This article would be best suited to a text structure of Problem and Solution.
Explain the pattern of the text structure?The hierarchical patterns used in longer or more complicated texts that are acceptable for the genre as well as purpose are known as text structures. A few examples of text structures are sequence/process, exposition, time order/chronology, provision, compare/contrast, issue, cause/effect, inductive/deductive, and research.Research on the development of literacy during the previous two decades has revealed:
a) Students' understanding as to what they read is improved when they are aware of the various text structures including their purposes.b) Before other, more intricate forms, some set of defined are simpler to understand and learn.A literary device that introduces a problem in the first paragraph and section before moving on to how to solve it in the following paragraph or section.
Example:
The opening paragraph raises the issue of local landfills being overfilled. The next sentence gives information about a recycling program created to address the problem.To know more about the text structure, here
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passes through the points (-2,-9) and (4, -6)
y=1/2x-8 is the equation of line passing through points (-2,-9) and (4, -6) is
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The points are (-2,-9) and (4, -6)
Slope=-6+9/4+2
=3/6=1/2
Let us find the y intercept by the point (-2, -9)
-9=1/2(-2)+b
-9=-1+b
-9+1=b
-8=b
Hence, the equation of line passing through points (-2,-9) and (4, -6) is y=1/2x-8.
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A vote for the Best Dancer of the Year was held last week. Patricio received 65% of the votes. A total of 80 people voted. How many votes did Patricio receive?
The number of Patricio votes is 52
How to determine the number of Patricio votes?From the question, we have the following parameters that can be used in our computation:
Number of people = 80
Proportion of votes = 65%
The number of Patricio votes is then calculated as
The number of Patricio votes = Proportion of votes * Number of people
Substitute the known values in the above equation, so, we have the following representation
The number of Patricio votes = 65% * 80
Evaluate
The number of Patricio votes = 52
Hence, the votes is 52
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find the z-score for the value 62, when the mean is 79 and the standard deviation is 4.
The z-score of the value 62 in the distribution is -4.25
How to determine the z-score of the value?From the question, the given parameters about the distribution are
Mean value of the set of data = 79
Standard deviation value of the set of data = 4
The actual data value = 62
The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the known values in the above equation, so, we have the following representation
z = (62 - 79)/4
Evaluate the difference
z = -17/4
Evaluate the quotient
z = -4.25
Hence, the z-score is -4.25
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What are the vertex and range of y = |2x 6| 2? (0, 2); 2 < y < [infinity] (0, 2); −[infinity] ≤ y < [infinity] (−3, 2); 2 < y < [infinity] (−3, 2); −[infinity] ≤ y < [infinity]
The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.
Given that,
The function is y=|2x+6|+3
We have to find the vertex and range.
We know that,
What is function?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. This special sort of relationship is what it is called.
So,
|2x+6|=0
2x=-6
x=-6/2
x=-3
Now,
y=|2(-3)+6|+3
y=|-6+6|+3
y=3
The vertex is (-3,3)
Therefore, The vertex of the function is (-3,3) when the function is y=|2x+6|+3 and the range is -∞<y<∞.
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7/15 * (9/-28)...pls answer fast!!,step by step explanation plsssssssssss
The value of the fraction 7/15 * (9/-28) is - 3/20.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction. The value will be:
= 7/15 * (9/-28)
= -63 / 420
= -3/20
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Which number line shows the solution to the inequality -2(3x - 1) < 8?
Answer: B
Step-by-step explanation:
1. multiply (-3x+1) by -2 to get -6x+2 -> -6x+2<8
2. then subtract 2 from both sides, -6x+2 -2 < 8 -2 -> -6x<6
3. divide both sides by -6, when dividing an inequality, the inequality symbol switches so you'd have x > -1
so the answer would be B
Question 20
A rectangular courtyard has a cement walkway around its perimeter. The area of the courtyard can be represented by the expression 24(5x - 1).
The area of the cement walkway can be represented by the expression 32(5x-1 + 8)- 24(5x-1). Write an equivalent expression that
represents the area of the cement walkway.square yards
Answer:
Step-by-step explanation:
The area of the courtyard is given by the expression 24(5x - 1), and the area of the cement walkway is given by the expression 32(5x-1 + 8)- 24(5x-1). To find an equivalent expression for the area of the cement walkway, we can first distribute the 32 and the 24 in the second expression to get:
Area of cement walkway = 32 * (5x-1 + 8) - 24 * (5x-1)
= 32 * 5x-32 - 24 * 5x+24 + 32 * 8 - 24
= 160x-1024 - 120x+576 + 256 - 24
= 40x-448 + 256 - 24
= 40x-192
Therefore, an equivalent expression for the area of the cement walkway is 40x - 192. This expression represents the area of the cement walkway in square yards.
Jay has an album that holds 500 stamps. Each page of the album holds 5 stamps. If 21% of the album is empt, how many pages are filled with stamps?
Answer: 79 pages
Step-by-step explanation:
100% - 21% = 79%
So we know that Jay has 79% of the stamps
79% = 0.79
Take 500 times 0.79 = 395 stamps
Then we take 395 divided by 5 = 79 pages
So, 79 pages are filled with stamps
Read the following statement: If meX = mY and mY = meZ, then m2X = m Z. This statement demonstrates:
the substition property.
the refexive property.
the symmetric property.
the transitive property.
If meX = mY and mY = meZ, then meX = meZ. This statement demonstrates
the transitive property.What is transitive property?According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.
For the given problem, if meX = mY and mY = meZ, then meX = meZ
The two properties that are equal is meX and mY
since mY is also equal to meZ then transitive property says that meX and meZ are still equal
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2x2x2x3x3 = ?⁵
does this work or not?
Why?
Simplify the expression.
-2.2+0.4f-14-6
Simplify your answer. Use integers or decimals for any numbers in the expression
After solving the given expression, the value of obtained for f is equal to 55.5.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given information in the question,
The given expression is,
-2.2 + 0.4f - 14 - 6
-2.2 + 0.4f - 20
0.4f - 22.2
0.4f = 22.2
f = 22.2/0.4
f = 55.5
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I can really use some help anyone?
The linear inequality to represent the number of seashell is w ≥ 14 and the graph is attached below
Linear InequalityLinear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.
In this problem, Ernest needs at least 14 seashells and he plans to glue 30 seashells on the wall.
An inequality to represent this will be
w ≥ 14
The reason why we are using greater than or equal to sign in this problem is that we need "at least" 14 seashells or more than seashells on the wall.
b)
Kindly find attached below the inequality below.
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g about anova assumptions, which of the following is wrong? group of answer choices samples are selected independently. each population is normally distributed. the variances in the groups are random. samples are randomly selected.
The Anova assumptions are each population is normally distributed and the Types of Assumptions. Brookfield (1995) classifies assumptions into 3 categories: paradigmatic, prescriptive, and causal.
ANOVA assumes that the information is usually distributed. The ANOVA additionally assumes homogeneity of variance, because of this that that the variance many of the organizations must be about equal. ANOVA additionally assumes that the observations are impartial of every other. is primarily based totally on the idea that the populations must have the identical variance and they may be usually distributed.
Also, the pattern must be decided on randomly and independently from the populations. The handiest assumption that isn't required to apply ANOVA is c) All samples are of the identical size.The factorial ANOVA has a numerous assumptions that want to be fulfilled – (1) c programming language information of the based variable, (2) normality, (3) homoscedasticity, and (4) no multicollinearity.
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the amount of a sum of money in 2 yrs and 5 yrs are rs 2800 and rs 3250 respectively. Find the sum
Answer: 6050
Step-by-step explanation: 2800 + 3250 = 6050
Answer:2500
Step-by-step explanation:
The Amount increases to 2800 after 2 years
it increases 3250 after 5 years
so , in 3 years it increased ( 3250-2800) = 450 rupees.
in 3 years it increased 450
so in 1 it increased 150
according to the problem the sum amounts to 2800 rupees
so in 2 years it increased (150*2)=
300 rupees ,
So the sum was (2800-300) =
2500 rupees
a bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 210.0 and a standard deviation of 50.0. if an applicant is randomly selected, find the probability of a rating that is between 176.0 and 214.0.
The probability of a rating that is between 176 and 214 is,
[tex]P(176\leq x\leq 214)=0.21994[/tex]
Since the credit ratings are normally distributed.
Now, apply the formula for normal distribution. Which is shown below,
[tex]z=\frac{x-u}{sd}[/tex]
x=credit ratings for applicants.
u=mean.
sd standard deviation.
From the given information, µ = 210 and σ = 50
For x = 176,
[tex]z=\frac{176-210}{50} =-0.68[/tex]
In the normal distribution table, the probability corresponding to the -0.68 z-score is 0.25175
For x =214,
[tex]z=\frac{214-210}{50} =0.08[/tex]
In a normal distribution table, the probability corresponding to the z score of 0.08 is 0.03788
Thus,
[tex]P(176\leq x\leq 214)=0.25175-0.03181=0.21994[/tex]
Hence, The probability of a rating that is between 176 and 214 is,
[tex]P(176\leq x\leq 214)=0.21994[/tex]
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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places? (b)What is the 31 percentile of the distribution of test scores, rounded to three decimal places?
Using z-scores the answers are found to be, part(a) 0.02280 and part(b) = 22.980 points
What is z-score?Z-score is a value that describes the deviation of a value from the standard deviation. Z-score is the number of standard deviations a given data point lies above or below mean.
What is the formula for z-score?The formula for z-score is,
z = (x - µ) / a
where µ is the mean of data set and a is the standard deviation of the data
For part (a),
z = 26-22/2
z = 2.00
P(x>26) = 0.5 - 0.4772
P(x>26) = 0.02280
For part(b),
To find the value of x we first need to find the value of z-score. z-score at 100 - 31 - 50 = 19% = 0.19
At an area of approximately 0.19, the z-score is 0.49
Using above formula, 0.49 = (x -22)/2
x = 22.980
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suppose that frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. the first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. what is the probability that frida picked a ball from the first box if she has selected a blue ball? (enter the value of the probability in decimal format and round the final answer to one decimal place.)
If Frida chose a blue ball, there is a 3/4 probability that she chose a ball from the first box.
What is probability?The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur.
Probabilistic and odds are two distinct ideas.
Odds are determined by dividing the likelihood of an event by the likelihood that it won't.
So, we have:
Initial box:
3 white balls
2 blue balls.
Next box:
4 white balls.
1 blue ball.
If Frida chose a blue ball, the likelihood that she chose a ball from the first box is:
Probability (P) = (required outcome / Total possible outcomes)
Probability of picking the first box : P(F) = 1/2
Probability of not picking the second box :P(S) 1/2
Probability of picking blue from the first box : P(B | F) = 3/5
Probability of picking blue, but not from the first box : P(Blue not from the second box) P(B|S) = 1/5
If Frida chose a blue ball, there is a chance she chose a ball from the first box:
P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))
(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)
3/10 ÷ (3/10 + 1/10)
3/10 ÷ 4/10
3/10 * 10/4
= 3/4
Therefore, if Frida chose a blue ball, there is a 3/4 chance that she chose a ball from the first box.
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You earn 15n dollars for mowing n lawns. How much do you earn for mowing 1 lawn? 7 lawns?
Answer:
Step-by-step explanation:
You plug in the number of lawns mowed for "n"
So 1 lawn would be 15(1) (15 times 1)
15(1)=15
15(2)=30
15(3)=45
15(4)=60
15(5)=75
15(6)=90
15(7)=105
15(8)=120
15(9)=135
15(10)=150
and so on
What i the value of x? (5 point) A right angle i hown divided into two part. The meaure of one part of the right angle i 30 degree. The meaure of the other part i 4x
The measure of the other part i 4x is 40degrees.
What is right angle measures?
Right angles may be found everywhere around us. The corners of a room, a book, a cube, windows, among other locations, all have right angles. The most typical right angles are those formed by a vertical and a horizontal line. However, right angles are also created when diagonal lines cross one other.
The words "right" and "correct" share the same origin, although "right angle" comes from the second meaning rather than the first. Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.
A right angle measures 90 degrees, so the part labeled 2x measures 90-10 = 80 degrees. If 2x is 80 degrees, x must be 40 degrees.
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an airplane travels 5032 kilometers against the wind in 8 hours and 6152 kilometers with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 644 kilometers per hour. The rate of the wind is 72 kilometers per hour.
To calculate the rate of the plane in still air and the rate of the wind, we can use the formula Rate = Distance/Time. To calculate the rate of the plane in still air, we can use the distance of 5032 kilometers and the time of 8 hours to get a rate of 644 kilometers per hour. To calculate the rate of the wind, we can subtract the rate of the plane in still air (644 kilometers per hour) from the rate of the plane with the wind (6152 kilometers per hour) to get a rate of 72 kilometers per hour. Therefore, the rate of the plane in still air is 644 kilometers per hour and the rate of the wind is 72 kilometers per hour.
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is tangent to circle A at point G. If AG = 8 and GI = 15, determine the length of .
1) 17 units
2) 18.3 units
3) 15 units
4) 12.7 units
Answer:
hope u want to know the length of AH.
it is 17 units
Step-by-step explanation:
AGH is 90° (tangent )
AG is 8 units and GH is 15 units (Data)
so using Pythegorus theorem
AG² + GH² = AH²
gives √(8²+15²)
= 17 units
determine the area of the region bounded by the given function, the x -axis, and the given vertical lines. the region lies above the x -axis. f ( x )
the region lies above the x -axis. f ( x )= x2 + x , x = −4, x = 2.The area of the region is (2^2 + 2) - (-4^2 + -4) = 26.
To determine the area of the region bounded by the given function, the x-axis, and the given vertical lines, we must first calculate the area of the region. To do this, we need to find the area of the region above the x-axis. To do this, we must calculate the area under the function between the given vertical lines. The area of the region is the area under the function f(x) = x2 + x between x = -4 and x = 2.
(2^2 + 2) - (-4^2 + -4)
= 26.
This can be calculated by solving the integral of the function from -4 to 2, which gives us the answer of 26.
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Solve | x + 5 | - 6 = 7
Answer:
x=8
Step-by-step explanation:
|x+5|−6=7
|x+5|−6+6=7+6
|x+5|=13
|x+5|=13
x+5=13
x+5−5=13−5
x=8
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the average height of women in the united states is 62 inches with a standard deviation of 2 inches. what is the height of a woman who is 1 standard deviations below the mean?
1) To find a standardized score (z-score), take the individual core minus the mean, then divide by the standard deviation: z = (score - mean)/ SD
Shuri's standardized score would be: z = (69.5 - 65)/2.5 = 1.8
2) First, find the z-score for 62 in: z= (62 - 65) / 2.5 = -1.2
Next, look up -1.2 in a z-table. The corresponding number in the table is .1151.
Multiple this number by 100 to get a percentage: .1151 * 100 = 11.51%
Thus 11.51% of people will be less than 62 inches.
3) Outliers are defined differently dependent on who you ask, often values that are 3 standard deviations (or more) above or below the mean are considered an outlier.
Use the same formula for finding a z-score: z= (score - mean)/ SD
For the taller height use 3:
3= (x - 65)/2.5
Do a little algebra and you get: 3(2.5) + 65 = x thus x = 72.5 or taller
For the shorter height, use -3:
-3(2.5) + 65 = x thus x = 57.5 or shorter
If you need to use a different value for an outlier, then use that number in place of +/- 3.
Hence we get the desired answer.
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Your question is incomplete. Please find the missing content below.
A sample of 300 adult women finds that their heights are approximately Normally distributed with an average height of 65 inches and a standard deviation of 2.5 inches.
1) Shuri is 69.5 inches tall. What is her standard score for height?
2) How many women in the sample would you expect to be less than 62 inches tall?
3) How tall or short would a woman have to be to be considered an outlier? Show your work.
the number of pieces of cat food in a one-cup scoop is approximately normally distributed with a mean of 344 pieces and a standard deviation of 16 pieces. if a random sample of 28 scoops of cat food is selected, what is the probability that the mean number of pieces will be more than 350 pieces?
Answer:
the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228
Step-by-step explanation:
To find the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces, we can use the normal distribution.
The standard error of the mean for a sample of size 28 is the standard deviation of the population divided by the square root of the sample size, or 16 / sqrt(28) = 2.8.
This means that the distribution of the sample means is approximately normally distributed with a mean of 344 pieces and a standard error of 2.8 pieces.
To find the probability that the sample mean is more than 350 pieces, we can use the cumulative distribution function of the normal distribution. In this case, we want to find the probability that a normally distributed random variable is greater than 350.
Using a normal distribution calculator or table, we can find that the probability that a normally distributed random variable with a mean of 344 and a standard error of 2.8 is greater than 350 is approximately 0.0228.
Therefore, the probability that the mean number of pieces in a sample of 28 scoops is more than 350 pieces is approximately 0.0228.
an online retailer determines that people click on a particular advertisement 2\%2%2, percent of the times it appears. let vvv be the number of times the advertisement appears to get the first person to click on it. assume each click is independent. find the probability that a person first clicks on the advertisement the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript time it appears. you may round your answer to the nearest hundredth.
The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).
To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:
[tex]P(X = k) = (1 - p)^{(k-1)}* p[/tex]
where:
P(X = k) is the probability of the event occurring on the kth trial,
p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,
k is the number of trials (number of times the advertisement appears) until the first success (first click).
In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.
[tex]P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02[/tex]
P(X = 8) ≈ 0.0177
So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).
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Please help meeeeee !!????!!!!
Answer: She fills 2 full boxes and has 3 animals left over.
Step-by-step explanation: To find how many full boxes she can fill, we can do 5 x 2, without going over. So, 5 x 2 is 10, so now we subtract 10 from 13 and get 3, so this explains that we that she can fill 2 FULL boxes, yet have 3 animals LEFT OVER. I hoped this helped!
Answer:
2 boxes can be filed completely with 3 stuffed animals left over.
Step-by-step explanation:
Take the number of stuffed animals (13) and dive that by the number that will fit in each box (2). The remainder is how many extra stuffed animals are left.
13 ÷ 2 = 5 remainder 3
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill was $60.
What is Emika’s monthly budget?
if a die is rolled 4 times, what is the probability that a number greater than 3 is rolled at least 2 times? (round your answer to three decimal places.)
1.521 is the probability when the die is rolled at least two times which is greater than 3.
Probability: It is an event that depends upon the number of favorable outcomes and the total outcomes, and also defines the ratio of the number of favorable outcomes to the total outcomes in that sample space.
The general formula for probability is:
P(A)=n/N=outcomes in A/outcomes in sample space.
Here, a number greater than 3 we can take as 4 or 5 so the total number of dies rolled is 4, and the total number of the die is 6 which is rolled 2 times greater than 3.
[tex]P(A)=2-(\frac{5}{6} )^4\\\\P(A)=2-(\frac{625}{1296} )\\\\P(A)=\frac{2592-625}{1296} \\\\P(A)=\frac{1971}{1296} \\\\P(A)=1.5208333[/tex]
Thus, the total probability is 1.521
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PLEASE HELP (attached image)
Answer:3
Step-by-step explanation: if you fo it wrong so thats the answer