To solve this problem, we need to use the z-score formula to convert the given values to standard units. This will allow us to use the normal distribution table to find the percentage of pregnancies that fall within a certain range of lengths.
First, let's find the z-score for a pregnancy lasting more than 274 days:
z = (274 - 266) / 16 = 0.5
Next, let's use the normal distribution table to find the percentage of pregnancies that are longer than 274 days. Since the z-score we calculated is positive, we need to look in the right tail of the distribution. From the table, we find that the percentage of pregnancies that are longer than 274 days is approximately 30.85%.
Now let's find the z-score for a pregnancy lasting less than 246 days:
z = (246 - 266) / 16 = -1.25
To find the percentage of pregnancies that are shorter than 246 days, we need to look in the left tail of the distribution. From the table, we find that the percentage of pregnancies that are shorter than 246 days is approximately 8.38%.
Therefore, the percentage of children that are born from pregnancies lasting more than 274 days is approximately 30.85%, and the percentage of children that are born from pregnancies lasting less than 246 days is approximately 8.38%.
To find the percentage of children who are born from pregnancies lasting more than 274 days or less than 246 days, we need to use the z-score formula to convert the lengths of pregnancies to standard units and the standard normal distribution to find the percentage of children who fall within the given range of pregnancy lengths.
The z-score formula is:
z = (x - mu) / sigma
where z is the z-score, x is the raw score, mu is the mean, and sigma is the standard deviation.
In this case, we are given that mu = 266 days and sigma = 16 days. We can use this information to find the z-score for the lower and upper bounds of the pregnancy length range, 246 days and 274 days, respectively.
For the lower bound of the pregnancy length range, we have:
z = (246 - 266) / 16
= -20 / 16
= -1.25
For the upper bound of the pregnancy length range, we have:
z = (274 - 266) / 16
= 8 / 16
= 0.5
Now we can use the standard normal distribution to find the percentage of children who have a z-score between -1.25 and 0.5. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1, so the percentage of children who fall within the given pregnancy length range is the same as the percentage of children who have a z-score within this range.
To find the percentage of children who have a z-score between -1.25 and 0.5, we can use a standard normal distribution table to look up the z-scores and find the corresponding probabilities. The standard normal distribution table shows the percentage of values that fall within a given range of z-scores, so to find the percentage of children who have a z-score between -1.25 and 0.5, we need to look up the percentage of values that fall within this range.
According to the standard normal distribution table, the percentage of values that fall within the range of z-scores -1.25 to 0.5 is approximately 0.38. Therefore, the percentage of children who are born from pregnancies lasting more than 274 days or less than 246 days is approximately 38%, to the nearest hundredth.
Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v? a. –68 b. –60 c. 0 d. 32
The value of u.v is 32.
What are vectors?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given are two vectors, u = ⟨2, –8⟩ and v = ⟨8, –2⟩,
We know, x.y = x₁.x₂+y₁+y₂
Therefore, u.v = 2×8+(-2)(-8)
= 16+16
= 32
Hence, The value of u.v is 32.
For more references on vectors, click;
https://brainly.com/question/29740341
#SPJ1
Persevere with Problems Suppose an online store has an item that costs $50. The item is on sale for 10% off the original price.
In one well-developed paragraph with a topic sentence and supporting details, compare and contrast the experience of reading "The Highwayman" with listening to it. Explain, using examples from the text, how hearing the poem read aloud changes or increases your understanding of a poem.
Solve using the FOIL method
1. (x - 2)(x + 8)
2. (x + 6)(x - 12)
3. (x + 9)(x + 4)
4. (x + 6)(x + 2)
5. (x + 6)(x + 9)
6. (x - 4)(x + 5)
7. (x + 3)(x - 3)
8. (x + 10)(x + 10)
9. (x - 3)(x + 12)
10. (x + 4)(x - 3)
11. (x + 5)(x + 2)
12. (x - 3)(x - 4)
13. (x + 8)(x - 8)
14. (x -6)(x+3)
15. (x + 1)(x - 5)
Using the FOIL method, the products are:
1. x² + 6x - 16
2. x² - 6x - 72
3. x² + 13x + 36
4. x² + 8x + 12
5. x² + 15x + 54
6. x² + x - 20
7. x² - 9
8. x² + 20x + 100
9. x² + 9x - 36
10. x² + x - 12
11. x² + 7x + 10
12. x² - 7x + 12
What is the FOIL Method?The FOIL method is an acronym that stands for "First, Outside, Inside, and Last". This method simply describes the order you use in multiplying the terms of a given expression, that is, you have to multiply first terms, then outside terms, then inside terms, then last terms. The final step is to combine like terms together to arrive at your final answer.
Therefore, using the FOIL method, we have the following products:
1. (x - 2)(x + 8)
x² + 8x -2x - 16
Combine like terms
x² + 6x - 16
2. (x + 6)(x - 12)
x² - 12x + 6x - 72
Combine like terms
x² - 6x - 72
3. (x + 9)(x + 4)
x² + 4x + 9x + 36
x² + 13x + 36
4. (x + 6)(x + 2)
x² + 2x + 6x + 12
Combine like terms
x² + 8x + 12
5. (x + 6)(x + 9)
x² + 9x + 6x + 54
Combine like terms
x² + 15x + 54
6. (x - 4)(x + 5)
x² + 5x - 4x - 20
x² + x - 20
7. (x + 3)(x - 3)
x² - 3x + 3x - 9
x² - 9
8. (x + 10)(x + 10)
x² + 10x + 10x + 100
x² + 20x + 100
9. (x - 3)(x + 12)
x² + 12x - 3x - 36
x² + 9x - 36
10. (x + 4)(x - 3)
x² - 3x + 4x - 12
x² + x - 12
11. (x + 5)(x + 2)
x² + 2x + 5x + 10
x² + 7x + 10
12. (x - 3)(x - 4)
x² - 4x - 3x + 12
x² - 7x + 12
Learn more about the FOIL method on:
https://brainly.com/question/4053601
#SPJ1
in a lottery game, a player picks 6 numbers from 1 to 46. how many different choices does the player have if order doesn't matter?
In a lottery game, if a player picks 6 numbers then the total 9366819 different choices player have if order doesn't matter.
What is Combination ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, regardless of the order of selection. Formula is
ⁿCᵣ = n! /r!(n-r)!
where n is total number of objects
r is total number of choosing objects
We have given that,
In a lottery game total number = 46 = { 1,2,...., 46}
A player can pick total number = 6 numbers
We have to calculate different choices does the player have if order doesn't matter.
Using Combination formula,
we have , n = 46 , r = 6
⁴⁶C₆ = 46!/6!(40!)
=> ⁴⁶C₆ = 46×45×44×43×42×41×40!/40!(6!)
= 46×45×44×43×42×41 /(6×5×4×3×2×1)
= 23×3×7×11×43×41
= 9366819
Hence, the required ways are 9366819..
To learn more about Combination formula, refer:
https://brainly.com/question/11732255
#SPJ4
A survey of 18 showed seven liked football, 10 liked basketball, and five liked both. How many students like neither football nor basketball?
A. 10
B. 6
C. 12
D. 2
Answer: B. 6
Step-by-step explanation:
I think 6 because it says seven liked football and 10 liked basketball, so 1 didn't pick.
We also know that 5 like both and 1 didn't pick, so 1 + 5 = 6 students
the number of miles mario can drive varies directly with the amount of gas that he has. he can drive 18 miles on ½ a gallon of gas. how many miles can mario drive with 9 gallons of gas?
324 miles can Mario drive with 9 gallons of gas.
ProportionalThe term "proportional" refers to any connection where the ratio and amount fluctuate directly with one another.
As per the details share in the above question we get,
The data are as follow,
Mario has a driving range of 18 miles ½ gallon of gas.
Here we have to find how many miles can mario drive with 9 gallons of gas.
Thus we know that,
He can travel 18 miles on just half a gallon of fuel.
Let x be the amount of miles that 9 gallons of gas will cover.
Thus, if we use the notion of proportion, we obtain
⇒ 18 / (1/2) = x / 9
⇒ 18 × 2 = x / 9
⇒ 36 × 9 = x
⇒ x = 324 miles
Mario can travel 324 miles on 9 gallons of gas.
Learn more about the proportion visit:
https://brainly.com/question/18437927
#SPJ4
Ryan invested \$4,800$4,800 in an account in the year 1990, and the value has been growing exponentially at a constant rate. The value of the account reached \$6,300$6,300 in the year 1998. Determine the value of the account, to the nearest dollar, in the year 2007.
The value of the account to the nearest dollar in 2007 is $6,929.76
How to determine the value of an account?We should know that value is the amount left in an account at a particular time
The given parameters are
In 1990 the value is = $4,800.
In 1998, the value is =$6,300
From 1990 to 1998 there are 8 years
Increase in the investment
Using simple interest,
SI= (P*T*R)÷100
Applying the figures in the formula
1500=(4800*8*R)÷100
⇒ 15000=30400R
Making R the subject we have
R= 4.93%
⇒ 4.93% of 4800 *9 = $2129.76
Add initial cost of investment and the interest for 9 years
=$(4800+2129.76)
=$6929.73
In conclusion, the value of the account would on the $6929.76
Learn more about simple interest on https://brainly.com/question/25845758
#SPJ1
there are 20 people at a chess club on a certain day. they each find opponents and start playing. how many possibilities are there for how they are matched up, assuming that in each game it does matter who has the white pieces
The total number of possibilities for matching up players, assuming that in each game it does matter who has the white pieces, is 670442572800.
A permutation is a mathematical way of an arrangement of objects in a particular way or order. We have, there is total 20 people at chess club on a particular day. Now, these 20 people divided into two groups each find opponents and start playing. There are 10 games in total. Let's say the first player in line plays with the white pieces in the first game. The second person in line plays with the black pieces in the first game. The third person plays with the white pieces in game two. The fourth person plays with the black pieces in game two, and so on. There are 20 of them! ways to do it. But we have to remember that the order of the games doesn't matter, so we have to divide this number by 10! , i.e, number of game permutations . Therefore, the total number of possible arrangement is,
20!/10! = 20×19×---×10!/10! = 20× 19×--× 11
= 670442572800.
Hence, required possibilities is 670442572800.
To learn more about possible arrangements refer:
https://brainly.com/question/2396043
#SPJ4
Complete question:
There are 20 people at a chess club on a certain day. They each find opponents and start playing. How many possibilities are there for how they are matched up, assuming that in each game it does matter who has the white pieces (in a chess game, one player has the white pieces and the other player has the black pieces)?
What are the types of angles based on their size? How do you classify an angle as acute, right, obtuse, or straight? Give an example of each.
Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles.
A triangle is scalene if all of its three sides and angles are differentScalene-Triangle-1
In the figure, all three symbols that are given on each side are different, which denotes that all three sides are unequal.
If two of its sides are equal, a triangle is called an isosceles.One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.
A triangle with all three equal sides is called equilateral.The sum of all three angles of an equilateral triangle is equal to 180 degrees. 60° + 60° + 60° = 180°
Acute angles measure less than 90 degrees.the examples of acute angles are 25°, 36°, 47°, 64°, 55°, 72°, 80° and so on
Right angles measure 90 degrees.Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows, and at several other places.
Obtuse angles measure more than 90 degreesExamples of obtuse angles include 166°, 121°, 110°, 117°, and 91°.
To know more about Types of triangles:
https://brainly.com/question/1058720
#SPJ4
Solve equation by using the quadratic formula. 8 x squared - 3 x = 5 a. x = startfraction 8 over 5 endfraction, negative 1 b. x = startfraction 8 over 5 endfraction, 1 c. x = startfraction 8 over 5 endfraction, 0 d. x = startfraction 5 over 8 endfraction, negative 1
The solutions to the quadratic equation 8x² - 3x = 5 are x = 1 and x = -5/8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
8 x squared - 3 x = 5
Express properly
So, we have
8x² - 3x = 5
This gives
8x² - 3x - 5 = 0
The quadratic formula is represented as
x = (-b ± √[b² - 4ac])/2a
Substitute the known values in the above equation, so, we have the following representation
x = (3 ± √[(-3)² - 4 * 8 * -5])/(2 * 8)
Evaluate
x = (3 ± √169)/16
So, we have
x = (3 ± 13)/16
Expand
x = (3 + 13)/16 and x = (3- 13)/16
Evaluate
x = 1 and x = -5/8
Hence, the solution is x = 1 and x = -5/8
Read more about quadratic equation at
https://brainly.com/question/1214333
#SPJ1
Which graph is it? I need the geniuses of this platform to help me.
Please help me respond this
27 is the percentile score of 71 on this test score and 71 is the score of victor.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}[/tex]
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60 th percentile.
[tex]R_{100} =\frac{100(N < )+\frac{1}{2}N }{N}[/tex]
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
To learn more on Statistics click:
brainly.com/question/29342780
#SPJ1
A bag contains 120 marbles. Some are red and rest are black. There are 19 red marbles for
every black marble.How many red marbles are in the bag?
Answer: 114 red marbles
Step-by-step explanation:
We know that for every 20 marbles, there are 19 red and 1 black marble.
So to get from 20 to 120, we multiply by 6. So we take 19 times 6 = 114 red marbles and 6 black marbles,
Can someone help me with Question 2b of this assignment? I'd deeply appreciate it! :)
Value of x is -6
According to question
(x/2)-6 = 2+(2x+1)
⇒x-12/2 = 3+2x
⇒x-12=2(3+2x)
⇒x-12=6+4x
⇒-3x=18
⇒x=18/-3
∴x=-6
The value of x is -6.
For further information related linear equation in one variable
https://brainly.com/question/24794429
Answer:
x = - 6
Step-by-step explanation:
(b)
[tex]\frac{1}{2}[/tex] x - 6 = 2 + (2x + 1) ← remove parenthesis
[tex]\frac{1}{2}[/tex] x - 6 = 2 + 2x + 1
[tex]\frac{1}{2}[/tex] x - 6 = 2x + 3 ( add 6 to both sides )
[tex]\frac{1}{2}[/tex] x = 2x + 9 ( multiply through by 2 to clear the fraction )
x = 4x + 18 ( subtract 4x from both sides )
- 3x = 18 ( divide both sides by - 3 )
x = - 6
what is the answer to 5x + 3 = 22
Answer: The correct answer is x = 19 / 5
Step-by-step explanation:
Solve the equation
5x + 3 = 22
Subtract 3 from both sides
5x + 3 − 3 = 22 − 3
5x = 19
Divide both sides by 5
5x/5 = 19/5
x = 19 / 5
Amadou bought a pair of sunglasses online for $60. He used a coupon code to get a 40% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
A total discount of $18.6 and 1860 cents is availed by Amadou in buying pair of sunglasses after the final step of processing charge.
Given the intital price as $60 i.e cost price
given he had a coupon code to get discount of 40%
so after apply discount the price of pair of sunglasses is [tex]\frac{100-40}{100} *60[/tex]
=> 0.6 *60
=>36
so the current price of pair of sunglasses is $36
now we need to apply 15% processing fee after the discount so the current price of pair of sunglasses will increase from previous value and is given by:
[tex]36 + \frac{15}{100} *36[/tex]
=>36 + 5.4
=> 41.4
so the final price of pair of sunglasses is $ 41.4
Total discount = initial price - final price
=> 60- 41.4
=> $18.6
$1 = 100 cents
so total discount = 18.6 *100 = 1860 cents
To know more about cost price click on below link:
https://brainly.com/question/29511226#
#SPJ4
a lily pad, in a pond, doubles in size every day. on the 20th day, it covers the entire pond. on what day did it cover half the pond?
On the 19th day, the lily pad covered half the pond.
The reason behind this is, If the lily pad doubles in size every day, then on the 20th day it will be twice as large as it was on the 19th day. That means it was already covering half the pond on the 19th day.
In this puzzle, the water lily is described as doubling in size every day. This means that on the first day, the lily pad is small, but by the second day, it has doubled in size. On the third day, it doubled in size again, and so on. By the 20th day, the lily pad has grown so large that it covers the entire pond.
Learn more about such Puzzles here:
https://brainly.com/question/28994707
#SPJ4
If the simple interest on $1,000 for 6 years is $300, then what is the interest rate?
The rate is ___ %
PLEASE HELP!!!
Answer: 30%
Step-by-step explanation:
First, take 300 divided by 1000, then times 100% = 30% for 6 years
If you want to find the rate for each year
The take 30% divided by 6
You get 5% each year
how can graphics and/or statistics be used to misrepresent data? where have you seen this done?
(1) We incorrectly interpret the beta number, compare the two, and draw the inference that because the beta for years is greater than the beta for income, the beta for years of experience is stronger.
(2) The ANOVA will reveal who consistently does better in terms of the typical amount of time needed to finish a job.
1) Assume you predicted the variable "Number of Promotion Earned" by regressing it against just two other variables, "Income in $s" and "Years of Experience."
When compared to the beta for years of experience, the income beta is quite modest. You incorrectly interpret the beta number, compare the two, and draw the inference that because the beta for years is greater than the beta for income, the beta for years of experience is stronger.
But until we standardize the variables, this is incorrect. Then they can be put side by side.
2) As HR, I was questioned about whether employees who earn more money perform better. Do those with higher salaries complete the same task more quickly? I've been given data with two columns: "HIGH" salary people's income, and "LOW" salary people's income.
I conduct an ANOVA method test on two groups of individuals and track their typical completion time. The ANOVA will reveal who consistently does better in terms of the typical amount of time needed to finish a job.
To learn more about ANOVA method test link is here
brainly.com/question/29663636
#SPJ4
The complete question is:
First, how can graphics and/or statistics be used to misrepresent data? Where have you seen this done? Second, image that you are a human resources (HR) analyst reporting to a recently hired supervisor. Your supervisor has asked you to provide an example of data processed by HR. Describe one type of data that an HR department may process, and discuss a corresponding statistical method that may be used to summarize the data.
Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely 13−−√ units long from the star to another grid point. The dots are one unit apart. Using right triangles to determine the distance, how many different lines could Mr. Johnson’s students create without going off the paper?
The distance between the two given points is 13 units.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The Pythagorean theorem is given by the following formula:
h² = a² + b²
Where h is the hypotenuse and a and b are the legs of the right triangle.
In the given image, when you construct a right triangle with the line of the two points as a hypotenuse, you have for a and b:
a = 5
b = 12
Replace the previous values of a and b in the formula for h:
h² = (5)² + (12)²
h² = 25 + 144
h² = 169
h = √169
h = 13
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ1
Given the equation Y=2/3x+7
What is the y-intercept value and how do you graph it?
What is the slope value and how do you graph it?
Answer:
y-int. is (0,7) and slope is 2/3
just repeat the points 3 times
the test for the equality of two population variances is based on group of answer choices the difference between the 2 population variances. the difference between the sample variances divided by the difference between the sample means. the ratio of the 2 sample variances. the difference between the 2 sample variances.
This ratio is used to compare the variances of the two samples and determine if they are statistically equal.
The test for the equality of two population variances is a statistical test used to determine whether or not the variances of two populations are equal. This test is based on the ratio of the two sample variances, which is calculated by dividing the difference between the two sample variances by the difference between the two sample means. This ratio is then compared to the value of a critical statistic to determine whether or not the two population variances are statistically equal. If the ratio is greater than or equal to the critical statistic, then the two population variances are considered equal. If the ratio is less than the critical statistic, then the two population variances are considered unequal. This test is useful for determining if the two populations have similar amounts of variation or if one population has more variation than the other.
Learn more about variance here
https://brainly.com/question/13708253
#SPJ4
Jack ee 7 bue. Each bu ha 10 people on it. Which number entence can be ued to find how many people are on all the bue?
The number sentence to find how many people are on all the buses is 7 x10 = ?. (Option C)
A number sentence refers to an equation or inequality which expresses using numbers and mathematical symbols. Examples of number sentences include 32 + 57 = ? or 5 x 6 = ?. In the given situation, Jack sees 7 buses and each bus has 10 people on it. In order to determine the total number of buses on all the buses, multiplication operation is used. Multiplication, one of the four basic mathematical operations of arithmetic, refers to an operation that represents the basic idea of repeated addition of the same number. Hence, it is used to combine groups of equal sizes. As in the given case, the group of equal size i.e., the number of people on each bus is seen in 7 buses, the total number of people would be the product of two and would be represented by 7 x10 = ?.
Note: The question is incomplete. The complete question probably is: Jack sees 7 buses. Each bus has 10 people on it. Which number sentence can be used to find how many people are on all the buses? A. 7 + 10 = ? B. 10 – 7 = ? C. 7 x10 = ? D. 10 ÷ 7 = ?
Learn more about Number sentence:
https://brainly.com/question/11560430
#SPJ4
Gives brainliest for best answer and easy to understand!
Answer: the right answer is D
Step-by-step explanation:
If you multiply 4 by 2 you get 8. If this goes on the answers are aways the same and it’s going to be proportional
Which division problem is represented with this model?
A:1/5÷2
B:1/6÷2
C:1/2÷5
D:1/5÷6
15 POINTS
The division represented by the model is:
B:1/6÷2
Which division is represented by the model?First, we can see a square that is divided into 6 strips, and one of these strips (actually half of it) is shaded, so we can start by writing:
1/6
Now, notice that only half of the strip is shaded, so we need to divide again by 2, then we will get the division:
(1/6)/2
That is the division represented by the model. So the correct option is B
Learn more about division by reading at:
https://brainly.com/question/25289437
#SPJ1
The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space. The students want to plant some of each type of plant and have at least 60 plants.
Select all of the equations or inequalities that could describe this situation. Let c represent the number of cucumber plants and t represent the number of tomato plants.
Answer:
There are several equations or inequalities that could describe this situation. Here are a few examples:
- The total number of plants cannot exceed 60: c + t ≤ 60
- The total number of plants must be at least 60: c + t ≥ 60
- The total amount of growing space must not exceed 300 square feet: 6c + 4t ≤ 300
- The total amount of growing space must be at least 300 square feet: 6c + 4t ≥ 300
Step-by-step explanation:
Any equation or inequality that accurately represents the given constraints on the number and types of plants, and the amount of growing space available, could be used to describe this situation.
Rob and Ahab are in Las Vegas for vacation. They get a taxi to drive
them around town. The taxi charges a flat fee of $5.00 plus $1.25 per
mile of traveling. They want to spend less than $45.00 for their taxi
fare.
Write an inequality to represent this situation. Use x for the variable.
The inequality to represent this situation is 5 + 1.25x < 45.
How to use inequality to represent a situation?Rob and Ahab are in Las Vegas for vacation. They get a taxi to drive
them around town. The taxi charges a flat fee of $5.00 plus $1.25 per
mile of traveling. They want to spend less than $45.00 for their taxi
fare. The inequality to represent the situation is as follows:
let
x = number of miles
Therefore, the inequality is as follows:
5 + 1.25x < 45
learn more on inequality here: https://brainly.com/question/25814320
#SPJ1
A eed company planted a floral moaic of a national flag. The perimeter of the flag i 2,320 Determine the flag' width and length if the length i 260 ft greater than the width
By solving the system of equation, length of flag = 1290ft and width = 1030 ft.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically consists of two expressions separated by an equals sign (=), and it states that the expressions are equal in value.
What is substitution method of equation solving?The substitution method is a technique for solving a system of equations, which is a set of two or more equations that contain multiple variables. The goal of the substitution method is to find the values of the variables that make all of the equations in the system true simultaneously.
To solve a system of equations using the substitution method, you follow these steps:
Identify one of the equations that contains only one variable.
Solve that equation for that variable.
Substitute the expression you found for the variable into the other equation(s) in the system.
Solve the resulting equation(s) for the remaining variable(s).
Substitute the values you found for the variables back into one of the original equations to check your solutions.
To find the width and length of the flag, we can set up the following system of equations:
width + length = 2,320
length = width + 260
We can solve this system of equations by substitution. First, we can solve for width in the second equation by subtracting 260 from both sides:
length - 260 = width
Then, we can substitute this expression for width into the first equation:
(length - 260) + length = 2,320
2 * length - 260 = 2,320
2 * length = 2,580
length = 1,290
Now that we know the value of length, we can substitute it back into the second equation to find the value of width:
length = width + 260
1,290 = width + 260
width = 1,030
To learn more about equations visit:
https://brainly.com/question/29657983
#SPJ4
Help me please thank you.
Answer:
angle 3 = 44 degrees
angle 2 = 136 degrees
angle 4 = 136 degrees
Step-by-step explanation:
angle 2 = angle 4
angle 1 = angle 3
angle 1 + angle 2 = 180 degrees
angle 3 + angle 4 = 180 degrees
My friend and I have different calling plan. Mine ha a monthly fee of $20 and $0. 08 per minute charge. My friend pay $0. 04 a minute and a $25 monthly cutomer fee
By applying the concept of algebra, it can be concluded that the two cost plans will be the same after 125 minutes.
The use of algebra in everyday life.
Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve a mathematical problem. In everyday life, algebra is often used for financial planning, plan or scheme comparison, and so on.
In the given problem, we are asked to compare the two calling plans.
Let's say the total cost for the first plan is P1, then:
P1 = monthly fee + total cost per minute
= 20 + (0.08 x number of minutes)
The total cost for the second plan is P2, then:
P2 = monthly fee + total cost per minute
= 25 + (0.04 x number of minutes)
Let's say the two total costs become equal after x minutes, then we can equate the two expressions given above as follows:
20 + 0.08x = 25 + 0.04x
0.08x - 0.04x = 25 - 20
0.04x = 5
x = 5 : 0.04
= 125 minutes
To learn more about the simple concept of algebra, click here: https://brainly.com/question/4344214
#SPJ4