Answer:
\( \sf \: 12 + x = 15\)
Step-by-step explanation:
Given expression,
→ 12 + x
Now we have to,
→ Simplify the given expression.
We have to use,
→ x = 3
Let's simplify the expression,
→ 12 + x
→ 12 + 3
→ 15 => [answer]
Therefore, the solution is 15.
Solve the equation for the specified variable.
s=gh-4gc4, for g
Answer:
OOOOOOOOOOOOOOOOOOOOOOOOOOO OK BRO
Step-by-step explanation:
HELP ASAP PLZZ I WILL GIVE BRAINLIEST
Answer:
12 cars per day
Step-by-step explanation:
Does anyone know how to add mixed numbers and fractions? If so, here is my question! 2 3/4 + hour and a half.
Answer:
4 and 1/4
Step-by-step explanation:
Change 2 and 3/4 to 11/4 (Improper fracti)
Change 1 and 1/2 to 3/2 (Improper fracti)
Add
11/4 + 3/2 Find common denomi (4)
= 11/4 + 3(2)/4 Multiply numerator by (2)
= 11/4 + 6/4
= 17/4
= 4 and 1/4
Select the car that has the best fuel efficiency (greatest number of kilometers per liter of gasoline). Choose 1 answer: Choose 1 answer: (Choice A) A (Choice B) B Car B uses 101010 liters to travel 110110110 kilometers. (Choice C) C Car C Kilometers Liters 484848 444 606060 555 727272 666
Car A has the best fuel efficiency as it gives 80 km/liter which is far better than car B and car C.
Fuel efficiency is expressed as a measurement of how much a car will transform power in fuel into kinetic energy to travel. Fuel efficiency indicates how distant your car can travel with a specific amount of fuel.
To determine fuel efficiency, we need to calculate the number of kilometers toured for each car.
Car A = 80 km / 1 liter
Car A = 80 km/liter
Car B = 110110110 km / 101010 liters
Car B = 1.089 km/liter
Car C =727272 km / 666 liters
Car C = 1.092 km/liter
Therefore we can conclude that Car A has the best fuel efficiency.
To learn more about fuel efficiency,
https://brainly.com/question/29014543
#SPJ4
The complete question is-
Select the car that has the best fuel efficiency.
Car A's journey is 80km to 1 liter.
Car B's journey is 110110110 km to 101010 liters
Car C's journey is 727272 km to 666 liters
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
To know more about depreciation, refer here:
https://brainly.com/question/30531944
#SPJ11
The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
learn more about gain here:
https://brainly.com/question/31218742
#SPJ11
Find the value of (8 × 10³)²
Answer:
64 × \(10^{6}\)
Step-by-step explanation:
(8 × 10³)² = (8 × 10³)(8 × 10³)
= 8 × 10³ × 8 × 10³
= 64 × \(10^{6}\)
Answer:
64000000Step-by-step explanation:
Find the value of (8 × 10³)²
(8 × 10³)² =
(8 × 1000)² =
8000² =
64000000
Glen rolls a biased dice 400 times.
The results are shown below in the table.
Score Frequency
1 95
2 134
3 45
4 26
5 75
6 25
Jake rolls the same dice 720 times.
Estimate how many 5's he can expect to get. Answer
When Jake rolls the same dice 720 times, the number of 5s will be 135.
How to illustrate the information?It should be noted that the frequency for 5 is 75 out of 400. This will be:
= 75 / 400
= 3/ 16
Therefore, when Jake rolls the same dice 720 times, the number of 5s will be:
= 3/16 × 720
= 135
Learn more about table on:
brainly.com/question/25630111
#SPJ1
Why does a plasmid that is going to be used in both yeast and bacteria need to have two different selection markers? Select ALL that apply. The same selection (e.g. presence of an antibiotic) may not work for both hosts. Having more genes makes the plasmid bigger and thus easier to work with and maintain. In cases where the same selection can be used in both hosts, two selection markers are still needed because bacteria and yeast recognize different promoters The codons used by bacteria correspond to different amino acids than they do in yeast.
A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.
When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.
Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.
In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.
To learn more about plasmid refer:
https://brainly.com/question/30313647
#SPJ11
In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below: Row 1 contents are Men; bar; blank; bar; Women. Row 2 contents are 2; bar; 0; bar; 3. Row 3 contents are 8, 5, 4; bar; 1; bar; 4, 7. Row 4 contents are 8, 3, 1; bar; 2; bar; 2, 3, 6, 7. Row 5 contents are 9, 4; bar; 3; bar; 0, 5. Row 6 contents are 6; bar; 4; bar; 1. Part A: Describe the shape of each data set. (3 points) Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning. (3 points) Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically. (4 points) (10 points)
The box for the women is symmetrical and that of the men is skewed
How to depict the information?The day box shows that the yellow one belongs to the points scored by the men and the green one is for the points scored by the women.
Women: The box seems symmetrical, the median and the mean are almost the same.
Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median.
As you can see in the box plot, the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:
Me= 24.50
X[bar]= 23.80
The median divides the sample in halves (50-50), it shows you where the middle of the distribution is.
The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set.
As you can see in the box plots, there are no outliers in both distributions. An outlier is an observation that is significantly distant from the rest of the data set.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
For the women data set:
Q₁= 17; Q₃= 30; IQR= 30 - 17= 13
Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5 × 13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.
Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.
Learn more about data on:
https://brainly.com/question/19243813
#SPJ1
What type of number is -4/2?
Choose all answers that apply:
(Choice A) Whole number
(Choice B) Integer
(Choice C) Rational
(Choice D) Irrational
Answer:
The type of number that represents -4/2 is:
Choice B) Integer
Choice C) Rational
Step-by-step explanation:
The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.
-4/2 is an :
↬ Integer ↬ Rational numberSolution:
Before we make any decisions about the type of number -4/2 is, let's simplify it first.
It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?
______________
Whole numbersThis set incorporates only positive numbers and zero. So -2 doesn't belong here.
IntegersThis set incorporates whole numbers and negative numbers. So -2 belongs here.
RationalsThis set has integers, fractions, and decimals. So -2 does belong here too.
IrrationalsThis is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.
Summary-4/2 belongs in the integer and rationals set.
Hence, Choices B and C are correct.A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by run
constant rate of 8 miles per hour for a minutes, then slows to a constant rate of 7.5 miles per hour for b minute
Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?
The equation for the distance is:
(a/60)*8 mi/min + (b/60)*7.5 mi/min = D
So the correct option is the third one, counting from the top.
Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?
We know that she runs 45 minutes each day, such that she runs at a rate of 8 miles per hour for a minutes, and then runs at 7.5 miles per hour for b minutes.
Now, remember the relation:
speed*time = distance.
Because a and b are in minutes, we need to rewrite the speeds in minutes, remember that there are 60 minutes in one hour, then:
8 mi/h = (1/60) 8mi/min
7.5 mi/h = (1/60)*7.5 mi/min
Then the equation for the distance is:
a*(1/60)* 8 mi/min + b*(1/60)*7.5 mi/min = D
(a/60)*8 mi/min + (b/60)*7.5 mi/min = D
So the correct option is the third one.
If you want to learn more about speed:
https://brainly.com/question/4931057
#SPJ1
A suit sells for one hundred thirty-eight dollars. A store employee bought the suit, using his employee discount of forty-five percent. What was the amount of his discount?
Answer:
$62.10
Step-by-step explanation:
To calculate how much the employee's discount actually was, we just multiply the original price by the discount
Plug the prices in --> 138 x 45/100
Simplify 45/100 --> 9/20
138/1 x 9/20 = 1242/20
1242/20 = 62.1
62.1 = $62.10
and thus, the discount is $62.10
Answer:
$63.10
Step-by-step explanation:
11. Which of the following is the measure of ZQRS?
if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).
The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.
To express this probability as a fraction, we can use the formula:
Probability of winning = 1 / (odds + 1)
Plugging in the given odds, we get:
Probability of winning = 1 / (16 + 1)
Probability of winning = 1/17
In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.
To learn more about probability click on,
https://brainly.com/question/29111123
#SPJ4
Brian is solving the equation x squared minus three-fourths x = 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?
Answer:
Term to add is (3/8)^2 = 9/64
Step-by-step explanation:
Here, we want to know the value that must be added to make the equation a perfect square.
x^2 - 3/4x = 5
x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5
x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2
= (x-3/8)^2 = 5 + (3/8)^2
So the term to add is (3/8)^2 = 9/64
Answer:
\(\dfrac{9}{64}\)
Step-by-step explanation:
Given the equation: \(x^2-\frac{3}{4}x=5\)
To make the left hand side of the equation a perfect trinomial, we follow these steps.
Step 1: Divide the coefficient of x by 2.
Coefficient of x \(=-\frac{3}{4}\)
\(-\frac{3}{4} \div 2 =-\frac{3}{8}\)
Step 2: Square your result from step 1
\(\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}\)
Therefore, to make the Left-Hand side a perfect-square trinomial, we add 9/64.
Find the solution to this equation: 35X - 12 = 58 Hint: Identify the operation furthest from the x. Do the opposite
Okay so the equation is 35x= 58 +12
Write the expression in standard form a+bi: (8-i)/(2+i)
Answer:
The expression (8-i)/(2+i) in standard form is, 3 - 2i
Step-by-step explanation:
The expression is,
(8-i)/(2+i)
writing in standard form,
\((8-i)/(2+i)\\\)
Multiplying and dividing by 2+i,
\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)
Hence we get, in standard form, 3 - 2i
The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:
(8-i)/(2+i) * (2-i)/(2-i)
Using the distributive property, we can expand the numerator and denominator:
(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))
Simplifying further:
(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)
Since i^2 is equal to -1, we can substitute -1 for i^2:
(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))
Combining like terms:
(15 - 10i) / (3 + 4i)
Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
Learn more:About complex numbers here:
https://brainly.com/question/20566728
#SPJ11
Brainliest stars
brandee wants to add new wallpaper to her wall around the
window. the inner light blue rectangle represents the window
and the outer orange rectangle represents the wall around the
window
6 ft
what is the area of the wall around the window, or the orange
rectangle around the blue rectangle?
select the correct number from the drop down menu to show the
area of the wall around the window.
a = 24,60,84,or 108 ft^2
The area of the wall around the window, represented by the orange rectangle, is 84 square feet.
To find the area of the wall around the window, we need to calculate the area of the outer orange rectangle. The dimensions of the orange rectangle are not provided in the question, so we need to determine them based on the given information. We know the width of the window is 6 feet, but the length of the window is not given. Therefore, we cannot directly calculate the dimensions of the orange rectangle.
However, since the orange rectangle surrounds the blue window rectangle, we can assume that the orange rectangle has the same length as the blue rectangle plus twice the width of the blue rectangle. In this case, the length of the orange rectangle would be (6 + 2(6)) = 18 feet. Now we can calculate the area of the orange rectangle by multiplying its length and width: 18 feet * 6 feet = 108 square feet.
However, we are interested in the area of the wall around the window, not the entire orange rectangle. The area of the window, represented by the blue rectangle, needs to be subtracted from the area of the orange rectangle. As the width of the window is 6 feet, and the length is not given, we cannot determine the exact area of the window. Thus, we cannot subtract it from the orange rectangle's area. Therefore, the area of the wall around the window, or the orange rectangle, remains 108 square feet.
Learn more about area here:
https://brainly.com/question/1631786
#SPJ11
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below.On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).Which is the approximate solution for the system of equations x + 5 y = 10 and 3 x + y = 1?(–0.3, 2.1)(–0.3, –2.1)(0.9, –1.8)(0.9, 1.8)
Answer:(–0.3, 2.1)
Step-by-step explanation:The graph shows you the solutions for any pair of lines you care about. So, the problem is to figure out which are the lines you care about.
The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.
The y-intercept is found by setting x=0 and solving for y:
x +5y = 10
0 + 5y = 10
y = 10/5 = 2
3x +y = 1
3·0 +y = 1
y = 1
The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply:
(–0.3, 2.1)
Answer:
A. 4 x - 5 y = - 5 and 3 x + 10 y = - 20
Step-by-step explanation:
if not im sorry
you are instructed to subtract four points from each score, square the resulting value, and find the sum of the squared numbers. how would this set of instructions be expressed in summation notation?
The summation is Σ(xᵢ-4)², i=1,2,3...
What is summation ?
When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total. Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labelled "+" is defined can all be added together, in addition to numbers.
Series are summations of infinite sequences. They are related to the idea of limit but are not covered in this article.
Let x serve as the definition of a score.
Each score will be xi, i.e. x1, x2, x3, x4... for the first four consecutive scores, and so on.
By deducting 4 from each score, you get xi-4.
Squaring the Resulting Value = (xi-4)²
The sum of the squared numbers is equal to (xi-4)²
where i=1, 2, 3.
Σ(xᵢ-4), The set of instructions written in summation notation is 2.
Learn more about summation, by the following link.
https://brainly.com/question/542712
#SPJ4
Σ(xᵢ-4)² is the set of instruction expressed in summation notation.
What is Summation Notation?
The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.
Let a score be defined by x,
Each score will be xᵢ i.e. x₁, x₂, x₃, x₄... for the first four consecutive scores and so on.
Subtracting 4 from each score = xᵢ-4
Squaring the Resulting Value = (xᵢ-4)²
The sum of the squared numbers = Σ(xᵢ-4)², i=1,2,3...
Σ(xᵢ-4)² is the set of instruction expressed in summation notation.
To know more about summation notation visit,
https://brainly.com/question/26243301
#SPJ4
Evaluate -0.4+0.35x when x=38.2
Answer:
12.97.
Step-by-step explanation:
That is -0.4 + 0.35*38.2
= -0.4 + 13.37
= 12.97.
the mean corporation operates out of two major cities, city a and city b. it has a head office for each city and each office has thousands of employees. a computer competency exam is administered to all staff in each head office and the results are recorded. the ceo decides that he would like to compare the performance of the two offices. he labels the two groups of staff city a and city b and looks at their distribution of scores.The CEO is told that both City A and City B have the same mean score. However, City A is ____consistent than City B because the standard deviation for City A is _____ than the standard deviation for City B.
Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.
Define standard deviation.Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.
Here,
It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."
If City A is more reliable than City B, then City A will have a lower standard deviation.
A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.
So, the appropriate answer is:
The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.
To know more about standard deviation visit :-
brainly.com/question/13673183
#SPJ4
Angle ABD is 90 what is the measure of ABC
Answer:
90 I am guessing. if it's like a square or rectangle
Dylan gets home from school at 4:05 p.m. He spends 20 minutes on his homework and 15 minutes practicing the drums. How many minutes does he have left before leaving for soccer practice at 5:15 p.m.?
Answer:
35 minutes
Step-by-step explanation:
Dylan gets home at 4:05pm
spends 20 minutes on his homework
4:05+20 min=4:25
spends 15 minutes practicing the drums.
4:25+15 min=4:40
Now, how many minutes does he have left before leaving for soccer practice at 5:15 pm
5:15-4:40=35 min
we cant find 15-40 because it gives negative number so we take 1 from 5 that made 15 became
15+60=75 min
then 75-40=35min
of course 4-4=0 hours
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
Answer:
14.5
Step-by-step explanation:
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)
10 + (6)2 / 4 * (1.5)
10 + 12 / 4 * 1.5
10 + 3 * 1.5
10 + 4.5
14.5
Answer:
20.5
Step-by-step explanation:
10 + 12 ÷ 4 x 7/2
10 + 3 x 7/2
10 + 21/2
10 + 10.5
20.5
Please help answer these for 30 points pls
Answer:
please name the chapter
A 38 oz jug of orange juice may not contain exactly 38 oz of juice. the possibility of measurement error exists when The jug is filled in the factory. if the maximum measurement error is -+ 0.03 oz write an absolute value inequality representing the range of volumes, x, in which the orange juice jug may be filled.The absolute value inequality is
The volume of the jug = 38 fluid oz
Maximum error = ±0.03
This means that the volume of juice that can be contained by the jug will range between (38-0.03) and (38+0.03)
The absolute value inequality representing the range of volumes, x, in which the orange juice may be filled is therefore:
\(|x\text{ -38| }\leq\text{ 0.03}\)Shirley is building a shed. The length is 2x + 3 feet long and the width is x + 1 feet long
1) what is the perimeter of the shed
2) what is the area of the shed
Please help I really want to go to sleep please I can’t handle it anymore
The perimeter of shed is, (6x+ 4)
The area of the shed is, (2x² + 5x + 3)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
Shirley is building a shed. The length is 2x + 3 feet long and the width is
x + 1 feet long.
Now, We know that;
The perimeter of rectangle = 2 (Length + Width)
Substitute all the values, we get;
⇒ Perimeter = 2 (2x + 1 + x + 1)
⇒ Perimeter = 2 (3x + 2)
⇒ Perimeter = (6x + 4)
And, Area of rectangle = Length × Width
Substitute all the values , we get;
⇒ Area = (2x + 3) × (x + 1)
⇒ Area = (2x² + 2x + 3x + 3)
⇒ Area = (2x² + 5x + 3)
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
How many reflectional symmetries does the regular hexagon have?
A hexagon will have 6 reflectional symmetries.
If testing shows that there is less than a chance the results were random, the study is considered _____.
If testing shows that there is less than a 5% chance the results were random, the study is considered statistically significant.
In statistical hypothesis testing, researchers often set a significance level, denoted as α (alpha), which is typically 0.05 or 5%. This significance level represents the threshold below which the researchers consider the results to be statistically significant. If the p-value, which is a measure of the evidence against the null hypothesis, is less than the chosen significance level, it indicates that the results are unlikely to have occurred by chance alone.
When testing shows that there is less than a 5% chance (or any chosen significance level) that the results were random, the study is considered statistically significant. This means that the observed data provides evidence to reject the null hypothesis in favor of the alternative hypothesis. The results are deemed significant because the probability of obtaining such extreme or more extreme results under the assumption of randomness is very low.
Statistical significance is an important criterion in research as it helps researchers draw valid conclusions and make inferences from their data. However, it is essential to note that statistical significance does not imply practical significance or the magnitude of the effect observed. Additional considerations, such as effect size and contextual relevance, are necessary to fully interpret the implications of a statistically significant result in practical terms.
Learn more about null hypothesis here:
brainly.com/question/29387900
#SPJ11