas the CPI (Consumer Price Index) reflects the prices of a fixed basket of goods and services purchased by consumers.
The GDP deflator is a measure of the average level of prices of all new, domestically produced, final goods and services in an economy. It measures the ratio of the value of goods and services produced in a given year at current prices to their value at base year prices. In contrast, the CPI measures the average change over time in the prices paid by urban consumers for a fixed basket of goods and services, including food, housing, transportation, and other goods and services. The GDP deflator is often used to adjust nominal GDP (Gross Domestic Product) to real GDP, which is a measure of economic output that takes into account the effects of inflation. The CPI, on the other hand, is used to adjust income and spending data for changes in the cost of living. In summary, while both the CPI and GDP deflator are measures of inflation, they reflect different aspects of the economy. The CPI reflects the prices paid by consumers for a fixed basket of goods and services, while the GDP deflator reflects the prices of all goods and services produced domestically.
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Complete Question
the CPI for this year is calculated by dividing the using by the using and multiplying by 100. however, the GDP deflator reflects only the prices of all goods and services . Fill in the blanks.
Assume the lifespan of light bulbs manufactured by Bright Inc. can be modeled with a normal distribution with a mean of 300 days and a standard deviation of 40 days. 20% of light bulbs produced by Bright Inc. survive less than how many days?
Answers
Answer:
Okay, let's solve this problem in steps:
The lifespan of Bright Inc. light bulbs follows a normal distribution with a mean (μ) of 300 days and standard deviation (σ) of 40 days.
To find the 20th percentile, we calculate:
20th percentile = μ - σ * 0.842
= 300 - 40 * 0.842
= 255 days
20% of light bulbs survive less than the 20th percentile.
So 20% of Bright Inc. light bulbs survive less than 255 days.
In summary, 20% of light bulbs produced by Bright Inc. survive less than 255 days.
Let's break this down further step-by-step:
A normal distribution is symmetrical and bell-shaped. The mean (μ=300 days) is the center of the distribution. The standard deviation (σ=40 days) describes the spread/variance of the distribution.
To find percentiles other than the mean, we use the equation:
Percentile = μ - σ * z-score
Here, the 20th percentile z-score is 0.842.
So 20th percentile = 300 - 40 * 0.842 = 255
Since 20% of the data lies below the 20th percentile, 20% of the light bulbs will have lifespans less than 255 days.
If the mean was higher (say 350 days), the 20th percentile and lifespan less than would also be higher (around 300-310 days).
If the standard deviation was higher (say 60 days), the 20th percentile range would be wider ( 245 to 265 days) indicating more variability.
Step-by-step explanation:
quipment was acquired at the beginning of the year value of $7,620. a. Compute the depreciation expense for the first year cost of $78,420. The ement was depreciated using the straight line method based on an estimated useful life of 6 years and an estimated residual b. Assuming the equipment was sold at the end of the second year for $59,200, determine the gain or loss on sale of the equipment c. Journalize the entry to record the sale. If an amount box does not require an entry, leave it blank
Answers
The equipment acquired at the beginning of the year had a value of $7,620.
a. The depreciation expense for the first year is $13,070.b. The gain on the sale of the equipment at the end of the second year is $6,920.c. The journal entry to record the sale would be as follows:⇒ Debit: Cash/Bank Account = $59,200
Debit: Accumulated Depreciation = $26,140
Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or ($6,920) (if loss)
Credit: Equipment = $78,420
At the beginning of the year, equipment with a value of $7,620 was acquired. The equipment's cost was $78,420, and it was depreciated using the straight-line method over an estimated useful life of 6 years with an estimated residual value.
a. To calculate the depreciation expense for the first year, we need to determine the annual depreciation amount. The formula for straight-line depreciation is:
Annual Depreciation Expense = (Cost - Residual Value) / Useful Life
Given that the cost is $78,420, the estimated residual value is not provided in the question, so we assume it to be $0, and the useful life is 6 years, we can calculate the annual depreciation expense as follows:
Annual Depreciation Expense = ($78,420 - $0) / 6 = $13,070
Therefore, the depreciation expense for the first year is $13,070.
b. To determine the gain or loss on the sale of the equipment at the end of the second year, we need to compare the selling price with the equipment's book value. The book value can be calculated as follows:
Book Value = Cost - Accumulated Depreciation
Given that the cost is $78,420 and the depreciation expense for the first year is $13,070, we can calculate the accumulated depreciation for the first year:
Accumulated Depreciation (Year 1) = Depreciation Expense (Year 1) = $13,070
The accumulated depreciation for the second year would be twice the first-year depreciation expense:
Accumulated Depreciation (Year 2) = 2 * Depreciation Expense (Year 1) = 2 * $13,070 = $26,140
Now we can calculate the book value at the end of the second year:
Book Value (Year 2) = Cost - Accumulated Depreciation (Year 2) = $78,420 - $26,140 = $52,280
Given that the equipment was sold for $59,200, we can determine the gain or loss on the sale:
Gain or Loss = Selling Price - Book Value = $59,200 - $52,280 = $6,920
Therefore, there is a gain of $6,920 on the sale of the equipment.
c. Journal entry to record the sale:
Debit: Cash/Bank Account = $59,200
Debit: Accumulated Depreciation = $26,140
Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or ($6,920) (if loss)
Credit: Equipment = $78,420
The journal entry debits the cash/bank account for the selling price, debits the accumulated depreciation to remove the accumulated depreciation up to the sale date, credits the gain or loss on the sale of equipment, and credits the equipment account to remove the equipment from the books.
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Identify the coefficients in the expression 4a + 15-3k *
Answers
4 is the coefficient in 4a and 3 is the coefficient in 3k
Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $3.00. Enrico buys 5 pounds and
pays $7.50. Anna buys 3 pounds and pays $4.50.
Identify the graph and unit price that represent the orange costs.
Answers
Answer:
C
Step-by-step explanation:
Because if you plug those numbers into the graph, only C and D fit. Now we have to look at the unit price. If LaMar buys 2 lbs and pays 3.00 dollars, we know that the unit price is 3/2=1.5 dollars per pound. You could also check with the other peoples. $7.5/5lbs=1.5 dollars. $4.5/3lbs=$1.5
The relationship between the data and the line and the unit price of oranges of $1.50 per pound is best represented by option C.
What is the slope of a line?The slope of a line is the tangent of the angle that the line makes with the positive direction of the x-axis.
It signifies the rise in the y-variable for a unit change in the x-variable.
If the line passes through the points (x, y) and (x, y), then the slope of the line, m = (y - y)/(x - x).
How to solve the question?In the question, we are asked to identify the graph and mention the unit price of the orange from the available data.
Taking the quantity of oranges bought in pounds and the cost of oranges in dollars on the x and y axes respectively, we can say that the line must pass through the points:
(2, 3) representing the purchase by LaMar,
(5, 7.5) representing the purchase by Enrico,
(3, 4.5) representing the purchase by Anna.
The unit price can be calculated by calculating the slope of the line,
m = (7.5 - 4.5)/(5 - 3) = 3/2 = 1.5.
These points and the required unit rate is satisfied by option C, thus it is the best choice.
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Help PLZZ
Find the slope of the line through each pair of points
1.(10,-9),(-4,-14)
2.(16,6),(-4,-14)
3.(9,-4),(5,-20)
4.(-13,20),(-18,20)
Answers
To find slope we use the formula ~
\( \sf \dfrac{y2 - y1}{x2 - x1} \)[ Ratio of the difference of y - coordinates of the points and the difference of x - coordinates of the points ]
let's find the slope of line passing through the given points ~
1. (10 , -9) and (-4 , -14) \( \sf \dfrac{ - 9 - ( - 14)}{10 - ( - 4)} \)\( \sf \dfrac{ - 9 + 14}{10 + 4} \)\( \sf \dfrac{5}{14} \)2. (16 , 6) and (-4 , -14)\( \sf \dfrac{6 - ( - 14)}{16 - ( - 4)}\)\( \sf \dfrac{6 + 14}{16 + 4} \)\( \sf \dfrac{20}{20}\)\( \sf1\)3. (9 , -4) and (5 , -20)\( \sf \dfrac{ - 4 - ( - 20)}{9 - 5}\)\( \sf \dfrac{ - 4 + 20}{4} \)\( \sf \dfrac{16}{4} \)\( \sf4\)4. (-13 , 20) and (-18 , 20)\( \sf \dfrac{20 - 20}{ - 13 - ( - 18)} \)\( \sf\dfrac{0}{ - 13 + 18} \)\(0\)I hope it helps ~
___________________________________
\(꧁ \: \: \large \rm{kaul} \: ꧂\)
a(b + 8) = ab + __
Answer?
Answers
Answer:
ab + 8a
Step-by-step explanation:
a(b + 8)
~Distribute
ab + a8
~Reorder
ab + 8a
Best of Luck!
Answer:
8a
Step-by-step explanation:
you open the bracket by multiplying a with each element
a(b+8)=ab+8a
Please answer this question
Answers
Teal Graph: Domain = {-infinity, 8}
Teal Graph: Range = {-infinity, 10}
Purple Graph: Domain = all real numbers
Purple Graph: Range = [2, infinity)
Black Graph: Domain = [-2, 6]
Black Graph: Range = [-2, 2]
Blue Graph: Domain = all real numbers
Blue Graph: Range = {-3, 0, 3}
how far from the base of a building must the bottom of a 15 foot ladder sit for it to make a 52 angle with the ground
Answers
Answer:
9.23 ft
Step-by-step explanation:
Right triangle = cos 52 degrees = adjacent side/hypotenuse
Cos (52 degrees) = 0.615661
0.615661 = x/15
(0.615661)*(15) = x
x = 9.23 ft
A plane travels 800 metres along the runway before taking off at an angle of 10∘
.It travels a further 1 000 metres at this angle as seen in the figure. Work out the distance of the plane from its starting point. Give your answer to 2 decimal places.
Answers
I hope this step by step explanation helps.
A plane travels 800 meters along the runway before taking off, then the distance travelled from the starting point will be equal to 1793.24 meters.
What is Velocity?Velocity is the rate at which a moving object's direction changes as perceived from a certain vantage point and measured by a particular unit of time. Kinematics, the area of special relativity that investigates how bodies move, starts with the fundamental idea of speed.
In order to be explained, the scientific vector quantity known as velocity needs to have both a magnitude and a direction.
As per the given data in the question,
Distance travelled by plane = 800 meters
Use the equation,
a² = b² + c² -2bc cos A
d² = 800² + 1000² - (2 × 800 × 1000 × cos 170°)
d² = 1640000 - 1600000(cos 170°)
d² = 3215692.405
d = 1793.24
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what is the reference angle for the given angle measure drawn in standard position? drag an angle measure into each box to match the angle measure and the reference angle.
Answers
The reference angle of 17π/3 is π/3.
The reference angle of -7π/12 is 5π/12.
The reference angle of -31π/6 is π/6.
What is a reference angle?The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle. There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.
Given that first angle is 17π/3
= 15π/3 + 2π/3
= 5π + 2π/3
The reference angle of 17π/3 is
π - 2π/3
= (3π - 2π)/3
= π/3
The second angle is -7π/12
The reference angle of -7π/12 is
= π - 7π/12
= (12π - 7π)/12
= 5π/12
The third angle is -31π/6
= -30π/6 - π/6
= -5π -π/3
The reference angle of -31π/6 is
= π/6
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This question is incomplete, the complete question is in attached image.
Please help me with edge question .
Answers
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
which step comes first -b-2<8
Answers
Answer:
Step-by-step explanation:
Alright so the step that comes first is adding two to both sides.
Let me show you,
Step 1
-b-2<8 Add 2 to both sides
-b<10
Then you divide the sides by -1
-b<10
b>-10
what is 6123-1144 with barrowing
Answers
Answer:
4979
Step-by-step explanation:
A salesperson at a jewelry store earns 6% commission each week. Last week, jarrod sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answers
Answer:
1/ $ 4.08
2/ $675.92
Step-by-step explanation:
Take 68 times 0.06% = $4.08
680 - 4.08= 675.92
Answer:
Step-by-step explanation:
40.80 it told me the answer
(a) let f(t) = a(bt), with f(−1) = 1/2 and f(2) = 108. find the values of aand b.
Answers
let f(t) = a(b^t), with f(−1) = 1/2 and f(2) = 108. find the values of a and b.
let f(t) = a(b^t), with f(−1) = 1/2 and f(2) = 108. We have to find the values of a and b.The function f(t) = a(b^t) is of the form exponential functions.
Exponential functions: The exponential function is of the form y = ab^x. The base b must be greater than zero but cannot be equal to 1. The exponential function is a one-to-one function, which means that it passes the horizontal line test. Therefore, it has an inverse function.a. Finding the value of a. Using the value of f(−1) = 1/2, we get
a(b^−1) = 1/2
a/b = 1/2 .............(1)
Using the value of f(2) = 108, we get
a(b^2) = 108
a(b^2) = 2^2 * 3^3 ..........(2)
Dividing equation (2) by equation (1), we get
b^3 = 2^3 * 3^3
b = 2 * 3
b = 6
Plugging the value of b = 6 in equation (1), we get a/6 = 1/2 => a = 3
Therefore, the values of a and b are a = 3 and b = 6.
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reduce into lowest term 150by 600
Answers
The tins of cat food that I buy are normally 80 cents each. They are also available in packs of 6, but there is no advantage to this as they cost $4.80 My neighbor told me this morning that the everlo supermarket has a special offer this week: 25% off all tins and a further 60 cents off a pack of 6. I have given my son $20 and sent him to Everlo to but as many tins as he can.
Answers
Answer: 39 tins of cat food.
Step-by-step explanation:
I am assuming the question is how the number of tins that can be bought.
Step 1 - Discounted price
With the discount a tin would cost;
= 80 * ( 1 - 25%)
= 60 cents
Step 2 - Packs of 6 purchased at discounted price
Every pack of 6 attracts 60 cents off which means that they are paying the price of 5 tins for 6 tins.
Price of 5 tins;
= 60 * 5
= $3
Out of $20, the number of packs of 6 he can buy are;
= 20/ 3
= 6.67
= 6 packs of 6
Step 3 - Number tins not in pack of 6 bought
If he buys 6 packs of 6 the amount of money left is;
= 20 - ( 6 * 3)
= $2
With these $2, he could buy;
= 200 cents/60 cents
= 3.333
= 3 tins
Step 4 - Total number of Tins bought
The total number of tins he can buy are therefore;
= 6 packs of 6 + 3 tins
= (6 * 6) + 3
= 39 tins of cat food.
What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)?
parallelogram
rhombus
quadrilateral
rectangle
Answers
Answer:
The most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2) is a parallelogram.
To see why, we can use the slope formula to find the slope of each side of the quadrilateral. If opposite sides of a quadrilateral have the same slope, then it is a parallelogram.
Slope of AB: (4 - 2) / (-1 - (-3)) = 2/2 = 1
Slope of CD: (2 - 4) / (2 - 4) = -2/2 = -1
Slope of BC: (4 - 4) / (-1 - 4) = 0/-5 = 0
Slope of AD: (2 - 2) / (-3 - 2) = 0/-5 = 0
We can see that the slopes of AB and CD are equal, and the slopes of BC and AD are equal. Therefore, ABCD is a parallelogram.
While it is also true that the opposite sides of this parallelogram are equal in length, we cannot say that it is a rhombus because the diagonals are not perpendicular. We also cannot say that it is a rectangle because the angles are not all right angles. Therefore, the most precise name for this quadrilateral is a parallelogram.
Step-by-step explanation:
\(\frac{2x^{-3}y^{-2}}{z^{4} }\)
Answers
I hope I did something for you
![[tex]\frac{2x^{-3}y^{-2}}{z^{4} }[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/BQeLaW8Z4hIiickpBLd5S9zrpPKN8sHL.png)
damian rides his bike 38 miles each week for 15 weeks how many total miles did he ride in 15 weeks
Answers
Answer:
570 miles
Step-by-step explanation:
If Damian rides 38 each week and we want to know how much it was for 15 weeks, then we just multiply the two to get 570 miles in a 15 week period.
Answer:570
Step-by-step explanation:
38 times 15= 570
you are a contestant in a quiz show, answering a series of questions. you answer correctly with probability p, or incorrectly with proabaility q; you get $1 for every correct answer, and you are eliminated when you first give two consecutive wrong answers. the questions are indepdent. find the expecred number of questions you attempt, and your expecred total prize moeny
Answers
The expected total prize money is $2p/q.
Given that,
You participate as a participant in a game show and respond to questions. You receive $1 for each correct response, and you are disqualified if you first provide two consecutive inaccurate answers. You can answer properly with probability p or wrongly with probability q. Each question stands alone.
Let,
The probability of correctly answering a question is = p
The probability of incorrectly answering a question is = q
The number of failures after which you are eliminated is = 2
Let r = 2 = No. of failures and
Let q = The probability of failure in a single question
Now, the number of questions that you will attempt will follow a negative binomial distribution whose parameters are r and q.
The expected value of a negative binomial distribution is given by
E[X] = r/q
So, the expected number of questions that you will attempt is = r/q = 2/q
Out of 2/q questions, the expected number of correct questions is = 2p/q
So, the expected total prize money is $2p/q.
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Milan runs each lap in 4 minutes. He will run at least 28 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answers
Answer:6n+4=28
n=6
I think this is how you do it.
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
Answers
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
Which of the following figures has 90 rotation symmetry?
a oval
b triangle
c circle
d rectangle
Answers
a student of 9 engines contains 2 defective engines. an auto shop buys 4 engineers. what is the probability of the shop purchasing at least 3 non-defective engines?
Answers
The probability of the shop purchasing is 5/9.
How to find probability shop purchasing?Let X be the number of non-defective engines purchased by the auto shop out of the 4 engines bought. We want to find P(X >= 3), the probability of getting at least 3 non-defective engines.
Using the hypergeometric distribution formula, we have:
P(X >= 3) = P(X = 3) + P(X = 4)
where
P(X = k) = (C(7, k) * C(2, 4-k)) / C(9, 4)
So, we have:
P(X = 3) = (C(7, 3) * C(2, 1)) / C(9, 4) = (35 * 2) / 126 = 5/18
P(X = 4) = (C(7, 4) * C(2, 0)) / C(9, 4) = (35 * 1) / 126 = 5/18
Therefore,
P(X >= 3) = 5/18 + 5/18 = 10/18 = 5/9
So the probability of the shop purchasing at least 3 non-defective engines is 5/9.
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is -3 a solution to the equation 3x-5=4+2x?explain.
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answers
Answer:
No
Step-by-step explanation:
3x-5=4+2x
x-5=4 (subtract 2x from both sides)
x=9 (add 5 to both sides)
"The probability of event A given event B is denoted by OP (A or B) OP (A and B) O P(A/B) OP(BIA)
Answers
the correct notation to represent the probability of event A given event B is P(A|B).
The correct notation for the probability of event A given event B is P(A|B), which is read as "the probability of A given B." This notation represents the conditional probability of event A occurring, given that event B has already occurred.
On the other hand, OP (A or B) represents the probability of either event A or event B occurring, or their union. This is not the same as the probability of A given B.
Similarly, OP (A and B) represents the probability of both event A and event B occurring, or their intersection. This is also different from the probability of A given B.
OP(A/B) and OP(BIA) are not standard notations in probability theory and are not commonly used to represent conditional probabilities. The correct notation for conditional probability is P(A|B).
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